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Makovka662 [10]
3 years ago
7

Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the

expression 75 + 50x, where x is the amount of hours they spend cleaning. Another cleaning company's cost can be calculated using the expression 50 + 75x. Susan wants to know how long each company will have to clean to cost the same amount. Group of answer choices 1 hour 2 hours the will never equal the same 7.5 hours
Mathematics
1 answer:
kirill [66]3 years ago
3 0

Answer:

<h3>A. 1 hour</h3>

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

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7 0
3 years ago
carmen rides her bicycle at a constant rate to the market. when she rides her bicycle back home along the same route, she bikes
sergeinik [125]
The answer is 28.
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7 0
3 years ago
Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two
Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow         Frequency

   0                 9

   1                 6

   2                 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

P=\dfrac{6}{16}\\P=0.375

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0
3 years ago
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Gre4nikov [31]
It is the solution for B
3 0
3 years ago
I need help ASAP ASAP plz someone help me plz plz plz
anyanavicka [17]

Answer:

Rate of change  = 0.5

Initial value = 120

Step-by-step explanation:

(10 , 125)   ;   (30 , 135)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         = \frac{135-125}{30-10}\\\\= \frac{10}{20}\\\\= \frac{1}{2}\\= 0.5

Rate of change  = 0.5

Initial value = 120

4 0
3 years ago
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