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postnew [5]
3 years ago
9

You have to find the area of the figure by first finding the areas of the rectangle and triangle

Mathematics
1 answer:
kiruha [24]3 years ago
3 0

Answer:

The total area is 18

Step-by-step explanation:

The rectangle is equivalent of 12 units and the square is cut in half, so half of 12 is 6. Add the the square and the rectangle together and tou get 18

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-6x-14y=16 and -2x+7y=17 solve by elimination show the work
professor190 [17]

Answer:

(- 5, 1 )

Step-by-step explanation:

- 6x - 14y = 16 → (1)

- 2x + 7y = 17 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term

6x - 21y = - 51 → (3)

Add (1) and (3) term by term to eliminate x

0 - 35y = - 35

- 35y = - 35 ( divide both sides by - 35 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

- 6x - 14(1) = 16

- 6x - 14 = 16 ( add 14 to both sides )

- 6x = 30 ( divide both sides by - 6 )

x = - 5

solution is (- 5, 1 )

6 0
2 years ago
How can you use number patterns to find the least common multiple of 120 and 360
baherus [9]
<span>Since 360 is a multiple of 120, it is automatically the LCM of this problem.

</span>
8 0
3 years ago
An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating. An independent testing firm has been contra
vovikov84 [41]

Answer:

The value of the test statistic is -2.64.

Step-by-step explanation:

The test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected(claimed) mean, \sigma is the standard deviation and n is the size of the sample.

An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating.

This means that \mu = 40.3

After testing 250 vans, they found a mean MPG of 39.9. Assume the standard deviation is known to be 2.4.

This means, respectively, that:

n = 250, X = 39.9, \sigma = 2.4

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{39.9 - 40.3}{\frac{2.4}{\sqrt{250}}}

t = -2.64

The value of the test statistic is -2.64.

7 0
3 years ago
If the value of a real number x satisfies -2x + 5= -1, then what is the value of 5x
Nitella [24]

-2x + 5 = -1

subtract 5 from both sides: -2x = -6

divide each side by -2: x = 3

plug in 3: 5(3)

multiply: 15

the value of 5x is 15.

8 0
3 years ago
Read 2 more answers
So can someone show there work in this one?
mihalych1998 [28]

just separate the ramge and domain

4 0
3 years ago
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