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2 years ago

12

If used compensation to find product of 37x4 first she found 40x4=160 then adjusted that product by adding 3 groups of 4 to get

her final answer 172. What did she do incorrectly?

1 answer:

aleksandrvk [35]2 years ago

4 0

She added to the answer of 40x4, when she added to 37. She should have subtracted.

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Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?

sineoko [7]

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

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3 years ago

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Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin

ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

Same slopes
Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + $\frac{5}{2}$ x

∴ y = $\frac{5}{2}$ x - 5

- The value of m is the coefficient of x

∴ m = $\frac{5}{2}$

∴ The slope of the given line is $\frac{5}{2}$

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = $\frac{5}{2}$

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = $\frac{5}{2}$ (3) + b

∴ -5 = $\frac{15}{2}$ + b

- Subtract $\frac{15}{2}$ from both sides

∴ b = $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x - $\frac{25}{2}$

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0

3 years ago

6x - 2 ( x + 4 )= 12

ElenaW [278]

Answer:

x = 5

Step-by-step explanation:

5 0

2 years ago

Find the inverse function of h(x) = -2/3x + 6.

nalin [4]

Answer:

$h^{-1}(x)=-\frac{3}{2}x+9$

Step-by-step explanation:

To find inverse of a function, follow the steps below:

1. replace h(x) with y

2. Interchange x and y

3. Solve for the new y

4. Replace y to $h^{-1}(x)$ (this is the inverse function)

<u>Step 1:</u> y = -2/3x+6

<u>Step 2:</u> x = -2/3y+6

<u>Step 3:</u>

$x=-\frac{2}{3}y+6\\\frac{2}{3}y=-x+6\\y=\frac{-x}{\frac{2}{3}}+\frac{6}{\frac{2}{3}}\\y=-\frac{3}{2}x+9$

<u>Step 4:</u>

$y=-\frac{3}{2}x+9\\h^{-1}(x)=-\frac{3}{2}x+9$

This is the inverse function.

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2 years ago

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How do i solve each proportion?

natali 33 [55]

You have to cross multiply (multiply the numerator of the first by the denominator of the second and the numerator of the second by the denominator of the first).

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[19]

$\frac{x+4}{3} = \frac{4}{10}$

$10x+40=12$

$10x = -28$

$x=-2.8$

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[21]

$\frac{4}{n+8} = \frac{10}{8}$

$32 = 8n + 64$

$8n = -32$

$n=-4$

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2 years ago

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