Answer: Choice B) (24,10)
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Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
Answer:
127 hamburgers
Step-by-step explanation:
let c = # of cheeseburgers
let h = # of hamburgers
c = 2h (The number of cheeseburgers sold was two times the number
of hamburgers sold.)
h + c = 381 (combined total)
h + 2h = 381
3h = 381
h = 127
Answer:
option 3)
14% approx
Step-by-step explanation:
Given data
Initial= $18.00
final =$20.50
% increase= final - initial/initia *100
% increase= 20.50-18.0/18*100
% increase=2.5/18*100
% increase=0.138*100
% increase=13.8%
Hence the increase is 13.8%
=14% approx
Answer:
3/2 miles per hour
Step-by-step explanation:
How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/6?
Given data
distance= 1/2 miles
time= 1/3 hour
Speed= distance/time
Substitute
Speed= 1/2/1/3
Speed= 1/2*3/1
Speed= 3/2 miles per hour
Answer:
This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.
