The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25
How to find which has a quotient?
Long division or repeated subtraction can be used to accomplish this.Finding the quotient of two integers, fractions, or algebraic words is achievable.Quotient * Dividend = Divisor
A. 4.15 ÷ 2.5
Quotient = 1.66
Divisor = Quotient * 2.5
= 1.66 * 2.5
= 4.15
So, Option A is a correct answer.
B. 0.415÷0.25
Divisor = Quotient * 0.25
= 1.66 * 0.25
= 0.415
So, Option B is a correct answer.
C. 41.5÷0.25
Divisor = Quotient * 0.25
= 1.66 * 0.25
= 0.415 ≠ 41.5
So, Option C is not a correct answer.
D. 4.15÷0.25
Divisor = Quotient * 0.25
= 1.66 * 0.25
= 0.415 ≠ 4.15
So, Option D is not a correct answer.
E. 0.415 ÷ 2
Divisor = Quotient * 0.25
= 1.66 * 2
= 3.32 ≠ 0.415
So, Option E is not a correct answer.
Hence, The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25
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Find the value of x.
helpppp pleaseee!!
Answer:
x = 50
Step-by-step explanation:
Since this is a quadrilateral, the sum is 360 degrees
2x+x+10 + 3x+x = 360
Combine like terms
7x+10 =360
Subtract 10 from each side
7x+10-10 = 360-10
7x = 350
Divide by 7
7x/7 = 350/7
x = 50
Answer:
\(x = 50\)
Step-by-step explanation:
Sum of the interior angles in a quadrilateral
= 360°
Let's solve now
\(x + 10 + 3x + x + 2x = 360 \\ 7x + 10 = 360 \\ 7x = 360 - 10 \\ 7x = 350 \\ \frac{7x}{7} = \frac{350}{7} \\ x = 50\)
hope this helps you.
NEED HELP ASAP
If you roll a 6-sided die 12 times, what is the best prediction possible for the number of times you will roll a six?
Answer:
2 times
Step-by-step explanation:
the probability to get a 6 is 1/6. multiply it by 12/1, to get 12/6 which is 2
What is the total surface area of the square pyramid?
Answer:
SA = 397 m^2
Step-by-step explanation:
a = 10m
h = 14m
SA=a^2+2a \(\sqrt{\frac{a^2}{4} + h^2}\)
SA = (10)^2+2(10) \(\sqrt{\frac{(10)^2}{4} + (14)^2}\)
SA = 397.32137 = 397 m^2
Can someone please help me
Answer: which one do you prefer
Step-by-step explanation:
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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The middle school population is made up of 55% girls and 45% boys. Of the boys 40% have siblings what percent of the middle school population has siblings
Answer:2.5%
Step-by-step explanation:
2.5% of the school has sibloings
55+45=100
100÷40=2.5
An artist draws a square chalk mural with side length a. The artist decides to enlarge the mural. The area of the new mural is represented by (5a)(3a + 2).
Simplify the expression (5a)(3a + 2).
8a + 2
15a2 + 10a
15a2 + 10
8a2 + 10a
The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.
To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.
First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.
Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.
Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.
The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.
In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.
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A small fruit basket costs $8 and a large fruit basket costs $24. The small basket
contains 6 apples and 4 pears. The large basket contains 18 apples and 12 pears.
a. Write a system of linear equations to represent this situation.
b. Can you find the unit price of each fruit?
Answer:One apple is 1.17
One pear 0.25
See below :)
Step-by-step explanation:
7 times a number plus 3 is 38. find the number
Answer:
5
Step-by-step explanation:
7 x 5 = 35
35 + 3 = 38
A city planning commission recently voted to restrict the size of home remodels by limiting the floor area to lot area ratio to maximum of 0.60 to 1. Under these guidelines,
A) what would be the maximum allowable size of a remodel on an 11,400 sq ft lot?
B) what size lot would be required in order to create a 5040 sq ft remodel?
Answer:
Step-by-step explanation:
From the given information:
The ratio of the limiting floor area to lot area is 0.60 to 1
i.e.
