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Nikolay [14]
3 years ago
10

Express the following ratio in lowest terms. 105 knives to 120 spoons

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Answer:

the ratio in lowest terms is: 7 knives to 8 spoons = 7/8

Step-by-step explanation:

First express the ratio 105 knives to 120 spoons as the quotient:

\frac{105}{120}

next write each of the numbers in prime-factor form:

105 = 3 x 5 x 7

120 = 2 x 2 x 2 x 3 x 5

Now notice that when we express the quotient sing the factor form of the numbers, the factor 3, and 5 can be cancelled out because they appear in numerator an in denominator at the same time. therefore our quotient becomes:

\frac{105}{120} =\frac{3*5*7}{2*2*2*3*5} =\frac{7}{2*2*2} =\frac{7}{8}

Therefore the ratio in lowest terms is: 7 knives to 8 spoons

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Find the area of a triangle whose sides are 3cm,6cm and 7cm
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Answer:

See below

Step-by-step explanation:

It is NOT  a RIGHT triangle so you <u>cannot use</u>   1/2 b * h

 but you can use Heron's Formula

Area = sqrt( s (s-a)(s-b)(s-c) )

s = semi- perimeter =   (3+6+7)/2 = 8

Area = sqrt ( 8 ( 8-3)(8-6)(8-7) )   = sqrt ( 80) = 8.9 cm^2

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11 months ago
What is the answer to this?
rusak2 [61]

Answer:

x= -1, y = -1

Step-by-step explanation:

-16x +24y = -8

16x -8y = -8

16y = -16

y=-1

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2 years ago
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zane owns 6 stripe t-shirts,8 white t-shirt,and 4 solid coloured t-shirts.if zane picks a t-shirt at random,what is the probabil
I am Lyosha [343]

Answer:

2/3

Step-by-step explanation:

Find the total amount of shirts: 6 + 8 + 4 = 18

Find the total amount of white and solid colored shirts : 8 + 4 = 12

Put the total amount of white and solid colored shirts over the total amount of shirts: 12/18

Simplify 12/18: 2/3

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Which expression is equivalent to...
olga_2 [115]

Answer:

8m^5

Step-by-step explanation:

Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)

This gives us the fraction: \frac{24m^7}{3m^2}

We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: \frac{24 * m * m * m * m * m * m * m}{3 * m * m}

Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:

\frac{24 * m * m * m * m * m}{3} which can be simplified in exponent form as: \frac{24m^5}{3}, now all we have to do is divide the 24 by the 3, to get 8

This gives us the answer: 8m^5

6 0
1 year ago
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