Answer:
k = 28
Step-by-step explanation:
12/k = 18/42
Cross multiply.
18k = 12 * 42
18k = 504
Divide both sides by 18.
k = 28
Answer:
D. -2/3
Step-by-step explanation:
Since it is going down, it is negative
Think of this: Rise/Run
In this case, rise is when you are going up or down the graph
Run is when you are going to the right of the graph
Let's use 2 points (0,3) and (3,1)
Since you are going three points to the right we are going to put 3 in for run
You are going 2 places down, so we are going put -2 in for rise
This gives us -2/3
Another way to do this is (1-3)/(3-0) = -2/3
Answer:
infinite number of solutions
Step-by-step explanation:
Work with the second equation. Subtract 8x from both sides.
- 4y + 8x - 8x = -8x - 12 Collect like terms.
-4y = - 8x - 12 Divide by - 4
-4y/-4 = - 8x/-4 - 12/-4
y = 2x + 3
That is exactly the same line as the first given. There is an infinite number of solutions.
Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