= 0.60 : 1
For instance, let's take that the remodel size as p sq.ft on 1140 sq.ft
Then, the ratio = \(\dfrac{p}{11400}\)
The proportion of these equations is as follows:
\(\dfrac{p}{11400} = \dfrac{0.60}{1}\)
\(p \times 1 = 11400 \times 0.60\)
\(p = 11400 \times \dfrac{60}{100}\)
\(p =\dfrac{ 11400 \times 60}{100}\)
\(p =\dfrac{ 114 \times 100 \times 60}{100}\)
\(p = 114 \times 60\)
p = 6840 sq ft
Thus, the maximum allowable size of a remodeled house is 6840 sq.ft
b.
Recall that, the size of the home remodeled by limiting floor to lot area is
0.60:1
Then the proportion equation form is as follows:
\(\dfrac{0.60}{1}= \dfrac{5040}{x}\)
By cross multiplying
\(0.60 \times x = 5040 \times 1\)
\(x = \dfrac{5040 \times 1}{0.60 }\)
\(x = \dfrac{5040 \times 100}{60 }\)
\(x = \dfrac{84 \times 60 \times 100}{60 }\)
\(x =84 \times 100\)
x = 8400 sq.ft
Hence, the size of lot area is 8,400 sq.ft
Pet owners may have to take out a loan when their animal has a major operation. Buddy needs to have surgery on his leg. The cost of the surgery is $2500. His owner will get a loan for this amount over 2 years at a rate of 7.5%. How much will the interest be on this loan
Evaluate the expression for X=6 y= -1 4x + 5y
We know the value of x and y,
x = 6 and y = -1 [Given]
Substitute the value,
4x + 5y4(6) + 5(-1)24 + (-5)24 - 519 Ans.13. When feeding, a juvenile whale shark filters about 600 cubic meters of water through its
mouth each hour. About 2.8 kilograms of food are filtered out from the water each hour.
120
a. Graph the function that represents the amount a of water filtered by the whale shark as a
function of the number of minutes.
m
b. The whale shark feeds for 7.5 hours each day. Graph the function that represents the amount f
of food (in pounds) filtered by the whale shark as a function of the number d of days.
Answer:214.29
Step-by-step explanation:600 divided by 2.8
possibly the answer
A 2-column table the first column is labeled Minutes per Week of Moderate/Vigorous Physical Activity with entries 30, 90, 180, 330, 420. The second column is labeled Relative Risk of Premature Death with entries 1, .8, .73, .64, .615.
According to the data, how does a persons relative risk of premature death change in coloration to changes in physical activity?
The risk of dying prematurely increases as people become more physically active.
The risk of dying prematurely does not change in correlation to changes in physical activity.
The risk of dying prematurely declines as people become more physically active.
The risk of dying prematurely declines as people become less physically active
Answer:
its c on edge
Step-by-step explanation:
Answer:
C. The risk of dying prematurely declines as people become more physically active.
Explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
Solve for m
Enter only the numerical value in the box. Do not enter units.
Answer:
∠ C ≈ 73.7°
Step-by-step explanation:
using the sine ratio in the right triangle
sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then
∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )
Please help me I will give brainliest!
60,20,,30 is the answer
1) (a) For which binomial distribution would a normal approximation be most acceptable? (A) n=50, pi=0.05 (B) n=100, pi=0.04 (C) n=40, pi=0.25 (D) n=400, pi=0.02(b) Concerning confidence intervals, which statement is most nearly correct? (A) we should use z instead of t when n is large (B) we use the studen'ts t distribution when standard deviation is unknown (C) we use the students t distribution to narrow the confidence interval(c) A discrete probability distribution: (A) is a listing of all possible values of the random variable (B) assigns a probability to each possible value of the random variable (C) can assume values between -1 and +1 (D) is independent of the parameters of the distribution
A discrete probability distribution (c) is a listing of all possible values of a random variable (A) and assigns a probability to each possible value (B). It does not have a specific range, such as -1 to +1 (C), and the values it can assume depend on the nature of the random variable and its associated probabilities. The parameters of the distribution, such as mean and variance, affect the shape and characteristics of the distribution (D).
