Let T = cost of a taco
Let S = cost of a salad
(2 tacos + 1 salad) + (8 % of 2 tacos and 1 salad) + 3 = 13.80
2T + S + .08(2T + S) + 3 = 13.80
2T + 2.5 + .08(2T + 2.5) + 3 = 13.80
2T + 2.5 + .16T + .20 + 3 = 13.80
2.16T + 5.7 = 13.80
2.16T = 8.10
T = 8.10/2.16 = $3.75
Check: 2T + S + .08(2T + S) + 3 = 13.80
2(3.75) + 2.50 + .08(2(3.75)+2.5) + 3 = 13.80
7.5 + 2.5 + .08(10) + 3 = 13.8
13.80 = 13.80
Answer checks as correct
Answer: x = 16, x = 8
Step-by-step explanation:
|a| > 0, there are two solutions
|a| = 0, there is one solution
|a| < 0, there are no solutions
So, in this problem, we have two solutions.
In absolute value, the expression inside can be equal to itself OR its opposite.
Ex: |y| = y, |y| = -y
So, we can write two equations:
x - 12 = 4, x = 16
-x+12 = 4, x = 8
Check: |16 - 12| = |4| = 4
Check: |8 - 12| = |-4| = 4
Answer:
x = 15
Step-by-step explanation:
x/3 + 10 =15
Subtract 10 from each side
x/3+10-10 =15-10
x/3 = 5
Multiply each side by 3
x/3*3 = 5*3
x=15
Answer:
Step-by-step explanation:
144 = -16t² + 151t + 95
0 = -16t² + 151t - 49
quadratic formula
t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))
t = (-151 ± 140.23195) / -32
t = 0.34 s
t = 9.10 s
Answer:
So starting with:
1000 ft / 5 min
we need to convert minutes into seconds, then divide the above value into it to get knots (follow the labels so they cancel out)
1000 ft / 5 min (1/60 min/sec) (1 kt / 1.68780986 ft/sec)
1.974946 kt
Step-by-step explanation:
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