Answer:
x= - 16
Step-by-step explanation:
\(13-\frac{3}{2}x=37\\-\frac{3}{2}x=24\\x=24(-\frac{2}{3})\\x=-16\)
you start off by subtracting 13 from both sides
then you divide both sides by -3\2 or simply multiply by -2\3 because when you divide by a fraction you are multiplying by the reciprocal
these steps leave you with the answer x= -16
A pilot needs to know if a plane with clear the tower. The plane will travel 1300 yards
before lifting off the ground to travel another 705 yards after which point the plane will
be directly over the tower. If the plane had continued on the runway, it is another 700
yards to the control tower, which is 250 feet high
Which statement best describes how to determine if the plane clears the tower?
Use the Pythagorean Theorem where the distance to the tower is a les of the right triangle and
the height of the tower is the other leg. Verity that these equal the exact distance in the air. It
not exactly the same, the plane does not clear the tower
Use the Pythagorean Theorem where the distance to the tower is a leg of the right triangle and
the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the
tower height
Use the Pythagorean Theorem where the distance to the tower plus the distance the plane
travels on the ground is a leg of the right triangle and the distance in the air is the hypotenuse
Find the other leg. Convert to feet to compare to the tower height
Answer:
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
Step-by-step explanation:
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
h = √(R² - x²)
We have;
R = 705 yards
x = 700 yards
∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281
The height of the control tower, h = 5·√281 yards
1 yard = 3 feet
∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
The height of the control tower = 250 feet and the plane the height of approximately 251.446 feet clears the tower.
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards.
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows.
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle.
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle.
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
\(h = \sqrt{(R^2 - x^2)}\)
We have given that
R = 705 yards
x = 700 yards
\(h = \sqrt{(R^2 - x^2)} \\ h = \sqrt{(705^2 - 700^2)}\\ h= 5\times \sqrt {281}\)
The height of the control tower,\(h = 5 \sqrt {281}\) yards.
What is the value of one yard in feet?1 yard = 3 feet
\(5\sqrt {281} yards= 3 \times 5\times \sqrt{281} feet \approx 251.446 feet\)
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
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A company uses a coding system to identify its clients. each code is made up of two letters and a sequence of digits, for example ad108 or rr45789. the letters are chosen from a, d, r, s and i. letters may be repeated in the code. the digits 0 to 9 are used , but no digit may be repeated in the code. how many different clients can be identified with a coding system that is made up of two letters and two digits?
The correct answer is option 3: 2250. To calculate the number of different clients that can be identified with a coding system we need to multiply the number of options for each component.
For the two-letter component, there are five options (A, D, R, S, U) that can be chosen for each letter. Since repetition is allowed, there are 5 choices for the first letter and 5 choices for the second letter. Therefore, there are 5 x 5 = 25 possible combinations of two letters.
For the two-digit component, there are 10 options (0-9) for the first digit. Since no digit can be repeated, there are 9 options for the second digit (one less than the available options). Therefore, there are 10 x 9 = 90 possible combinations of two digits.
To calculate the total number of different clients that can be identified, we multiply the number of options for the two-letter component (25) by the number of options for the two-digit component (90). This gives us a total of 25 x 90 = 2250 different clients that can be identified with the coding system.
#A company uses a coding system to identify its clients. Each code is made up of two letters and a sequence of digits, for example AD108 or RR45789 The letters are chosen from A;D; R; S and U. Letters may be repeated in the code. The digits 0 to 9 are used, but NO digit may be repeated in the code. The number of different clients that can be identified with a coding system that is made up of TWO letters and TWO digits is: 1. 2230 2. 2240 3. 2250 4. 2210 22
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you are surveying students to find out their opinion of th equiality of food served in the school cafeteria. you decide to poll only those students who but hot lunch on a particular day. is your sample random? explain.
No, the sample in this case is not random.
The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.
This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.
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The distance remaining to a destination after t minutes is given by d(t) = 340-0. 85t, measured in miles. The graph of d(t) is shown below.
After how many minutes is the destination reached?
