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3 years ago

The length of a rectangle is six times it's width. If the area is 216 inches squared, find its perimeter

2 answers:

8 0

I had a problem like this but it was different but what i divided was 216 divided by 12 and got 18 and 216 divided by 6 and got 36

horrorfan [7]3 years ago

7 0

So first to find the perimeter, you need to find the lengths of the sides. Since you have the area, you know that 216=length x width. Use w for width, and 6w for length (since length is 6 times the width). So 216= 6w x w = 6w^2. Divide this by 6 and you get 36=w^2. So now we know that width=6. And we know that length is 36. Now all you have to do is add those together. 36+36+6+6=84. Perimeter = 84 inches. (you can check your work by multiplying 36 x 6 which equals 216: the area you were given).

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2.375 in expanded form

kari74 [83]

Answer:

2375^-3

Step-by-step explanation:

Move the decimal place from 2.375 to the back of the number so it should look like this, 2375.

Than move the decimal place back to its original spot and count the amount of spaces you move. Remember, if you move forward, your exponent should be negative. For example, if the problem is 6.321, you would move the decimal place to the back like this, 6321. And then move it back to where it originally was, 6.321, the amount of spaces I moved was 3 spaces and I moved forward so It would be 6.321^-3

6 0

3 years ago

3(2x+1)=7-2(x+5)<br> Can you please show me how to solve this step by step please

Talja [164]

3(2x+1) = 7-2(x+5)
6x+3 = 7-2x-10
-3 -3
6x = 7-2x-10-3
+2x +2x
8x = -6
---- -----
8 8
x = -3/4

8 0

3 years ago

Use the formula to find the slope of the line that passes through these two points. Show your work.

Dafna1 [17]

Answer:

Solution given:

$(x_1,y_1)=(1,2)$

$(x_2,y_2)=(7,7)$

now

slope: $\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{7-1}=\frac{5}{6}$

Slope: 5/6

6 0

3 years ago

Help needed ASAP will give BRAINLIEST and 5 Stars rate

garri49 [273]

(-3, 3) because it is the intersection point.

7 0

3 years ago

ack has a collection of 10 pairs of gloves in his wardrobe. Before a business trip, he has to pack his luggage, and he selects 8

Leto [7]

Answer:

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

Step-by-step explanation:

We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.

To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:

1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in ${10 \choose 8}$ ways.

2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is $2^8$

And so the total number of ways in which we could choose 8 gloves from different colors is

${10 \choose 8 }2^8$

Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply ${20 \choose 8}$

So the probability of picking no mathing pair is

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

4 0

3 years ago