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3 years ago

Estimate. Then find the product.

Mathematics

1 answer:

34kurt3 years ago

4 0

Based on the example given, I'm guessing you're supposed to round to the nearest thousand, so that's what I'll do.

2. Round 5339 to 5000, multiply by 6 to get the estimate of 30,000.

3. Round $879 to $1000, multiply by 8 to get the estimate of $8000.

4. Round 3182 to 3000, multiply by 5 to get the estimate of 15,000.

5. Round 4616 to 5000, multiply by 3 to get the estimate of 15,000.

6. Round $2854 to $3000, multiply by 9 to get the estimate of $27,000.

7. Round 7500 to 8000, multiply by 2 to get the estimate of 16,000.

8. Round 948 to 1000, multiply by 7 to get the estimate of 7000.

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3 years ago

Find the sum or difference (5b-9)-3(8-2b)

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Simplifying (5b + -9) + -3(8 + -2b) = 0 Reorder the terms: (-9 + 5b) + -3(8 + -2b) = 0 Remove parenthesis around (-9 + 5b) -9 + 5b + -3(8 + -2b) = 0 -9 + 5b + (8 * -3 + -2b * -3) = 0 -9 + 5b + (-24 + 6b) = 0 Reorder the terms: -9 + -24 + 5b + 6b = 0 Combine like terms: -9 + -24 = -33 -33 + 5b + 6b = 0 Combine like terms: 5b + 6b = 11b -33 + 11b = 0 Solving -33 + 11b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 11b = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 11b = 0 + 33 11b = 0 + 33 Combine like terms: 0 + 33 = 33 11b = 33

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3 years ago

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Find the volume of the following solid figure. Use = 3.14. V = 4/3r3. A sphere has a radius of 5.7 inches. Volume (to the neares

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3 years ago

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If x is a positive integer, for how many different values of x is sqrt48/x a whole number?

slava [35]

Answer:

The only possible values of x that fulfill with both conditions are 3, 12 and 48.

Step-by-step explanation:

1. What are the positive integers? Also know as the whole numbers or the counting numbers. They start from 1, and continue to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, etc.

2. What are the whole numbers? The definition of whole numbers is that they are the number with no fractions or decimals.

3. According to those definitions, x must be a positive integer and the result of √48/x, must be a whole number.

4. For fulfilling the first condition, x must be only a value from 1 to 48.

5. For fulfilling the second condition, the result of √48/x must be a whole number. It means it must be 1, 2, 3, 4, 5 or 6. From 7 is not possible to continue because those numbers are bigger than 48, for example √49, √64, √81, √100 and so on, and it would be impossible to fulfill with the first condition.

6. So, we have just 6 possible options (√48/x = 1, √48/x = 2, √48/x = 3, √48/x = 4, √48/x = 5 and √48/x =6). Let's review in detail one by one.

√48/x = 1, Is there any value of x for fulfilling both conditions? Yes, it's. It's 48. 

√48/x = 1 and let's replace x by 48.

√48/48 = √1 = 1

√48/x = 2, Is there any value of x for fulfilling both conditions? Yes, it's. It's 12. 

√48/x = 2 and let's replace x by 12.

√48/12 = √4 = 2

√48/x = 3, Is there any value of x for fulfilling both conditions? No, it isn't.

There isn't any whole number that allow us to fulfill with this: √48/x = √9 = 3

√48/x = 4, Is there any value of x for fulfilling both conditions? Yes, it's. It's 3.

√48/x = 4 and let's replace x by 3.

√48/3 = √16 = 4

√48/x = 5 Is there any value of x for fulfilling both conditions? No, it isn't.

There isn't any whole number that allow us to fulfill with this: √48/x = √25 = 5

√48/x =6 Is there any value of x for fulfilling both conditions? No, it isn't.

There isn't any whole number that allow us to fulfill with this: √48/x = √36 = 6.

The only possible values of x that fulfill with both conditions are 3, 12 and 48.

6 0

3 years ago