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Ivenika [448]
3 years ago
9

The amount of interest earned on a savings account varies directly with the amount of money saved. If $208 in interest is earned

on $6,500 of savings, how much interest will be earned on $8,000 of savings over the same time period?
Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0
8000/6500=x/208
Solve for x
X=256 earned on 8000
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Determine if the two figures are congruent and explain your answer using transformations.
Vinil7 [7]

Answer: They are the same size

Step-by-step explanation:

Why they are the same size is because you can tell because of how it transforms, and by how the it looks and you flip it in reverse, and also of how it looks so yes, it is congruet. So I hope it helps you :)

3 0
2 years ago
One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
o-na [289]

Hey there!

To find our answer, we need to set up a <u><em>system of equations. </em></u>Remember, <u><em>supplementary angles</em></u> equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

A=2B-15 (one angle is 15 degrees less than twice the other)

A+B=180

We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with <u><em>substitution.</em></u>

Let's solve with substitution!

2B-15+B=180

3B-15=180              We combine our Bs.

3B=195              We add 15 to both sides.

B= 65                We divide both sides by three.

Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.

180-65=115

Our two angles are 65° and 115°.

We can also check this with the original problem.

If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!

I hope this helps! Have a great day!

5 0
3 years ago
If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4?
Delicious77 [7]
Y=k/x
2.5=k/6
k=15

wheny x=4, y=15/4
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6 0
3 years ago
Pls help!!!!!!!!!!!!!!!!!!
pochemuha

Answer:

x = 8

Step-by-step explanation:

All sides are equal in terms of symmetry, such as the 5 and 5 opposite the angle 120 that repeats itself at the centre 3 times

6 0
2 years ago
Read 2 more answers
At a manufacturing company for medical supplies, machines produce parts used in highly specialized lasers. Company researchers a
vodomira [7]

Answer:

A) Increase the significance level to increase the probability of a Type I error

Step-by-step explanation:

According to the information of the problem we can say that the researchers have the difficulty with a test that is evaluating a machine, which works well but the test does not get to verify this information correctly, we have that the null hypothesis is that the new machine does not improve precision, so the risk of the researchers is to accept the hypothesis when it is false, what is called type II error, to avoid this, the level of significance should be increased, which in turn would increase the probability of type I error. , so the correct answer is A.

4 0
3 years ago
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