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Tresset [83]
3 years ago
5

Write 120+45 as a product of their GCF and another sum

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

120|2\\.\ 60|2\\.\ 30|2\\.\ 15|3\\.\ \ 5|5\\.\ \ 1|\\\\120=2\cdot2\cdot2\cdot\boxed{3}\cdot\boxed{5}\\\\45|3\\15|3\\.\ 5|5\\.\ 1|\\\\45=\boxed{3}\cdot3\cdot\boxed{5}\\\\GCF(120,\ 45)=\boxed{3}\cdot\boxed{5}=15\\\\120:15=8\\45:15=3\\\\120+45=15\cdot8+15\cdot3=15(8+3)

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Answer:

There are two bricks in the bag.

Step-by-step explanation:

1 1/3 can be written as 4/3 bricks in a bag.

(4/3)/(2/3) = 2

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The function f(x) varies directly with x, and f(x) = 45 when x = 9.
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Answer:

Option C = 15

Step-by-step explanation:

In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>

In the given question we know that <em>f(x) = 45</em> when x=9<em>, </em>which translates as

f(x=9) = 45

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To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

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Since we now know our function we can plug in the value for x=3 and solve for f(x=3) as follow:

f(x=3)= 5*3

f(x=3) = 15

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Looking at the given options in the question we can conclude that the correct answer is Option C = 15

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3 years ago
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  1. First you divide 8 by 2.
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