The cost in dollars is given as 50 + 0.50x, so ...
f(x) = 0.50x +50
B) You want to find x for f(x) = 100. Substitute the given numbers and solve for x.
100 = 0.50x +50
50 = 0.50x
50/0.50 = x
100 = x
You drove 100 miles during the week if the cost was $100.
Answer:
Simplifying
12x + 2y = 18
Solving
12x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
12x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
12x + 0 = 18 + -2y
12x = 18 + -2y
Divide each side by '12'.
x = 1.5 + -0.1666666667y
Simplifying
x = 1.5 + -0.1666666667y
<h3>
Answer: 127</h3>
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Explanation:
The phrasing "2/3 of 4/5 of his 2nd exam on his 3rd test" is a bit clunky in my opinion. It seems more complicated than it has to be.
The student got 80 on the second exam. 4/5 of this is (4/5)*80 = 0.8*80 = 64. Then we take 2/3 of this to get (2/3)*64 = 42.667 approximately. If we assume only whole number scores are given, then this would round to 43.
Let x be the score on the fourth exam. Since 5 points of extra credit are given, the student actually got x+5 points on this exam.
So we have these scores
- first exam = 70
- second exam = 80
- third exam = 43
- fourth exam = x+5
Adding up these scores and dividing by 4 will get us the average
(sum of scores)/(number of scores) = average
(70+80+43+x+5)/4 = 80
(x+198)/4 = 80
x+198 = 4*80
x+198 = 320
x = 320 - 198
x = 122
So the student got a score of x+5 = 122+5 = 127 on the fourth exam.
Plug slope in the general equation : y = mx + b
y = -x + b
5 = -4 + b
b = 9
Plug y-intercept int the general equation:
y = -x + 9
Answer: y = -x + 9
Answer:
Step-by-step explanation:
a/(5h+q) = t
multiply both sides by 5h + q
a / (5h + q) * (5h+q) = t * (5h + q)
a = t * (5h + q)
I would say this is your answer.
You could distribute the t
a = 5ht + tq
which could also be an answer.
