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Amanda [17]
2 years ago
15

this is a question on a review assignment that i’m stuck on , my summer school teacher said i could get help if i needed. any he

lp would be greatly appreciated

Mathematics
1 answer:
kotykmax [81]2 years ago
6 0

Answer:

volume = 3549.203

Step-by-step explanation:

you need to subtract the volume of the cylinder from the volume of the box

cylinder:

vol=\pi r^2h\\V=\pi (5)^2(20)\\V=\pi (25)(20)\\V=500\pi

box:

vol=(length)(width)(height)\\V=(20)(16)(16)\\V=5120

subtract:

5120-500\pi =3549.203

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6x - 2y - 3z = 4<br><br> 3x + 2y + 2z = 7<br><br> 9x - 3y + 3z = -9
Anna71 [15]

Answer:

X= 1, Y= 4, Z= -2

Step-by-step explanation:

(3(6x-2y-3z=4)) + (-2(9x-3y+3z=-9))

Z=-2

Substitute in Z

(6x-2y+6=4) + (3x+2y-4z=7)

X=1

Substitute in Z and X

3+2y-4=7

Y=4

6 0
3 years ago
Bruce has a bottle that contains 60% lemon juice and the rest water. The bottle has 1 liter of water.
Cloud [144]

<span>part A:
Let 
t =  total the liquid in the bottle including lemon juice and water
so t =  lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1

part B:
from part A, you have equation t = 0.6t +1
solve for t
 t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5

2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
8 0
4 years ago
Read 2 more answers
9. Dagne measures and finds that she
Naddik [55]

Answer; 47.27 Inches

Let the height of Dagne be x.

Now we are told that she can do a vertical jump that is 27.5%  of her height. This is represented as 0.275x.

Now we are told the height she can jump is 13.2. Thus;

0.275x = 13.2

x = 13.2/0.275

x = 47.27 inches

7 0
3 years ago
The ratio of John's money to Jimmy's money is 5:8. Jimmy spent 1/4
erma4kov [3.2K]

Answer:

a. $3600

b. 6:5

Step-by-step explanation:

Put the question into an equation:

8x - 1/4 x 8x = 5x + 450

(simplify before solving) 6x = 5x + 450

(solve) 6x-5x = 450

x = 450

This means that Jimmy had 8 x 450 $ to start with = 3600

you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!

Now ratio of new amounts:

Jimmy now has: $2700

John still has: $2250

so ratio is 2700:2250

simplify to 6:5

Hope this helps

Please mark brainiest

3 0
4 years ago
How many types of symmetry are there
Alexxandr [17]
Three. Reflection, Rotation, and Point
6 0
3 years ago
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