Answer:
<em>3/8 of the box cereal</em>
Step-by-step explanation: First you must convert 3/4, 1/8, and 1/4 so they have to same denominator. Four can go into eight two times, so you must multiply the numerator by two. So your new fractions are 6/8, 1/8, and 2/8. Now you must subtract 1/8 and 2/8 from 6/8. When you subtract 1/8 from 6/8 you get 5/8. Now subtract 2/8 from 5/8 and you get <em>3/8. </em>That is how you get the answer, I hope this helps you.
We have this equation.
A²+B²=C²
We have bits of information that'll help us simplify the equation so there's only one variable.
The longer leg, A, is 3 inches more than the length of the shorter leg, B, tripled.
A=3B+3
Let's plug that in.
(3b+3)²+B²=C²
The hypotenuse, C, is 3 inches less than four times the length of the shorter leg. C=4B-3
Let's plug that in.
(3b+3)²+B²=(4B-3)²
Let's solve.
9B²+18B+9+B²=16B²-24B+9
10B²+18B+9=16b²-24b+9
Let's subtract 9 from both sides.
10b²+18b=16b²-24b
Let's subtract 10b² from both sides.
18b=6b²-24b
Let's add 24b from both sides.
42b=6b²
Let's divide each side by 6.
7b=b²
With this, you can tell that b is 7 since it times 7 equal itself squared.
The shorter leg is 7 inches.
Now, let's look back at the bits of information.
The longer leg of a right triangle is 3 inches more than the length of the shorter side tripled.
3(7)+3=24
So, the longer side is 24. We can either use the other information or plug it into the equation. We can do both.
The hypotenuse is 3 less than four times the shorter leg.
4(7)-3=25
7²+24²=
49+576=625
√625=25
So, the length of the hypotenuse is 25 inches.
You can solve an easy equation in your head by using the multiplication table.
In seven years her mother will be 38 +7 = 45 years old.
She will be 5 times as old, so divide 45 by 5: 45/5 = 9. Elaine will be 9 years old then, so she is 9-7 = 2 years old now.
