1. Which expression is equivalent to c+C -0.44?

A runner increased her distance from 9 miles to 12.5 miles a week. Find the percent increase in mileage.

kondor19780726 [428]

Answer:

39 percent is increase in mileage.

Thus, the correct option is B. 39%.

Step-by-step explanation:

Given:

A runner increased her distance from 9 miles to 12.5 miles a week.

Now, to find percent increase in mileage.

Previous mileage = 9 miles.

Present mileage = 12.5 miles.

Mileage increase = 12.5 - 9 = 3.5 miles.

Now, to get the percent increase in mileage:

$\frac{Mileage\ increased}{previous\ mileage} \times 100$

$=\frac{3.5}{9} \times 100$

$=\frac{350}{9}$

$=38.88\%.$

Approximately the percent increase = 39%.

Therefore, 39% is increase in mileage.

Thus, the correct option is B. 39%.

4 0

3 years ago

The area of a trapezoid is 243cm2. The height is 18cm and the length of one of the parallel sides is 10cm. Find the length of th

Irina18 [472]

Answer:

$Side_2 = 17\ cm$

Step-by-step explanation:

Given

Shape: Trapezoid

$Area = 243cm^2$

$Height = 18cm$

$Side_1 = 10cm$

Required

Determine the length of the second parallel side

The area of a trapezoid is:

$Area = \frac{1}{2}(Side_1 + Side_2) * Height$

Substitute values for Area, Height and Side1

$243 = \frac{1}{2}(10 + Side_2) * 18$

Multiply both sides by 2

$2 * 243 = 2 * \frac{1}{2}(10 + Side_2) * 18$

$486 = (10 + Side_2) * 18$

Divide both sides by 18

$27 = 10 + Side_2$

$Side_2 = 27 - 10$

$Side_2 = 17\ cm$

Hence;

The length of the second parallel side is 17cm

8 0

3 years ago

I need help can you plz help me

horrorfan [7]

Simplify

10/3

Convert to a mixed fraction

3 1/3

4 0

3 years ago

What's is a supplementary angle

alex41 [277]

Either of two Angles whose sum is 180 degrees

8 0

3 years ago

Read 2 more answers

Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.Find

Tresset [83]

Answer:

The largest even integer is 14.

Step-by-step explanation:

Given:

Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.

Now, to find the largest even integers.

As, 2 is an even number.

Let an even integer be $2x.$

So, the three consecutive even integers are:

$2x,\ 2x+2,\ and\ 2x+4.$

Now, we have to add two to get next even number.

Thus, 3 times the second one of these is:

$3(2x + 2) \\= 6x + 6$

Now, the sum of the first and third ones are:

$2x + 2x + 4 \\= 4x + 4$

So, the twice the sum of the first and third integers is less than twelve:

$2(4x+4)-12\\=8x+8-12\\=8x-4$

Now, 3 times the second is 12 less than twice the sum of the other two:

$6x+6=8x-4$

Getting the variables on one side and the number on other:

$6+4=8x-6x$

$10=2x$

Dividing both sides by 2 we get:

$5=x$

$x=5.$

Now, the even numbers we get are:

$2x=2\times 5=10\\2x+2=2\times 5+2=10+2=12\\2x+4=2\times 5+4=10+4=14.$

Thus, the third number is the largest number which is 14.

Therefore, the largest even integer is 14.

8 0

3 years ago