Find the volume of the box. Use the formula V = lwh. Rectangular box with sides x plus 1, 2x plus 1, and 3x minus 2.

Find three consecutive even integers. Such that 7 times of first integer is 4 more than the sum of second and third integers

attashe74 [19]

Answer:

1st even integer = 2

2nd even integer = 4

3rd even integer = 6

Step-by-step explanation:

Let the consecutive even integers be:

1st = 2(x)

2nd= 2(x +1) = 2x + 2

3rd = 2(x + 2) = 2x + 4

According to Given conditions:

7(2x) = 4 + 2x +2 + 2x + 4

By Simplifying:

14x = 10 + 4x

Subtracting 4x from both sides

14x - 4x = 10 + 4x -4x

10x = 10

Dividing both sides by 10 we get:

x = 1

Now putting value of x in supposed integers:

1st even integer = 2(1) = 2

2nd even integer = 2(1)+2 = 4

3rd even integer = 2(1) + 4 = 6

I hope it will help you!

3 0

4 years ago

Use rounding to determine if the following answers are reasonable. Round each of the factors to the nearest ten, then multiply.

Murrr4er [49]

We are rounding these factors to the nearest ten, so 587 becomes 590 and 92 becomes 90.

Now multiply 590 and 90.

590 * 90 = 53,100; 59 * 9 = 531, and then add on the two zeroes.

The following answer of 54,004 is reasonable because it is close to our estimate of 53,100.

Rounding these numbers to the nearest ten, you make 117 become 120 and 19 become 20.

Multiply 120 and 20.

120 * 20 = 2,400; I multiplied 12 and 2 to get 24, then added on the two zeroes.

The following answer of 222.3 is not reasonable because it is way off from 2,400. They are about 1,200 apart.

6 0

3 years ago

A choice got cut off and it’s “-11x+6y=13”. Thank you! And this is a quiz and I have other questions on my account! I need fast

Marrrta [24]

–11x + 6y = –13

Solution:

The points on the line are (5, 7) and (–1, –4).

Here, $x_1=5, y_1=7, x_2=-1, y_2=-4$ \

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{-4-7}{-1-5}$

$$m=\frac{-11}{-6}$

$$m=\frac{11}{6}$

Using point-slope formula,

$y-y_1=m(x-x_1)$

$$y-(-4)=\frac{11}{6} (x-(-1))$

$$y+4=\frac{11}{6} x+\frac{11}{6}$

Subtract 4 on both sides of the equation.

$$y=\frac{11}{6} x+\frac{11}{6}-4$

$$y=\frac{11}{6} x+\frac{11}{6}-\frac{24}{6}$

$$y=\frac{11}{6} x-\frac{13}{6}$

Multiply by 6 on both sides of the equation.

$6y=11x-13$

Subtract 11x from both sides of the equation.

–11x + 6y = –13

Hence option A is the correct answer.

3 0

4 years ago

Answer my 2 questions-

kakasveta [241]

Answer:

1. C 2. 4.95

Step-by-step explanation:

1. Car payments are typically set so that the payments are equal (with the possible exception of the very last payment--sometimes called a balloon payment).

2. "Difference" implies a subtraction: 7.75 - 2.8 = 4.95. That is not among the answers offered; could answe B be a typo?

4 0

3 years ago

A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4 centimeters.

adoni [48]

Volume = Length x Width x Height
Volume = 1 1/4 x 4 x 3 1/4
Volume = 5/4 x 4 x 13/4
Volume = 5 x 13/4
Volume = 65/4
Volume = 16 1/4 cm³

7 0

3 years ago