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Romashka [77]
3 years ago
7

The model represents an equation. What value of x makes the equation true?

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0

Let's build the equation counting how many x's and 1's are there on each side.

On the left hand side we have 5x's and 8 1's, for a total of 5x+8

On the left hand side we have 3x's and 10 1's, for a total of 3x+10

So, the equation we want to solve is

5x+8 = 3x+10

Subtract 3x from both sides:

2x+8 = 10

Subtract 8 from both sides:

2x=2

Divide both sides by 2:

x=1

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dsp73
Hey there!

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$5.37

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8 0
3 years ago
Two Questions please help and explain
ozzi
Question #2
Erica will have to work for 14 hours in order to buy her sneakers.
How to solve:
You subtract $31 from $150 which equals to $119
You multiply 8.50 (which is the amount of money she gets paid every hour) by the answers they gave you.
8.50 multiplied by 14 is 199
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Your answer is D) 14
4 0
3 years ago
Read 2 more answers
Determine if the two figures are congruent and explain your answer using transformations.
IRISSAK [1]

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

BC = FG = √5,

CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

7 0
2 years ago
2x-5y=3 4y-x=-3 solve by elimination
loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 .............................................  equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient  of y  which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 .............................................  equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0
3 years ago
The box plot shows the science test scores for Mrs. Everly's students. Describe the shape of the distribution.
Stels [109]
The shape of the distribution is rectangular, also Uniform and Symmetrical 
8 0
3 years ago
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