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GuDViN [60]
3 years ago
13

1. Mark charges $10 an hour to babysit with an additional flat fee of $20 for each babysitting job. He wants to purchase a new g

ame system that will cost him $123.50. Write an inequality to show the least number of complete hours he needs to babysit if he has one job scheduled.
A. Solve the inequality that you created.

B. Mark is considering changing his rate to $ 15.00 an hour with no flat fee. What effect would this change have on the hours that Mark needs to work to buy the gaming system?

C. What conclusions can you draw about Jamie charging the flat fee and not charging the flat fee?

Please help!!
Mathematics
2 answers:
quester [9]3 years ago
6 0

Answer:

Step-by-step explanation:

A.123.50≤20+10(x)

103.50≤10x

10.35 hours at least to equal the 123.50.

10.35 hours *10 an hour is 103.50+20 flat fee=123.50

B. 123.50≤15(x)

8.24 hours or more. 15.00 an hour at 8.24 hours = 123.60

C. He will work less hours if he charges more and does not charge the flat fee.

Stolb23 [73]3 years ago
5 0

Answer: let x = amount of hours worked.

A. 10x + 20 >or= 123.50 --- 10x >or= 143.50 --- x >or= 14.35 hours.

B. 15x >or= 143.50 --- x >or= 9.57 hours.

C. Jamie would only have to work 9.57 hours to get his gaming system if he charged 15$ with no flat fee as opposed to 14.35 hours of work with the flat fee.

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Sever21 [200]

Answer:it is -2

Step-by-step explanation:

First you need to put it into y=mx+b

Then it would be -5y=-3x+10

Divide all numbers by -5 so it would look like this

y=3/5x-2

-2 is the y intercept

Add me

5 0
3 years ago
The quality-control department of Starr Communications, a manufacturer of video-game DVDs, has determined from records that 1.5%
Sunny_sXe [5.5K]
Let A represents the event that DVD has a video effect. 
So, 
P(A) = 1.5 %

Let B represents the event that DVD has a audio defect.
So,
P(B) = 0.8 %

A ∩ B represents that DVD has both audio and video defect.
So,
P(A∩B) = 0.4%

Part a)
A ∪ B represents that DVD has a video or audio defect. 

P(A∪B) = P(A)+P(B)-P(A∩B) = 1.5 + 0.8 - 0.4 = 1.9%

Thus the probability that the DVD purchased by the customer has a video or audio defect is 1.9%.

Part b) 
The complement of P(A∩B) will represent the probability that the DVD does not have video or audio defect.

So, the probability that DVD purchased by customer does not have video or audio defect is 1 - 0.4 = 0.96%
3 0
3 years ago
In Santana's last basketball game he made a total of 22 baskets. Santana
anyanavicka [17]

Answer:

Santana scored 12 2-point baskets.

Step-by-step explanation:

Given that Santana converted 22 baskets in his last basketball game, totaling 54 points at the end of the game, and that in basketball the baskets are worth 2 and 3 points, to determine the number of baskets of each value that Santana converted, the following logic reasoning must be done:

If all the baskets were 2 points, the total of points made would have been 44 (22 x 2). Now, there are 10 more points, which are attributable to the 3-point baskets (that is, each extra point is a 3-point basket). Therefore, since 54 minus 44 equals 10, Santana made 10 3-point baskets and 12 2-point baskets.

This is verified through the following calculation:

(10 x 3) + (12 x 2) = X

30 + 24 = X

54 = X

8 0
3 years ago
The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t
barxatty [35]

Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level.  The derivative <em>R'</em> of the function <em>R</em> measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

R'(x) = -0.1x+40

(a) To find the the daily total revenue you must:

  • Integrate the daily marginal revenue function,

\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C,

where C is a constant.

  • Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

0=-0.05(0)^2+40(0)+C\\C=0

R(x)=-0.05x^2+40x

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

  • Find the daily total revenue realized from the sale of 310 units

R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

R(310)-R(210)=7595-6195=1400

3 0
4 years ago
37) What is the value of mx<br> if y=mx+b?
Yuri [45]

Answer:

the slope

Step-by-step explanation:

6 0
4 years ago
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