First, find a common denominator (preferably the LCD): 8 and 6 both factors of 24, which is also the LCM, so we'll use that.
Second, manipulate the numerators so that the fractions are equivalent to the ones you started-out with: In order to make 7/8 equal to a fraction that has a denominator of 24, we have to multiply the numerator by 3, since we multiplied the denominator by 3 to make it 24. We will do the same process for the fraction 4/6.
Thus far, we should have 21/24 plus 16/24.
Next, all we have to do is add the numerators together, and keep the denominator. You should end-up with 37/24. If your teacher doesn't want an improper fraction, we can simplify this by dividing 37 by 24, which gives us 1, and then subtracting 24 from 37 in order to find-out how many twenty-fourths we have left over. Since this is equal to 13, the mixed-number form of the answer would be 1 13/24 ("one and thirteen twenty-fourths").
Answer:
- Yolanda is 28
- Zachary is 21
Step-by-step explanation:
Let y represent Yolanda's age now, and let d represent their difference in ages. Then Zachary is now y-d years old.
When Yolanda was Zachary's age (now), Zachary was (y-d) -d. Yolanda is now twice that age:
y = 2(y -2d)
4d = y . . . . . . eliminate parentheses, add 4d-y
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When Zachary is as old as Yolanda is now, Yolanda will be y+d and the sum of their ages will be 63:
y + (y+d) = 63
2y + d = 63
Using the expression for y from above, we get ...
2(4d) +d = 63
d = 7 . . . . . . . . divide by 9
y = 4d = 28 . . . . Yolanda's current age
y-d = 21 . . . . . . . Zachary's current age
Answer:
21 tribbles on the 7th night
Step-by-step explanation:
every night 3 tribbles appear meaning that the tribbles spawn rate is y=3x
y= number of tribbles
x= number of nights
Answer:
C. 248°
Step-by-step explanation:
The arc measure of a full circle is 360 degrees.
Arc XZ measures 112 degrees.
Arcs XZ and XWZ add to a full circle, or 360 degrees.
The measure of arc XWZ = 360 degree - 112 degrees = 248 degrees
1220/8= 152.5
So 8 can go into 1220 152.5 times
