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3 years ago

What is the value of LaTeX: 4^{-3} 4 − 3 ?

Mathematics

1 answer:

storchak [24]3 years ago

4 0

Answer:

1/64

Step-by-step explanation:

$4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot 4\cdot 4}=\boxed{\dfrac{1}{64}}$

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Please help ASAP. PRE ALGEBRA

Andrews [41]

Answer:

x=120°

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2 years ago

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Carl used 10 2/9 an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left

NARA [144]

Answer:

20-(10 2/9)-(5 1/4)= 4.52777777778 inches decimal or 163/36

Step-by-step explanation:

Simplify the following:

20 - (10 + 2/9) - (5 + 1/4)

Put 10 + 2/9 over the common denominator 9. 10 + 2/9 = (9×10)/9 + 2/9:

20 - (9×10)/9 + 2/9 - (5 + 1/4)

9×10 = 90:

20 - (90/9 + 2/9) - (5 + 1/4)

90/9 + 2/9 = (90 + 2)/9:

20 - (90 + 2)/9 - (5 + 1/4)

90 + 2 = 92:

20 - 92/9 - (5 + 1/4)

Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4×5)/4 + 1/4:

20 - 92/9 - (4×5)/4 + 1/4

4×5 = 20:

20 - 92/9 - (20/4 + 1/4)

20/4 + 1/4 = (20 + 1)/4:

20 - 92/9 - (20 + 1)/4

20 + 1 = 21:

20 - 92/9 - 21/4

Put 20 - 92/9 - 21/4 over the common denominator 36. 20 - 92/9 - 21/4 = (36×20)/36 + (4 (-92))/36 + (9 (-21))/36:

(36×20)/36 + (4 (-92))/36 + (9 (-21))/36

| 3 | 6

× | 2 | 0

| 0 | 0

7 | 2 | 0

7 | 2 | 0:

720/36 + (4 (-92))/36 + (9 (-21))/36

4 (-92) = -368:

720/36 + (-368)/36 + (9 (-21))/36

9 (-21) = -189:

720/36 - 368/36 + (-189)/36

720/36 - 368/36 - 189/36 = (720 - 368 - 189)/36:

(720 - 368 - 189)/36

720 - 368 - 189 = 720 - (368 + 189):

(720 - (368 + 189))/36

| 1 | 1 |

| 3 | 6 | 8

+ | 1 | 8 | 9

| 5 | 5 | 7:

(720 - 557)/36

| | 11 |

| 6 | 1 | 10

| 7 | 2 | 0

- | 5 | 5 | 7

| 1 | 6 | 3:

Answer: 163/36

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2 years ago

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Pavel [41]

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2 years ago

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At Wallys school 30% of the student are in 8th grade if there are 470 students total find the number of 8th grade students

kiruha [24]

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3 years ago

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Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to ma

Bess [88]

Answer:

The equation to describe the situation is $p-3=17.$

And, the total weight of the basket of apples was 20 pounds.

Step-by-step explanation:

The question is incomplete so, the complete question is below:

Liang bought a basket of apples to make pies for her friends. The basket of apples weighed p pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies. Write an equation to describe this situation. What was the total weight of the basket of apples?

Now, to write an equation to describe the situation. And to find the total weight of the basket of apples.

So, the basket of apples total weighed = $p\ pounds.$

Liang ate apples weighed = 3 pounds.

And the apples left for the pies weighed = 17 pounds.

Now, to write an equation describing the situation:

$p-3=17.$

Thus, the equation is $p-3=17.$

Now, to get the total weight of the basket of apples:

$p-3=17\\\\Adding\ both\ sides\ by\ 3\ we\ get:\\\\p=20$

Hence, the basket of apples total weighed = 20 pounds.

Therefore, the equation to describe the situation is $p-3=17.$

And, the total weight of the basket of apples was 20 pounds.

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3 years ago