Answer: 2x+17
Step-by-step explanation: add -5 and 22
______________________________
1.) Add −5 and 22:\(-5+22=17\)
- You could also solve this by flipping the numbers around and subtracting 22 - 5, Which still gives you 17.
So your answer is \(\bold{(2x+17)}\).
______________________________
Nick is planning to drive across the country, and he is deciding between a southern route and a northern route. He uses the following pieces of information to determine the total cost of gasoline for each route: His car needs $18$ gallons of gasoline for every $396$ miles driven. The southern route is $3,102$ miles long, and the average cost of gasoline along this route is $\$2.20$ per gallon of gasoline. The northern route is $2,948$ miles long, and the average cost of gasoline along this route is $\$2.28$ per gallon of gasoline. What would be the total cost of gasoline for each route? Show your work.
Answer:305.53 northern route
210.20 southern route
Step-by-step explanation:
Answer:
Answer:305.53 northern route
Step-by-step explanation:
equation a : e= 4f + 1 equation b : e= 3f + 5 which of the following is a step that can be used to find the solution to the set of equations. thank you i will give you brainliest if you answer
Given that \(e = 4f + 1\), and \(e = 3f + 5\), this first step can be to make the equations equivalent to one another. As you can see, each equation is equal to a constant, e. Therefore, we can conclude that the equations can be equal to one another as well ( transitivity ).
_____
Nice and simple question we have here! The step that can be used to find the solution should be \(4f + 1 = 3f + 5\).
HELP I WILL GUVE BRAINLIEST!
The answer is 32.527 or 32.
If you see a box on the top corner of the triangle, use just half of the triangle for this problem. Use it as a right triangle. The Pythagorean Theorem is a²+b²=c². \(\overline{CD}\) is 23, so \(\overline{BD}\) is also 23, because it's called a 45°-45°-90° triangle, due to the angles being the same. Type in √(23^2+23^2) into your calculator, or use an equation solver: 23²+23²=x², solve for x, and you will get 32.527 or 32.
180°
25°
X
x=
100 POINTS PLS HELP
Answer:
x=65*
Step-by-step explanation:
theres a small rectangle near x and it means that the angle is 90*
and the upper angle is 180
180+90+25+x=360*
x=65*
Answer:
∠x=65°
Step-by-step explanation:
The angles given are complementary angles ( 90°).
25°+∠x=90°
∠x=65°
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A.
(5,13)
B.
(5,-7)
C.
(-5,-10)
D.
(-5,-7)
Answer:
(-5,-7)
Step-by-step explanation:
To find points of intersection, first set the two equations equal and then solve for x. Then substitute that x back into either equation for the complete point of intersection.
2x + 3 = -4x - 27
6x = -30
x = -5
2(-5)+3 = -10 + 3 = -7 (substituting our solution into f(x) here)
Answer:
d
Step-by-step explanation:
An investment adviser has determined that ABCD stock would be an appropriate investment for his client, but only if the price falls from the current level of $50 per share to $35 per share. What MUST the adviser do prior to placing an order to buy ABCD stock for the client's account
Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.
The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.
Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.
Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.
Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.
By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.
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laura counted 14 red cars in the sales lots of car dealerships. what is the prime factorization of 14
A 2x7
B 1x14
C 2x2x5
D 2x2x2
help, please
Answer:
a is correct
hope this helps
A triangle has a 45° angle and two sides 8 centimeters in length.Select True or False for each statement about this type of triangle.True FalseThe triangle might be an equilateral triangle.The triangle must be a right triangle.The triangle might be an acute triangle.
Answer
The triangle might be an equilateral triangle.
False
The triangle must be a right triangle.
False
The triangle might be an acute triangle.
True
Explanation
First of, we will explain the different types of triangles that exist based on side lengths and angle measures respectively,
Based on side lengths,
- Scalene triangle has none of its three sides having the same length as another. All the three sides have different lengths. To use angle to know this, all the three angles of a Scalene triangle have different values.
- Isoscelles triangle has two of its sides with the same lengths. In terms of angles, an Isoscelles triangle has two of its angles equal to each other.
- Equilateral triangle has all of its sides equal to one another. In terms of angles, all of the angles of an Equilateral triangle are equal to one another. Each of the angle is equal to 60°.
Based on angle measures,
- Acute triangle has all of the angles in the triangle being less than 90 degrees.
- Right angle triangle has one of the angles in the triangles being equal to 90 degrees.
