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Lisa [10]
3 years ago
15

A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a ma

ximum of 3960 cubic inches of water, how much glass was used to construct the tank?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

582.74 square inches of glass is required to construct the tank

Step-by-step explanation:

Base dimensions= 22 x 12 inches

Volume of the fish tank = 3960 cubic inches

Volume = l x w x h

3960 = 22 x 12 x h

h = 3960 /(22 x 12)

h = 3960/462

h = 8.57 inches

The glass used = lateral surface area of the rectangular prism

= 2(lh + wl)

= 2(188.57 + 102.8)

= 2(291.37)

= 582.74 square inches

582.74 square inches of glass is required to construct the tank

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A chemist needs 2,220 ml of potassium chloride to complete an experiment. She has 2 L. How many more liters does she need?
DerKrebs [107]

Answer:

  0.220 L

Step-by-step explanation:

One liter is 1000 mL, so 2,220 mL is 2.220 L. Subtracting the 2 L on hand gives the additional amount required:

  2.220 L - 2 L = 0.220 L

_____

The nice thing about metric units is that conversion factors are often powers of 10, so only movement of the decimal point is required. It can be worthwhile to become familiar with the SI prefixes.

7 0
3 years ago
If EF=2x-12, FG= 3x-15, and EG=23, find values of x, EF, and FG
velikii [3]

we have that


*-------------------------*--------------------------------*

E                            F                                     G


EF=2x-12

FG= 3x-15

EG=23


we know that


EF + FG = EG


so

[2x - 12] + [3x - 15] = 23 simplify

5x - 27 = 23 add 27 to both sides

5x = 50 divide both sides by 5

x = 10

EF=2x-12-------> EF=2*10-12-------> EF=8

FG= 3x-15------> FG=3*10-15------> FG=15



therefore


the answer part a) is

the value of x is 10


the answer part b) is

the value of EF is 8


the answer part c) is

the value of FG is 15

6 0
3 years ago
9 inches of ribbon are needed for wrapping each present. How many presents can be wrapped with 6 yards of ribbon?
netineya [11]

Answer:

a total of 24 presents can be wrapped

Step-by-step explanation:

6 x 3 = 18 feet of ribbon

18 x 12 = 216 inches of ribbon

216/9 = 24 presents can be wrapped

3 0
3 years ago
3x + y = -2<br> x = 2 - y​
andrezito [222]

Answer:

y = 4 \\ x =  - 2

Step-by-step explanation:

3(2 - y) + y =  - 2 \\ 6 - 2y =  - 2 \\ 2y = 8 \\ y = 4 \\  \\ x = 2 - 4 \\ x =  - 2

I hope that uesful for u :)

5 0
2 years ago
16. Which of the following are equivalent to(x) 16xA) g(r) 8.21B) g(c) 4096.16-3g (x) -4.4xD) g(x) 0.0625-16'+1E) g(x) 32.16E) g
swat32
F(x) = 16ˣ

A. g(x) = 8(2ˣ)
    g(x) = (2³)(2ˣ)
    g(x) = 2ˣ⁺³
The answer is not A.

B. g(x) = 4096(16ˣ⁻³)
    g(x) = (16³)(16ˣ⁻³)
    g(x) = 16ˣ
The answer is B.

C. g(x) = 4(4ˣ)
     g(x) = 4ˣ⁺¹
The answer is not C.

D. g(x) = 0.0625(16ˣ⁺¹)
     g(x) = (16⁻¹)(16ˣ⁺¹)
     g(x) = 16ˣ
The answer is D.

E. g(x) = 32(16ˣ⁻²)
    g(x) = (2⁵)(2⁴ˣ⁻⁸)
    g(x) = 2(⁴ˣ⁻³)
The answer is not E.

F. g(x) = 2(8ˣ)
    g(x) = 2(2³ˣ)
    g(x) = 2³ˣ⁺¹
The answer is not F.

The answer is B and D.
6 0
2 years ago
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