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NISA [10]
3 years ago
13

What is the greatest common factor of 8x and 40?

Mathematics
2 answers:
Evgen [1.6K]3 years ago
7 0
ANSWER

The greatest common factor is
8

EXPLANATION

We want to find the greatest common factor of
8x \: and \: 40.



We use prime factorization to find the greatest common factor of
8x \:  \: and \:  \: 40.


The prime factorization of 8x is,

8x =  {2}^{3}  \times x

The prime factorization of 40 is

40 =  {2}^{3}  \times 5



The greatest common factor of 8x and 40 is

{2}^{3}  = 8
satela [25.4K]3 years ago
3 0
The GCF of 8x and 40 is 8.
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Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
White raven [17]
A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
7 0
3 years ago
Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How
Verdich [7]
She took 7 boxes of carrots and 9 boxes of potatoes home.

75 boxes of carrots - 68 boxes of carrots = 7 boxes of carrots.

80 boxes of potatoes - 71 boxes of potatoes = 9 boxes of potatoes.
3 0
2 years ago
Read 2 more answers
O A PQR is reflected over the x-axis. What are the<br> coordinates of O'?
topjm [15]

Answer:

(8,-2)

Step-by-step explanation:

When reflecting something across the X axis the y axis coordinate is the one that will change to put the position further up or down.  In this case we are moving it down to the same amount below the axis that it is now above it.  That means that since it is currently 2 above the X axis it would then be 2 below the X axis making it at -2 so the coordinates would be (8,-2)

I hope this helps and please don't hesitate to ask if there is anything still unclear!

7 0
3 years ago
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Can you answer this in picture form, please?
babunello [35]

Answer:

It may be Arrow diagram yes or not

8 0
2 years ago
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Can someone please help me please?
jeka57 [31]
B because if you take it it would be b
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2 years ago
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