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r-ruslan [8.4K]
3 years ago
10

The length of a rectangle is 5 inches shorter than double its width. The perimeter of the rectangle is 192 inches. Write a two-s

tep equation to represent the perimeter of this rectangle:
Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

Step-by-step explanation:

Givens

Let the width = x

Let the length = x + 5

Equation

2w + 2W = P

Solution

2x + 2(x + 5) = 192                  Remove the brackets    <=== Answer

2x + 2x + 10 = 192                  Combine like terms

4x + 10 = 192                          Subtract 10 from both sides

4x = 192 - 10                        

4x = 182                                 Divide by 4

4x/4 = 182/4

x = 45.5

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ANSWER AND EXPLAIN I’LL MARK BRAINLIEST PLEASE ILL MARK BRAINLIEST
masya89 [10]

Answer:

160 meters

Step-by-step explanation:

Before I begin, note that distance = rate * time (or d = r * t)

To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)

So, let's set the time that Janiyah takes as x (in seconds). So, he covers

d = r * t, or 8x meters

Then, Connor's equation would be

d = r * t

d = 5x + 60 (because he got a 60 meter headstart)

Because d is the same in both equations, to solve for the amount of time they run:

8x = 5x + 60

Subtract 5x from both sides.

3x = 60

x = 20

Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x

8x = 8 * 20 = 160

So, Janiyah ran 160 meters.

Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so

5x + 60 = 160

5 * 20 + 60 = 160

100 + 60 = 160

160 = 160

True.

So, the answers are correct.

I hope this helps! Feel free to ask any questions!

3 0
3 years ago
Help!! Simplify (see photo) pls explain.
wolverine [178]

Answer:

The answer to your question is: 4x²y³

Step-by-step explanation:

Simplify                                     ∛(-64x⁶y⁹)

                                                 

First, find the prime factors of 64

      64   2

      32   2

      16    2

       8    2

       4    2

       2    2

        1              then 64 = 2⁶

                                            ∛ (-2⁶x⁶y⁹)

Roots can be expressed as fractional powers where the numerator is the power of the number inside the root and the denominator is the root.

Ex.        -2 ⁶/³       x⁶/³      y⁹/³

Now simplify

                       (-2)²  x²  y ³

Finally

                       4x²y³                                          

4 0
3 years ago
Who solved the problem incorrectly, and where was the first mistake made?
omeli [17]

Answer:

B

Step-by-step explanation:

20 × 30 = 600

30 × 6 = 180

5 × 6 = 30

but 20 × 5 doesn't equal 10

5 0
3 years ago
Read 2 more answers
Write an expression that represents the quantity 5 more than a number
Natali5045456 [20]
6+7 is that good i hope so
3 0
3 years ago
What is the reflection image of P (0, 0) after two reflections, first across x = -3 and then across y = -3?
valentinak56 [21]
Reference the image below if you need to.

We start at red point (0,0) and reflect across blue line x= -3.
This puts the point equidistance away on the opposite side at blue point (-6, 0).
That point is then reflected across green line y= -3,
and ends up at green point (-6, -6).

8 0
3 years ago
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