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4 years ago

Solve each equation.SHOW work plz

Mathematics

1 answer:

Studentka2010 [4]4 years ago

7 0

$3 \frac{1}{2} r = 28 \\ \frac{7}{2} r = 28 \\ \frac{ \frac{7}{2} }{ \frac{7}{2} } r = \frac{28}{ \frac{7}{2} } \\ r = \frac{ \frac{56}{2} }{ \frac{7}{2} } \\ r= \frac{56}{7}$

$1 \frac{1}{2} c =6 \\ \frac{3}{2} c= \frac{12}{2} \\ \frac{ \frac{3}{2} }{ \frac{3}{2} } c= \frac{ \frac{12}{2} }{ \frac{3}{2} } \\ c= \frac{ \frac{12}{2} }{ \frac{3}{2} } = \frac{12}{3} =4 \\ c=4$

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David can run 7.5 miles in 1.5 hours. What is David's rate of speed in miles per hour?

mr_godi [17]

Answer:

Step-by-step explanation:

You are trying to find the amount per hour, so what would be easiest to do would be to divide 7.5 by 1.5, which gets you 5, and to check your work, if you multiply 5 by 1.5, you get 7.5.

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3 years ago

Read 2 more answers

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s344n2d4d5 [400]

Answer:

The error is located in step 9, because the student made the following operation: $(-4)\cdot (-r) = -4\cdot r$ , instead of $(-4)\cdot (-r) = 4\cdot r$ , presented in step 4) of our demonstration. The real solution is 9.

Step-by-step explanation:

First, we proceed to show the appropriate process to solve the equation for $r$ by algebraic means. That is:

1) $-4\cdot (6-r) = 12$ Given

2) $(-4)\cdot [6+(-r)] = 12$ Definition of substraction

3) $(-4)\cdot (6) +(-4)\cdot (-r) = 12$ Distributive property

4) $(-24) +4\cdot r = 12$ $(-a)\cdot b = -a\cdot b$ / $(-a)\cdot (-b) = a\cdot b$

5) $4\cdot r +[24+(-24)] = 12 +24$ Compatibility with addition/Commutative and associative properties

6) $4\cdot r = 36$ Existence of additive inverse/Modulative property

7) $r\cdot (4\cdot 4^{-1}) = 36\cdot 4^{-1}$ Compatibility with multiplication/Commutative and associative properties

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3 years ago

I'm not sure how to solve this... Could anyone please help me?

Mumz [18]

Answer:

the last one 2x-⁴y⁶

Step-by-step explanation:

-4 : - 2 = 2

x-³ : x = x-³-¹ = x-⁴

y⁴ : y-² = y⁴-(-²) = y⁴+² = y⁶

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2x-⁴y⁶

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3 years ago

If f(x) = 4х – 12, what is f(2)? А. - 20 B. 8 C. 4 D. -4

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Answer:

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Step-by-step explanation:

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4 years ago

Please help need answer

kirza4 [7]

Answer:

12,215 ft³

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)(area of base)(height).

Here the height is 9 ft and the diameter of the (round) base is 12 ft.

First we need to determine the area of the base.

If the diameter is 12 ft, then the radius is half that, or r = 6 ft. The area of the base is then A = πr², which in this problem is A = π(6 ft)² = π (36 ft²). Using 3.14 to approximate π, we get A = 4071.5 ft², which we will round u p to A = 4012 ft².

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3 years ago