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slamgirl [31]
3 years ago
10

Gabriella needs a mason and must decide between 2 companies. For a service visit, Company A charges $65 to send a mason plus $30

/h. Company B charges $30
to send a mason plus $47.50/h. The graph that models this situation is shown here.

According to the graph, how many hours must the two masons work in order to charge the same amount of money?

_____ hour(s)

Mathematics
2 answers:
Allisa [31]3 years ago
8 0
By looking at were the two lines meet on the graph, they would both have to work for 2 hours to charge the same.
Kamila [148]3 years ago
7 0
So first we write out their respective charges
A=65+30x (x=hours of A)
B=30+47.5y (x= hours of B)

we want to know when A and B are equal so just set them to be equal

65+30x=30+47.5x
subtract 30 from both sides
35+30x=47.5x
multiplyboth sides by 2 to get rid of the nasty decimal
70+60x=95x
subtract 60x from both sides
70=35x
divide both sides by 35
2=x
they must work 2 hours for them to be equal

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A farm had 480 acres more wheat than corn. After the farmers collected 80% of the wheat and 25% of the corn, the area of the whe
Sergio [31]
The area covered by corn is x
The area covered by wheat is (x+480)
After 80% of wheat was collected, the new area was:
20/10(x+480)
=1/5(x+480)
After 25% of the corn was collected, the new area was:
75/100x
=3/4x
New area equation will be:
(3/4)x=1/5(x+480)+300
(3/4x)=(1/5)x+96+300
solving for x we get:
11/20x=396
x=720
thus the original area of corn was 720 acres
Original area of wheat was 720+480=1200 acres
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