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3 years ago

Why is 1/8 greater than 1/10 but less than 1/3

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

Because in '1/8', there are 8 whole number but one shaded and in '1/10', there are 10 whole number and one shaded. as you see in the picture, the smaller the denominator is(when it goes up), the more bigger it is than those below. So 1/8 is greater than 1/10. but 1/8 is smaller than 1/3, because remember:
*The more you go down(or the higher the denominator is), the more you are making the fraction into more smaller pieces.

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Drag values to complete each equation.

Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.

So the answer is 1, which is A

2. Power of a Power Property: $(a^m)^n = a^m^n$

So plug the numbers in the property: $(17^{6}) ^3$ = $17^1^8$

Product Property: $(a^m)(a^n) = a^m^+^n$

We plug the equation in with $(17^{6}) ^3$ turned into $17^1^8$ ---

$(17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9$

So the answer is $17^9$ , which is D

I hope this helps!
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Have a great day!

7 0

2 years ago

Read 2 more answers

Please hurry no clown answers and please do the whole thing

mr Goodwill [35]

Answer:

100-40=m Answer:60

Step-by-step explanation:

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3 years ago

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Which of these is a proportional relationship?

Agata [3.3K]

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2 years ago

The drama club needs to sell 50 tickets to the school play. So far, they have sold 9 tickets . What percent of their target have

Aliun [14]

Answer:

18%

Step-by-step explanation:

9 over 50 equals 18 over 100, 18 over a hundred equals 18 percent

8 0

3 years ago

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Ezra drew a scale drawing of a house and its lot. The deck is 90 inches wide in the drawing.

NARA [144]

Answer:

a). Scale: 1 inch:0.4 feet

b). actual measurement=24 feet

Step-by-step explanation:

a).

Step 1

We know that;

1 foot=12 inch

Step 2

Convert 36 feet to inches as follows

If 1 foot=12 inches, then 36 feet converted to inches will be;

(36×12)=432 inches

actual measurement=432 inches

Step 3

We can express the relation ship between the drawing measurement and the actual measurement as follows;

Actual measurement=scale factor×drawing measurement

where;

actual measurement=432 inches

drawing measurement=90 inches

scale factor=s

replacing;

432=s×90

90 s=432

s=432/90

s=4.8

Meaning in order to convert a drawing measurement in inches to the actual measurement in inches, we multiply the drawing measurement by a scale factor of 4.8. This implies;

1 inch drawing represents 4.8 inches on the actual deck, or similarly;

1 inch drawing represents (4.8/12), 0.4 feet on the actual deck

Scale: 1 inch:0.4 feet

b). Convert 5 inches drawing to actual measurement

Actual measurement(feet)=drawing measurement×scale factor

where;

drawing measurement=5 inches

scale factor=4.8

replacing;

actual measurement=(5×4.8)=24 feet

7 0

3 years ago