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otez555 [7]
2 years ago
8

Abe,a plumber, charges $50 per hour plus $75 for making an in-home visit. The Plumbing Service charges $65 per hour but no set f

ee for a visit. How many hours of Plumbing work are needed for each to cost the same?​
Mathematics
1 answer:
Rasek [7]2 years ago
5 0
Steps:

let “x” be number of hrs
let “y” be total cost

Abe:

50x + 75 = y

Plumbing Service:

65x=y

Since both equations are equal to y, you can set them equal to each other.

65x = 50x + 75

isolate for x:

65x - 50x = 75
15x = 75
x = 5

therefore it will take 5 hours for each to cost the same. you should call Abe for any task more than 5 hours because it will be cheaper and you should call the Plumbing Service for any task less than 5 hours because it will be cheaper.
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In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
azamat

Given that ABC is a right angle triangle with m∠C=90°,  m∠B=75° and AB=12cm.

Area of triangle =  

                         =  

So we need to find BC,AC now.

To find them let us take sinB and cosB.

SinB =  

BC = 12* cos B = 12* cos 75

So, area =  

            = 72*sin(75)*cos(75)

            = 36*(2sin(75)cos(75))

            = 36*sin(150) =  18

Hence area of triangle is 18

Hope this helps tbh sorry I was a little late btw (:

7 0
2 years ago
9r+4d-2 use r=9 and d=2
Leto [7]

Answer:

87

Step-by-step explanation:

7 0
2 years ago
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You are a serious student who studies on Friday nights but your roommate goes out and has a good time. 40% of the time he goes o
Lyrx [107]

Answer:

the probability is 0.24 or 24%

Step-by-step explanation:

Given

Percentage of time he goes out with his girlfriend = 40%

Percentage of time he goes out to a bar = 60%

If he goes out with his girlfriend, the percentage of times he spends the night at his girlfriend’s apartment = 30%

If he goes out to a bar, percentage of times he gets in a fight and gets thrown in jail = 40%

let probability that the roommate went to the bar = A

 

As the roommate going to jail is a conditional probability dependent on A happening, the true probability of the roommate is found by multiplying the absolute probability of the roommate going out to a bar (A) by the probability of the roommate going to jail if he goes to a bar

that is Pr(B) =Pr (B n A)

Pr(B) = Pr(B/A) *Pr(A)

This is given as 60% * 40% or 0.6 * 0.4 (probabilities are 1/100 of percentages)

This gives an answer of 0.24 or 24%

4 0
2 years ago
Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whethe
Agata [3.3K]

Answer:

There's a proportion relationship between number of shell and their cost

Step-by-step explanation:

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

4 0
2 years ago
Mia has a budget of $250 to spend on a health club membership. The monthly membership fee is $20, and there is a one-time regist
Leokris [45]
So we cant go over $250

35+20n=250

now that i put the question in an expression we can take the 35 away from both sides

35+20n=250
-35. -35
_____________
20n=215


now divide 20 by both sides to get (n) alone

20n=215
________
20

n= 10.75

we round down because we cannot exceed the limit, thus

ANSWER: 10 months
7 0
2 years ago
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