(a) The binomial distribution for which a normal approximation would be most acceptable is (D) n=400, pi=0.02. The normal approximation to the binomial distribution becomes more accurate as the sample size (n) increases and the probability of success (pi) is not too close to 0 or 1. In this case, with n=400 and pi=0.02, both conditions are satisfied, making the normal approximation suitable.
(b) The statement that is most nearly correct concerning confidence intervals is (B) we use the Student's t distribution when the standard deviation is unknown. The confidence interval is used to estimate a range of values within which the true population parameter is likely to fall. When the population standard deviation is unknown, which is often the case, the sample standard deviation is used instead. In such situations, the Student's t distribution is used to account for the additional uncertainty introduced by estimating the standard deviation from the sample. The z distribution is used when the population standard deviation is known, or when the sample size is large enough to rely on the Central Limit Theorem.
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Find the value of k for which the constant function x(t) = k is a solution of the differential equation 312 dx — 5x – 7 = 0. dt
A differential equation is a mathematical equation that relates a function with its derivatives. It describes the relationship between a quantity and its rate of change in continuous time or space.
To find the value of k for which the constant function x(t) = k is a solution of the given differential equation, we substitute x(t) = k into the differential equation and check if it satisfies the equation.
So, we have:
312 dx/dt - 5x - 7 = 0
Substituting x(t) = k, we get:
312 d(k)/dt - 5k - 7 = 0
Since x(t) = k is a constant function, its derivative is zero. Therefore, d(k)/dt = 0.
Substituting d(k)/dt = 0, we get:
-5k - 7 = 0
Solving for k, we get:
k = -7/5
Therefore, the value of k for which the constant function x(t) = k is a solution of the differential equation 312 dx/dt - 5x - 7 = 0 is -7/5.
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PLEASE PLEASE PLEASE HELP ME
Answer:
8 cars
Step-by-step explanation:
8*50= 400
Slope = -1/5, y-Intercept = -1/4
Answer:
\(\sf y =\dfrac{-1}{5}x-\dfrac{1}{4}\)
Step-by-step explanation:
Slope y-intercept form of equation: y =mx +bHere, m is the slope and b is the y-intercept.
Substitute the values of m and b in the above equation.
\(\sf m = \dfrac{-1}{5} \\\\b = \dfrac{-1}{4}\)
Slope y-intercept form:
\(\sf \boxed{y=\dfrac{-1}{5}x - \dfrac{1}{4}}\)
What is a split infinitive and how do you fix it?
Split infinitives are grammatical structures where the words "to" and "infinitive" are separated. Move the phrase separating the infinitive from the split position to get rid of the split infinitive.
In the given question we have to explain, what is a split infinitive and how we fix it.
As we know that,
Split infinitives are grammatical structures in which an adverb or adverbial phrase separates the "to" and "infinitive" halves of what is more often known as the to-infinitive in modern linguistics.
A split infinitive is created when the word "to" and the infinitive verb are separated by an adverb. To eliminate the split infinitive, move the phrase that divides it from the split place.
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What is the slope of the line which passes through the two given points? (Write the answer as a reduced fraction)
(-2, 5) , (3,8)
Answer:
3/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-5)/(3-(-2))
m=3/(3+2)
m=3/5
At a sale, the $39.97 original price of the shirt was marked down to $15.99. About
what percent of decrease is this?
Six girls were playing a game with marbles. The 48 marbles were to be divided evenly among the girls. How many marbles did each girl receive?
Peter has a total of 22 nickels and dimes. There is a total of $1.80. Which of the following is a possible combination of coins that Peter has?
====================================================
Work Shown:
n = number of nickels
22-n = number of dimes
5n = value of the nickels in cents
10(22-n) = value of the dimes in cents
5n+10(22-n) = total value in cents
5n+10(22-n) = 180
5n+220-10n = 180
-5n+220 = 180
-5n = 180-220
-5n = -40
n = -40/(-5)
n = 8 is the number of nickels
22-n = 22-8 = 14 is the number of dimes
-----------------
Check:
8 nickels = 8*5 = 40 cents
14 dimes = 14*10 = 140 cents
8 nickels + 14 dimes = 40 cents + 140 cents = 180 cents = $1.80
8 nickels + 14 dimes = 22 coins total
The answers are confirmed.
