Answer:
y=3x-10
Step-by-step explanation:
gradient to the line y=3x+2 is same as that of the line passing through the point (2,-4)
gradient=3
( {y-(-4)}/{x-2} )=3
apply cross multiplication and the equation will be:y=3x-10
Let g = graph paper and r = ruler
1st equation: 5g + 30r = 40
2nd equation: 12g + 20r = 44
Multiply the 2nd equation by -1.5 to cancel out the r's
2nd equation: 12g + 20r = 44 x -1.5 = -18g - 30r = -66
Now add the 1st equation to that:
-18g + 5g = -13g
30r -30r = 0
40 -66 = -26
The new equation becomes -13g = -26
Divide both sides by -13
g = -26 / -13
g = 2
This means each pack of graph paper cost $2.
Now replace g with 2 in the first equation to solve for the cost of a rule:
5(2) + 30r = 40
Simplify:
10 + 30r = 40
Subtract 10 from each side:
30r = 30
Divide both sides by 30:
r = 30 / 30
r = 1
Each rule cost $1.
Answer:
Average Cost per game for 4 games is:
A) $4.75
Step-by-step explanation:
As the question is not complete, lets complete it first.
At the bowling Alley, shoe rentals cost $3 while a games costs $3. The expression that represents the average costs per game 'c' , in dollars, where n is the number of games, is:
To find average cost per game, for 4 games, simpli substitute n=4 into the given equation:
So Average Cost per game for 4 games is:
c = 4.75$
Answer:
51.2 oz
Step-by-step explanation:
Stoichiometry
3.2 lb x 16 oz
÷ 1 lb =51.2 oz
Answer:
P = 8.9k
Step-by-step explanation:
To find the perimeter, you need to add all three sides of the triangle.
P = (1.8k - 5) + (3.5 + 6.1k) + (k + 1.5)
Because you are adding all three expressions, you can remove the parentheses.
P = 1.8k - 5 + 3.5 + 6.1k + k + 1.5
Now you want to combine the variable (k).
P = (1.8k + 6.1k + k) - 5 + 3.5 + 1.5
P = (8.9k) - 5 + 3.5 + 1.5
Now you want to combine the constants.
P = (8.9k) - 0
You are left with:
P = 8.9k
