Since no value is given to Eva, we'll call her x. Justin, then, is 7.50+x. That leaves Emma, who would be Justin (7.50+x) -12. If we add them all together we get 63. So our equation is
x + (7.50+x) + (7.50+x)-12 = 63
Combine like terms
x+x+x + 7.50+7.50-12 = 63
3x + 3 = 63
3x = 60
x = 20
Since we said Eva is x then Eva has 20 dollars.
Justin is 7.50 + x so 7.50+20=
$27.50
Emma is Justin - 12 so 27.50-12= $15.50
Let's check our answer...
15.50+27.50+20 = 63
63=63
It checks!
Step-by-step explanation:
Add all of the numbers together
7 + 9 + 0 + (-9) + (-7)
simplify it down to:
(7+9+0)= 16
-9 + (-7)= - 16
So, -16 + 16 = 0
then divide 0 by 5 to get the answer of 0
To find the mean you have to add all of the numbers together and then divide by the amount of numbers that you have.
The figure shows a right triangle at each corner with legs 3 and b and hypotenuse 4. The Pythagorean theorem tells you the sum of the squares of the legs is equal to the square of the hypotenuse:
3² + b² = 4² . . . . . . put the numbers into the Pythagorean formula
9 + b² = 16 . . . . . . . evaluate the squares
b² = 16 - 9 = 7 . . . . subtract 9 to isolate the variable
b = √7 . . . . . . . . . . undo the square operation by taking the square root
<span>Solution can be gained by using "Product of means = Product of extremes" concept. So the information we have is 23 miles on 1 gal and 135 mile on 'x' gal.
23 : 1 :: 135 : x
As per Product of means = Product of extremes,
23 multiplied x = 135 multiplied by 1.
And x will be 135 divided by 23 which is 5.86 gal
Now, we have to convert gal to liters, 1 gal = 3.78 liters,
so 5.86 gal = 5.86 multiplied by 3.78, which is 22.15 liters.
Hence, 22.15 liters of gasoline are needed for a 135 mile trip</span>
126 1/4 = 126 3/12 = 125 15/12
- 78 2/3 = - 78 8/12 = - 78 8/12
--------------------------------------...
47 7/12
1) Find the lowest common denominator (LCD) for the fractions. In this case, 12 is the LCD.
2) Rewrite the fractions 1/4 and 2/3 using 12 as the denominator (second column). You get 3/12 and 8/12.
3) Since it's confusing to subtract 8/12 from 3/12, you need to borrow one from the 126. Doing so is the same as taking 12/12 from 126. This changes to 125, and the 12/12 adds to the 3/12 making it 15/12.
4) Subtract 8/12 from 15/12 to get 7/12.
5) Subtract 78 from 125 to get 47.
6) The answer is 47 7/12.