In 400 minutes, it will reach the destination.
What is distance?
Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over"). The term is also frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects (such as statistical distance between probability distributions or edit distance between strings of text) or a degree of separation, as spatial thinking is a rich source of conceptual metaphors in human thought (as exemplified by distance between people in a social network). The concept of a metric space is used in mathematics to formalise the majority of these notions of distance, both literal and figurative.
Distance is equal to speed × time. Time is equal Distance/Speed.
we have given, d(t)=340-0.85t
where, t is the time and d(t) is the distance.
when t = 0 we get,
d(t)=340
If we set d(t)=0 we get, 0= 340- 0.85t
add with 0.85t on both side
0.85t=340
t= 340/0.85
t= 400 minutes
Hence, the time taken to reach the destination is 400 minutes.
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in a tribe of 100 people, there are two albinos. one day, five individuals from that population - including the two albinos - go on a fishing trip. unfortunately, there is a storm and the five individuals become marooned on a deserted island. no way to get back home, they eventually settle on the island and start populating (i.e. having kids). this specific scenario reflects what phenomenon described in your book? two words.
The settlement and subsequent population growth on the deserted island exemplify the process of genetic drift.
The specific scenario described in your question reflects the phenomenon of genetic drift. Genetic drift refers to the random changes in allele frequencies that occur in a small population due to chance events.
In this case, the population of the deserted island is derived from only five individuals, including the two albinos.
As the population size is significantly reduced compared to the original tribe of 100 people, genetic drift becomes more influential in shaping the allele frequencies of the population. This is because the random chance of passing on certain alleles becomes more pronounced in smaller populations.
Therefore, the settlement and subsequent population growth on the deserted island exemplify the process of genetic drift.
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Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A . Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answer:
A=6 cm, D=4.5cm and E=80 cm
Step-by-step explanation:
a ball is dropped to the ground from a certain height. the expression 25(0.93)x what is the percent of change in the height of the ball after each bounce?
The percent change in height after the second bounce would be:
Percent change = [(h_2 - h_1) / h_1] * 100%
The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.
Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.
The percent change in height after the first bounce is given by:
Percent change = [(h_1 - original height) / original height] * 100%
Using the given expression, we can substitute x = 1 to find h_1:
h_1 = \(25(0.93)^1\) = 23.25
Therefore, the percent change in height after the first bounce is:
Percent change = [(23.25 - original height) / original height] * 100%
To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:
h_2 = \(25(0.93)^2\)
And the percent change in height after the second bounce would be:
Percent change = [(h_2 - h_1) / h_1] * 100%
You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.
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If Colorado Springs, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does each city have if there are a total of 482 days of sunshine between the two in a year?
Colorado and Boston have 263 and 219 days of sunshine respectively.
What is the solution to the Equation?Let the number of days of sunshine in Colorado is x and the number of days of sunshine in Boston is y.
Total number of days of sunshine=482
Also, the number of days of sunshine in Colorado is 1.2 times the number of days of sunshine in Boston.
So, the equation is formed as follows:
x+y=482 -(1)
The other equation is formed as:
x=1.2y -(2)
Substitute the value x from equation (2) in (1),
1.2y+y=482
2.2y=482
y=482/2.2
y=219
Substitute the value of y in equation (1),
x+219=482
x=482-219
x=263
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Moon Software Inc. is planning to issue two types of 25-year, noncallable bonds to raise a total of $6 million, $3 million from each type of bond. First, 3,000 bonds with a 10% semiannual coupon will be sold at their $1,000 par value to raise $3,000,000. These are called "par" bonds. Second, Original Issue Discount (OID) bonds, also with a 25 -year maturity and a $1,000 par value, will be sold, but these bonds will have a semiannual coupon of only 7.75%. The OID bonds must be offered at below par in order to provide investors with the same effective yield as the par bonds. How many OID bonds must the firm issue to raise $3,000,000 ? Disregard flotation costs, and round your final answer up to a whole number of bonds.
3,776
3,096
3,927
2,870
4,456
Moon Software Inc. must issue approximately 3,927 OID bonds to raise $3,000,000.
