9514 1404 393
Answer:
(0, 2), (5, 5)
Step-by-step explanation:
The w-intercept is the constant in the equation, so you know immediately that (x, w) = (0, 2) is one point on your graph.
Since the value of x is being multiplied by 3/5, it is convenient to choose an x-value that is a multiple of 5. When x=5, we have ...
w(5) = (3/5)(5) +2 = 3+2 = 5
So, (x, w) = (5, 5) is another point on your graph.
Answer:
11 rides
Step-by-step explanation:
let the total amount be y
and let the number of ride be x
the expression for the situation is y=mx+c
given
total amount=$28
admission fee= $6
cost per ride=$2
we are expected to find x
substitute into the expression we have
28=2x+6
28-6=2x
22=2x
divide boths sides by 2 we have
x=22/2
x=11
the number of rides is 11
Answer:
1. 17,20
2. 40,80
Step-by-step explanation:
1. 5+3=8
8+3=11
11+3=14
14+3=17
17+3=20
pattern is +3
2. 2.5*2=5
5*2=10
10*2=20
20*2=40
40*2=80
pattern is *2
Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then
20x+17.5y+30z=300.
Now
- in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
- in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
- in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
- in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.
Then 4x+4.725y+7.5z=66.
You get a system
From the first equation 
Substitute it into the second equation:
Simplify it:
y must be divided by 20, then
- y=0, x=9, z=10-6=4;
- y=20, x=16, z is not a whole number;
- y=40, x=23, z is not a whole number;
- y=60, x=30, z=10-20-35<0;
- thus, all other possible z will be <0.
Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.
