To find 10per cent just divide by 10, the answer is 8
Answer:
35
Step-by-step explanation:
<u>7x2</u>+21
<u>14+21</u>
35
*The underlined problems is what you do first*
Answer:
2 to the power of 6 is 32
17to the power of 2 is 289
Step-by-step explanation:
Exponents are just multiplying the same number multiple times. so 2 to the power of 6 is 2*2*2*2*2*2. and 17 to the power of 2 is 17*17 = 289. to the power of is also written with a shift 6. ^
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 :
The value of number of hours overtime per week will he needed to achieve his earning goal = 5 hours
Step-by-step explanation:
Payment for first 40 hours = $ 32 per hour
Payment over 40 hours = $ 48 per hour
Eli’s goal is to earn = $ 1520 per week ------- (1)
Total payment for first 40 hours = 32 × 40 = $ 1280 ------ (2)
Suppose person worked
hours in overtime, then
The total payment for
hours = 48 ×
= $ 48
------------ (3)
Total earnings of the person in a week ⇒ $ 1280 + $ 48
= $ 1520
⇒ 1280 + 48
= 1520
⇒ 48
= 1520 - 1280
⇒ 48
= 240
⇒
= 5 hours
This is the value of number of hours overtime per week will he needed to achieve his earning goal.