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m_a_m_a [10]
2 years ago
14

The area of a rectangular gymnasium is (5x+5x) square feet. If it is 5x feet wide, what is the length, in feet?

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
5 0

Answer:

Step-by-step explanation:

Area = L x W      gym area is (5x + 5x) ft²      if   W = 5x      Find the L

Area = L x W       divide both sides by W

Area/W  = (L x W) / W

Area/W  =  L  =  Area/W

    L = Area/W

       =  (5x + 5x) / (5x)

       =  5x( 1 + 1) / 5x

       =  5x(2) / 5x                      the 5x's cancel each other  5x/5x = 1

       =   2 ft          I got 2.  I suspect the 12 was a typo and should have been 2

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One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t
kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0
2 years ago
Four less than twice the square of x is 124. Which equation can be used to find the value of x?
tester [92]
2x^2-4=124 is the correct answer.
5 0
3 years ago
Please help no links
Nina [5.8K]

Answer:

x=5 y=-6

Step-by-step explanation:

3x+y=9 ------eqn1

y=4-2x -------eqn2

using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

y=-6

8 0
3 years ago
10. Alice Nako's monthly credit card statement has a previous balance of
olga2289 [7]
307.85
-40
-9.50
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3 0
3 years ago
BRAINLIEST!!PLEASE HELP ME!!
kotykmax [81]
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8 0
3 years ago
Read 2 more answers
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