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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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30% of what number is 70
katrin2010 [14]
233 1/3

you start with .3x = 70, as this is the sentence given, solving for x.
divide both sides by .3, and you get x
6 0
3 years ago
This is the full page plz help
Scorpion4ik [409]
Angle 1 is congruent to angles 3, 5, and/or 7

Angle 2 is congruent to angles 4, 6, and/or 8

Angle 5 is congruent to angles 7, 3 and/or 1

Angle 6 is congruent to angles 8, 4, and/or 2

Any of these answers could work for the blanks.


Angles 1 and 3, 2 and 4, 5 and 7, and angles 6 and 8 are congruent because they are vertical angles. They have the same vertex. Not all of these are congruent to each other if this doesn’t make sense. It’s only 1 is congruent to 3, 2 congruent to 4, etc.

Then you have your corresponding angles. These are ones like angles 2 and 6, then 1 and 5. You can also have 8 and 4, or 7 and 3 as corresponding angles

Transversal angles are different. This would be like angles 3 and 4, or 1 and 2. They are not always congruent. The only time they will be congruent is if they are both 90°. Transversal angles are essentially supplementary angles on the transversal line (the line that intersects through the set of parallel lines)












3 0
3 years ago
X+4.9=7.28 x= what is the answer
Mandarinka [93]

Answer:

2.38

Step-by-step explanation:

subtract 4.9 on both sides

8 0
3 years ago
Read 2 more answers
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probabi
Ksenya-84 [330]

Answer:

Proved,

P(A∪B)=0.72

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Probability( catch the bus to the shop ), P(A) = 0.4

Probability( catch the bus from the shop ), P(B) = 0.7

Both A and B are independent events.

Therefore,

P(A∩B) = 0.4×0.7

           = 0.28

Probability Sue walks one way = 1 - P(A∩B)

                                                   = 1 - 0.28

                                                   = 0.72

Hence, the probability that Sue walks at one way is 0.72

3 0
2 years ago
Find the following values from the information given<br> cot(theta°); tan(theta°) = −0.0005
Greeley [361]

Answer:

cot(θ°) = 2000 radians

Step-by-step explanation:

Data provided in the question:

The value of tan(θ°) = −0.0005

To solve:

cot(θ°)

Now,

we know the relation between cot and tan function as:

cot(θ°) = \frac{1}{\tan\theta}

therefore on substituting the value of theta in the above relation, we can find the value of cot(θ°)

Thus,

cot(θ°) = \frac{1}{-0.0005}

or

cot(θ°) = 2000

5 0
2 years ago
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