Answer:
y ≤ 6
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
Forty six times y is no more than 276
46 * y ≤ 276
<u>Step 2: Solve for y</u>
46 * y / 46 ≤ 276 / 46
y ≤ 6
Answer: y ≤ 6
Answer:
(x, y) = (4, 1)
Step-by-step explanation:
The coefficients of x are the same, so we can cancel the x-terms by subtracting one equation from the other. We want to do this so the resulting y-coefficient will be positive. That means we want to subtract the second equation from the first:
(-2x +y) -(-2x -4y) = (-7) -(-12)
5y = 5 . . . . . . . . simplify
y = 1 . . . . . . . . divide by 5
-2x +1 = -7 . . . . . substitute for y in the first equation
-2x = -8 . . . . . subtract 1
x = 4 . . . . . . divide by -2
The solution is (x, y) = (4, 1).
_____
A graphing calculator easily verifies the solution.
Answer:
16 and 32
Step-by-step explanation:
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26
Answer:
The break-even sales amounts is 36 or 224.
Step-by-step explanation:
Consider the provided function.

Where x is the number of televisions sold (in hundreds) and P is the profit.
We need to calculate the break-even sales amounts.
the break-even sales amounts is the sales amounts that result in no profit or loss.
That means substitute P=0 and solve for x.



Substitute a=4, b=-13 and c=4 in above formula.




Therefore, the break-even sales amounts is 36 or 224.