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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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Please help quickly.Thanks :)
Klio2033 [76]
Multiply 2x-5y= -21 by 3 to make it 6x-15y= -63
Multiply 3x-3y= -18 by -5 to make it -15x+15y=90

This cancels the y’s out which leaves us with

6x=-63
&
-15x=90

x for 6x=-63 equals - 10.5 so x is - 10.5 and for -15x=90, x= -6

Then you plug in x into any equation you’d like to find y.

Let’s plug in - 10.5 into 6x... equation.

6(- 10.5)-15y=-63

63-15y= -63
-63 -63

-15y=0
y=0 and x= - 10.5. When you plug in this values it makes the equation true!

But the correct answer is the first one north. Sorry if I’m doing too much hahah


If I’m confusing here’s the right answer...


6x-15y= -63
-15x+15y=90


5 0
3 years ago
Help ASAP CLICK THE PIC
Jet001 [13]

Answer:

10

Step-by-step explanation:

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2 years ago
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Nutka1998 [239]

Answer:

5)m=11/10

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7)m=18.13

8)m=-26/9

BTW The M is an EXAMPLE

Step-by-step explanation:

4 0
2 years ago
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