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GrogVix [38]
3 years ago
9

Write each ratio in simplest terms.

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

a) 2:3

c) 4:1

e) 2:1

g) 10:1

i) 60:1

b) 24: 1

d) 8:1

f) 3:4

h) 100:1

j) 20:1

Step-by-step explanation:

a) 10:15 then divide each by 5 bc its a common denominator

c) 20:5 then divide each by 5 bc its a common denominator

e) 12:6 then divide each by 6 bc its a common denominator

g) 40:4 then divide each by 4 bc its a common denominator

i) 600:10 then divide each by 10 bc its a common denominator

b) 72:3 then divide each by 3 bc its a common denominator

d) 40:5 then divide each by 5 bc its a common denominator

f) 60:80 then divide each by 20 bc its a common denominator

h) 500:5 then divide each by 5 bc its a common denominator

j) 60:3 then divide each by 3 bc its a common denominator

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Answer:

2/3

Step-by-step explanation:

use rise over run. you may pick two y values and 2 x values and say (y2-y1)/(x2-x1). here I used (3-1)/(3-0)

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Solve system of equations<br><br> LaTeX: \begin{cases} -3x-4y=-14 \\ 9x+2y=22 \end{cases}
bekas [8.4K]

let's do so using substitution

\bf \begin{cases} -3x-4y=-14\\ 9x+2y=22 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{solving for "y" in the 1st equation}~\hfill }{-3x-4y=-14\implies -3x+14-4y=0} \\\\\\ -3x+14=4y\implies \cfrac{14-3x}{4}=\boxed{y} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting "y" in the 2nd equation}}{9x+2\left( \boxed{\cfrac{14-3x}{4}} \right)=22}\implies 9x+\cfrac{14-3x}{2}=22

\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( 9x+\cfrac{14-3x}{2}\right)=2(22)}\implies 18x+(14-3x)=44\implies 15x+14=44 \\\\\\ 15x = 30\implies x = \cfrac{30}{15}\implies \blacktriangleright x = 2\blacktriangleleft \\\\\\ \stackrel{\textit{since we know that }}{\cfrac{14-3x}{4}=y}\implies \cfrac{14-3(2)}{4}=y\implies \cfrac{14-6}{4}=y\implies \blacktriangleright 2 = y \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,2)~\hfill

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3 years ago
A single​ 6-sided die is rolled twice. the set of 36 equally likely outcomes is​ {(1,1), (1,2),​ (1,3), (1,4), left parenthesis
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{(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}

so, in total 6 out of total 36 combinations have a sum greater than 9

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3 years ago
What is the quotient of the rational expression below? 3x+1/x+8 ÷ x-7/5x
solong [7]

Answer:

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using a=a/1, convert the expression into a fraction

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calculate the product

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expand the fraction to get the least common denominator

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multiply the numbers

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write all numerators above the common denominator

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collect like terms

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write the factor as a product

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calculate the product

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expand the fraction to get the least common denominator

X  x  8x/X  x  5 + 5/5x + 5 x 8/5x

multiply the numbers

X  x  8x/X  x  5 + 5/5x + 40/5x

calculate the product

8x^2/5x + 5/5x +40/5x

write all numerators above the common denominator

8x^2 + 5 + 40/5x

add the numbers and that's the answer

8x^2 + 45/5x

(that was l o n g)

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