List 3 values that would make this inequality true. 3n < 18

Answers

Answer 1

Answer: first it has a sign second is that you can divide 3 by 18 and lastly 18 is greater than 3n

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Jonah had 4 books Stacy had 7 books how many books did they not have

Answers

The number of books that they did not have
is 11 less than all the books in the world.

Which category of two-dimensional shapes applies to all three of these shapes?

Answers

All three of these shapes are isosceles triangles.

Melillo Middle School prepared 30 cups of trail mix for a carnival. The ratio of nuts to dried fruit in the trail mix was 3 to 2. If the teachers ate 6 cups of nuts out of the mix, how many cups of dried fruit would need to be taken out in order to keep the original ratio?

Answers

4 cups of dried fruit would need to be taken out to keep the original ratio.

Given:
30 cups of trail mix.
ratio of nuts to dried fruit is 3 to 2.

3:2 = 6:x
3x = 2*6
3x = 12
3x/3 = 12/3
x = 4 cups of dried fruits

ratio is 3:2
30 total
3+2=5
30=5 units
divide by 5
6=1 unit

at first there is
3(6):2(6)=18:12
18 nuts and 12 dried fruit
if teachers ate 6 nunts then hoa much fruit must be taken out to keep it same

18-6=12
12:x=3:2
treat as fraction
12/x=3/2
multiply both sides by x to clear x
12=3x/2
multiply both sides by 2 to cleaer fraction
24=3x
divide by 3
8=x

it needs to be 8
12-x=8
subtract 12 from both sides
-x=-4
multiply -1
x=4

4 cups must be taken out

Simplify a raised to the negative third power over quantity 2 times b raised to the fourth power end quantity all cubed.8b12a9
quantity 8 times b raised to the twelfth power end quantity over a raised to the ninth power
1 over quantity 6 times a raised to the ninth power times b raised to the twelfth power end quantity
1 over quantity 8 times a raised to the ninth power times b raised to the twelfth power end quantity

Answers

Answer:

$(1)/(8a^9b^12)$

Step-by-step explanation:

$((a^(-3))/(2b^4))^3 =$

$= ((1)/(2a^3b^4))^3$

$= (1)/(8a^9b^(12))$

Answer:To simplify the expression "a raised to the negative third power over quantity 2 times b raised to the fourth power end quantity all cubed", we can follow these steps:

Step 1: Simplify the numerator.

a raised to the negative third power is equivalent to 1 over a cubed.

Step 2: Simplify the denominator.

2 times b raised to the fourth power is equivalent to 2b to the fourth power.

Step 3: Combine the simplified numerator and denominator.

So, the expression becomes 1 over a cubed divided by 2b to the fourth power, all cubed.

Step 4: Simplify the division.

When we divide by a fraction, we can multiply by its reciprocal.

The reciprocal of 2b to the fourth power is 1 over 2b to the fourth power.

Therefore, the expression simplifies to 1 over a cubed times 1 over the reciprocal of 2b to the fourth power, which is 1 over 2b to the fourth power.

In summary, the simplified expression is 1 over 2b to the fourth power times a cubed.

Divide. Check your answer 1. 837 ÷ 36

2. 1,650 ÷ 55

3. 5,634 ÷ 18

4. 7,231 ÷ 24

5. 5,309 ÷ 43

6. 3,774 ÷ 37

7. 1,099 ÷ 54

8. 6.440 ÷ 28

9. 5,256 ÷ 52

10. 1,955 ÷ 85

11. 5,624 ÷ 46

Answers

1.   23.25

2. 30

3.   313

4.    301.3

5.   123.5

6.   102

7.   20.4

8.   134.2

9.   101.1

10. 23

11. 122.3

1. 23.25
2. 91.7 (rounded)
3. 313
4. 301.3 (rounded)
5. 123.5 (rounded)
6. 102
7. 20.4(rounded)
8. 230 or .23(you have a decimal written down)
9. 101.1(rounded)
10. 23
11. 122.3(rounded)

A store marks up an item from $50 to $100. a. What is the percentage increase?

b. $100 is what percentage of $50?

Answers

A) it is a 100% increase

B) 200% of $50

a.) Half of 100 is 50. So that means that the percentage increase is 50%.
b.) Same as a,
100%/x% = 100/50
(100/x)*x = (100/50)*x Multiply both sides by x
100 = 2*x
100/2 = x
50 = x
x= 50

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