- Obtuse triangle has one of the angles in the triangle being greater than 90 degrees but obviously less than 180 degrees.
So, a sketch of the triangle described would look like
So, we can see that the triangle has two sides equal, hence, the two base angles will be equal to.
If we call those base angles, x,
x + x + 45° = 180°
2x = 180° - 45°
2x = 135°
Divide both sides by 2
(2x/2) = (135°/2)
x = 67.5°
Three angles of the triangle are 45°, 67.5° and 67.5°
So, taking the statements one at a time now
The triangle might be an equilateral triangle.
This statement is False since it is evident that all the angles of this triangle are not equal to one another, hence, the sides cannot all be equal too.
The triangle must be a right triangle.
This statement too, is False. None of the angles of the triangle is equal to 90°.
The triangle might be an acute triangle.
This statement is True. All of the angles of the triangle are less than 90°.
Hope this Helps!!!
The radius of a cylindrical water tank is4.5ft , and its height is12ft . What is the volume of the tank? Use the value for , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer:
\(763 ft^3\) or 763 cubic feet.
Step-by-step explanation:
The tank is cylindrical and the volume of a cylinder is given as:
\(V = \pi r^2h\)
where r = radius and h = height
The radius, r, of the tank is 4.5 ft and the height, h, of the tank is 12 ft.
Therefore, the volume of the cylindrical water tank is:
\(V = \pi * 4.5^2 * 12\\V = 763.407 ft^3\)
Approximating to whole number, the volume of the tank is \(763 ft^3\) or 763 cubic feet.
A general manager is forming a committee of 6 people out of 10 total employees to review the company's hiring process. What is the probability that two specific employees will be chosen for the committee
The probability that two specific employees will be chosen for the committee of 6 out of 10 total employees is approximately 0.33 or 33%.
A general manager is forming a committee of 6 people out of 10 total employees to review the company's hiring process. What is the probability that two specific employees will be chosen for the committee
To find the probability that two specific employees will be chosen for the committee of 6 out of 10 total employees, we can use the combination formula:
n C r = n! / (r! * (n - r)!)
where n is the total number of employees (10), and r is the number of employees chosen for the committee (6).
The probability of selecting two specific employees out of a total of 10 employees for the committee is the number of ways to choose those two employees (2) from the total number of employees (10), multiplied by the number of ways to choose the remaining 4 employees from the remaining 8 employees:
P = (2 C 2) * (8 C 4) / (10 C 6)
P = (1) * (70) / (210)
P = 0.3333 or approximately 0.33
Therefore, the probability that two specific employees will be chosen for the committee of 6 out of 10 total employees is approximately 0.33 or 33%.
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Name three items that have
a capacity greater than 10 liters.
Answer:
A car fuel tank: Holds around 40 liters
A large cooler: can hold 20-60 liters
A water container: can hold more than 10 liters
Step-by-step explanation:
Answer: Large watering can, Backpacking backpack. Bucket
Step-by-step explanation:
THE FASTER THE BETTER PLEASE HURRY 10 POINTS
Answer:
48in^2
Step-by-step explanation:
The area of a triangle is calculated by the formula A= b*h1/2. Substitute b for 24, h for 4, and solve.
Race car driver traveled at an average speed of 120 miles per hour to finish a race in 2 hours. What is the length of the race?
Answer:
240
Step-by-step explanation:
If you are going 120 mph for 2 hours. You simply multiply the two values, giving 240 and the units for this is miles because in the multiplication, the units are m/h * h and this cancels out the hours and leaves just miles.
Answer:
240miles
Step-by-step explanation: 120 per hour X 2 hours = 240
Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.
Simplify the expression (7 + 5) + 4 • 13 – 2.
12+52-2=62 there is your answer its 62
Cynthia has measured the weight and miles per gallon of four different cars, listed the data in a table, and graphed the results on a scatterplot. She noticed the points fall closely on a line.
Weight, in hundreds of pounds Miles per Gallon (mpg)
5 32
10 27
12 25
15 22
Using the data values that Cynthia collected, select the correct slope and y-intercept.
Based on the data provided, we can calculate the slope and y-intercept of the line that fits the data points.
First, let's find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). We can use the first two data points for this calculation:
m = (27 - 32) / (10 - 5) = (-5) / 5 = -1
Now, let's find the y-intercept (b) using the formula: y = mx + b. We can use the first data point (5, 32) and the slope we found:
32 = -1 * 5 + b
32 = -5 + b
b = 37
Therefore, the correct slope is -1, and the y-intercept is 37.
