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12345 [234]
4 years ago
7

The width and the length of a rectangle are consecutive even integers. if the width is decreased by 3 inches, then the area of t

he resulting rectangle is 24 square inches. what is the area of the original rectangle? 12 square inches 48 square inches 96 square inches
Mathematics
1 answer:
solong [7]4 years ago
6 0
Consecutive even integers =   x,  x + 2

(x - 3)(x + 2) = 24               Since width x, was decreased by 3.

If we test x = 6,    (6 - 3)(6 + 2) =   3*(8) = 24

So to    <span>(x - 3)(x + 2) = 24,   x = 6 satisfies it.

The original rectangle = </span><span>x,  x + 2 =   6,  6 + 2 =    6,   8
</span><span>
Original area = 6*8 = <span>48 square inches</span></span>
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Another math question I need help with! please answer!
wariber [46]
The answer is c I hope that helps
7 0
3 years ago
Lines b and care parallel.
Vinil7 [7]

Answer:

<h3>Option 2 </h3>

angle 2 = 7x + 1 ( vertically opposite angles)

7x + 1 + 18x + 4 = 180° ( forming linear pair).

7x + 18x + 4 +1 = 180°

25x + 5 = 180°

25x = 180 - 5

25x = 175

x = 7°

angle 2 = 7(7)+ 1

= 50°

7 0
3 years ago
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she c
vlada-n [284]

Given:

The recipe calls for 0.5 quart of milk and 2.5 cups of flour.

She has \dfrac{3}{8} quart of milk and \dfrac{18}{8} cups of flour.

To find:

Whether she have the correct amount of milk and flour to make the pancakes from the recipe.

Solution:

Required Milk = 0.5 quart

Milk she has =  \dfrac{3}{8}=0.375 quarts

Clearly, 0.375 < 0.5.

Required Flour = 2.5 cups

Flour she has = \dfrac{18}{8}=2.25 cups

Clearly, 2.25 < 2.5

Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe

7 0
4 years ago
Write the equation of a line parallel to y=2x+2 that passes through the point (-1, -7)
alexira [117]

Answer: y=2x-5

Step-by-step explanation:

To find the line that is parallel to y=2x+2, we know the slope must be 2. Parallel lines NEVER touch. That tells us that the slope must be 2. Now, all we have to do is to plug in the point to find the y-intercept.

-7=2(-1)+b            [multiply]

-7=-2+b                [add both sides by 2]

b=-5

With the y-intercept, we can find the parallel line.

y=2x-5

7 0
3 years ago
Question 4<br> 3 mi =<br> How many feet
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Answer: 15840

Step-by-step explanation:

6 0
3 years ago
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