3 years ago

Which expression represents the perimeter of the rectangle with a width of 4x+3 and legnth of 2x?

Mathematics

1 answer:

slavikrds [6]3 years ago

3 0

P = 2L + 2W
P = 2(2x) + 2(4x + 3)
P = 4x + 8x + 6
P = 12x + 6

The correct response would be D. 12x + 6.

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What happens to the mean of the data set {2, 4, 5, 6, 8, 2, 5, 6} if the number 7 is added to the data set?

konstantin123 [22]

Answer:

It increases

Step-by-step explanation:

The mean of the given data set of 8 values is 4.75 ( $\frac{2+4+5+6+8+2+5+6}{8}$ )

Adding 7 into the data set also increase the number of data points to 9, so the mean becomes: $\frac{2+4+5+6+8+2+5+6+7}{9}$ , which is equal to 5

Hope this helps

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3 years ago

Larry makes sandwiches for lunch everyday. He can make 6 sandwiches with every 3 tomatoes he buys. If he bought 6 tomatoes, how

malfutka [58]

Answer:

12 sandwiches

Step-by-step explanation:

Make a proportion

He can make 6 sandwiches with 3 tomatoes, and x sandwiches with 6 tomatoes

6/3=x/6

Multiply both sides by 6 to isolate the variable, x

6*6/3=x/6*6

12=x

So, with 6 tomatoes, he can make 12 sandwiches

4 0

3 years ago

Read 2 more answers

Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.

Yuri [45]

Answer:

$D(x)= x\sqrt{2}$

Step-by-step explanation:

Given

$Side = x$

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

$D^2= Side^2 + Side^2$

Substitute x for Side

$D^2= x^2 + x^2$

$D^2= 2x^2$

Take the square root of both sides

$D= \sqrt{2x^2$

Split

$D= \sqrt{2} * \sqrt{x^2$

$D= \sqrt{2} * x$

$D= x\sqrt{2}$

Express as a function.

$D(x)= x\sqrt{2}$

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3 years ago

Five times the sum of e and 4 is equal to -7.

andre [41]

5+ 4e = -7 is the correct answer.

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3 years ago

What does a 45 degree angle look like

Stolb23 [73]

This is what a 45 degree angle looks like.
Good luck!

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3 years ago