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C(0,0) y r=5 ecuación general
The equation of a circle centered at the origin such that the length of its radius is 5 units will be x² + y² = 25
What is a circle?
Circle is a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
Given is a circle is centered at the origin, and the length of its radius is 5 units.
The equation of the circle whose center is at origin is given by -
x² + y² = r²
We have radius [r] = 5 units
Therefore, we can write the equation of the circle as -
x² + y² = 5 x 5
x² + y² = 25
Therefore, the equation of a circle centered at the origin such that the length of its radius is 5 units will be x² + y² = 25.
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[Question in English is as follows -
'C(0,0) and r=5 general equation]
If \angle DEF∠DEF and \angle XYZ∠XYZ are supplementary, what is the measurement of \angle XYZ∠XYZ?
If two angles are supplementary, it means that when they are added together, they equal 180 degrees. In this case, \angle DEF and \angle XYZ are supplementary, so we can set up an equation: \angle DEF + \angle XYZ = 180. We want to solve for the measurement of \angle XYZ, so we can isolate it on one side of the equation:
\angle XYZ = 180 - \angle DEF
This means that the measurement of \angle XYZ is equal to 180 degrees minus the measurement of \angle DEF. We don't know the measurement of \angle DEF, so we can't give a specific answer for \angle XYZ. But we do know that it will be the supplement of \angle DEF, which means it will add up to 180 degrees with \angle DEF.
If angles DEF and XYZ are supplementary, it means that their angle measurements add up to 180 degrees. To find the measurement of angle XYZ, you need to follow these steps:
1. Determine the measurement of angle DEF.
2. Use the supplementary angles property: Angle DEF + Angle XYZ = 180 degrees.
3. Solve for the measurement of angle XYZ by subtracting the measurement of angle DEF from 180 degrees.
Once you complete these steps, you will find the measurement of angle XYZ. Remember that supplementary angles always sum up to 180 degrees.
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Find the value of c: 4(c-6)/c-7 = 9/2
Answer:
c=15
8c-48+48=9c-63+48
8c=9c-15
8c-9c=9c-15-9c
\frac{-c}{-1}=\frac{-15}{-1}
c=15
a +3 1/4 = 5 2/9
What’s the answer
Answer:
a = 1.972
Step-by-step explanation:
a + 3 1/4 = 5 2/9
find a common denominator
a + 3 9/36 = 5 8/36
a = 5 8/36 - 3 9/36
a = 188/36 - 117/36
a = 71/36
a = 1.982
A+school+is+going+on+a+trip.+There+will+be+3+buses+to+take+students.+On+each+bus,+there+are+80+seats.+Teachers+will+sit+in+3+of+the+seats+on+each+bus.+How+many+seats+are+available+for+students+on+the+buses? A. 240 B. 231 C. 83 D. 77
The solution is Option B.
Number of seats for the students is given by the equation A = 231 seats
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of seats for the students be A
Now , the equation will be
The total number of buses = 3 buses
The total number of seats on each buses = 80 seats
So , the total number of seats = number of buses x number of seats on each buses
Substituting the values in the equation , we get
The total number of seats = 80 x 3
The total number of seats = 240 seats
Now , the teachers has 3 seats each on 3 buses
So , the number of seats for teachers = 3 x 3 = 9 seats
And , the remaining number of seats = total number of seats of students
The total number of seats for students A = total number of seats - number of seats for teachers
Substituting the values in the equation , we get
The total number of seats for students A = 240 - 9
The total number of seats for students A = 231 seats
Therefore , the value of A is 231 seats
Hence , the number of seats for students is 231 seats
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2. Calcula el área de un cuadrado, al que, si aumentamos la longitud de dos lados paralelos en 2 cm y disminuimos la longitud de los otros dos en 2cm, se forma un rectángulo de 96cm2 de área.
Answer:
the area is 6
Step-by-step explanation:
Please help serious answers only
the answer is 6
Step-by-step explanation:
3z is 3 multiplying by 3 thats 9 and w=3 so 3z minus w= 6
Answer:
\(3z - w = 3(3) - 3 = 9 - 3 = 6 \\ or \: \\ 3(3 - 1) = 3(2) = 6\)
How many times larger than 40 is 400?
