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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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Answer:

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5 0
3 years ago
(13x2+9x-4)-(12x2-2x+6)<br> add or subtract the polynomials
bearhunter [10]

Answer:

x^{2} +11x-10

Step-by-step explanation:

(13x^{2} +9x-4)-(12x^{2} -2x+6)

Remove the brackets and multiply the minus sign through all the numbers in the second polynomial

13x^{2} +9x-4-12x^{2} +2x-6

Rearrange in the highest order

13x^{2} -12x^{2} +9x+2x-4-6

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x^{2} +11x-10

6 0
3 years ago
John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest t
mart [117]

John invested the money at simple interest for 4.22 years.

We have,

Invested amount = $ 4500

Rate of interest = 5.5 %

Time = t years

Maturity value = $ 5545

So,

Total interest earned =  $ 5545 - $ 4500 = $ 1045

And,

Simple interest = (Principal × Rate × Time ) / 100

So, Using the mentioned formula,

1045 = ( 4500 × 5.5 × t ) /100

1045 = 45 × 5.5 × t

⇒

t = (1045) / (45 × 5.5)

⇒ t = 4.22 years

Therefore, John invested the money at simple interest for 4.22 years.

Learn more about simple interest here:

brainly.com/question/22621039

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6 0
2 years ago
When the volume of a gas is
Fudgin [204]

Answer: The initial volume is 593.76mL

Step-by-step explanation:

As you do not say anithing about the pressure, i guess that the pressure remains constant.

If the gas is an ideal gas, we have:

P*V = n*R*T

where P is pressure, n is number of moles and R is a constant.

Now, initially we have:

P*Vi = n*R*315°C

finally we have:

P*825mL = n*R*452°C

Now we can take the quiotient of those two equations and get:

(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)

Now we have:

Vi/852mL = 315/452

Vi =  (315/452)*852mL = 593.76mL

So when we expand the gas at constant pressure, we increase the temperature.  

3 0
3 years ago
What is the value of u? 6.4u−5.1u=−3.25 Enter your answer in the box. u=
AnnZ [28]

i am not shure what the answer is to this?

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