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WINSTONCH [101]
3 years ago
7

A plumber charges 130 to start job plus 56 per hour . How many hours did she work if the total bill is 214

Mathematics
2 answers:
dusya [7]3 years ago
7 0

Answer:

hours=1.5

Step-by-step explanation:

Make an equation. Note key words like "plus", "per" and "total"

130+56h=214

where h is the total hours worked. Solve for h:

Subtract 130 from both sides and simplify

130-130+56h=214-130\\56h=214-130\\56h=84

Divide both sides by 56 to isolate the variable

\frac{56h}{56} =\frac{84}{56}\\\\h=\frac{84}{56} \\\\h=\frac{3}{2} \\\\h=1.5

The plumber worked for an hour and a half.

Done.

iragen [17]3 years ago
4 0

Answer:

The plumber worked for 1.5 hours

Step-by-step explanation:

y = 130 + 56x

Substitute 214 for y in the equation

214 = 130 + 56x

-130   -130                      Subtract 130 from both sides

84 = 56x                         Divide both sides by 56

1.5 = x

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Answer:

y = 52 degrees

x = 7 degrees

Step-by-step explanation:

Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.

[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]

- www.ck12.org

So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees

Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:

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52 + 52 = 14x + 6 --> Now we should simplify:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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