X/5 = 15 (Solving Linear Equations)

Henry and 28 classmates are going to the roller skating rink. each van can hold 11 students . If all of the van are full except

lawyer [7]

you divide 29:11= 2 7/11

so you have 2 full vans and one with 7 students.

so yes the answer is 7

5 0

3 years ago

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Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours

Alona [7]

Answer:

Option C is correct.

Step-by-step explanation:

We have been given total 8 data

Data is : 12,15,18,20,23,23,28

Here, n=7

Median is $\frac{n+1}{2}=\frac{7+1}{2}=4th term$

Median is 20.

When one data is added n=8

The median of even number of data is

$median=\frac{\frac{n}{2}\text{th and}\frac{n}{2}+1\text{th}}{2}$

Median is $\frac{8}{2}\text{th and}\frac{8}{2}+1th$

Median is $4\text{th and}5th$

4th terms is 20

5th terms is 23

Since, median should not be change hence,

Median will be 20.

Therefore, option C is correct.

6 0

3 years ago

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Does anyone understand how to do this

Lerok [7]

Answer:

Step-by-step explanation:

I understand it! (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers. You don't know what they are so we will call them x and y. Our first statement says that these numbers multiply to equal 120. So that first equation is

xy = 120

Our second statement says that they add to -22. So that second equation is

x + y = -22

Now we need to find the 2 numbers. We have 2 unknowns, x and y. That means that we have to have 2 equations. No more than 2 no less than 2. Solve the first equation for y. It doesn't matter which equation you pick and which variable you choose to solve for. If you do the work correctly, you will get the correct answers either way. Solving the first equation for y gives you:

$y=\frac{120}{x}$

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

$x+\frac{120}{x}=-22$

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether. Do this by multiplying everything by x to get

$x^2+120=-22x$

Get everything on one side of the equals sign and factor:

$x^2+22x+120=0$

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

$x^2+12x+10x+120=0$

Use factoring by grouping now.

$(x^2+12x)+(10x+120)=0$

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0. Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which. They are not asking you to specifically define x and y. They are asking you to find the numbers, and you did!

6 0

3 years ago

Rectangle GHIJ is dilated to be a smaller shape. What is the name of the image after the dilation?

prisoha [69]

To know whether the shape is the pre-image or the resulting shape, we need to look at its name.

In this instance, the name of the pre-image is GHIJ.

The resulting name of the shape would be G'H'I'J'.

An apostrophe is placed after every letter to signify that it is the resulting coordinate of the original.

8 0

4 years ago

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What shape is this??

wariber [46]

The shape shown here is a pentagonal pyramid, because it has a pentagonal base and a pointy tip.

6 0

3 years ago