Hello!!!!
If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.
4 hours at 60 miles per hour = 4*60 = 240 miles6 hours at 65 miles per hour = 6*65 = 390 miles
This is a total of 630 miles. There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.
Hope this helps!
Answer:
The time it takes for the cannonball to hit the ground is 6.49 seconds.
Step-by-step explanation:
You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:
0 = -4.9t² + 30.5t + 8.4
To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:
![\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B-%5Csqrt%7Bb%5E%7B2%7D%20-4%2Aa%2Ac%7D%20%7D%7B2%2Aa%7D)
In this case, being a = -4.9, b =30.5 and c =8.4 you have:
![\frac{-30.5+-\sqrt{30.5^{2} -4*(-4.9)*8.4} }{2*(-4.9)}](https://tex.z-dn.net/?f=%5Cfrac%7B-30.5%2B-%5Csqrt%7B30.5%5E%7B2%7D%20-4%2A%28-4.9%29%2A8.4%7D%20%7D%7B2%2A%28-4.9%29%7D)
Solving you get:
t1= -0.26 seconds and t2=6.49 seconds
Since time does not have a negative value, then <u><em>the time it takes for the cannonball to hit the ground is 6.49 seconds.</em></u>
Given:
Each big square represents one whole.
To find:
The percent represented by the shaded area.
Solution:
One big square have 100 small square.
Shaded part of first big square = 100
Fraction of shaded part of first big square = ![\frac{100}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B100%7D)
Shaded part of second big square = 19
Fraction of shaded part of second big square = ![\frac{19}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B100%7D)
Fraction of total shaded area:
![$=\frac{100}{100}+\frac{19}{100}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B100%7D%7B100%7D%2B%5Cfrac%7B19%7D%7B100%7D)
![$=\frac{100+19}{100}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B100%2B19%7D%7B100%7D)
![$=\frac{119}{100}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B119%7D%7B100%7D)
Percent of shaded area:
![$=\frac{119}{100}\times 100\%](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B119%7D%7B100%7D%5Ctimes%20100%5C%25)
= 119%
The shaded area is 119%.
Let x represent some number
Sum of 3 and twice some number = 3 +2x
Five times the sum of 3 and twice some number: 5(3+2x)
5(3+2x)=70
15+10x=70
Subtract 15 from both sides to have 10x by itself
10x=55
Divide 10 on both sides to get x by itself
x=55/10
x=5.5
Hope this helped
Answer: -5x^2 - 39x + 8
Step-by-step explanation: Simplify the expression.
Hope this helps you out! ☺
-Karleif-