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Scilla [17]
3 years ago
10

A company will lease office space in two buildings. The annual cost of $21.75 per square foot in the first building and cost $17

per square foot in the second building. The company has $86,000 budgeted for rent.
a. Write an equation that models the possible amounts of space rented in the buildings.

b. How many square feet of space can be rented in the first building if 2500 square feet are rented in the second building?

c. If the company wants to rent equal amounts of space in the buildings, what is the total number of square feet that can be rented?
Mathematics
1 answer:
lbvjy [14]3 years ago
4 0
C...................
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From the square with the rib is the cylinder wrapper built. Express the volume of this cylinder as a function of the rib a
Alisiya [41]

Answer:

Look I’m not an expert in math but here it is: 7.4

Step-by-step explanation:

Or in fraction form 37/500

7 0
3 years ago
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
The exact value of 5pi/12 is?
stealth61 [152]

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4 0
3 years ago
Read 2 more answers
I dont understand this at all. I really need help! ​
Westkost [7]

Hello!

\large\boxed{x^{4}}

Recall that:

\sqrt[z]{x^{y} } is equal to x^{\frac{y}{z} }.  Therefore:

\sqrt[3]{x^{2} } = x^{\frac{2}{3} }

There is also an exponent of '6' outside. According to exponential properties, when an exponent is within an exponent, you multiply them together. Therefore:

(x^{\frac{2}{3} })^{6}  = x^{\frac{2}{3}* 6 }  = x^{\frac{12}{3} } = x^{4}

3 0
3 years ago
What is the quotient?<br><br> <img src="https://tex.z-dn.net/?f=X-3%5Csqrt%7Bx%7D%204X%5E2%2B3X%2B2" id="TexFormula1" title="X-3
romanna [79]
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7 0
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