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3 years ago

Write the following as a simple fraction in lowest terms

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

(-6)^-4 / -6^(-3) = -6^(-4- -3) = (-6)^-1 = -1/6

(-6)^-2 / (-6)^-3 = (-6)^1 = -6

So the answer is - 6 1/6

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Solve for r 5(r-10)= -51

Sloan [31]

Answer:

r= -1/5

Step-by-step explanation:

Step 1: Remove the parentheses (5r-10= -51)

Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)

Step 3: Calculate the sum of -51 +50 (5r = -1)

Last Step: Divide both sides by the equation by 5 (r = -1/5)

4 0

3 years ago

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. What is the length of each shorter piece of rope? Enter you

denis-greek [22]

Answer:

$\text{Length of each shorter piece of rope}=8\text{ meter}$

Step-by-step explanation:

We have been given that Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. We are asked to find the length of each shorter piece of rope.

To find length of each shorter piece of rope, we will divide total length of rope by 2 because Juan cuts the rope into two equal pieces.

$\text{Length of each shorter piece of rope}=\frac{16\text{ meter}}{2}$

$\text{Length of each shorter piece of rope}=8\text{ meter}$

Therefore, the length of each shorter piece of rope would be 8 inches.

5 0

3 years ago

A trapezoid has verities A(-5, 4), B(-3, 2) C(-7, -2) and D(-7, 2). It is transformed according to the rule

Makovka662 [10]

Not enough info to answer the question it should have 2 trapezoids to compare if your talking about transformations

7 0

3 years ago

Define the term of mathematics ?

Mashutka [201]

Answer:

it is the abstract science of number, quantity and space, either as abstract concept

3 0

2 years ago

A round balloon has a diameter of 7 inches

gizmo_the_mogwai [7]

Answer:

The right answer is approximately 210.031 cubic inches. (Answer: E)

Step-by-step explanation:

First, we need to convert the diameter ( $D$ ), in inches, of the round balloon to an entirely decimal mode:

$D = 7\,in + \frac{3}{8}\,in$

$D = \frac{56 + 3}{8}\,in$

$D = \frac{59}{8}\,in$

$D \approx 7.375\,in$

The volume of the balloon is modelled after the volume function of a sphere ( $V$ ), in cubic inches:

$V = \frac{\pi}{6}\cdot D^{3}$ (1)

If we know that $D \approx 7.375\,in$ , then the volume of the round balloon is:

$V = \frac{\pi}{6}\cdot D^{3}$

$V = \frac{\pi}{6} \cdot (7.375\,in)^{3}$

$V \approx 210.031\,in^{3}$

Hence, the right answer is approximately 210.031 cubic inches.

6 0

3 years ago