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meriva
3 years ago
9

Solve by elimination. 2x + 8y = 60 5x + 4y = –10

Mathematics
1 answer:
puteri [66]3 years ago
8 0

Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

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3 0
3 years ago
At a store, 4 shirts cost $25 and 6 shirts cost $37.50.
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Yes, each shirt is $6.25.
5 0
3 years ago
24. Rectangle A is 16 feet wide and is 8 feet longer than Rectangle B which is 14 feet wide.
Galina-37 [17]

Answer:

The Area of rectangle A is  576 feet²  .

Step-by-step explanation:

Given as :

The width of rectangle A = 16 feet

The Length of rectangle A = 8 feet + The length of rectangle B

The width of rectangle B = 14 feet

Let The length of rectangle B = L feet

So, The Length of rectangle A = 8 feet + L feet

The perimeter of rectangle A + The perimeter of rectangle B = 156 feet

So, 2 × ( Length A + width A ) +  2 × ( Length B + width B ) = 156 feet

Or,  2 × ( 8 + L + 16 ) +  2 × ( L + 14 ) = 156 feet

Or,  2 ×( 24 + L ) +  2 × ( L + 14 ) = 156 feet

Or, 48 + 2 L + 2 L + 28 = 156

Or, 76 L + 4 L = 156

So, 4 L = 156 - 76

Or, 4 L = 80

∴  L = \frac{80}{4} = 20 feet

So , The Length of rectangle A = 8 feet + 28 feet = 36 feet

And The width of rectangle A = 16 feet

So, Area of rectangle A = Length of rectangle A × width of rectangle A

I.e  Area of rectangle A = 36 × 16 = 576 feet²

Hence The Area of rectangle A is  576 feet²  . Answer

4 0
3 years ago
Rewrite 9(10 x) in distributive property
Ierofanga [76]
9(10+x)

To apply the distributive property, we need to multiply the number out of the parenthesis by each number inside. 

9*10 = 90
9*x = 9x

9x + 90

Final answer:  9x + 90

3 0
4 years ago
Read 2 more answers
What is the trigonometric ratio for cos N?
bagirrra123 [75]
If we look at our SOHCAHTOA rule:
cos(x) = adj/hyp

The adjacent side of N is 36, and the hypotenuse is 39.

Therefore:
cos(N) = 36 / 39
5 0
4 years ago
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