Answer:
50%
Step-by-step explanation:
Is means equals and of means multiply
4 = P * 8
Divide each side by 8
4/8 = P 8/8
.5 = P
Multiply each side by 100 to change from decimal form to percent form
50% = P
4 is 50% of 8
Give me more I don’t understand
9514 1404 393
Answer:
- airplane: 225 mph
- wind: 45 mph
Step-by-step explanation:
The average speed with the wind is (540 mi)/(2 h) = 270 mi/h.
The average speed against the wind is (540 mi)/(3 h) = 180 mi/h.
Let a and w represent the speeds of the airplane and wind, respectively.
a + w = 270 . . . . speed with the wind
a - w = 180 . . . . speed against the wind
2a = 450 . . . . . . sum of the two equations
a = 225 . . . . . . divide by 2
w = a -180 = 45
The speed of the airplane is 225 miles per hour; the speed of the wind is 45 miles per hour.
Answer:
The answer is neither.
Step-by-step explanation:
We need to solve for y in the equation, 10x-2y= 6.
In other words, we are going to find the slope intercept of that equation.
![10x - 2y = 6 \\ \frac{ + 10x = + 10x}{ - 2y = 10x + 6} \\ \\ \frac{ - 2y }{ - 2} = \frac{10x + 6}{ - 2} \\ y = - 5x - 3](https://tex.z-dn.net/?f=10x%20-%202y%20%3D%206%20%5C%5C%20%20%5Cfrac%7B%20%2B%2010x%20%3D%20%20%2B%2010x%7D%7B%20-%202y%20%3D%2010x%20%2B%206%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B%20-%202y%20%7D%7B%20-%202%7D%20%20%3D%20%20%5Cfrac%7B10x%20%2B%206%7D%7B%20-%202%7D%20%20%5C%5C%20y%20%3D%20%20-%205x%20%20-%203)
So we have now have both the equations:
![y = 5x + 2 \\ and \\ y = - 5x - 3](https://tex.z-dn.net/?f=y%20%3D%205x%20%2B%202%20%5C%5C%20and%20%5C%5C%20y%20%3D%20%20-%205x%20-%203)
It's not parallel because the slopes aren't the same. It's not perpendicular because when the slope of the equation becomes a negative reciprocal, it still doesn't end up with the same slope as the other equation.
It's neither parallel or perpendicular.
Answer:
Option B - father's age = 52; daughter's age = 13
Step-by-step explanation:
Given : A girl is now one-fourth as old as her father, and in seven years, she will be one-half as old as her father was twelve years ago.
To find : What are her and her father's present ages?
Solution :
Let the father's present age is 'x'.
A girl is now one-fourth as old as her father.
i.e. Girl age is ![\frac{x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D)
In seven years, she will be one-half as old as her father was twelve years ago.
i.e. ![\frac{x}{4}+7=\frac{1}{2}(x-12)](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%2B7%3D%5Cfrac%7B1%7D%7B2%7D%28x-12%29)
![\frac{x}{4}+7=\frac{x}{2}-6](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%2B7%3D%5Cfrac%7Bx%7D%7B2%7D-6)
![\frac{x}{4}-\frac{x}{2}=-6-7](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D-%5Cfrac%7Bx%7D%7B2%7D%3D-6-7)
![\frac{x-2x}{4}=-13](https://tex.z-dn.net/?f=%5Cfrac%7Bx-2x%7D%7B4%7D%3D-13)
![-x=-52](https://tex.z-dn.net/?f=-x%3D-52)
![x=52](https://tex.z-dn.net/?f=x%3D52)
The father's age is 52 years.
The daughter's age is ![\frac{52}{4}=13](https://tex.z-dn.net/?f=%5Cfrac%7B52%7D%7B4%7D%3D13)
Therefore, option B is correct.