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3 years ago

What is the value of the expression 3z-3 when z=7

Mathematics

1 answer:

Arlecino [84]3 years ago

8 0

3z-3 when z is 7
3(7)-3
21-3
18
~~~~~~~~
Hope this helps

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sergiy2304 [10]

On a what? graph? line?

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3 years ago

The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is $1.979\ in$

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

$V=20*10*15=3,000\ in^{3}$

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

$V=20*10*(15-2)=2,600\ in^{3}$

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1\ in$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

using proportion

Find how many inches correspond a volume of $4.2\ in^{3}$

$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0

2 years ago

What’s the area of the triangle??

viktelen [127]

Note that one side is 20 ft, and the other is 16.

This means that the side that is part of the triangle is 4 ft.

The measurement is still the same for the triangle's height.

Find the area of the rectangle:
24 x 16 = 384
Find the area of the triangle:
4 x 24 = 96

Add the two numbers together:

384 + 96 = 480

You're answer is (C)

hope this helps

5 0

3 years ago

Read 2 more answers

Insert parenthesis in the following problem to make it true.

suter [353]

Answer:

(7-2) x 2 -1 = 9

Step-by-step explanation:

(7-2) = 5 x 2 =10 -1 = 9

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2 years ago

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