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jek_recluse [69]
3 years ago
13

At Winfield University, the student population is growing quickly. The university has two existing square student parking lots o

n Green Street and Vine Street. As the figure shows, Green Street and Vine Street are perpendicular to each other, and both are intersected by Prince Street.
The area of the parking lot on Green Street is 900 square meters.
The area of the parking lot on Vine Street is 1800 square meters

To accommodate the growing student population, the university has decided to build an additional square parking lot on Prince Street. Each parking space requires 6 square meters.






























How many new parking spaces will the new parking lot on Prince Street create?



A 30 parking spaces


B 51 parking spaces


C 450 parking spaces


D 150 parking spaces
Mathematics
1 answer:
Mashutka [201]3 years ago
7 0
The answer is D because it is
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By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50
olchik [2.2K]
Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half,  how much is 50% of b? well (50/100)*b, or 0.5b

\bf \begin{cases}
a\cdot b\implies  ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%
5 0
4 years ago
Kyle is buying a $220 bicycle. If the bicycle is on sale for 35% off, how much will he save? ​
Mrac [35]

Answer:

D

Step-by-step explanation:

Discount = 35% of 220

              = \dfrac{35}{100}*220\\\\= 7 * 11

              = $ 77

Amount saved =$ 77

8 0
2 years ago
The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?
irina [24]
1st number = n
2nd number = n+1
3rd number = n+2

sum of the squares of 3 consecutive numbers is 116

n² + (n+1)² + (n+2)² = 116
n² + (n+1)(n+1) + (n+2)(n+2) = 116
n² + [n(n+1)+1(n+1)] + [n(n+2)+2(n+2)] = 116
n² + n² + n + n + 1 + n² + 2n + 2n + 4 = 116
n² + n² + n² + n + n + 2n + 2n + 1 + 4 = 116
3n² + 6n + 5 = 116  Last option.

5 0
3 years ago
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has a
Tanya [424]

Answer:

B) 4

Step-by-step explanation:

There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6

The length of the wall on the blue print can be calculated as:

20 square feet ÷ 5

= 4 feet

8 0
3 years ago
Help me plz with my hw
inna [77]
Circumference is found with the formula

c = pi × d

d is diameter and we will use 3.14 for pi.

The diameter is the measure across the center of the circle. In the first problem, you are given the radius, so we have to multiply by 2 to get the diameter. Then we can use the formula.

12.4 in × 2 = 24.8 in (that's the diameter)

c = pi × D
c = 3.14 × 24.8
c = 77.872 inches

circumference is 77.872 inches.

Try the other problems on your own. They are just like this one. Just make sure they are giving you the diameter and not the radius. Post if you have problems.
6 0
3 years ago
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