Which of the following are solutions to the equation below? Check all that apply. 9x^2-64=0A. 8
B. -8
C. -3/8
D. 3/8
E. -8/3
F. 8/3
Answers
Answer:
E. -8/3
F. 8/3
Step-by-step explanation:
9x^2-64=0
Add 64 to each side
9x^2-64+64 = 0+64
9x^2 =64
Divide each side by 9
9x^2/9 = 64/9
x^2 = 64/9
Take the square root of each side
sqrt(x^2) = ±sqrt(64/9)
We know that sqrt(a/b) = sqrt(a)/sqrt(b)
x = ±sqrt(64)/sqrt(9)
x = ± 8/3
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Answer:
Kristen wants to cut ladder. 8 pieces can be cut out of a 6 foot board in the form of foot rungs.
Solution:
The length of the board is 6 feet.
Kristen wants to cut foot ladder rungs from the 6 foot board.
is in the fraction form. To make the calculation easier lets convert it to the decimal form.
Therefore, =0.75
Now each small rung is 0.75 foot long.
To find out how many pieces of rung can be cut out of a 6 foot board we need to divide 6 by 0.75. This will give us exactly how many pieces can be cut out.
Therefore;
6 ÷ 0.75 = 8
Hence, 8 pieces can be cut out of a 6 foot board in the form of foot rungs.
Answer:
8
Step-by-step explanation:
6ft board/0.75=8
Answers
1/2 - 6/13 = 13/26 - 12/26 = 1/26
6/13 - 0 = 6/13 = 12/26
1/26 < 12/26, therefore 6/13 should be rounded to 1/2
hope that helped *smiles*
6/13 + 1/8 = 48/104 + 13/104 = 61/104
1/2 = 52/104
52<61 => 52/104 < 61/104
Answers
Answer:
About $90, because the trend line shows that value for $11.
Step-by-step explanation:
It is the only one that shows a constant rate of change.
Answer:
the first one ( the line closest to 90)
Step-by-step explanation:
Answers
2 circles with same area=2pir^2
circle with 2 times radius=pi(2r)^2=pi4r^2=4pir^2
is 2 circles with same area equal to circle with 2 times radius?
is 2pir^2=4pir^2?
is 2=4?
no
therfor the answer is no
it is because the radius is squaered so the doubled gets doubled makng it quadrupuled when the first one only gets doubled
$85,500
-$36,000
$94,000
$58,000
Answers
Answer:
The correct option is $94,000
Step-by-step explanation:
Yearly premium under the insurance plan = $1,000
Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000
Number of people insured = 100
Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000
Average expenses incurred on accident = $38,000
Deductible = $4,000
Net expenses incurred per accident = $38,000 - $4,000 = $34,000
In 4 years , 9 motorcycle drivers had an accident
Total expenses incurred for accident = $34,000 * 9 = $306,000
Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000
Hope it helps.
Thank you !!
1,000 X 100 X 4 = 400,000