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Yakvenalex [24]
3 years ago
10

Which expression represents the prime factorization of 108?

Mathematics
2 answers:
bekas [8.4K]3 years ago
8 0

Answer: A. 3 x 3 x 3 x 4

Step-by-step explanation: 3 x 3 = 9 x 3 = 27 x 4 = 108

pantera1 [17]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Edge 2020

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Hailey is 2 years younger than her sister. If Hailey is h years old, which equation represents the age of her sister, s?
butalik [34]

Answer:

S=H+2

Step-by-step explanation:

OK, so hailey is the variable H. And she is 2 years younger than her sister.

What is the age of her sister?

So we know it has to be, hailey's age + something? = age of her sister.

what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.

H+2=S

OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.

6 0
3 years ago
Read 2 more answers
Which expression is the factored form of 2/3x+4 ?
frosja888 [35]

Answer:

Option C.

Step-by-step explanation:

The given expression is

\dfrac{2}{3}x+4

We need to find the factored form of the given expression.

The given expression can be rewritten as

\dfrac{2}{3}x+(\dfrac{2}{3}\times \dfrac{3}{2})\times 4

\dfrac{2}{3}x+\dfrac{2}{3}(6)

It is clear that \frac{2}{3} is common.

Taking out common factors, we get

\dfrac{2}{3}(x+6)

It is the factored form of the given expression.

Hence, the correct option is C.

7 0
3 years ago
Read 2 more answers
Greta currently works 45 hours per week and earns a weekly salary of $729. She
marissa [1.9K]

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

4 0
2 years ago
Solve the equation. Round your answer to the nearest hundredth.<br> 47 +3.81k = -41
Harman [31]

Answer:

i have no idea but if i had to guess it would be around   -3.00k or -4.00k

Step-by-step explanation:

4 0
3 years ago
G(x) = 3x + 1; Find g(-8)
gregori [183]

Answer:

g(-8) = -23

Step-by-step explanation:

g(x) = 3x + 1    <em>Plug in g(-8)</em>

g(-8) = 3(-8) + 1  <em>Multiply 3 by -8</em>

g(-8) = -24 + 1   <em>Add 1 to -24</em>

g(-8) = -23

5 0
3 years ago
Read 2 more answers
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