How do you know whether a number is a multiple of another number

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Answer 1
Answer: You would know when one number is also a multiple when the other number is a factor of it as well. For example when we see a prime number like 2, there are  no factors for this number so it is just a multiple of 1 and 2. 
However for numbers like 15 and 25.
We would know ( if you have your times tables memorized) that 15 is a multiple of 1,3, and 5 and 15. 25 is a multiple of 1, 5, and 25. 

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Find the volume generated by rotating the region in the first quadrant bounded by y =e" and the X-axis from = 0 to x = ln(3) about the y-axis. Express your answer in exact form. Volume =

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The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.

To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.

The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.

So, the volume of the region is:

V = ∫0ln(3)πx2dx

We can use the power rule for integration to solve this integral:

V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3

Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.

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A movie theater charges 5 for an adult ticket and 2 for a child's ticket. One Saturday the theater sold 785 tickets for 3,280. How many adult and children tickets were sold for the movie saturday?

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Answer: 570 adult tickets and 215 children tickets were sold

Step-by-step explanation:

Let x represent the number of adult tickets that were sold for the movie Saturday.

Let y represent the number of children tickets that were sold for the movie Saturday.

One Saturday the theater sold 785 tickets. This means that

x + y = 785

The movie theater charges 5 for an adult ticket and 2 for a child's ticket. The total sales on Saturday was 3280. This means that

5x + 2y = 3280 - - - - - - - - - - --- 1

Substituting x = 785 - y into equation 1, it becomes

5(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

- 5y + 2y = 3280 - 3925

- 3y = - 645

y = - 645/- 3

y = 215

x = 785 - y = 785 - 215

x = 570

Help solving statistic children participating at a one week summer camp made five new friends on average during the first six days of camp. If each child made two more friends on the last day of camp, then how many friends on average did the children make during the one week summer camp

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Answer:

On average the children on the camp made 7 new friends in the week.

Step-by-step explanation:

Given:

Average number of new friends camp made in 6 days = 5

Number of new friends made on the last day = 2

We need to find the number of new friends on average did the children make during the one week summer camp.

Solution:

Now we can say that;

to find the number of new friends on average did the children make during the one week summer camp is equal to sum of Average number of new friends camp made in 6 days and Number of new friends made on the last day.

framing in equation form we get;

the number of new friends on average made in 1 week = 5+2 =7

Hence On average the children on the camp made 7 new friends in the week.

Final answer:

On average, each child made 30 friends in the first six days of camp and another 2 on the last day, totaling an average of 32 friends made during the one week summer camp.

Explanation:

The children participating at the summer camp made an average of five new friends each for the first six days. This means they made a total of 5 friends/day * 6 days = 30 friends on average in the first six days. On the last day of camp, each child made two more friends. So, for the week as a whole, each child made an average of 30 friends from the first six days + 2 friends from the last day = 32 friends on average during the week-long summer camp.

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Solve for X

4X-(9-3X)=8X-1

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4x - (9 - 3x) = 8x - 1

4x - (9) - -(3x) = 8x - 1

4x - 9 + 3x = 8x - 1

7x - 9  = 8x - 1        (-8x from each side)

-x - 9 = -1                (+9 to each)

-x = 8                     (divide -1 from each side)

x = -8

In the equation, if we are to solve for x, the result would be -8.

How to solve for x

To solve for x in the expression, the first step would be to collect like terms. Thus, we would have;

4x - (9 - 3x) = 8x - 1

4x -9 + 3x = 8x - 1

Collect similar terms

4x + 3x - 8x = -1 + 9

-x = 8

Divide both sides by -1

x = -8

So, the value of x in this equation is -8.

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28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. the water level rises to the 49.10 mL mark. From this information, calculate the density of iron.

Answers

7.92 g/cm³ is the density of the iron sheet.

Density is calculated by the formula:

= Mass / Volume

The mass here is 28.5 g

The Volume is:

= Volume of water after iron shot added - Volume before shot added

= 49.10 - 45.50

= 3.6 mL

The units for density is g / cm³ so you need to convert the mL to cm³.

1 cm³ = 1 mL

3.6 mL is therefore 3.6 cm³.

Density is:

= 28.5 / 3.6

= 7.92 g / cm³

In conclusion, the density of the iron shot is 7.92 g /cm³.

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Density=mass/volume.
1) we have to calculate the iron volume in liters.
iron volume=second level - first level=49.10 ml-45.50 ml=3.6 ml
3.6 ml=3.6 ml(1 liter / 1000 ml)=0.0036 liters 

2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L

7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.

answer: From this information the Iron density is 7.92 Kg/L or  7.92 g/cm³.

Please help I give Brainllest, stars, and hearts!Write a unit rate for the situations.

30 milliliters every 4 hours
milliliters per hour

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Answer is in screenshot. Can I now have Brainliest?