1) Assuming that 1 month is 30 days. We would take 30 (# of days in the month) divided by 4, which would be 7.5. So every 7.5 days ( or 1/4 of a month) she will build 1 1/2 simple machines. so 1 1/2 times 4 equals 6. She will build 6 simple machines each month.
3) D. 6 miles, you would take 60 divided by 6 which is 10, divided by 3/5 which is 6.
Answer:
6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.
7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.
9) x = 20
m < A = 65
m < B = 25
Step-by-step explanation:
9)
3x + 5 + 2x - 15 = 90
3x + 2x + 5 - 15 = 90
5x - 10 = 90
5x - 10 + 10 = 90 + 10
5x = 100
5 / 5x = 100 / 5
x = 20
A = 3x + 5
A = 3(20) + 5
A = 60 + 5
A = 65
B = 2x - 15
B = 2(20) - 15
B = 40 - 15
B = 25
Answer: D and A, B and E, C and F
Step-by-step explanation:
The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.
<em>Travel time = distance ÷ speed </em>
<u>Second half of the trip</u> :
- <em>Distance covered = 15 miles</em>
<u>Time taken for second half of trip</u> :
Time taken = 15 / s
<u>First half of the trip</u> :
- <em>Speed = s + 2 mph </em>
<u>Time taken for first half of trip :</u>
Time taken = 15 / (s+2)
<u>Total time taken :</u>
<em>First half + second half</em>
15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s
B)
If s = 12
<em>Substitute s = 12 into the expression</em> :
[15(12) + 15(12+2)] / 12² + 2(12)
[180 + 210] / 144 + 24
390 / 168
= 2.32 hours
Therefore, the total time taken is 2.32 hours.
Learn more : brainly.com/question/18796573
Y=x^2-5
y=2x-5
y+5=2x
x=(y+5)/2
y=((y+5)/2)^2-5
y=(y^2+10y+25)/4-5
4y=y^2+10y+25-20
0=y^2+6y+5
0=(y+5)(y+1)
y= -5 or -1
y=2x-5 (y= -5 doesn't work for this one so use -1)
-1=2x-5
2x=4
x=2
Using these answers, you can choose answer D with reasonable certainty.
