Answer:
First number: 20
Second number: 30
Step-by-step explanation:
First#: x
Second#: y
Constraints:
x + y = 50
1/4x + 2/3y = 25
Isolate variable y:
x + y = 50
-1/4 (x + y = 50 )
-1/4x - 1/4y = -12.5
Add equations the two equations to eliminate x:
-1/4x - 1/4y = -12.5
1/4x + 2/3y = 25
_________________
5/12y = 12.5
5y = 150
y = 30
Substitution to find x:
x + y = 50
x + 30 = 50
x = 20
Answer: multiply 750 and 12
Divide that by the 14%
Step-by-step explanation:
Answer:
m∠WXY+m∠ZXY=m∠WXZ
Step-by-step explanation:
You don't know the angles to be congruent (equal measures), complementary (measures add to 90 deg), or supplementary (measures add to 180 deg); all you know is that they are adjacent, so the sum of the measures of the two smaller angles equals the measure of the larger outer angle.
Answer: m∠WXY+m∠ZXY=m∠WXZ
Elimination method
when you make both y equal to each other
Answer: slope = -60 , y - intercept = 400
Step-by-step explanation:
Given :
y = 400 - 60x
comparing with the equation of the line in slope - intercept form
y = mx + c , where m is the slope and c is the y - intercept
then ;
slope = -60
y - intercept = 400
(ii) The interpretation of the slope and the intercept.
Recall that speed = distance / time , that is
distance = speed x time.
it was given that the car is travelling 60 miles per hour , and the equation is used to model the distance from destination after x hours.
And you are 400 miles away from your destinations, this means that after x hours , you have traveled 60x miles , to know how far you are to your destination , the distance covered after x hours will be subtracted from how far you are away from your destination , that is
400 - 60 x.
The means that the y in the equation represent how far you will be to your destination after x hours.