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yuradex [85]
3 years ago
12

Hi what is the answer for this?

Mathematics
2 answers:
saw5 [17]3 years ago
5 0
This is a common factor problem.

Pencils come in a pack of 12
Erasers come in a pack of 10

First, break the number into their prime factors(the idea is that we will break the number down into its smallest multiples, which are prime numbers):
10 = 2 * 5
12 = 2 * 2 *3

So now we take the unique multiples of each number, and when we multiply them together, we will get the smallest number that both 10 and 12 can be divided into(this is what the problem is asking for)
We have (2*2*3) that comes from 12, and the only unique number that comes from the 10 is (5)
So now, we multiply:
2*2*3*5=60
However, this isn't exactly out answer. Now we have to divide our answer by the number of each this in the pack to know how many packs to buy.
60/12=5 packs of pencils
60/10= 6 packs of erasers

I hope this helps. Let me know if you have any questions!!
Troyanec [42]3 years ago
3 0
60/10 60/12 (c) that is the answer
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Help please, just number 3, thats all im asking, thanks.
Bezzdna [24]

The rectangle that has area 400 has width 10, so its length is 40.

A = LW; L = A/W = 400/10 = 40

The length is 10 + 0.2 = 10.2. The width is 10 + 2 = 12

The multiplication is 10.2 * 12

40.2 * 12 = 40 * 10 + 0.2 * 10 + 40 * 2 + 0.2 * 2

40.2 * 12 = 400 + 2 + 80 + 0.4

40.2 * 12 = 482.4

4 0
3 years ago
Avram borrows $14,500 at 5.4% simple interest to open a small business. His bank allows him 9 years to pay back the loan. How mu
Elis [28]

Answer:

<em>Avram will have to pay $7,047 simple interest</em>

Step-by-step explanation:

<u>Simple Interest</u>

Definition: Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=A.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Avram has a principal of P=$14,500 at a simple rate of r=5.4%=0.054 for t=9 years, thus:

I=14,500*0.054*9=7,047

I=$7,047

Avram will have to pay $7,047 simple interest

6 0
3 years ago
1000 students participated in a survey on a university campus about their TV watching habits. All
nasty-shy [4]

Hi, you've asked an unclear question. However, I inferred you may want to know the actual number of students represented by the percentages of 27%, and 61%.

<u>Explanation:</u>

Finding percentage usually involves performing two operations; multiplication and division.

First, all (100%) of respondents said they watched TV at least at some point during the day.

Next, 27% of respondents stated that they only  watched television during prime time hours, in which the actual number of students represented by the percentage is calculated by dividing 27 by 100 and multiplying by 1000 =

\frac{27}{100} * 1000 = 270.

Finally, we are told 61% of respondents stated that they spend prime time  hours in their dorm rooms. The actual number of students represented by the percentage is calculated by dividing 61 by 100 and multiplying by 1000 =

\frac{61}{100} * 1000 = 610

5 0
3 years ago
A 5 person sports team has an average 40 yard dash time of 5. 7 seconds. When a 6th player is added to the team, the new mean is
DanielleElmas [232]

The new player's personal time  is 4.5 seconds.

<h3>What is the new player's personal time?</h3>

The first step is to determine the total time the 5 persons complete the dash.

Total time = 5 x 5.7 = 28.5 seconds

The second step is to determine the total time for the 6 people to complete the dash.

Total time = 6 x 5.5 = 33 seconds

The third step is to find the difference of the time in the previous two steps: 33 - 28.5 = 4.5 seconds

To learn more about mean, please check: brainly.com/question/25842202

6 0
2 years ago
14+y = 3y+2, Find y with a step-by-step explanation.
mrs_skeptik [129]

Answer:

y= 6

Step-by-step explanation:

1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2

2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12

                                                     -14       -14

3. Subtract 3y from both sides: y=3y-12-> y-3y= -12

                                                -3y  -3y  

4. Combine like terms: y-3y= -12-> -2y= -12

                                      1-3 keep the y

5. Divide both sides by -2: -2y= -12-> y= 6

                                              /2    /2

6. So, you're left with y= 6

6 0
2 years ago
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