A number is multiplied by 7. Then 29 is added to the product. This sum is then divided by 2. The answer is 46. What was the original number? Student's solution - The answer was 46. If this was the result of dividing by 2, the number at this point was 92. If this was the result of adding 29, the number at this point was 63. If this was the result of multiplying by 7, the original number was 9.

Solve this problem using a similar strategy.

A number is multiplied by 10. Then 32 is added to the product. This sum is then divided by 4. The answer is 28.

What was the original number?

Answers

Answer 1

Answer: For the student's solution, the student started with the final answer and then worked backwards.
Start your solution with
The answer was 28.

Working backwards, the sentence in the question after the answer is "This sum is then divided by 4."
Use the same thing as the student's solution, but switch out the different numbers.
If this was the result of dividing by 4, the number at this point was 112. ( $28*4=112$ )
The next sentence in the question then says "Then 32 is added to the product."
Going off of the student's solution,
If this was the result of adding 32, the number at this point was 80. ( $112-32=80$ )
Again looking at the question, "A number is multiplied by 10."
Going off of the student's solution,
If this was the result of multiplying by 10, the original number was 8. ( $(80)/(10)$ )

The answer is 8.

Related Questions

Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60 detergent and 40% water in a 5 gallon buckets. To make this he combined some 80/20 mixture with some pure water in each 5 gallon bucket. How much gallons of pure water does Manny add to each 5 gallon bucket.
Help please thank you!!
Simplify -(3x - 4y) +x by combining like terms
2. What is the slope? Explain your answer.2 points4(2, 3)2 +4-2.2.4 x(2,-2)
Solve for a and b(6a-3)=(7b-10)

Rewrite the sum of 12 and 8 as a product of the LCM of the two numbers and another sum.

Answers

Answer:

2 or 4

Step-by-step explanation:

Solve for x: ax2 - 2ax + (a + 1) = 0

Answers

Answer

x=a 1/2+i / a 1/2

Step-by-step explanation:

Marco is driving to the grand canyon. his distance from the grand canyon decreases 150 miles every 3 hrs. After 4 hrs, his distance from the Grand Canyon is 200 miles. Marco's distance from the Grand Canyon in miles, y, is a function of the number of hours he drives, x. Find the initial value.

Answers

Answer:

The initial value is 400.

The situation is described by a linearfunction of the form $y=mx+b$ where:

m = slope/rate of change

b = initial value

In this case, the distance y is decreasing 150 miles every 3 hours. So the rate of change (m) is equal to:

-150/3 = -50 miles per hour

Now we know that after 4 hours, his distance is 200 miles. We can plug in x = 4 and y = 200 into the linear equation.

200 = -50(4) + b

200 = -200 + b

400 = b

Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?

Answers

Answer:

y = 5x + 10

Step-by-step explanation:

using the formula y = mx + b you can easily find the answer.

where

m = the rate of change

b = constant

x = the independent variable

Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.

Since he will be adding $5.00 to the account every month we know that this is the rate of change.

the variable x will change depending on the number of months passed.

Therefore we can create the equation:

y = 5x + 10

A machine can produce 250 items per hour. If the operator of the machine works 40 hours per week, how many items are made by this machine in one year?

Answers

52 weeks per year

250 times number of hours=number of items produced

number of hours=number of hours worked per week times number of weeks
number of hourse=40 times 52=2080 hours

250 times 2080=520000 items

Anybody can help on anyone of these please quick !!!

Answers

19) B
20) D
21) A
22) B
23) C
24) C

Other Questions

140% of what number is 14?

Please answer ASAP! Your answer MUST include an explanation in order to receive points and the Brainliest answer. Thank you.

If given f(x) = x 4 and g(x) = –2x2 3x – 1, what is (f – g.(x)? a. (f – g.(x) = –2x2 4x – 3 b. (f – g.(x) = –2x2 – 2x 5 c. (f – g.(x) = 2x2 2x 5 d. (f – g.(x) = 2x2 – 2x 5

3(x - 4) + 6 = 5(x - 1) + 1 solve for x and show work