The par bonds have a coupon rate of 10% and a par value of $1,000. To raise $3,000,000, Moon Software Inc. needs to issue 3,000 par bonds since $3,000,000 divided by $1,000 equals 3,000.
The OID bonds have a semiannual coupon rate of 7.75% and a par value of $1,000. Since these bonds need to provide investors with the same effective yield as the par bonds, they must be offered at a discount. To calculate the number of OID bonds required, we need to determine the discount needed to match the effective yield of the par bonds.
The effective yield of the par bonds is 10%. The OID bonds have a coupon rate of 7.75%, so the discount needed to match the effective yield is 10% - 7.75% = 2.25%.
To raise $3,000,000 with OID bonds, we divide the amount by the discount rate: $3,000,000 / 2.25% = $133,333,333.33.
Since each OID bond has a par value of $1,000, we divide the total amount by $1,000: $133,333,333.33 / $1,000 = approximately 133,333.33 bonds.
Since we need a whole number of bonds, we round up to the nearest whole number, which gives us 133,334 bonds.
Therefore, Moon Software Inc. must issue approximately 133,334 OID bonds to raise $3,000,000.
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A shop window is 5m long and has an area of 15m2.
a). what is the height of the window?
b). what is the perimeter of the window?
the process of finding the derivative of a function is called____.
The process of finding the derivative of a function is called differentiation.
Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.
The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.
The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.
By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.
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let's see who gets this:) so far no one has got it
my bad it's science work
-Oxygenated blood is pumped to the rest of the body via the aorta.
-Deoxygenated blood (blood that needs oxygen) coming from the body.
-Then is pumped to the right ventricle.
-Then is pumped to the lunges to get oxygen via the pulmonary artery,
-Oxygenated blood from the lunges flows into the left atrium via the pulmonary vein.
-Flows into the right atrium.
-Then is pumped into the left ventricle.
I'm very confident in this answer, but if it happens to be wrong, I'm sorry.
I hope this helps, good luck!
I know how to do this, but for some reason got it wring on a Test. Can someone demonstrate how to do it so that I know what I'm doing wrong?
Answer:
Answer on a graph
how many candies are inside 2 boxes each having dimensions 18 inches length by 11 inches width and 9 inches high is a total of 35 pounds of candy.
Step-by-step explanation:
To determine the number of candies inside the two boxes, we need to calculate the volume of each box and then convert the weight of the candy to a volume measurement. Let's break down the process step by step:
1. Calculate the volume of one box:
Volume = Length x Width x Height
Volume = 18 inches x 11 inches x 9 inches
Volume = 1782 cubic inches
2. Calculate the total volume of two boxes:
Total Volume = 2 x Volume
Total Volume = 2 x 1782 cubic inches
Total Volume = 3564 cubic inches
3. Convert the weight of the candy to a volume measurement:
Since we have 35 pounds of candy, we need to determine the density of the candy to convert it to volume. Without information about the candy's density, we cannot accurately convert the weight to volume.
Without knowing the density of the candy or its volume-to-weight ratio, it's not possible to determine the exact number of candies inside the two boxes based solely on the given information. The number of candies would depend on the density or the average volume of each candy.
PLEASE HELP WILL MARK BRAINLIEST
Dont use your calculator pls 80×50×70=
Step-by-step explanation:
80 x 50 = 4000
and 4000 x 70 = 2,80,000
Answer:
280000
Step-by-step explanation:
First you take the zeros off the end of each number.
80 = 8
50 = 5
70 = 7
Then you times the three numbers together.
8 × 5 = 40
40 × 7 = 280
Now you add back the three zeros, and you get the answer!
Help me please thhhannkkk youuu
Answer:
25 . 3 %
Step-by-step explanation:
it has the circuits of the brain
For the line that has the equation 3 x_1 +5 x_2=30, an axis intercept is: A) (10,6) B) (0,8) C) (6,10) D) (10,0)
The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.
The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10
So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).
In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.
Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D
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PLEASE HELP
(image included)
Answer:
Cameron found 23 quarters and 57 dimes.
