Explain your answer please.... I would like to know how to solve it myselfConsider the following set of equations:

Equation M: y = x + 4
Equation P: y = 3x + 6

Which of the following is a step that can be used to find the solution to the set of equations?
x = 3x + 6 x + 4 = 3x + 6 x + 6 = 3x + 4 x = 3x

Answers

Answer 1

Answer: The correct answer is B) x + 4 = 3x + 6

Since both equations start with y = something, we can set the two equations equal to each other and solve.

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It takes 12 hours to clean the windows of a certain office building. During the first day of cleaning, the workers were able to clean for 9 hours. If the variable t stands for the amount of time the workers have left to clean the windows, which of the following choices is the most reasonable value for t?A.
3 hours

B.
1 hour

C.
30 hours

D.
20 hours

Answers

the most reasonable value for t would be A. 3 hours.

Since it would take 12 hours to clean the place and the workers already cleaned for 9 hours, there is still 3 hours left to completely clean the office building. (12 - 9 = 3)

If you would like to know which of the following choices is the most reasonable value for t, you can calculate this using the following step:

t ... the amount of time the workers have left to clean the windows
t = 12 hours - 9 hours = 12 - 9 = 3 hours

The correct result would be A. 3 hours.

HELP PLEASE!!The cross sections shown above are from a rectangular prism.

Cross section A is from a plane that is parallel to the base cutting through the prism. Cross section A has an area of 90 units squared.

Cross section B is from a plane that is perpendicular to the base and parallel to the sides of the prism cutting through the prism. Cross section B has an area of 50 units squared.

Cross section C is from a plane that is perpendicular to the base and parallel to the front of the prism cutting through the prism. Cross section C has an area of 45 units squared.

The prism in which the cross sections were taken has a length of
units, width of
units, and a height of
units.

Answers

The rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

What is the area of a rectangle?

A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and congruent (equal in length). The area of a rectangle is defined as the amount of space that is enclosed by its two-dimensional shape, and it can be calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:

Based on the given information, we can determine the dimensions of the rectangular prism as follows:

Cross section A has an area of 90 square units, which is equal to the area of the base of the prism. Since the base of the prism is a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

90 = length x width

Cross section B has an area of 50 square units, which is equal to the area of one of the sides of the prism. Since the sides of the prism are also rectangles, we can use the formula for the area of a rectangle to find its dimensions:

50 = height x width

Cross section C has an area of 45 square units, which is equal to the area of the front of the prism. Since the front of the prism is also a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

45 = length x height

We now have three equations with three unknowns, which we can solve for to find the dimensions of the prism:

90 = length x width

50 = height x width

45 = length x height

Solving for width in the first equation gives us:

width = 90 / length

Substituting this into the second equation gives us:

50 = height x (90 / length)

Solving for height gives us:

height = 50 x (length / 90) = (5/9) length

Substituting this into the third equation gives us:

45 = length x (5/9) length = (5/9) length²

Solving for length gives us:

length² = (9/5) x 45 = 81

length = √(81) = 9

Therefore, the rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

To learn more about the area of a rectangle visit:

brainly.com/question/25292087

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Find the area.
1.
8
20.84
19

Answers

Answer:

Step-by-step explanation:

Calculator :)

How do you factorise 14x -21xy

Answers

Simplifying 14x + -21xy

Factor out the Greatest Common Factor (GCF), '7x'. 7x(2 + -3y)

Final result:
7x(2 + -3y)

that is the answer on how to do it

You need to find the common number/letter in order to factorise and it should be like this:
x(14-21y)
Hope it helped...

Find the rate of change and the initial value for both group n individual session

Answers

$for\ the\ group:\nthe\ rate\ of\ change=29.50\ [\$]\n\n39.50+29.50=69.00\n69.00+29.50=98.50\n98.50+29.50=128.00\n128.00+29,50=157.50\n\nthe\ inital\ value=39.50-29.50=10.00\ [\$]\n---------------------\nfor\ the\ individual:\nthe\ rate\ of\ change=19.50\ [\$] \n\n29.50+19.50=49.00\n49.00+19.50=68.50\n68.50+19.50=88.00\n88.00+19,50=107.50\n\nthe\ inital\ value=29.50-19.50=10.00\ [\$]$

All you have to do to solve this is subtract the first value in a row from the second value in that row, for example $69 - $39.5. That's the rate of change. If you want to check your work, you could subtract the second from the third or the third from the fourth etc. to see if they match. To find the initial value, just subtract the rate of change from the first-hour value.

the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each type of juice drink did they sell?

Answers

s+g=316 "s"=strawberry "g"=grape
g=52+s

plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132

find "g"
g=52+132
g=184

132 strawberry drinks and 284 grape drinks.

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Set up the following addition using a vertical format and find the sum of the given polynomials. a - b + c, b - c + d, and c - d + e A a + c + e B a + 2b + 3c + 2d + e C b + d + e D a - c - e

1. Evaluate (101.5)? - (100.5)

Richard already has 38 flowers in his garden and he can also grow 20 flowers with every seed packet he uses how many seed packets does Richard need to have a total of 218 flowers in his garden

Vincent has already finished 5 oil changes today, and can complete more at a rate of 1 oil change per hour. Warren just came on shift, and can finish 2 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How long will that take? How many oil changes will Vincent and Warren each have done?