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3 years ago

Set up an equation and use it to solve for X (6x + 3) 33°

Mathematics

1 answer:

Elodia [21]3 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

The angles of a linear pair are supplementary.

(6x +3)° +33° = 180°

6x = 144 . . . . . . . . . . . divide by °, subtract 36

x = 24 . . . . . . . . divide by 6

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Marcus is running around a track that is 3/8 of a mile long. If he runs around the track 4 1/2 times, how many miles will he hav

zepelin [54]

Answer:

1 and 11/16 miles

Step-by-step explanation:

running around once is 3/8 miles, 4 1/2 is the same as 9/2

9/2 * 3/8 = (9*3)/(2*8) = 27/16, or 1 and 11/16

3 0

3 years ago

Read 2 more answers

Grant paid 12 dollars for 4 baseball card packs. how many baseball card packs can he purchase of 21 dollars

timofeeve [1]

So, firstly, in order for us to know how much is each baseball card pack, we divide 12 dollars by 4 and we get 3. Therefore, each baseball card pack costs $3. So for 21 dollars, he can purchase 7 baseball card packs. 21 divided by 3 is 7. Hope this answers your question. Have a great day!

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3 years ago

The sales of a grocery store had an average of $7,000 per day. The store introduced several advertising campaigns in order to in

Sati [7]

Answer:

a.The advertising campaigns increased the average daily sales.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the advertising campaigns increased the average daily sales.

Then, the null and alternative hypothesis are:

$H_0: \mu=7000\\\\H_a:\mu> 7000$

The significance level is 0.05.

The sample has a size n=100.

The sample mean is M=7280.

The standard deviation of the population is known and has a value of σ=1000.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1000}{\sqrt{100}}=100$

Then, we can calculate the z-statistic as:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{7280-7000}{100}=\dfrac{280}{100}=2.8$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>2.8)=0.0026$

As the P-value (0.0026) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the advertising campaigns increased the average daily sales.

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3 years ago

Write the slope-intercept from of the equation of the line through the given point with the given slope through (-1,4), slope =

g100num [7]

The point-slope form is y - y1 = m(x - x1) where x1 ad y1 are the coordinates given and the m is the slope, which is given also. Plugging these in, we have
y - 4 = -2(x - (-1)), which simplifies to y - 4 = -2(x + 1)

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3 years ago

The perimeter of a triangle is 28 feet. One side of the triangle is 5 feet longer than the second side. The third side is 8 feet

Hitman42 [59]

side one is 5 side two is 10 and the third side is 13. 28 is not divisible by three so if one side i 5 ft longer and another side is 8 ft longer then you add them 5+8=13 then subtract 13 from the perimeter 28-13=15 then divide 15 by 3 and get 5 5 5. add 5 (5+5) (5+8).

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3 years ago