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liraira [26]
3 years ago
13

Otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hou

r plus $30 for supplies. The equations give the total cost for x hours of work for each painter. For how many hours of work are Otis's and Shireen's costs equal? What is the cost for this number of hours? Y= 45x + 75 - Otis Y= 55x + 30 - Shireen​
Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
8 0

Step-by-step explanation:

you should only make one equation:

75 + 45x = 30 + 55x

subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:

45 = 10x

Divide by 10 and get:

4.5 = x

After 4.5 hours, the cost is equal for either worker.

eimsori [14]3 years ago
4 0

Answer:

The cost will be equal at 4.5 hrs

Step-by-step explanation:

Otis paints the interior of a home for $45 per hour plus $ 75. Shireen paints the interior of a home for $ 55 per hour plus $30.

The total cost Y of Otis and Shireen's  for x hours are

Y= 45x + 75

Y= 55x + 30

For the cost to be equal

45x + 75  =  55x + 30

collect like terms

75 - 30 = 55x - 45x

45 = 10x

divide both sides by 10

x = 45/10

x = 4.5 hrs

The cost will be equal at 4.5 hrs

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In Neil's city, the temperature is 72.6 degrees and is rising 1.3 degrees each hour. In Sheppard's city, the temperature is 80.4
klio [65]

Answer:

2.5 hours

Step-by-step explanation:

Given that :

Temperature in Neil's city :

72.6° and rising by 1.3° per hour

Temperature in Sheppard's city :

80.4° and dropping by 1.82° per hour

In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city

Let number of hours = h

Hence, Neil city :

72.6 + 1.3h

Sheppard city:

80.4 - 1.82h

72.6 + 1.3h ≥ 80.4 - 1.82h

1.3h + 1.82h ≥ 80.4 - 72.6

3.12h ≥ 7.8

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Write an equation of the line passing through the points. Write the equation in general form.
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Answer: y=2x+8

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insert (2,12) to y=2x+b

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4 0
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Hello,

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7 0
3 years ago
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