Step-by-step explanation:
Let the number of quarters Cameron found = Q
And the number of dimes = D
Since, total number of coins were 80,
Q + D = 80 -----(1)
Total amount of the coins was $11.45,
0.1D + 0.25Q = 11.45
10D + 25Q = 1145
2D + 5Q = 229 -----(2)
Equation (1) multiplied by 2 then subtracted by equation (2),
(2D + 5Q) - 2(Q + D) = 229 - 2(80)
(2D - 2D) + (5Q - 2Q) = 229 - 160
3Q = 69
Q = 23
From equation (1),
23 + D = 80
D = 57
Cameron found 23 quarters and 57 dimes.
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.
Answer:
15 3/4 = (15*4 + 3)/4 = 63/4
5*(63/4) = 78.74 OR 78 3/4
The change in the total number of bushels is 78 3/4 bushels.
5. (04.03 LC) Given a polynomial f(x), if (x + 5) is a factor, what else must be true? (6 points) O f(0) = 5 Of(0) = -5 O f(5) = 0 f(-5) = 0 6. (04.04 LC)
If (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.
Given that (x+5) is a factor the polynomial f(x) and we are required to be the condition that will be true.
Polynomial is combination of algebraic terms may be in addition, subtraction, multiplication and division. If the highest power of variable in polynomial is one then it is said to be monomial ,If the highest power of variable in polynomial is two then it is said to be binomial,If the highest power of variable in polynomial is three then it is said to be trinomial and many more polynomials.
Factors are the numbers which when multiplied gives the number whose factors they are.
It is given that (x+5) is a factor of f(x).
Put (x+5)=0
x=-5
means when we are putting x=-5 then we will get 0.
Hence if (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.
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HELP ME PLSSSSSS...........
Answer:
B Or c I tHaNK I pROBly Wrong
I know how to type I just type weird
I think the answer will be D.
Step-by-step explanation:
2 3\5 < b - 8\15
Multiply both sides of the equation by 15, the least common multiple of 5,15. Since 15 is positive, the inequality direction remains the same.
3(2×5+3)<15b−8
Multiply 2 and 5 to get 10.
3(10+3)<15b−8
Add 10 and 3 to get 13.
3×13<15b−8
Multiply 3 and 13 to get 39.
39<15b−8
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
15b−8>39
Add 8 to both sides.
15b>39+8
Add 39 and 8 to get 47.
15b>47
Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.
b > 47\15
= b > 3 2\15
f(x) = -0.05x² +0.70x + 37.97
Predict the percent of workers that stay at their job in the year 2008.
The predicted percent of workers that stay at their job in the year 2008 is approximately 124.2%.
To predict the percent of workers that stay at their job in the year 2008 using the given function F(x) = -0.05x² + 0.70x + 37.97, we need to substitute x = 2008 into the function and evaluate it. The value of F(2008) will give us the predicted percent of workers that stay at their job in the year 2008.
F(2008) = -0.05(2008)² + 0.70(2008) + 37.97
F(2008) = -0.05(4,032.64) + 1,405.6 + 37.97
F(2008) = -201.632 + 1,443.57
F(2008) = 1,241.938
Since the function F(x) gives us the percentage of workers who stay at their job as a decimal, we need to convert the answer to a percentage by multiplying it by 100:
F(2008) = 1,241.938 * 100%
F(2008) = 124.1938%
Therefore, the predicted percent of workers that stay at their job in the year 2008 is approximately 124.2%.
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Suppose A is an mxn matrix and there exist nxm matrices C and D such that CA=In and AD=Im. Prove that m=n and C=D.
m=n and C=D, as CD is an nxn matrix and In and Im have dimensions nxn and mxm, respectively.
To prove that m=n, let us consider the dimensions of the matrices involved. The matrix product CD has dimensions nxm times mxn, which gives an nxn matrix. On the other hand, the identity matrices In and Im have dimensions nxn and mxm, respectively. Therefore, for the products CA and AD to be well-defined, we must have m=n.
