3x + 2y = $134
2x + 3y = $146
Using elimination to solve for x
9x +6y = 3*134 Multiplying 1st equation by 3
-4x -6y = -2*146 | Multiplying 2nd equation by -2
5x = 3*134 - 2*146
5x = $110
x = $22, the cost of the youth ticket
Put x= 22 Into An Equation Then Solve For y
3(22)+2y= 134
66+ 2y=134
Subtract 66
2y=68
Y= 34
CHECKING Answer ($34 being the cost of the adult ticket) y = (134-3*22)/2
3*$22 + 2*$34 = $66 + $68 = $134
Answer:
6
Step-by-step explanation:
We have y ∝ x which is another way of saying y varies directly with x
We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality
So y = kx or x = y/k
using y and x values know, we can solve for k and then solve for any x given y
We have
y = 37.4 = k (17)
Therefore k = (37.4/17) = 2.2
To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 = 6
9514 1404 393
Answer:
a. 0.6 h
b. 1.3 h
c. C -- No
d. 4.2 mi/h
Step-by-step explanation:
a. The relationship between time (t), speed (s), and distance (d) is ...
t = d/s
The time spent running 4 miles at 7 miles per hour is ...
t = (4 mi)/(7 mi/h) = (4/7) h ≈ 0.6 h
__
b. The time spent walking home is ...
t = (4 mi)/(3 mi/h) = 4/3 h ≈ 1.3 h
__
c. C -- No, less time is spent at 7 mi/h
__
d. The average speed is ...
s = d/t = (4 mi +4 mi)/(4/7 h +4/3 h) = (8 mi)/(40/21 h) = 4.2 mi/h
Answer:
4
Step-by-step explanation:
I73/16 = 4.52
If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52
