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Sindrei [870]
2 years ago
7

Homework Help ASAP

Mathematics
1 answer:
Vlad [161]2 years ago
5 0

Answer:

3/4 gallon of purple paint left

Step-by-step explanation:

3/8 + 5/8 =8/8

he uses 2/8 so

8/8 - 2/8 = 6/8

3/4 (simplified)

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If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num
Hitman42 [59]

Answer:

The original fraction is \frac{6}{14}.

Step-by-step explanation:

Solution,

Let the fraction be'\frac{x}{y}'.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

\frac{x+2}{y+2}=\frac{1}{2}

On using cross multiplication method, we get;

2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

\frac{x-2}{y-2}=\frac{1}{3}

On using cross multiplication method, we get;

3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2

Now Substituting the equation 1 in equation 1 we get;

3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6

Now Substituting the value of x in equation 1 we get;

y=2x+2\\\\y=2\times6+2 = 14

Hence The original fraction is \frac{6}{14}.

4 0
3 years ago
Precious spends $4 on a magazine at a newsstand. When leaving the newsstand, she finds a quarter on the sidewalk. How much money
jeka57 [31]
Well now she has $4.25 lol. She had $4 then, now she has $4.25.
7 0
2 years ago
G(x)=-x^2/4 +7<br> Over which interval does g have a negative average rate of change?
Sholpan [36]

Answer:

x = 49

Step-by-step explanation:

1- Substitute g ( x ) = 0

Reduce

g ( x ) = - x 2/4 + 7

2- Move the variable to the left

0 = - x 1/2 + 7

3- Simplify the equation

x 1/2 = 7

4- Simplify Evaluate

( x 1/2 ) ² = 7²

5- Check the solution

x= 49

6- Simplify

0= - 49 2/4 + 7

7- x = 49 is a solution

0 = 0  

4 0
2 years ago
How many quarts and cups are in 2 gallons
MrMuchimi
There are 8.25 cups and quarts in two gallons
7 0
3 years ago
Read 2 more answers
Based on the information in the table, how much will Henry earn if he worked 7 hours?
777dan777 [17]

Answer:

D.

Step-by-step explanation:

4 0
2 years ago
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