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olganol [36]
2 years ago
8

The rectangle shown has a perimeter of 86 cm and the given area. Its length is 3 more than four times its width. Write and solve

a system of equations to find the dimensions of the rectangle.
Mathematics
1 answer:
Naddika [18.5K]2 years ago
3 0

Answer:

55x

Step-by-step explanation:

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UW= 2 and UX=y. Write an expression for WX
Eddi Din [679]
Divide each term by U and simplify. X=y/U and W=2/U. Next, solve the equation for y. Simplify the left side then cancel the common factor of U. 1/1*y/1=y

W=2/U. Multiply 1/1*y/1=y/1 so, y/1=y and W=2/U. Next, divide y/y to get 1 now y=y, still W=2/U. Now, move all terms containing y to the left side.  Since, Y contains the variable to solve for, move it to the left side of the equation by subtracting y from both sides. Now, y-y=0 still W=2/U.  Next, subtract y from y to get zero and still W=2/U.  Subtract y from y to get zero or 0=0 and W=2/U is your expression since 0=0.


Next: UW=m and WX=y+14  write expression for UX

First, divide each term by W and simplify. U=m/W, WX=y+14. Next, solve the equation for Y. Move y from the right side of the equation to the left side. Still, U=m/W and y=-14+WX.  We must reorder -14 and WX. U=m/w and y=WX-14.
Replace the variable U with m/W in the expression to (m/W)X. Next, simplify (m/W)X. Now, write X and a fraction with denominator 1. Looks like this
fractions are side by side m/W X/1 . Multiply, m/W and X/1 to get mX/W.
mX/W is your final expression for UW=m and WX=y+14 expression for UX.
8 0
3 years ago
You are a real estate agent with ABC Real Estate company. You help sell a home for $155,000. The total commission is 6.5%. Your
gtnhenbr [62]

Answer:

$3,929.25.

Step-by-step explanation:

First, calculate the total commission.  That's found by multiplying the selling price ($155,000) by 0.065.  The result:  The total commission is $10,075.

Your company receives 60% of that.  So we multiply $10,075 by 0.60, obtaining $6,045.

Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:

0.65($6,045) = $3,929.25.

Your personal share of the commission is thus $3,929.25.

4 0
3 years ago
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing tha
dmitriy555 [2]

Answer:

The tabulated value is less than the calculated value, therefore we accept the null hypothesis and It show that there is a difference in the mean overall distance of brands.

Step-by-step explanation:

3 0
3 years ago
One country has 12 stone bridges and 20 steel bridges. What is the ratio of ? A. Stone bridges to steel bridges. B. Steel bridge
Gemiola [76]

Answer:

A. Stone bridges to steel bridges=

12 : 20

6 : 10

3 : 5

answer = 3 : 5

B. Steel bridges to Stone bridges

20 : 12

10 : 6

5 : 3

answer = 5 : 3

Total bridges = 20+12=32

C. Total bridges to steel bridges

32 : 20

16 : 10

8 : 5

answer = 8 : 5

3 0
3 years ago
Apply the distributive property to create an equivalent expression. 6(5x minus 3)
SOVA2 [1]

Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

To distribute, multiply the outside number by everything inside the parentheses.

6 x 5x = 30x

6 x -3 = -18

30x - 18

I hope this helps!

3 0
3 years ago
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