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Vinil7 [7]
3 years ago
14

you are putting grass down in your backyard. the total area is 51 feet squared. the length of your yard is 10.2 feet. how wide i

s your backyard
Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

5 feet wide because a=l*w l being length and w being width.

we have 2 parts of the equation: 51=10.2*w so we divide both sides by 10.2 giving us 5=w  

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If 10 pencils and 7 erasers cost $4.23 and 3 pencils and 1 eraser cost $0.95, what is the cost of 2 erasers?
QveST [7]

Answer: $0.58

<u>Step-by-step explanation:</u>

Let x represent pencil and y represent eraser

10x + 7y = 4.23   →   1(10x + 7y = 4.23)   →   10x + 7y =  4.23

3x  + y  = 0.95   →  -3(3x  + y  = 0.95)   →   <u>-21x - 7y</u> =<u> -6.65 </u>

                                                                    -11x         = -2.42

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                                                                         x        = 0.22  

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8 0
3 years ago
Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
bekas [8.4K]

The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>

Suppose that there is a line segment \overline{AB}such that a point P(x,y) lying on that line segment \overline{AB} divides the line segment  \overline{AB} in m:n, then, the coordinates of the point P is given by:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)

where we have:

  • the coordinate of A is (x_1, y_1)
  • and the coordinate of B is (x_2, y_2)

We're given that:

  • Coordinate of A is (x_1, y_1) = (-7,2)
  • Coordinate of B is (x_2, y_2) = (9.-6)
  • The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)

Let the coordinate of P be (x,y), then we get the values of x and y as:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

Learn more about a point dividing a line segment in a ratio here:

brainly.com/question/14186383

#SPJ1

4 0
2 years ago
connor scored 14370 points in a game amy scored 1089 fewer points than connor. how many points did amy score
Dahasolnce [82]
So first you would have to do is read the problem carefully and understand what it's asking you and what I mean is look for some clues that would help you to solve the problem. For instance, the word fewer is a good word to help us because the word fewer means less or taking away and so what that tells us is, what we have to do is subtract 1089 points from 14370 points they want to know how many points did Amy scored and so in order to do that we need to subtract and so our final answer would be 13281 as our final answer and so thank you for this question and keep in mind that you always have to read the question carefully in order to understand. So Amy scored 13281 in the game. Have a blessed day.
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