algebra 2 help?

Question

Question 7:
If the length of a rectangle is 9 1/3 m and the width is 2 2/3 m, what is the perimeter of the rectangle?




m


Question 8:
If the width of a rectangle is 4 1/3 m and the perimeter is 9 7/15 m, what is the length of the base of the rectangle?
Enter a fraction.




m


Question 9:
What is the base of a triangle with height 14 m and area 56 m2?




m


Question 10:
What is the height of a triangle with base 29.7 mm and area 201.96 mm2?

Enter a decimal.




mm


Question 11:
Amber drove to Connor's house at 43 mph. Connor's house is twenty-six miles away. How long did it take her to arrive at Connor's house? Express the following as a fraction.




hour
Question 12:
Samantha drove to Anna's house at 54 mph. Anna's house is sixty-eight miles away. Samantha arrived at Anna's house at 4:45 p.m. How long did it take her to get there (enter a fraction)?




hours
Question 13:
Timothy drove to the mall, which is ten kilometers away. It took him 1/3 hour to arrive. What was his average driving speed?




kph
Question 14:
Last year, Anna's speed in a bike race was 6 kph. She finished in 9 hours. What must be Anna's average speed if she is to finish the same distance in 4 hours this year?
Tip: use last year's information to get the race distance. Then use this with the new information.




kph


Question 15:
The distance from Philadelphia to Atlantic City is 100 miles. How long will it take to get there at 45 mph?
Please answer as a decimal rounded to the tenths place.



hours

Answer 1

Question 7:
If the length of a rectangle is 9 1/3 m and the width is 2 2/3 m, what is the perimeter of the rectangle?

P=2L+2W, given L=9 1/3 and W=2 2/3
Convert the givens into improper fractions.
9 1/3 =>28/3 and 2 2/3 =>8/3
So, P=2(28/3)+2(8/3)
P=56/3 + 16/3
P=72/3
P=24m
The perimeter is 24 meters.

Question 8:
If the width of a rectangle is 4 1/3 m and the perimeter is 9 7/15 m, what is the length of the base of the rectangle?
Enter a fraction.

P=2L + 2W, given P=9 7/15 and W=4 1/3
Convert to improper fractions
9 7/15 => 142/15 and 4 1/3 =>13/3
So, 142/15 = 2L + 2(13/3)
142/15 + 2L + 26/3------------>26/3 =78/15
Subtract 78/15 from each side
64/15 = 2L
Divide each side by 2, or multiply each side by 1/2, it's the same either way.
64/30 = L
Reduce the fraction
32/15 = L
Convert to a mixed number
2 2/15 m = L
The length is 2 2/15 meters

Question 9:
What is the base of a triangle with height 14 m and area 56 m2?

A = 1/2bh, given A=56 and h=14
56=1/2b(14)
56=7b
8=b
The base is 8 meters.

Question 10:
What is the height of a triangle with base 29.7 mm and area 201.96 mm2? Enter a decimal.

A=1/2bh, given A=201.96 and b=29.7
201.96=1/2(29.7)h
201.96=14.85h
13.6=h
The height is 13.6 mm

Question 11:
Amber drove to Connor's house at 43 mph. Connor's house is twenty-six miles away. How long did it take her to arrive at Connor's house? Express the following as a fraction.

Distance = rate x time
26 = 43t
26/43 = t
It took her 26/43 hours to arrive.

Question 12:
Samantha drove to Anna's house at 54 mph. Anna's house is sixty-eight miles away. Samantha arrived at Anna's house at 4:45 p.m. How long did it take her to get there (enter a fraction)?

D=rt
68=54t
68/54 = t
reduce the fraction
34/27 = t
It took her 34/27 hours to get there.

Question 13:
Timothy drove to the mall, which is ten kilometers away. It took him 1/3 hour to arrive. What was his average driving speed?

D=rt
10 = r (1/3)
multiply both sides by 3
30=r
His average speed was 30 kph.

