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Flura [38]
3 years ago
5

Math question please help If you get this right I will mark you as a brainliest

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0
Ur answer is D 79.84 squared
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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
Yuliya22 [10]

The original are would be 48.

Since we know that the length and width are two consecutive even integers, we can model them as follows:

Width = x

Length = x + 2

This works because no matter what even number is put in for x, the length will also be even.

Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:

Width: x - 3

Length: x + 2

Area: 24

And we can plug this into the equation.

Length* Width = Area

(x + 2)(x - 3) = 24

x^2 - x - 6 = 24

x^2 - x - 30 = 0

This is not a quadratic that we can factor to show the following:

(x - 6)(x + 5) = 0

This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.

So if we go back to the original rectangle, we know:

Width = x = 6

Length = x + 2 = 8

Area = 6*8 = 48

7 0
3 years ago
Charlotte and Savannah go to the movie theater and purchase refreshments for their friends. Charlotte spends a total of $85.00 o
Rudiy27

Answer:

The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:

8p + 10d = 85

2p + 2d = 20.50

Step-by-step explanation:

Let the price of a bag of popcorn be p

Let the price of one drink be d

Charlotte spends a total of $85.00 on 8 bags of popcorn and 10 drinks. This means

8p + 10d = 85

Savannah spends a total of $20.50 on 2 bags of popcorn and 2 drinks.

2p + 2d = 20.50

The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:

8p + 10d = 85 ----------1

2p + 2d = 20.50 - - - - - -2

Solving the equations with elimination method, multiply equation 1 by 2 and equation 2 by 8

16p + 20d = 170

16p + 16d = 164

Subtracting,

4d = 6

d = 6/4 = $1.5

Put d = 2 in equation 1

8p + 15 = 85

p = 70/8 = $8.75

4 0
3 years ago
Which expression finds the measure of an angle that is coterminal with a 300° angle?
icang [17]
The expression that gives an angle that is coterminal with 300 is 300-720. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression gives an angle of 420 where when it is drawn the terminal sides are on the same location with the 300.

Someone asked the same question here before, check it out

3 0
3 years ago
Read 2 more answers
The area of a rug is represented by the following expression, z2 + 4x – 12 , which of the following expressions
ch4aika [34]

Answer:

Width = (x-2)

Step-by-step explanation:

The area of a rug is given by (x^2+4x-12)

The length of the rug is (x+6)

We need to find the width of the rug.

The area of a rug is given by :

A=lb\\\\x^2+4x-12=(x+6)b\\\\b=\dfrac{x^2+4x-12}{(x+6)}\\\\b=\dfrac{x^2+6x-2x-12}{(x+6)}\\\\b=\dfrac{x(x+6)-2(x+6)}{(x+6)}\\\\b=\dfrac{(x+6)(x-2)}{(x+6)}\\\\b=(x-2)

So, the width of the rug is (x-2). Hence, the correct option is (c).

3 0
2 years ago
Kameryn types 75 words per minute and is just starting to write a term paper. Joe already has 510 words written and types at a s
NARA [144]
Answer: Kameryn will have typed more words than Joe after 34 minutes

7 0
3 years ago
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