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Vinil7 [7]
3 years ago
10

Terry has completed 15 homework problems, and Susan has completed 9. Terry is completing 10 problems per hour, and Susan is comp

leting 12 per hour. After how many hours will Terry and susan have completed the same number of problems?
Mathematics
1 answer:
Rainbow [258]3 years ago
7 0
Let the number of hour it took them to have completed the same number of problems be x, then
15 + 10x = 9 + 12x
12x - 10x = 15 - 9
2x = 6
x = 6/2 = 3

After 3 hours, they must have completed the same number of homeworks.
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The value of the 7 in 27,459 is how many times the value of the 7 in 40,735?
alukav5142 [94]

Answer:

10

Step-by-step explanation:

The 7 in 27,459 is in the <em>thousands</em> place.

The 7 in 40,735 is in the <em>hundreds</em> place.

Any digit in the thousands place has 10 times the value of the same digit in the hundreds place. (The multiplier is 1000, instead of 100.)

_____

In the base-10 number system, each digit location has 10 times the value of the location to its right. The value is determined by the place the digit occupies in the number. That is why it is called a place-value number system.

4 0
3 years ago
Read 2 more answers
Express 50 billion in scientific notation
DaniilM [7]

The answer to this is  50 x 10 the 9th power.

Hope this helps :)

3 0
3 years ago
M
Olegator [25]

Answer:

the answer is B

Step-by-step explanation:

4 0
3 years ago
Someone help please❤️ &amp; Thankyou!!
S_A_V [24]

Answers:

  • 300 = 12i+36s
  • i = 10
  • Yes it's reasonable
  • i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

6 0
3 years ago
A student is solving the problem x^2 + 10x+ ___ = 16 + ___ by the method of completing the square. What number should the studen
kvv77 [185]

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

5 0
3 years ago
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