Now, let us show that C=D. We have:
CA = In (given)
AD = Im (given)
Multiplying both sides of the first equation by D on the right and both sides of the second equation by C on the left, we get:
CAD = D (from CA=In)
CAD = C (from AD=Im)
Since CAD is equal to both D and C, we have D=C. Therefore, the matrices C and D are equal, and we have proved that m=n and C=D.
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select all the examples of exponential function
a) y=3x-2
b) y=3^x
c) y=(1/2)^3x
d) y=3x^2
E) y=(1/2)^x
Answer:
Select all the examples of the exponential function
a) y=3x-2
b) y=3^x
c) y=(1/2)^3x
d) y=3x^2
E) y=(1/2)^x
part of a multiplication table is below. complete the pattern in the multiplication table. click each dot on the image to select an answer. a partial multiplication table with 3 rows and 3 columns. the first row reads 40, 45, 50. the second row reads an unknown number, 54, 60. the third row reads 56, an unknown number, 70. stuck?.
the completed multiplication table is: 40 45 50 ,72 54 60 and 56 90 70 .by using common factor logic we can solve this question.
what is common factor ?
A common factor is a number that divides evenly into two or more other numbers. For example, the common factors of 12 and 18 are 1, 2, 3, and 6, because all of these numbers divide evenly into both 12 and 18.
In the given question,
From the given table, we can see that:
The first row reads 40, 45, 50 (which are multiples of 5).
The second row has an unknown number (let's call it x), 54, and 60.
The third row reads 56, an unknown number (let's call it y), 70 (which are also multiples of 7).
To find the missing numbers, we can use the fact that multiplication is commutative, meaning that the order of the factors does not matter. Therefore, we can fill in the missing numbers by looking for factors that are common to both the row and column headers.
Starting with the second row, we can see that the common factor between x and 54 is 9, since 9 x 6 = 54 and 9 x x = ?. So, the missing number in the second row is 9 x 10 = 90.
Moving on to the first column, we can see that the common factor between 40 and 56 is 8, since 8 x 5 = 40 and 8 x 7 = 56. So, the missing number in the second row, first column is 8 x 9 = 72.
Finally, we can find the missing number in the first row, second column by finding the common factor between 45 and 60, which is 15, since 15 x 3 = 45 and 15 x 4 = 60. So, the missing number in the first row, second column is 15 x 5 = 75.
Therefore, the completed multiplication table is:
40 45 50
72 54 60
56 90 70
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I need help with this question
8x4=(x times 7) - (x times 3)
Answer:
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
8 x 4 = (xtimes⋅7) − (xtimes⋅3)
Lydia is deciding between two different movie streaming sites to subscribe to. Plan A costs $5 per month plus $2.50 per movie watched. Plan B costs $24 per month plus $1.50 per movie watched. Let A represent the monthly cost of Plan A if Lydia watches : per month, and let B represent the monthly cost of Plan B if Lydia watches z movies per month. Write an equation for each situation, in terms of x, and determine which plan would be cheaper if Lydia plans on watching 21 movies each BE - iss cheaper than when watching 21 movies.
ASAp question in pic
Answer:
B and E
Step-by-step explanation:
They have different slopes so of course they will have to intersect at least 1 time. And if they were curved, it would be more than 1. But these are lines so it would be just 1 intersection. So B is one of the answers.
The solutions of the system are x = 0 and y = 2
I hope this helped, please mark me brainliest!
Step-by-step explanation:
y = 2x + 2 and y = 6x + 2
=> 2x + 2 = 6x + 2
=> 2x = 6x
=> 4x = 0, x = 0.
Therefore y = 2(0) + 2 = 2.
The point of intersection is (0, 2).
Hence there is exactly 1 point of intersection and exactly 1 real solution. (B and E)
Anton's mechanic charged $75 for a radiator and $50 per hour for labor. The total cost to install the radiator was $325. Approximately how long did it take the mechanic to install the radiator?
Answer:
5 hours
Step-by-step explanation:
325 - 75 = 250
250 / 50 = 5(hours)