Answer:
The desired equation is y = (-8/3)x + 26/3.
Step-by-step explanation:
Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y. Thus, the slope of the line thru these two points is m = rise / run = -8/3.
Using the slope-intercept form of the eq'n of a straight line and inserting the data given (slope = m = -8/3, x = 4, y = -2), we get:
y = mx + b => -2 = (-8/3)(4) + b, or -2 = -32/3 + b
Multiply all terms by 3 to clear out the fraction:
-6 = -32 + 3b.
Then 26 = 3b, and b = 26/3.
The desired equation is y = (-8/3)x + 26/3.
Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = 
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
Answer:
The value of the given expression is -878.08.
Step-by-step explanation:
Here, the given question is INCOMPLETE.
The complete question is:
Evaluate the expression for a = 4, b = -5, and c = -7. 
Here, substitute the vale of a = 4, b = -5 and c = -7, we get:
Hence, the value of the given expression is -878.08.
Answer:
Mr. Terry has $36.60 left after these purchases.
Step-by-step explanation:
1. Multiply the amount of glue sticks purchased by their singular cost.
24 x 1.15= 27.6
2. Multiply the amount of pencil packs purchased by their singular cost.
10 x 0.58= 5.8
3. Add the solutions.
27.6+5.8=33.4
4. Subtract 33.4 from 70.
70-33.4=36.60
