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Masteriza [31]
3 years ago
14

A rectangle has a length of 6x + 3 units and a width of 8 units.

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

Part A: 48x + 24 units^2

Part B: Yes; both rectangles have the same simplified expression for their area (48x + 24 units^2).

Step-by-step explanation:

First you should know what the formula for finding the area of a rectangle is. The formula is: length (l) times width (w).

<h2>PART A:</h2>

Since you are given an expression for the length and the width, you can substitute these given values into the formula to form a simplified expression for Part A.

(length) * (width) ⇒ (6x + 3)(8)

Multiply to simplify this expression.

48x + 24 units^2 is the expression for the area of the rectangle.

<h2>PART B:</h2>

To find the answer for Part B, do the same thing you did for Part A. Substitute the values for length and width of this other rectangle into the formula.

(length) * (width) ⇒ (4x + 2)(12)

Multiply to simplify this expression.

48x + 24 units^2

This rectangle has the same expression as the other rectangle, so this means that they must have the same area.

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A line has a slope of -4/5. Which ordered pairs can be points on the line is perpendicular to this line
pychu [463]

Answer:

Any ordered pairs which have a slope of 5/4.

Step-by-step explanation:

The line has a slope of -4/5 which means the y values have a difference of -4 and the x values have a difference of 5. If the line is perpendicular to this line then its slope must be the negative reciprocal which is 5/4. Any points which have a difference in y values of 5 and a difference of x values of 4 will be on some line perpendicular to the original.

6 0
3 years ago
Willow has a recipe that asks her to use 3/4 cup of sugar. She is going to make 1/2 of the recipe, so she only needs 1/2 of that
Novosadov [1.4K]

Answer:

3/8ths cup

Step-by-step explanation:

take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th

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3 years ago
What will be the cost for 8 hours of work? 10 hours of work?​
andreyandreev [35.5K]

Answer:

<u>Cost = 25 + 50h</u>

cost for 8 hours of work = $425

cost for 10 hours of work = $525

Step-by-step explanation:

The question is as following:

A plumber charges $25 for a service call plus $50 per hour of service write an equation to represent the cost of hiring this plumber​.

what will be the cost for 8 hours of work? 10 hours of work?​

=======================================================

A plumber charges $25 for a service call plus $50 per hour

<u>Cost = 25 + 50h</u>

Where h is the number of hours of service

8 hours of work: h = 8

Substitute with h = 8 at the equation of cost

<u>Cost = 25 + 50* 8 = $425</u>

10 hours of work: h = 10

Substitute with h = 10 at the equation of cost

<u>Cost = 25 + 50 * 10  = $525</u>

6 0
3 years ago
How to add these mixed numbers
krek1111 [17]
Make them into improper fractions
(5*5)+3
(2*3)+2

Final fractions
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Find a common denominator
Multiply 28/5 by 3
84/15
Multiply 8/3 by 5
40/15

Add - 84+40=124
8 0
3 years ago
Read 2 more answers
A cube had edge length 11 inches. Select all the expressions that could represent it’s volume. Two answers. A cube had edge leng
const2013 [10]

Answer:

6(11 ⋅  11) and    6(112) I think

Step-by-step explanation:

yea

6 0
3 years ago
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