What is the rectangular form of z = 6 (cosine (3 pi/4) +isin(3 pi/4) )?
Answer:
the answer is C, I got it too from the website, I got the answer from it
write about your favorite mathematician. who were they, and what was their lasting impact on the field of mathematics? be sure to describe in detail their contribution (i.e. their theorem, their rule, their formula, etc).
Carl Friedrich Gauss, the "Prince of Mathematicians," made groundbreaking contributions to number theory, geometry, physics, and statistics, leaving a lasting impact on the field of mathematics.
We have,
Carl Friedrich Gauss, known as the "Prince of Mathematicians," made significant contributions to number theory, geometry, physics, and statistics.
He formulated the fundamental theorem of arithmetic, developed concepts in differential geometry such as intrinsic curvature and Gaussian curvature, and formulated Gauss's law for electric fields.
Gauss's work laid the foundation for modern mathematics and his emphasis on rigor and precision influenced subsequent generations of mathematicians.
His legacy as one of the greatest mathematicians of all time is based on his profound theorems, laws, and concepts that continue to shape the field.
Thus,
Carl Friedrich Gauss, the "Prince of Mathematicians," made groundbreaking contributions to number theory, geometry, physics, and statistics, leaving a lasting impact on the field of mathematics.
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someone help ASAP will give brianlist
Idon't Know the answer srry
Ms. Garcia's seventh grade class is collecting aluminum cans to buy new board games. They receive $0.35 for each pound of cans they collect. What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a board game that costs $27.20? HELP PLEASE
Answer:
The minimum number of pounds of cans they need to collect is 77. I hope this helps you.
Step-by-step explanation:
You would have to divide $27.20 divided by $0.35 and you would end with 77.7142857143 but basically 77.
find the global extreme values of f(x, y) = x^2 − xy +y^2 on the closed triangular region in the first quadrant bounded by the lines x = 4, y = 0, and y = x.
The global maximum value of f(x, y) on the closed triangular region occurs at either (4, 0) or (0, 4), both of which have a value of 16.
The global minimum value of f(x, y) occurs at the critical point (0, 0), with a value of 0
How to find the global maximum and minimum value of \(f(x,y)\)?To find the Optimization of multivariable functions i.e, global extreme values of \(f(x, y) = x^2 - xy + y^2\) on the closed triangular region in the first quadrant bounded by the lines x = 4, y = 0, and y = x,
We need to first find the critical points of the function in the interior of the region and evaluate the function at these points, and then evaluate the function at the boundary points of the region.
To find the critical points of the function in the interior of the region, we need to solve the system of partial derivatives:
\(df/dx = 2x - y = 0\\f/dy = -x + 2y = 0\)
Solving this system of equations, we get the critical point (x, y) = (0, 0).
To check whether this point is a maximum or a minimum, we need to evaluate the second partial derivatives of f:
\(d^2f/dx^2 = 2\\d^2f/dy^2 = 2\\d^2f/dxdy = -1\)
The determinant of the Hessian matrix is:
\(d^2f/dx^2 \times d^2f/dy^2 - (d^2f/dxdy)^2 = 4 - 1 = 3\)
Since this determinant is positive and \(d^2f/dx^2 = d^2f/dy^2 = 2\) are both positive, the critical point (0, 0) is a local minimum.
Next, we need to evaluate the function at the boundary points of the region. These are:
(4, 0): f(4, 0) = 16
(0, 0): f(0, 0) = 0
(0, 4): f(0, 4) = 16
(y, y) for 0 ≤ y ≤ 4: \(f(y, y) = 2y^2 - y^2 = y^2\)
Therefore, the global maximum value of f(x, y) on the closed triangular region occurs at either (4, 0) or (0, 4), both of which have a value of 16.
The global minimum value of f(x, y) occurs at the critical point (0, 0), with a value of 0.
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