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Alex Ar [27]
3 years ago
15

If Sarah has 30 bills in her wallet worth $240, all fives and tens, how many of each bill does she have? help

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

Answer:

12 fives and 18 tens

Step-by-step explanation:

solving this we need 2 different equations

one for he total bills and one for the total money

x+y=30

that is total bills

5x+10y=240

combining both equations we can use elimination method and get

12 five dollar bills and 18 ten dollar bills

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Which angles are alternate exterior angles?
omeli [17]
A. 2 and 8
It’s the pair of angles on the outer side of each of those two lines but on opposite of the transversal.
4 0
2 years ago
The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy
r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7531

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

7 0
2 years ago
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
ipn [44]

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

8 0
2 years ago
Read 2 more answers
You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for
GREYUIT [131]
Its $800 because to find interest u can use the formula I=PRT p is principal which is 500 times r which is rate-15/100(=15%) times 4

so the interest is 500×15/100×4=300
then u add 300 to 500 because the interest adds more money to the loan
4 0
3 years ago
Solve for x: 3x − 2(6 − x) = 7x + 2(5 + x) − 6
Ugo [173]
X=-4 I hope this helps

3 0
3 years ago
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