Answer: x=10 and y=5
Step-by-step explanation: Let be the number of hours worked by the first mechanic.
Let be the number of hours worked by the second mechanic.
They worked for a combined total of hours. So we have the following equation.
The first mechanic charged per hour and worked for hours.
So, the first mechanic charged dollars.
The second mechanic charged per hour and worked for hours.
So, the second mechanic charged dollars.
Together they charged a total of . So we have the following equation.
The two equations above give us a system of linear equations.
We can solve the first equation for .
We then substitute for in the second equation to find .
Answer:
Step-by-step explanation:
<u>The first equation:</u>
<u>The second equation:</u>
<u>Convert to slope-intercept form:</u>
- x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.5
- 2x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13
<em>The graph is attached</em>
<u>Intersection point is (9, 7)</u>
- Adult tickets cost $9
- Child tickets cost $7
Answer:
0.2857
Step-by-step explanation:
We define the time it takes to do these dishes to be uniformly distributed between the time 5 minutes and 12 minutes.
a = 5 minutes
b = 12 minutes
Probability of tonight's dish washing being between 6 and 8 minutes
P(6<X<8)
= 8-6/b-a
= 2/12-5
= 2/7
= 0.2857
The probability it will be better 6 and 8 minutes is therefore 0.2857
The lines that intersect is B
Answer:
x = 5.25
Step-by-step explanation:
subtract 7/10 from both sides of the equation
-8/9x +7/10 - 7/10 = -119/30-7/10
-8/9x = -119-21/30
-8/9x = -140/30
the negative signs cancels out and the right hand side reduced to the lowest tern
8/9x = 14/3
multiply both sides by the reciprocal of 8/9 which is 9/8
9/8 * 8/9x = 14/3 * 9/8
x = 21/4
x = 5.25