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liraira [26]
3 years ago
8

Find the volume of each figure. Simplify your answers.

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

98.28\:\mathrm{ft^3}

Step-by-step explanation:

The volume of a rectangular prism is given by V=l\cdot w\cdot h, where l is the length of the prism, w is the width of the prism, and h is the height of the prism.

Substituting given values, we get:

V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}

Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.

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A teacher has 7 candy bars to equally share with 8 students. How many candy bars does each student receive?
zalisa [80]

Answer:

7/8 or 0.875

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Suppose M varies directly with S. If M is 900 when S is 500, which equation relates M to S
julsineya [31]

Answer: M  = ⁹/₅S

Step-by-step explanation:

 M  ∞ S -------------------------------- 1

M  =  KS ------------------------------ 2

K is a constant and need to be calculated

substitute for M and S in 2 to find K

900 = K500

K      =  ⁹⁰⁰/₅₀₀

       = ⁹/₅

Therefore , the equation that connect / relates M to S will be

M   =  KS

M   = ⁹/₅S

6 0
3 years ago
Find all rational zeros of the polynomial
rjkz [21]

x^3+x^2-5x+3=x^3+3x^2-2x^2-6x+x+3\\\\=(x^3-2x^2+x)+(3x^2-6x+3)=x(x^2-2x+1)+3(x^2-2x+1)\\\\=(x^2-2x+1)(x+3)=\underbrace{(x^2-2(x)(1)+1^2)}_{(a-b)^2=a^2-2ab+b^2}(x+3)=(x-1)^2(x+3)\\\\P(x)=0\iff(x-1)^2(x+3)=0\iff(x-1)^2=0\ \vee\ (x+3)=0\\\\x-1=0\ \vee\ x-1=0 \vee\ x+3=0\\\\x=1\ \vee\ x=1\ \vee\ x=-3\\\\Answer:\ \boxed{x_1=1,\ x_2=1,\ x_3=3}

4 0
3 years ago
**please help due today I am behind please, please 17 points **
Stella [2.4K]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
2 1/7 divided by 1 1/14
sergij07 [2.7K]

Answer: 2

<u>Turn 2 1/7 into an Improper Fraction</u>

Multiply 2×7 and get 14. Now add 1 and get 15.

2 1/7 = 15/7

<u>Turn 1 1/14 into an Improper Fraction</u>

Multiply 1×14 and get 14. Now add 1 and get 15.

1 1/14 = 15/14

Your New Problem: 15/7×15/14

<u>Multiply</u>

15/7×15/14=225/98

<u>Simplify</u>

225/98=2.29591836735

<u>Round (Nearest ones)</u>

2.29591836735 rounded equals 2

Final Answer: 2

7 0
3 years ago
Read 2 more answers
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