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3 years ago

How do i do 3=4(x-2)+5-3x

Mathematics

2 answers:

tresset_1 [31]3 years ago

8 0

Answer:

x = 6

Step-by-step explanation:

multiply both terms in the parenthesis by the factor 4:

3 = 4(x-2) + 5 - 3x

3 = (4*x) - (4*2) + 5 - 3x

then simplify

3 = 4x - 8 + 5 - 3x

rearrange terms

3 = 4x - 3x - 8 + 5

subtract 3x from 4x: (4x - 3x = 1x, which is just x)

3 = 1x - 3

3 = x - 3

then add 3 to both sides:

6 = x

x = 6

SashulF [63]3 years ago

4 0

Answer:

6 = x

Step-by-step explanation:

first, we simplify the parenthesis by distributing the 4

3 = 4(x - 2) + 5 - 3x

3 = 4x - 8 + 5 - 3x

then, you add like terms

3 = x - 3

then add 3 to both sides to isolate x

6 = x

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There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q

Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

$\frac{nickel}{dime} = \frac{2}{3}$

$nickel = \frac{2}{3} dime$

$\frac{dime}{quarter} = \frac{2}{5}$

$quarter = \frac{5}{2}dime$

So,

$nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15$

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank

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3 years ago