Equal to is under is fewer has maximum value is over is at most
Answer:
B. r + l = 45; 2r + 3l = 96
39 regular; 6 long-distance
Step-by-step explanation:
There were 45 baskets, so
(1) r + l = 45
There were 96 points in the game, so
(2) 2r + 3l = 96
Solve equation (1) for l
l = 45 – r Substitute the value for l in Equation (2)
2r + 3(45 – r) = 96 Remove parentheses
2r + 135 - 3r = 96 Combine like terms
-r + 135 = 96 Subtract 135 from each side
-r = -39 Multiply each side by -1
r = 39 Substitute the value of r in Equation (1)
39 + l = 45 Subtract 39 from each side
l = 6
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Check:
(1) 39 + 6 = 45
45 = 45
(2) 2×39 + 3×6 = 96
78 + 18 = 96
96 = 96
Answer:
13
Step-by-step explanation:
So first Subtract 100 from 250. Since you are trying to find out the amount of hours, you don’t need the tips to count.
The next step is too either do the equation 150 divided by 11.50 or you can multiply 11.50 by 13.
it’s not fourteen because 149.5 is closer to 150 then 161
Hope this helps
Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7
