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Natasha2012 [34]
3 years ago
15

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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Tim and Jim are working on a school project together. If he had to work by himself, it would take
Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, \dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}

\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6

So, it will take<u> 6 hours</u> to complete the school project together .

4 0
2 years ago
Danielle opens a credit card with an APR of 22.79% compounded monthly. How much is charged in interest this month if her balance
salantis [7]
1550 * 0.2279 / 12   ( monthly interest is 1/12 of APR)

= $29.43
8 0
2 years ago
Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table
djverab [1.8K]

Answer:

The last table (the bottom one)

Step-by-step explanation:

The ingredients having the same ratio means that, for every number of servings, we should have:

Y/X = constant.

So, for the first table when we have 1 serving, the quotient is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 3/2 = 1.5

The ratios are different.

Then this is not the correct option.

For the second table, when we have 1 serving the ratio is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 4/2 = 2

when we have 3 servings:

Y/X = 8/3 = 2.66

This is not the correct option.

For the third table:

1 serving:

Y/X = 2/1 = 2

2 sevings

Y/X = 3/2 = 1.5

This is not the correct option.

fourth table:

1 serving:

Y/X = 2/1 = 2

2 servings

Y/X = 4/2 = 2

3 servings

Y/X = 8/4 = 2

Here we can see that the ratio is always the same, then the ratio remains constant.

This is the table that shows a possible ratio for ingredients X and Y,

5 0
2 years ago
Consider the expressions 12 + 4y and 4( y + 3 )what is the value of each expression when y = 5
Neko [114]

Answer:

Both expressions equals to 32.

Step-by-step explanation:

You just plug in 5 for each expression: 12+4(5)=32, 4(5+3)=32.

4 0
2 years ago
An Native American tepee is a conical tent. Find the number of cubic feet of air in a teepee 10 ft. in diameter and 12 ft. high.
marta [7]
For this case what you should know is that by definition the volume of the cone is given by:
 V = ((pi) * (r ^ 2) * (h)) / (3)
 Remembering that:
 r = d / 2
 Substituting the values:
 V = ((pi) * ((d / 2) ^ 2) * (h)) / (3)
 V = ((pi) * (((10) / 2) ^ 2) * (12)) / (3)
 V = 314.16 ft ^ 3
 Answer:
 V = 314.16 ft ^ 3
 The nearest option is:
 300 cu. ft
7 0
2 years ago
Read 2 more answers
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