8 - 5p = 2 - 3p
Move the terms
= -5p + 3p = 2-8
Collect like terms (calculate)
= -2p = -6
Divide both sides
p = 3 (Final Answer)
Option B 6x-7y = -11 is correct
Step-by-step explanation:
We need to write the equation of the given line in standard form.
The points are (1/2,2) and (3,1)
The equation used is:
where m is the slope.
Finding slope :
x₁= 1/2, y₁=2, x₂=-3, y₂=-1
Putting values:
Now taking point (1/2,2) and s;ope m = 6/7 finding equation:
So, Option B 6x-7y=-11 is correct
Keywords: Standard form of equation
Learn more about Standard form of equation at:
#learnwithBrainly
Answer:
The numbers larger than -2 and smaller than 3 are -1,0,1,2.
Step-by-step explanation:
Sharon is 10
Brian is 5
In five years, they will both be 5 years older, so they will be a combined 10 years older. If you subtract 10 years from 25, that means that right now their ages add up to 15. If Sharon is twice as old as Brian, than her age is made up of 2/3 of the remaining 15 years, and Brian's age is 1/3 of the remaining 15. That means Sharon is 10 and Brian is 5.
If math is needed:
Sharon = x
Brian = y
x = 2y
(x + 5 years) + (y + 5 years) = 25 years
x + 5 + y + 5 = 25
x + y + 10 = 25
x + y = 15
(substitute "x" with "2y")
x + y = 15
(2y) + y = 15
3y = 15
y = 5 ( Brian is 5)
use y value to find x
x = 2y
x = 2(5)
x = 10 ( Sharon is 10)
Answer:
400 miles
Step-by-step explanation:
Given:
Rent of a car per day = $20
Extra amount per mile = $0.15
Total budget per day = $80
Question asked:
Find the maximum number of miles he can drive each day.
Solution:
He can drive per day = Tot. budget - rent per day div by extra amount per day
= (80 - 20) 0.15
= miles
Therefore, the maximum number of miles he can drive each day miles.