Do one hundred and twenty nine divided by three and you will get your answer
Equation of a line in standard form is Ax + By = C
A is a pos. integer and B + C are integers
1) multiply all terms in the equation by 2
2y = x - 6
2) subtract 2y from both sides
2y - 2y (cancelled out) = x - 2y - 6
x - 2y - 6 = 0
3) add 6 to both sides
x-2y = 0 +6 (-6 and +6 cancel out)
therefore,
x - 2y = 6
is the equation in standard form
Answer:
1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.
Step-by-step explanation:
Pepper Cheddar cheese = $15 per kilogram
Pennsylvania jack = $11 per kilogram
The cheese sampler includes a Pepper Cheddar cheese and a Pennsylvania jack that cost $15 per kilogram and $11 per kilogram respectively.
The mixture = 6 kg
Let
a = kg of the pepper cheddar cheese
b = kg of the Pennsylvania jack
a + b = 6............(i)
Rate
15a + 11b/6 = 12
15a + 11b = 72.............(ii)
Combine the equation
a + b = 6............(i)
15a + 11b = 72.............(ii)
a = 6 - b
15(6 - b) + 11b = 72
90 - 15b + 11b = 72
90 - 72 = 15b - 11b
18 = 4b
divide both sides by 4
b = 18/4
b = 4.5 kg
insert the value of b in equation (i)
a + b = 6............(i)
a = 6 - 4.5
a = 1.5 kg
1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.
A) QPT=34 opposite interior with PRS
b)SPT=146-34=112
c)TSR+SRT+RTS=180
TSR+34+(180-46)=180
TSR+34-46=0, TSR=12
d)QRS=146
e)PQR+QPS=180
PQR+146=180
PQR=180-146=34