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Anastasy [175]
3 years ago
11

PLEASE HELP!

Mathematics
1 answer:
Luden [163]3 years ago
5 0
To find the approximate volume that was released you will find the volume of the sphere before and after the water was released and subtract them.  Use the formula for finding the volume of a sphere to do this.

Before:  

V=4/3 x pi x r^3
    4/3 x 3.14 x 4.5^3
V = 381.51 cubic inches

After:

V=4/3 x pi x r^3
    4/3 x 3.14 x 3.6^3
V = 195.33 cubic inches

381.51 - 195.33 = 186.18 cubic inches


The answer is choice B.

You might be interested in
in a choir the ratio of men to woman is 4:7. 25% of the men prefer classical songs, and 80% of the women prefer classical songs.
Paraphin [41]

Answer:

60%

Step-by-step explanation:

percentage of men in the choir = (4/11) x 100 = 36.4%

percentage of women in the choir = (7/11) x 100 = 63.6%

Percentage of men in the choir that prefer classical songs =  36.4 x0.25 = 9.1%

Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%

percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%

4 0
3 years ago
The equal symbol with the wave meat "is Congeruent to"
Strike441 [17]

Answer:

angle 5 is 61°

angle 7 is 61°

Step-by-step explanation:

1. angle 7 + angle 8 = 90° Because they are complementary angles

2. Because of point 1 above, angle 5 + angle 6 = 90°

3. since given angle 6 = 29°

so, angle 5 = 90° - 29° = 61°

4. since given angle 5 = angle 8

so, angle 8 = 61°

5. from point 1 above,

angle 7 + 61° = 90°

so angle 7 = 29°

6 0
3 years ago
Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20
zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

x+8y=-2\\x=-2-8y

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

x-3y=20\\(-2-8y)-3y=20

We can then simplify:

-2-8y-3y=20 Given equation

-2-11y=20 Combine y terms

-11y=22 Add 2

y=-2 Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

x+8y=-2

x+8(-2)=-2 Substitute for y

x-16=-2 Distribute 8

x=14 Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

4 0
3 years ago
Are rational numbers equal to integers
Alinara [238K]

Yes rational numbers are equal to integers.

4 0
3 years ago
Read 2 more answers
A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 p
Liula [17]

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better.  At 6 visits, there's the same price.  For more than 6 visits, the member cost is better.

7 0
3 years ago
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