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miss Akunina [59]
2 years ago
14

5 Eric is building a fence around the perimeter of a garden in his backyard. The yard is shaped like a rectangle with a width of

15 yards less than the length. He calculates that he needs 70 feet of fencing, Which equation accurately models this problem, with L as the length?​
Mathematics
1 answer:
Elena L [17]2 years ago
5 0
L=25
If the length is 25 yards then you use 50 yards of fencing for the length, this leaves ten yards for each width of fencing each.
10 yards is 15 yards less than 25 yards showing that this is the correct answer.
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The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
3 years ago
What’s the measure of X in this short answers are fine
miv72 [106K]

Answer:

28 = x

Step-by-step explanation:

62 =  angle BAC  since they are vertical angles

angle ABC is a right angle since KL is perpendicular to FG

Adding the angles in triangle ABC

BAC + ABC + BCA = 180

62 + 90 + BCA = 180

152 + BCA = 180

BCA = 180-152

BCA = 28

BCA = x since they are vertical angles

28 = x

3 0
3 years ago
A house was bought for $50000 and was sold 15 years later for $95000. find the effective yield.
11Alexandr11 [23.1K]

Answer:

If we divide that by 15 years, we get an annual yield of

$3,000 per year.

Step-by-step explanation:

welcome :)

8 0
2 years ago
Quincy claims that if 80 coats are sold, the outside temperature is likely to be about 42°
nikklg [1K]

No. Quincy should have used the trend line to find the corresponding x value when y=80.


6 0
3 years ago
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Explain how the steps of the distributive property can be used to solve the equation 3(x + 4) =36 ?
Oksanka [162]

Step-by-step explanation:

First, apply the distributive property to the left side of the equation. Multiply each of the two numbers inside the parentheses by 12 and then combine those products. Next, solve as you would solve any two-step equation. To isolate \begin{align*}12x\end{align*} on the left side of the equation, add 24 from both sides.

3 0
2 years ago
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