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vlada-n [284]
3 years ago
8

A garage charged $248 in parts and $30 per hour in labor for work on a car. How many did the garage spend working on the car if

the total bill was $572? Use a two step equation to model the scenario and then solve the question
Mathematics
1 answer:
Inga [223]3 years ago
6 0
In this case, the total bill used for the car is $572. From that bill $248 definitely used for the parts, then the other is used for the labor payment. Then to count how much the labor payment is, you need to subtract total bill with parts bill. The equation would be:

Labor payment = $572 - $248 = $324

From here you can count how many hours the labor did too. It would be: $324/ (30$/hour) = 10.8 hours
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Which expression is equivalent to 7/2x -3(5x -1/2)
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Answer:

I think the answer is B, that was what i got

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Angle B measures 60°. What is the measure of the angle that is complementary to angle B? 30° 60° 120° 180°
Ivenika [448]

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30

Step-by-step explanation:

Complementary angle to B = 90 - 60 = 30

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What conic section is drawn by the parametric equations x=csc t and y cot?
Vanyuwa [196]
If we take the square of x and square of y and then subtract them:
                         (csc t)²-(cot t)²=1                      ( this eq. gets from basic identity 
                               x²-y²=1......a                                               1+cot²x=csc²x)
  
 equation 'a' represent the equation of hyperbola which is (x²/a²)-(y²/b²) =1 with given conditions( a=1,b=1)

So, option D is correct
3 0
3 years ago
The cost for a pack of 18 pencils is $3.24. Find the unit price in dollars per pencil. If necessary, round your answer to the ne
nexus9112 [7]

Answer:

$0.18 per pencil.

Step-by-step explanation:

"Dollars per unit" means that you take the dollar amount and divide it by the amount of pencils, so you get 3.24/18, or .18.

4 0
3 years ago
At a 20th high school reunion, all the classmates were asked the number of children they had. The probability of having a partic
finlep [7]

Answer:

a) We need to check two conditions:

1) \sum_{i=1}^n P_i = 1

0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1

2) P_i \geq 0 , \forall i=1,2,...,n

So we satisfy the two conditions so then we have a probability distribution

b) P(C \geq 1)

And we can use the complement rule and we got:

P(C \geq 1)= 1-P(C

c) P(C=0) = 0.05

d) For this case we see that the result from part b use the probability calculated from part c using the complement rule.

Step-by-step explanation:

For this case we have the following probability distribution given:

C    0        1        2         3       4       5        6       7        8      

P  0.05   0.14   0.34   0.24  0.11  0.07  0.02  0.02  0.01

And we assume the following questions:

a) Verify that this is a probability distribution

We need to check two conditions:

1) \sum_{i=1}^n P_i = 1

0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1

2) P_i \geq 0 , \forall i=1,2,...,n

So we satisfy the two conditions so then we have a probability distribution

b) What is the probability one randonmly chosen classmate has at least one child

For this case we want this probability:

P(C \geq 1)

And we can use the complement rule and we got:

P(C \geq 1)= 1-P(C

c) What is the probability one randonmly chosen classmate has no children

For this case we want this probability:

P(C=0) = 0.05

d) Look at the answers for parts b and c and explain their relationship

For this case we see that the result from part b use the probability calculated from part c using the complement rule.

5 0
3 years ago
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