Question 14:
Last year, Anna's speed in a bike race was 6 kph. She finished in 9 hours. What must be Anna's average speed if she is to finish the same distance in 4 hours this year?
Tip: use last year's information to get the race distance. Then use this with the new information.

D = rt
D=(6)(9)
D=54
So, now we know the distance, and it will be the same. She wants to finish in 4 hours, so
54=r(4)
divide each side by 4
13.5 = r
Her average speed must be 13.5 kph.

Question 15:
The distance from Philadelphia to Atlantic City is 100 miles. How long will it take to get there at 45 mph?
Please answer as a decimal rounded to the tenths place.

D=rt
100=45t
divide each side by 45
2.22222222......... =t
round to nearest tenth
2.2 = t
It will take approximately 2.2 hours.

Answer 2

Question 7:
If the length of a rectangle is 9 1/3 m and the width is 2 2/3 m, what is the perimeter of the rectangle?
the perimeter=2l+2w=18 2/3+ 5 1/3=24 m

Question 8:
If the width of a rectangle is 4 1/3 m and the perimeter is 9 7/15 m, what is the length of the base of the rectangle?
Enter a fraction.
2l=perimeter-2w
=9 7/15-8 2/3
=9 7/15-8 10/15
=12/15
so l=6/15=>=2/5 m

Question 9:
What is the base of a triangle with height 14 m and area 56 m2?

Area=1/2bh
56=(1/2)*b*14
b=56*2/14=8 m

Question 10:
What is the height of a triangle with base 29.7 mm and area 201.96 mm2?

Enter a decimal.
height=2A/b=2*201.96/29.7
=13.6mm
Question 11:
Amber drove to Connor's house at 43 mph. Connor's house is twenty-six miles away. How long did it take her to arrive at Connor's house? Express the following as a fraction.
time=distance/speed
=26/43 hour
hour
Question 12:
Samantha drove to Anna's house at 54 mph. Anna's house is sixty-eight miles away. Samantha arrived at Anna's house at 4:45 p.m. How long did it take her to get there (enter a fraction)?

time=distance/speed=68/54
=1.26 hours
Question 13:
Timothy drove to the mall, which is ten kilometers away. It took him 1/3 hour to arrive. What was his average driving speed?
speed=distance/time=10/(1/3)
=10*3=30 kph
kph
Question 14:
Last year, Anna's speed in a bike race was 6 kph. She finished in 9 hours. What must be Anna's average speed if she is to finish the same distance in 4 hours this year?
Tip: use last year's information to get the race distance. Then use this with the new information.
it will be 9/4*6=13.5 kph

Question 15:
The distance from Philadelphia to Atlantic City is 100 miles. How long will it take to get there at 45 mph?
Please answer as a decimal rounded to the tenths place.
time=distance/speed=100/45
=2 2/9 hrs

Answer 3

is that your school home work

ok here the answers
Ans for Question 7
perimeter of a rectangle = 2(L+B)
=2(9 1/3 + 2 2/3)

=2(28/3+8/3)

=2(36/3)

=2(12)
=24 m

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ans for Question8

use the above method reverse
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ans for Question 9

area for the triangle = 1/2 * b * h
where b is base and h is height

56 = 1/2 * b * 14

56 *2 /14 =b

b =8

******
ans for Question 10

use the above formula and calculate

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sorry i have no more time to answer your question

Answer 4

For increasing cubic binomials the regular formula is as follows: (a + b) ^ 3 = a^3 + 3*a^2*b^a million + 3*a^a million*b^2 + b^3 on your case, a is x and b is -y^5 So (x - y^5)^3 = x^3 + 3*x^2*(-y^5)^a million + 3*x^a million*(-y^5)^2 + (-y^5)^3 Simplified: =x^3 - 3x^2*y^5 + 3x*y^10 - y^15 :D

Answer 5

wow, in the time it took you to type all of this, you could have been done.