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2 years ago

What is the value of x in the linear equation below? 4+3x-ax=9-7x+bx

Mathematics

1 answer:

Furkat [3]2 years ago

7 0

Answer:

x = 5/(10 - a - b)

Step-by-step explanation:

Solve for x:

4 + 3 x - a x = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = x (b - 7) + 9

Subtract (b - 7) x + 4 from both sides:

x (10 - a - b) = 5

Divide both sides by 10 - a - b:

Answer: x = 5/(10 - a - b)

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What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

$\frac{2}{3} = \frac{6}{x}$

2*3 = 6, we multiply top and bottom of fraction by 3

$\frac{2*3}{3*3} = \frac{6}{9}$

So value of x=9

4 : 7 = x : 42 ,

$\frac{4}{7} = \frac{x}{42}$

7*6 = 42, we multiply top and bottom of fraction by 6

$\frac{4*6}{7*6} = \frac{24}{42}$

So value of x=24

2x : 48 = 3 : 12,

$\frac{2x}{48} = \frac{3}{12}$

\frac{3}{12}[/tex] = $\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}$

2x= 12, so x= 6

12 : 15 = x : 20

$\frac{12}{15} = \frac{x}{20}$

$15 * \frac{4}{3} = 20$ ,

we multiply top and bottom by 4/3

$12 * \frac{4}{3} = 16$

So value of x=16

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2 years ago

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Can a prime number be a multiple of any other number except itself? Explain why or why not.

frozen [14]

Answer:No it cannot,

Step-by-step explanation:

A prime number is any number that is pime doesnt matter what number as long as it is a prime number it can be a multiple techically,but not offen depends but in this case most likely not

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3 years ago

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Which of the following ratios is equivalent to 24:36?

Ksju [112]

Answer:

D, 20:30

Step-by-step explanation:

At first glance, this does not seem like the correct ratio. But I'll spare you a long intro and get into it:

20:30: Divide both of them by 10

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2 x 12:3 x 12

24:36

Hope this helps!

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2 years ago

I need this ASAP plz

Sidana [21]

Answer:

5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR

250*(1.0125)^20=$320.51 at the end of 5 years

Step-by-step explanation:

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3 years ago

A rectangular-prism-shaped toy chest is 2m by 1m by 1m. A shipping crate is packed with 18 of these toy chests. There is no extr

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2*1*1= 2 m^3 per chest

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