Cara earns $3 per hour babysitting. If h represents
the number of hours Cara worked babysitting last
week, which of the following represents the number
of dollars she earned last week?
Answer:
R = 3h (Where R = revenue)
Step-by-step explanation:
Let's say Cara worked for 3 hours.
She earns $3 the first hour, then another $3 for the second, and finally $3 for the third.
In total, she earned $3 + $3 + $3 = $3 x 3 = $9.
Let's say Cara worked for 5 hours.
She earns $3 the first hour, $3 the second, $3 the third, $3 the fourth, and finally, $3 the fifth.
In total, she earned $3 + $3 + $3 + $3 + $3 = $3 x 5 = $15.
As you can see by these examples, the amount of money Cara earns for babysitting is directly proportional to the amount of hours she worked.
Since she earns $3 for every hour she works, we can summarize the relationship between Cara's revenue and Cara's work hours per week to be: R = 3 * h, where R is Cara's revenue, and h is Cara's work hours.
We usually don't write the multiplication sign between a constant and a parameter, therefore we'll write the relationship as R = 3h.
if mating is at random and red-green colorblindness does not affect survival or fertility, what should be the proportion of color-blind women in a population when they are at hwe in which 8% of the men are color-blind? colorblind women? (you may also answer in %) show your work.
The proportion of color-blind women would be 4% as each individual has two alleles.
In a population where mating is random and red-green colorblindness does not affect survival or fertility, the proportion of color-blind women can be calculated based on the Hardy-Weinberg equilibrium (HWE) equation.
If 8% of the men are color-blind, the proportion of color-blind women in the population would be 1.6% (or 0.016).
According to the Hardy-Weinberg equilibrium, in a population with random mating, the frequencies of alleles and genotypes remain constant from generation to generation in the absence of evolutionary forces.
The equation for the HWE is p² + 2pq + q² = 1, where p represents the frequency of the dominant allele (non-colorblind) and q represents the frequency of the recessive allele (colorblind).
In this case, if 8% of the men are color-blind, it means q² = 0.08. Solving for q, we take the square root of 0.08, which is approximately 0.2828.
Since q represents the frequency of colorblind individuals (men and women combined), and women have two alleles, the frequency of color-blind women (q²) would be (0.2828)² = 0.08 (or 8%).
Converting this to proportion, the proportion of color-blind women would be 0.08/2 = 0.04 (or 4%), as each individual has two alleles.
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Need 6 and 7 done please and thank you
Answer:
black
black
Step-by-step explanation:
Damian estimated that Lily would play puzzles
for 20 minutes, but she actually played for 38
minutes.
What was his percent error?
Damian's percent error for the estimate of the time that Lily would play is of 47.37%.
How to obtain the percent error?The percent error is obtained applying the proportions in the context of the problem.
A proportion is applied as the percent error is given by the difference between the estimate and the actual value, divided by the actual value, and multiplied by 100%.
The parameters for this problem are given as follows:
Estimate of 20 minutes.Actual value of 38 minutes.Hence the percent error is given as follows:
P = (38 - 20)/38 x 100%
P = 47.37%.
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Simplify the expression: y2 * y2
Answer:
\(y^4\)
Step-by-step explanation:
\(y^2*y^2\)
Let's multiply the 2 by the other 2.
\(2*2=4\)
Let's combine it all together
\(2*2\\y\)
Since we already know that \(2*2\) is \(4\) , we add it to the y.
\(y^4\)
Hope this helps!
I am so sorry if you keep seeing me ask for help
Answer:
67°-------------------
Given three interior angle measures of a triangle:
38°, 75° and xUse the triangle sum theorem to find the missing angle:
38 + 75 + x = 180x + 113 = 180x = 180 - 113x = 67So the missing angle is 67°.
GIVING 40 POINTS
Given the sequence of numbers, a4=2, a5=4, a6=6, a7=8, and a8=10.
Which recursive rule can be used to find the nth term of the sequence, an?
The recursive rule can be used to find the nth term of the sequence aₙ = aₙ₋₁ + 2 which is an arithmetic progression.
What is arithmetic progression ?
Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence
From the given sequence we see that:
Common difference is 2
Find the first term:
a₁ + (n-1)d = aₙ
a₁ + 3*2 = a₄
a₁ + 6 = 2
a₁ = -4
The recursive formula for this sequence is:
a₁ = -4
aₙ = aₙ₋₁ + 2
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