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svetlana [45]
3 years ago
10

Pls follow the steps and show work

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0
1st box: 2a (subtract 2a from both sides)
2nd box: 3 (add 3 to both sides)
3rd box: 10 (add 7+3)
4th and 5th box: 2 (divide both by 2)
6th box: 5 (10/2=5)


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Prove theorems about triangles
Aleks04 [339]
  • Answer & step-by-step explanation:

<em>a) impossible</em>

<em>b)  the sum of the angles in a triangle is 180°</em>

<em>63° + 59° + 57° = 179°</em>

3 0
3 years ago
a conference will take place in a large hotel meeting room. The organizers of the conference have created a drawing to determine
Bogdan [553]

Answer:

313 ft

Step-by-step explanation:

If 12in = 12 ft

313in = x

= 313 ft

4 0
3 years ago
The average cost of tuition plus room and board at small private liberal arts colleges is reported to be less than $18,500 per t
lys-0071 [83]

Answer:

The null and alternative hypothesis for this study are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624

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

P-value=P(z

As the P-value (0.004) 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 average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

3 0
3 years ago
Using the Avalanche Method and the following debt, how much of the monthly $700 should be paid to Creditor #3?
Zanzabum
Creditor 3 should receive only the minimum payment of $25. In the avalanche method, the debtor pays only the minimum payments, then pays the rest of their money to the creditor with the highest interest rate. Creditor 2 has the highest interest rate.
3 0
3 years ago
Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the n
Alchen [17]

Answer: Andy covers all the walls of his kitchen using 6 rolls of a wallpaper.

To Find:

Number of rolls used per wall.

Solution:

Since, we know that the shape of a kitchen is a cuboid.

And a cuboid has total 6 faces, with 4 walls, one roof and one floor.

So, total number of walls in Andy's kitchen = 4

Now, it is given that he uses 6 rolls of wallpaper to cover 4 walls completely.

In order to find the number of rolls used per wall, we'll have to divide the total number of rolls used with the total number of walls.

Number of rolls used per wall =

                                                 So, 1.5 rolls are used to cover one wall.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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