Answer:
a. connect the point (0 , 3) with A
b. connect the origin (0 , 0) with B
c. For A: y = 0.5x +3
For B: y = 0.5x
Step-by-step explanation:
y = ax + b is the general rule for any straight line
a being the slope and b being the y intercept, a is given to be 0.5
y = 0.5x + b, substitute the coordinates of point A
4 = 0.5 *2 +b hence b = 4 - 0.5 *2 = 4 - 1 = 3
so y = 0.5 x + 3 is the equation of the line passing through A
since the second line that passes through B is parallel to the first, hence it has the same slope of 0.5
same procedure, substitute coordinates of B
2 = 0.5 * 4 + b hence b = 2 - 0.5 *4 = 2 - 2= 0
so y = 0.5 x is the equation of the line passing through B
If the given variables are 127 hours of sleep per week for a
Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine
which animal gets the most sleep, first multiply the total hours of sleep of
each animal per week to the total number of weeks In a year, which is 52. Once
you get the answers, which are 6,604 hours of sleep in a year for the Giant
Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604
and 5,096 together to get the answer, which is 1,508. Therefore we conclude
that that the Giant Armadillo has 1,508 hours more hours of sleep than a
Platypus in a Year.
Answer:
8.5% (you can approximate that, that's the exact number and it isn't too funky)
Step-by-step explanation:
Percentage is out of 100, and over here we see that 200 is 2 times the amount of 100. So that means that if we divide 200 by 2, we get 100, which means we also divide 19/2 to get 8.5. That means, out of 100 light bulbs, 8.5 of them burned out. This is really easy to convert because the percentage is already out of 100, so you just make 8.5 into a percent which is 8.5%
Let me know if you have any questions.
The numbers are 90 and 60. this is because with a ratio 3:2 and multiplying each # in our ratio by 30 gets us the numbers 90:60......
and adding 90 + 60 will get us 150
Answer:
The football is going to go over the goal post. It will clear the goal post by (16-10) 6 ft
Step-by-step explanation:
y = -0.03x^2 + 1.6x
Let x = 40
We need to determine if y> 10
y = -0.03(40)^2 + 1.6(40)
y = -48+64
y =16
Since 16>10
The football is going to go over the goal post. It will clear the goal post by (16-10) 6 ft
