Why do whole numbers with an exponent get bigger while fractions with an exponent get smaller.

Answers

Answer 1

Answer:
Raising a whole number to a power means:

   Take (a number of things) a number of times, and then possibly
   take that big number of things a number of times again.

Raising a fraction to an exponent means:

   Take a piece of (a piece of one thing), and then possibly
      take just a piece of that smaller piece.

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What is one fifth of 15

Answers

$(1)/(5)\cdot15= (1)/(5)\cdot (15)/(1)= (1)/(5)\cdot (3\cdot5)/(1)=3$

1/5 of 15=1/5 ×15=3
whenever there is of it means u need 2 multiply first no. with second no.

I need help with math motion problems. Ex. Two cars left a shop. The first car travels 55 mph and left at 9:00 am. The other car left one hour later at 75 mph. At what time did the second car catch up with the first?

Answers

The whole story begins at 9:00 AM, so let's make up a quantity called ' T ',
and that'll be the number of hours after 9:00 AM. When we find out what ' T ' is,
we'll just count off that many hours after 9:00 AM and we'll have the answer.

-- The first car started out at 9:00 AM, and drove until the other one caught up
with him. So the first car drove for ' T ' hours.

The first car drove at 55 mph, so he covered ' 55T ' miles.

-- The second car started out 1 hour later, so he only drove for (T - 1) hours.

The second car drove at 75 mph, so he covered ' 75(T - 1) ' miles.

But they both left from the same shop, and they both met at the same place.
So they both traveled the same distance.

(Miles of Car-#1) = (miles of Car-#2)

55 T = 75 (T - 1)

Eliminate the parentheses on the right side"

55 T = 75 T - 75

Add 75 to each side:

55 T + 75 = 75 T

Subtract 55 T from each side:

75 = 20 T

Divide each side by 20 :

75/20 = T

3.75 = T

There you have it. They met 3.75 hours after 9:00 AM.

9:00 AM + 3.75 hours = 12:45 PM . . . just in time to stop for lunch together.

Also by the way ...
when the 2nd car caught up, they were 206.25 miles from the shop.

(39-?) divided by 8 = 4

Answers

(39 - x) ÷ 8 = 4
Multiply by 8 on both sides
39 - x = 32
Subtract 39 from each side
- x = - 7
Divide by - 1 (when there is a negative variable)
x = 7

$(39-?) \ divided \ by \ 8 \ = \ 4 \n \n We \ know \ 32 \ divided \ by \ 8 \ = \ 4 \n \n 39-32=7 \n \n Answer:(39-32) \ divided \ by \ 8 \ = \ 4 \ or \ \boxed{?=7} \n$

A teacher offers her students 5 fake dollars to spend in the class store, when they get a perfect score on their math tests. If one of her students gets a perfect score on 4 of the math tests and already has 25 fake dollars, how many fake dollars, in total, does this student have to spend in the class store?

Answers

Answer:

45 fake dollar.

Step-by-step explanation:

Given: teacher offer 5 fake dollar for each perfect score in Math test.

One of Student get perfect score on 4 maths test.

Student already have 25 fake dollor.

Now, solving to find total number of fake dollar teacher offered to student.

As given teacher offer 5 dollar for each perfect score in maths test and student got perfect score on 4 maths test.

Number of fake dollar offer to the student= $Fake\ dollar\ offered\ for\ each\ perfect\ score\ *\ number\ of\ maths\ test\ with\ perfect\ score$ ∴ Number of fake dollar offered to the student= $5* 4= 20\ fake\ dollar$

We know, student already have 25 fake dollar.

Next, finding total number of fake dollar student have.

Total fake dollar student have= $fake\ dollar\ offered\ by\ teacher + fake\ dollar\ student\ already\ have$ .

Total fake dollar student have= $20+25= 45\ fake\ dollar$

Hence, student have total 45 fake dollar to spend in the class store.

What does rounding to the nearest ten square feet mean?

Answers

Round to the nearest tens place.

Final answer:

Rounding to the nearest ten square feet means finding the closest multiple of ten to a given area in square feet.

Explanation:

Rounding to the nearest ten square feet means finding the closest multiple of ten to a given area in square feet. This is done by looking at the tens digit of the number. If the tens digit is 5 or greater, you round up to the next multiple of ten. If the tens digit is less than 5, you round down to the previous multiple of ten. For example, if you have an area of 67 square feet, rounding to the nearest ten square feet would give you 70 square feet.

Learn more about Rounding to the nearest ten square feet here:

brainly.com/question/18105516

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The product of blank and four is equal to the product of eight & twelve

Answers

Let us say that this blank is x

So:

$\sf{x *4=8* 12}$

Simplyfying that:

$\sf{4x=96}$

Dividing 4 on both sides:

$\sf{x=24}$

So this blank would be $\boxed{\sf{24}}$

So,

We can write this as an equation.

x * 4 = 8 * 12
4x = 8(12)

Distribute.
4x = 96

Divide both sides by 4.
x = 24

Check.
24 * 4 = 8 * 12
96 = 96 This checks.

The product of twenty-four and four is equal to the product of eight and twelve.

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