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yaroslaw [1]
2 years ago
11

Maureen budgets $1420 each month for fixed expenses. what percent of her net monthly income is that if she nets $2200 semimonthl

y? Show your work.
A. 24%
B. 28%
C. 32 %
D. 38 %
Mathematics
1 answer:
Wittaler [7]2 years ago
5 0
<span>so none of those would be correct, 1420 is more than half of 2200, so that means the answer has to be over 50%
The answer should be 64% because of 1420 / 2200 = .64</span>
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( + 1 ) ( + 9 )

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What is the image of the point (2, 8) after a rotation of 270 counterclockwise about the origin ?
jok3333 [9.3K]

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(8,-2)

Step-by-step explanation:

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Find the volume of a regular hexahedron if one of the diagonals of its faces is 8 root 2 inches.
Naily [24]
The answer is 114sqrt{6} in³

A regular hexahedron is actually a cube. 

Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²

Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²

D² = f² + a²
f² = 2a²

D² = 2a² + a² = 3a²
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Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3

V = a³ = (D/√3)³

We have:
D = 8√2 in

V= (\frac{D}{ \sqrt{3} } )^{3} =( \frac{8 \sqrt{2} }{ \sqrt{3} } )^{3}=( \frac{8 \sqrt{2} * \sqrt{3} }{ \sqrt{3}* \sqrt{3}} )^{3} =( \frac{8 \sqrt{2*3} }{ \sqrt{3*3}} )^{3} =( \frac{8 \sqrt{6} }{ \sqrt{3^{2} }} )^{3} =( \frac{8 \sqrt{6} }{ 3} )^{3} = \\ \\ = \frac{ 8^{3} *( \sqrt{6} )^{3}}{3^{3}} = \frac{512* \sqrt{6 ^{2} }* \sqrt{6} }{27} = \frac{512*6* \sqrt{6} }{27} = 114sqrt{6}
8 0
3 years ago
A rectangular room is 3 3 times as long as it is wide, and its perimeter is 64 64 meters. find the dimension of the room.
lora16 [44]
Perimeter = 2L + 2W    (where L = length and W = width)

And we are given that L = 3W

So substituting for L, we have the equation:-

2(3W) + 2W = 64

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8W = 64 

W = 8  meters

So the length = 3*8  = 24 meters

Answer:- Length = 24 m and Width = 8 m.



4 0
3 years ago
A school is holding a talent show. A group of six friends entered the talent show and won the first place prize of $45, which th
Ghella [55]

Answer:

<em>In the second group the individual members received a larger fraction of the prize money</em>

Step-by-step explanation:

<u>Division by Sharing</u>

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money

4 0
3 years ago
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