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omeli [17]
3 years ago
15

    Solve For X 

Mathematics
1 answer:
bazaltina [42]3 years ago
7 0
\frac{3ax+2b}{c}=4d\ \ \ \ \ \ |multiply\ both\ sides\ by\ "c"\\\\3ax+2b=4cd\ \ \ \ \ \ |subtract\ 2b\ from\ both\ sides\\\\3ax=4cd-2b\ \ \ \ \ \ |divide\ both\ sides\ by\ 3a\\\\\boxed{x=\frac{4cd-2b}{3a}}
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A customer requires a car service for 80 miles,
Xelga [282]

Answer:

$25

Step-by-step explanation:

Derive an equation to represent the cost of using each ride.

Sal's Car Rides:

Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2

The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.

Thus, b = 40.

Substitute m = 2, and b = 40 into y = mx + b.

Equation for the total cost for Sal's Car Rides would be:

y = 2x + 40.

Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.

Simply substitute x = 80 in y = 2x + 40.

y = 2(80) + 40 = 200

The customer would pay $200.

Ray's Limo:

The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:

y = 2.5x + 25.

If a customer uses Ray's Limo services for 80 miles, the cost charged would be:

Substitute x = 80 in y = 2.5x + 25.

Thus:

y = 2.5(80) + 25 = 225.

The fee the customer would pay = $225 for using Ray's Limo services.

Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.

The customer would save $25.

8 0
3 years ago
How many solutions are there to the equation below?
Nata [24]
The answer is c because ther is only one value for x which is -2.5
6 0
3 years ago
Read 2 more answers
Write the equation of a line that is perpendicular to -2/7x+9 that passes through the point (4, -6)
Anna11 [10]

Answer:

7y + 2x + 34 = 0

Step-by-step explanation:

The gradient for perpendicular, m = -2/7

The formular equation, y - y1 = m(x - x1)

The equation of line through (4, -6) is:

y - (-6) = -2/7(x - 4)

y + 6 = -2x/7 + 8/7

7y + 42 + 2x - 8 = 0

7y + 2x + 34 = 0

6 0
3 years ago
Read 2 more answers
The world's population has grown at an average rate of 1.9 percent per year since 1945. There were approximately 4 billion peopl
kkurt [141]

Answer:  f(t) = 4000000000( 1 .019)^t

Step-by-step explanation:

Here, According to the question,  The population of the world is 4 billion (approx).

Again According to the question, The world's population has grown at an average rate of 1.9 percent per year since 1945.

Therefore, after 1975 the growth rate will remains same.

Thus, the population of the world after t years,

f(t) = 4000000000( 1+\frac{1.9}{100} )^t   (By the formula A = P(1+\frac{r}{100})^t )

⇒f(t) = 4000000000( 1.019 )^t

Where 1.019 is the growth rate and 4 billion is the initial population.


6 0
3 years ago
If a bloodstain has a length of 3.0cm and a width of 1.5cm what is the angle of impact?
zalisa [80]

The angle of impact is 30°

<h3>What is the angle of impact?</h3>

In a bloodstain, the angle of impact can be used to determine the appearance of the resulting bloodstain if the bloodstain has a tail or pattern.

  • Bloodstain pattern analysis is the study of bloodstains at a scene of the crime in an attempt to reconstruct the events that resulted in the bloodshed.

Mathematically;

\mathbf{Angle  \ of \  impact = sin^{-1} (\dfrac{width \ stain}{length \ stain} )}

\mathbf{Angle  \ of \  impact = sin^{-1} (\dfrac{1.5}{3.0} )}

\mathbf{Angle  \ of \  impact = 30 ^0}

Learn more about the angle of impact here:
brainly.com/question/19423063

6 0
2 years ago
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