What is the sum of the solutions of the 2 equations below? 8x = 12 2y + 10 = 22​

Answers

Answer 1
Answer:

Answer:

7.5

Step-by-step explanation:

12/8 = 1.5; 12/2 =6; 6 + 1.5 = 7.5

Answer 2
Answer:

Answer:

7.5 or 7½

Step-by-step explanation:

8x÷4 = 12÷4

2x = 3

x = 3/2 = 1.5

2y + 10 = 22

2y = 12

y = 6

1.5 + 6 = 7.5 = 7½


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If h(x) = 6 – x, what is the value of (hOh) (10)

Answers

h(h(10))---> h(-4)---->10 ......hOh(10)=10

Final answer:

The value of (hOh)(10) when h(x) = 6 - x is found by firstly evaluating h(10) to get -4, and then evaluating h(-4) to get 10. So the answer to the question is 10.

Explanation:

The question is asking for the value of the function (hOh)(10) when h(x) = 6 - x. This notation represents the composition of the function h with itself evaluated at x = 10. So we first apply the function h to the input 10, and then apply h again to the resulting output. In mathematical terms, this operation is written as (h∘h)(10).

First, we find the value of h(10), by plugging x = 10 into the function h(x) = 6 - x. This gives h(10) = 6 - 10 = -4.

Next, we find the value of h(h(10)), by plugging the output of the previous step (-4) into the function as the new input. This gives h(h(10)) = h(-4) = 6 - (-4) = 10.

So, the value of (hOh)(10) is 10.

Learn more about Composition of Functions here:

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Can 24 7ths be equal to another fraction or be simplified in another way

Answers

To check if an improper fraction like like 24/7 can still be simplified, you have to find similar factors that can divide both the numerator (24) and the denominator (7). However in this case, there are no longer any common factors that can divide both of them. However, improper fractions can be represented in a mixed fraction form. 

A mixed fraction is made up of a whole number and a fraction. To change an improper fraction to a mixed fraction, divide the numerator by the denominator. The quotient should be a whole number and a remainder. The whole number in the quotient would be the whole number in the mixed fraction, and the remainder would be the numerator.

In the case of 24/7, dividing it would yield us 3 remainder 3. Therefore, the mixed fraction would be:

3 3/7

Connor is a prospective student who has been accepted for a $50,000 student loan from two different loan providers. He wants to select the student loan with the lowest total cost. The first loan is a 10-year loan at 4% and the second loan is a 20-year loan at 3%. Both loans compound the interest monthly. Which student loan should Connor select?

Answers

Answer:

To figure out which loan has the lower total cost, we need to calculate the total repayment amount for both loans.

The formula to calculate the monthly payment for a loan is:

P = [r*PV] / [1 - (1 + r)^-n]

where:

P is the monthly payment

r is the monthly interest rate (annual rate / 12)

PV is the present value, i.e., the loan amount

n is the number of payments (months)

For the first loan:

r = 4% / 12 = 0.00333 (approximately)

n = 10 years * 12 = 120 months

PV = $50,000

Plugging these numbers into the formula, we get the monthly payment for the first loan.

For the second loan, we do the same calculation, but with r = 3% / 12 and n = 20 * 12.

After we have the monthly payments, we multiply each by the total number of payments (n) to get the total repayment amount for each loan. The loan with the lower total repayment amount is the one Connor should select.

I hope that helps

Answer:

Connor should select the 10-year loan because it has a lower total cost than the 20-year loan.

Step-by-step explanation: To calculate the total cost of each loan, first find the monthly payment of the loans. Use the formula below to find the monthly payments, where P is the monthly payment, L is the principal amount of the loan, i is the interest rate, and n is the duration of the loan.

P=L×i1−(1+i)−n

The loan amount needed, L, is $50,000 for both loans. Since the interest rate is compounded monthly, the interest rate offered is 4% per year or 0.0412 per month. The time period is 10 years or 120 months. Substituting the values into the formula and converting the interest rate to the monthly rate yields the following.

PP=50,000×0.04121−(1+0.0412)−120≈$506.23

Multiply the monthly payment by the number of months in the loan, 120, to determine the total cost of the loan.

$506.23×120=$60,747.60

Now calculate the monthly cost of the 20-year loan.

PP=50,000×0.03121−(1+0.0312)−240≈$277.30

$277.30×240=$66,552

Since the total cost of the 10-year loan, $60,747.60, is less than the total cost of the 20-year loan, $66,552, Connor should select the 10-year loan.

Your answer:

Connor should select the 20-year loan because it costs less than the 10-year loan.

The 20-year loan has a total cost of $66,552 while the 10-year loan has a total cost of $60,747.60.

Delia can buy 3 sweatshirts for a total of $39. How much would it cost if she were to buy 7 sweatshirts?​

Answers

Answer:

7 sweatshirts costs $91

Step-by-step explanation:

Well, first we have to find how much each sweatshirt costs alone. The sweatshirts are $13 each. So, if we multiply 13 by 7, you'll get the amount that 7 sweatshirts costs.

I'm 97% sure this is correct

Hope this helped! Please mark brainliest!

you are planting a rectangle garden. it is 5 feet longer than 3 times its width. the area of the garden is 250 feet. find the dimensions

Answers

l=3w+5
2(3w+5)+2w=250 (both w and l have to be multiplied by two because there are two sides)
This can be simplified to: 6w+10+2w=250
Now subtract 10 from both sides and add the two w's together.
This makes: 8w=260
Divide both by 8: 32.5-w=32.5
32.5 times 2=65
250-65=185, divided by 2=92.5

Length=92.5
Width=32.5

hope this helped!

URGENT!!!!!!!!!!!!!!!!!! QUESTION BELOW

Answers

Answer:

C' = (-6 , -6)

D' = ( -9 , -6)

Step-by-step explanation:

scale factor of 3

multiply the points you have by 3

(x,y) * 3

the new values for c' and d' are below

c' = (-2, -2) * 3

c' = (-6,-6)

d' = (-3,-2) *3

d' = (-9,-6)