The correct answer would be c. hope this helps
The original width would be 19 and the original length would be 32.
Let w be the width. Then 2w-6 would be the length. However, after cutting a 3-inch square from each corner, both the width and length left over to fold into a box would be 6 inches smaller; thus the dimensions would be w-6 and 2w-6-6 or 2w-12.
Since the section cut out is 3 inches long, 3 will be the height of the box.
Volume is found by multiplying the length, width and height of the box; thus we have:
1014=(w-6)(2w-12)(3)
We multiply the binomials and have:
1014 = [w*2w-12*w-6*2w-6(-12)](3)
1014 = (2w²-12w-12w+72)(3)
1014 = (2w²-24w+72)(3)
1014 = 6w² - 72w + 216
When solving a quadratic equation, we want it set equal to 0. Subtract 1014 from each side:
1014-1014 = 6w² - 72w + 216 - 1014
0 = 6w² - 72w - 798
We will use the quadratic formula to solve this:

Since we cannot have a negative number for a measurement, 19 has to be the width; then 2(19)-6 = 32 would be the length.
Answer:
7 1/7
Step-by-step explanation:
For the problem:
5
/7
× 10 = ?
Convert any mixed numbers to fractions:
10 = 10
Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
5 × 10
7 × 1
=
50
/7
50 ÷ 7 = 7R1, therefore:
50
/7
= 7 1/7
The result is:
5
7
× 10 = 7 1/7
Answer:
>
Step-by-step explanation:
Assuming you mean 24/4 is 6 when simplified, 7 will be greater than it so use the term >
Answer:
56
Step-by-step explanation:
Let Davids's age = d
Let Marie's age = m
First part of the question tells us: d=4+(3m)
Second part of the question tells us: d=m+38
Sub in 'm+38' for d:
m+38=4+3m
3m-m=38-4
2m=36
m=18
d=m+38
=18+38
=56