3 years ago

If you have an eight foot ramp, and

Mathematics

1 answer:

NeTakaya3 years ago

7 0

The truck should park 6 feet away from the door

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Question 1) When multiplying powers with the same base, keep the base and _______________ the exponents.

nika2105 [10]

The rules are

$x^a\cdot x^b = x^{a+b}$

$\dfrac{x^a}{x^b} = x^{a-b}$

Let me show you why with a couple of examples: suppose we want to multiply

$4^3\cdot 4^2$

Since powers are just repeated multiplications, we have

$4^3\cdot 4^2 = \underbrace{4\cdot 4\cdot 4}_{4^3}\cdot\underbrace{4\cdot 4}_{4^2}=4^5 = 4^{3+2}$

Similarly, we have

$\dfrac{4^3}{4^2} = \dfrac{4\cdot 4 \cdot 4}{4\cdot 4} = 4 = 4^1 = 4^{3-2}$

8 0

3 years ago

On a map 1/4 inch = 50 miles. If two cities appear 3 inches apart, how many

Mumz [18]

Answer:

Step-by-step explanation:

3⅛ inches × (50 miles)/(¼ inch) = 625 miles

4 0

3 years ago

One bucket of gravel has a mass of 7.05 KG. What is the mass of 20 buckets of gravel in kilograms?

schepotkina [342]

Answer:

D: 141 KG

Step-by-step explanation:

7.05 x 20 = 141

Just multiply the mass of the object by however many objects there are if they all weigh the same.

3 0

3 years ago

If the rectangle is 38 inches and the length is 12 how much is the width ?

Ierofanga [76]

Answer:

width= 3.17

Step-by-step explanation:

Divide 38 (the area) by 12 (the width)

8 0

3 years ago

The Jaxon High School prom committee has 100 thumb drives to sell in a fundraiser. The function f(x) = 8x – 200 models their inc

Alina [70]

Answer:

25 = x

Step-by-step explanation:

Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...

0 = 8x - 200 ... add 200 on both sides

200 = 8x ... divide both sides by 8

25 = x

Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.

5 0

2 years ago