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Answer: 32768 or [tex]8^5[/tex].

Step-by-step explanation:

[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152

[tex]8^2[/tex]= 8x8 = 64

                                            Dividing Exponents

When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].

                                          Dividing Whole Numbers.

You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.

64 goes into 2097152, 32768 times. Or we can say,

2097152 divided by 64 = 32768.

So the answer is 32768, or [tex]8^5[/tex].

Answer:

B.) 10.5

Step-by-step explanation:

Use ratios, but be careful.

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

The value of x in the given figure is 10.5 so, option B.) 10.5 units is correct.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Using ratios;

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

Thus, option B.) 10.5 units is correct.

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Answer:

.20(7) ≤ x .20(8)

Step-by-step explanation:

let 'x' = amount of time in REM sleep

Answer:

1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6

Step-by-step explanation:

You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.

Hope this helps!

Answer:

1.=scalene+acute . 2. equilateral .  3. obtuse+scalene .  4. isosceles+right .  5. scalene+acute(cant tell exactly)  6. acute+isosceles .  7. right+isosceles . 8. isosceles + obtuse

Step-by-step explanation:

look at pictures

Answer:

$3.04 (rounded to nearest cent)

Step-by-step explanation:

Total cost without tax = $18 + $9.99 × 2

                                    = $37.98

Tax = [tex]\frac{8}{100}[/tex] × $37.98

      = $3.04 (rounded to nearest cent)

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

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Answer:

I will do the first one for you 115/24

Step-by-step explanation:

First find the prime number is of the number on the bottom of the fraction

Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3

Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it

Hope this helps :D

Answer:

2 hours and 40 mins i think

Step-by-step explanation:

Answer:

n= -3/4 (0.75)

Answer:

The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.

Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.

Answer:

is there anymore to the question?

Step-by-step explanation:

Answer:

apples: 6/8 = $0.75 per apple

pears: 1.25/1 = $1.25 per pear

peaches: 1.50/1 = $1.50 per peach

bananas: 4/6 = $0.67 per banana

"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.

Step-by-step explanation:

I hope this helps :)

EQUATIONS:

24x + 32y = 264

x + y = 9

x is shirts, y is pants

SOLVING by substitution:

x = 9 - y

24(9 - y) + 32y = 264

216 - 24y + 32y = 264

8y = 48

y = 6

x + 6 = 9

x = 3

Answer:

Yes, good for him. lol

Step-by-step explanation:

Answer:

what he do there?

Answer:

4

Step-by-step explanation:

Substitute -3 for x.

-3 + 7 = 4

Answer: 9/8

Step-by-step explanation:

you turn 1/2 into 4/8 and add that to 5/8 to get 9/8

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2+9x+4=0

For this equation: a=3, b=9, c=4

3x2+9x+4=0

Step 1: Use quadratic formula with a=3, b=9, c=4.

x=−b±√b2−4ac/2a

x=−(9)±√(9)2−4(3)(4)/2(3)

x=−9±√33/6

Answer:

its 12

Step-by-step explanation:

12 oz

Answer:

22.5/3

Step-by-step explanation:

Hey, the idea is to set up an equation that you can solve

36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left

Now just solve for how much tea is in each cup.

36-13.5 = 3(X)

3X = 22.5

x = 22.5/3

Answer:

What model?

Step-by-step explanation:

Answer:

where is the diagram

Step-by-step explanation:

?

Answer:

C !!!   THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!

Step-by-step explanation:

Answer:

167.8

Step-by-step explanation:

Answer: 167.8

Step-by-step explanation:

The Pythagoras Theorem:

the base squared and height squared added is equal to the hypotenuse squared.

so

(x+6)² + (x+3)²= (x+9)²

x²+36+12x+x²+9+6x = (x+9)²

2x²+45+18x=x²+81+18x

x²=36

x=√36

X= 6

now

(x+6)= 12

(x+3)=9

(x+9)=15

haha sorry correct it pls

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points