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Oliga [24]
3 years ago
11

Daria's goals is to run 7 miles each weekend.she ran 3 1/3 miles on Saturday and 3 3/4 miles on Sunday. By how much did she beat

her goal
Mathematics
2 answers:
Vinvika [58]3 years ago
6 0
She beat her goal by 1/12 of a mile.

3+3=6
1/3 multiply both numbers by 12. that gives you 4/12
3/4 multiply both numbers by 12. that gives you 9/12
add the numerators together. that gives you 13/12
12/12=1, so 13/12= 1 1/12

nasty-shy [4]3 years ago
3 0
You add using the common denominator, 3 3/4 and 3 1/3 then you should get 7 1/12, to find the total miles. she ran 7 and 1/12th miles, so she ran a 12th mile over her goal.
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6 0
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PLEASE HELP AND SHOW WORK!!
Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

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NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

7 0
3 years ago
Y=2x-3<br> y=x+2 system of equations
irina1246 [14]

Answer:

x = 5

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Step-by-step explanation:

<em>Since they are both equal to </em><em>y</em><em>, we can set them equal to each other.</em>

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<em>Combine like terms and isolate the </em><em>x</em><em>.</em>

x = 5

<em>Plug in the x to either equation to get the value of </em><em>y</em><em>.</em>

y = (5) + 2

y = 7

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