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Cerrena [4.2K]
2 years ago
9

A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form e

s027-1.jpg to determine the amount to charge each customer. What is the value of m in the equation?
Mathematics
2 answers:
sasho [114]2 years ago
5 0
M=slope
In this case the slope would be $25
y=mx+b
y=25x+45

Answer: m=25
Keith_Richards [23]2 years ago
5 0

Answer:

Value of m is 25.

Step-by-step explanation:

Given:

Permanent charge of Plumber = $ 45

Amount per hour of labor = $ 25

Plumber uses the Equation,

Total Amount, y = mx + c

To find: Value of m in the equation.

Let x be the number of hour of labor of the Plumber.

Then cost of labor = 25 × x = 25x

⇒ Total Amount of Plumber = 25x + 45

So, y = 25x + 45

So comparing with given equation,

m = 25

Therefore, Value of m is 25.

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Seventy cards are numbered 1 through 70, one number per card. One card is randomly selected from the deck. What is the probabili
miskamm [114]

Given:

Seventy cards are numbered 1 through 70, one number per card. One card is randomly selected from the deck.

To find:

The probability that the number drawn is a multiple of 3 and a multiple of 5.

Solution:

Total number from 1 to 70 = 70

Multiple of 3 from 1 to 70 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69.

Multiple of 5 from 1 to 70 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70.

Numbers which are multiply of both number 3 and 5 = 15, 30, 45, 60

Number of favorable outcomes = 4

Probability=\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}

Probability=\dfrac{4}{70}

Probability=\dfrac{2}{35}

Therefore, the required probability is \dfrac{2}{35}.

7 0
2 years ago
Select the correct answer.
LUCKY_DIMON [66]

Answer:

A

Step-by-step explanation:

because the points in the plot point graph are all close to the line which indicates a strong association.

Also the slope isn't closer to 0 than to 1 so that eliminates those answers.

3 0
2 years ago
Multiple 7/9 to the sum of 8 3/7 and 5 11/14
Brums [2.3K]

\frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) =  \\

\frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14}   ) =  \\

\frac{7}{9} \times (13 \frac{6 + 11}{14}) =  \\

\frac{7}{9}  \times (13 \frac{17}{14}) =  \\

\frac{7}{9} \times (14 \frac{3}{14}) =  \\

\frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) =  \\

\frac{7}{9} \times ( \frac{42 + 3}{14}) =  \\

\frac{7}{9} \times ( \frac{45}{14}) =  \frac{7 \times 45}{9 \times 14} =  \frac{5}{2}  \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0
2 years ago
Read 2 more answers
Page:<br>If A+B+C=180 , then prove that:cosA+cosB+cosC= 1+4SINA/2SINB/2SINC/2​
lakkis [162]

Answer:

A + B + C = π ...... (1)

...........................................................................................................

L.H.S.

= ( cos A + cos B ) + cos C

= { 2 · cos[ ( A+B) / 2 ] · cos [ ( A-B) / 2 ] } + cos C

= { 2 · cos [ (π/2) - (C/2) ] · cos [ (A-B) / 2 ] } + cos C

= { 2 · sin( C/2 ) · cos [ (A-B) / 2 ] } + { 1 - 2 · sin² ( C/2 ) }

= 1 + 2 sin ( C/2 )· { cos [ (A -B) / 2 ] - sin ( C/2 ) }

= 1 + 2 sin ( C/2 )· { cos [ (A-B) / 2 ] - sin [ (π/2) - ( (A+B)/2 ) ] }

= 1 + 2 sin ( C/2 )· { cos [ (A-B) / 2 ] - cos [ (A+B)/ 2 ] }

= 1 + 2 sin ( C/2 )· 2 sin ( A/2 )· sin( B/2 ) ... ... ... (2)

= 1 + 4 sin(A/2) sin(B/2) sin(C/2)

= R.H.S. ............................. Q.E.D.

...........................................................................................................

In step (2), we used the Factorization formula

cos x - cos y = 2 sin [ (x+y)/2 ] · sin [ (y-x)/2 ]

Step-by-step explanation:

6 0
2 years ago
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of g
pentagon [3]

Answer: Store B

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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