Answer: Total amount earned by Laney in 4hour=$138
Total amount earned by Maka in 4hours=$134
Difference =$4
Step-by-step explanation:
Since
Maka charges can be modeled by the equation F=30h+14,
where h =number of hours that Maka tutors
F = the total amount earned. Following same model
With 14 being the charge in dollar for travel expenses.
Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as
F= 32h +10
Such that total amount earned by
Maka in 4hours gives
F=30h+14
F=30x4 +14
F=120+14=$134
In the same vein the total amount earned by Laney in 4hours gives
F=32h+10
F= 32x4+10
F=128+10=$138
The difference in money earned by Laney and Maka = $138-$134= $4
Let x represent the number of ounces of vinegar
Let y represent the number of ounces of lemon juice
Oil required = 8 oz
Container can hold = 16 oz
So the inequality equation will be :
Answer:
<h2>76904685 ways</h2>
Step-by-step explanation:
Given data
the number of students n=40
the number of groups r= 8
We are going to use the combination approach to solve the problem
nCr= n!/r!(n-r)!
substituting into the expression for the number of ways we have
40C8= 40!/8!(40-8)!
nCr= 40!/8!(32)!
nCr= 40!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*/8!
nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2
nCr= 3100796899200/40320
nCr=76904685 ways
<h2><u>Problem Solving</u>:-</h2>
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
<h2><u>Solution</u>:-</h2>
Since the distance d varies directly as the time t, then d = kt.
Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.
<h2><u>Answer</u>:-</h2>
- Therefore, the constant of variation is 10.
1*3/5 = 3/5.
3/5(t-6) = -0.4
Distribute 3/5
3/5t - 3.6 = -0.4
Add 3.6
3/5t = 3.2
Divide by 3/5
t = 5 1/3 or 5.33
