MATHEMATICS MIDDLE SCHOOL

Write 240 and 1500 as products of their prime factor

Answers

Answer 1

Answer:

Answer:

$240=2^4* 3* 5$

$1500=2^2* 3* 5^3$

Step-by-step explanation:

To find : Write 240 and 1500 as products of their prime factor ?

Solution :

We factor the number by dividing the least prime numbers,

2 | 240

2 | 120

2 | 60

2 | 30

3 | 15

5 | 5

| 1

So, $240=2* 2* 2* 2* 3* 5$

or $240=2^4* 3* 5$

2 | 1500

2 | 750

3 | 375

5 | 125

5 | 25

5 | 5

| 1

So, $1500=2* 2* 3* 5* 5* 5$

or $1500=2^2* 3* 5^3$

Answer 2

Answer: 240 = 2 × 120
120 = 2 × 60
60 = 2 × 30
30 = 2 × 15
15 = 3 × 5
The 2, 2, 2, 2, 3 and 5 are all the prime factors of 240. So, 2^4 × 3 × 5

1500 = 3 × 500
500 = 5 × 100
100 = 5 × 20
20= 5 × 4
4 = 2 × 2
The 3, 5, 5, 5, 2 and 2 are all the prime factors of 1500. So, 2² + 3 + 5³

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Jane needs to make $40 when working 5 days, Monday through Friday. She earned $28.75 Monday through Wednesday. How much must Jane earn in the next two days?

Can someone help me please!
You just have to resolve it, the ones that doesn’t have an x

Answers

Answer:

5. =1

6. = $-(1)/(3)$

10. = The last solution

Step-by-step explanation:

Antonio read 1/2 of the pages in a chapter in his book.If he read 9 pages,how many pages are in the chapter??

Answers

9 is 1/2 of the chapter, find the whole.

9 + 9 = 18
1/2 + 1/2 = 1

18 is the number of pages in the chapter

1/2 = 9 then 1 = 18. The answer is 18.

Find the cube root of 2^6*3^6*5^3

Answers

Answer:

180

Step-by-step explanation:

Given that :

2^6*3^6*5^3

To Find :

The cube root of 2^6*3^6*5^3

Solution :

First of all let clear this term,

$\bigstar$ Cube root :

Cube root is the number which produces a given number when cubed.

Now,

Your Answer :

$\sf \n \n\implies 2^6*3^6*5^3= 2^6* 3^6*5^3\n \n\implies 64* 729* 125\n \n \implies 5832000\n \n \bigstar\textbf{Cube root of 5832000= 180}$

Answer:

180

Step-by-step explanation:

2^6*3^6*5^3= 2⁶× 3⁶×5³

=64×729×125

=5832000

cube root of 5832000= 180

a box of 10 markers weighs 105 grams. if the empty box weights 15 grams, how much does each marker weigh?

Answers

first, ,how much do all the markers weight? the box with the markers weights 105, so without the box all the markers weigh 105-15=90 grams.

so 90 grams is the weight of 10 markers together, and each of them will weigh one tenth of this: 90/10=9

so each marker weights 9 grams.

Final answer:

The weight of each marker can be found by first subtracting the weight of the empty box from the total weight to get the weight of all markers, then dividing by the number of markers. Each marker weighs 9 grams.

Explanation:

Firstly, we can find the total weight of the markers by subtracting the weight of the empty box from the total weight of the box with the markers. Doing this calculation (105 grams - 15 grams) gives us the total weight of the markers, which is 90 grams. As there are 10 markers, we can find the weight of each marker by dividing the total weight of the markers by the number of markers. This calculation (90 grams / 10) results in each marker weighing 9 grams.

Learn more about Weight Calculation here:

brainly.com/question/34192869

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A restaurant uses 3 pounds of pasta for a party of 14 people. If they are cooking pasta for a party of 56 people, what should they do?

Answers

If you would like to know how many pounds of pasta the restaurant will need, you can calculate this using the following steps:

3 pounds of pasta ... 14 people
x pounds of pasta = ? ... 56 people

3 * 56 = 14 * x /14
x = 3 * 56 / 14
x = 12 pounds of pasta

The correct result would be 12 pounds of pasta.

A video game is on sale for 30% off the regular price of $50.

Answers

30% is equal to 0.30.
You do:
0.3 * 50= $15
The price is now $15

Other Questions

In a fish tank, the ratio of orange fish to blue fish is 4:3. Which statement is true?3/4 of the fish in the tank are blueif there is a total of 56 fish in the tank,than 24 of the fish are orangeThe number of orange fish is 1 1/3 times the number of blue fish.If there are 12 blue fish in the tank, then there are 18 orange fish.

A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How far did the car go in 1 hour? How far did the car travel on 1 gallon of gas?

Please help me with this.

Subtract. Write your answer in simplest form.6 3/4 - 2 3/20