Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answers

Answer 1

Answer: If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Answer 2

Answer:

Answer: The required coordinate pair is given by

$(x,y)=(3.2,12)$

Step-by-step explanation:

Since we have given that

Total cost of the gas put in his car = $12

Cost of gas per gallon = $3.75

Let the total cost of the gas be 'y'.

Let the number of gallons of gas be 'x'.

According to question, number of gallons of gas is given by

$\frac{\text{Total cost}}{\text{Cost of gas per gallon}}\n\n=(12)/(3.75)\n\n=3.2$

So, the number of gallons is 3.2 approximately.

Hence, the required coordinate pair is given by

$(x,y)=(3.2,12)$

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Find the gradient of the line segment between the points (-2,3) and (-4,-2).Give your answer in its simplest form.

Answers

Given:

The two points are (-2,3) and (-4,-2).

To find:

The gradient of the line segment between the given points.

Solution:

The gradient is also known as slope.

The slope formula:

$m=(y_2-y_1)/(x_2-x_1)$

The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is

$m=(-2-3)/(-4-(-2))$

$m=(-5)/(-4+2)$

$m=(-5)/(-2)$

$m=(5)/(2)$

Therefore, the gradient of the given line segment is $m=(5)/(2)$ .

How many feet per hour is 200cm per minute ?

Answers

Answer:

393.7 feet per hr

Step-by-step explanation:

200cm per min

12000cm per hr

cm to feet. divide by 30.48

393.7 ft per hr

the answer is 393 feet per hour

Which of these data sets is symmetrical?A) 1,8,15,15,15,22,22,22,29,36,43
B) 1,8,15,22,22,22,29,29,29,36,43
C) 1,8,15,15,22,22,22,29,29,36,43
D) 1,1,15,15,22,22,22,29,29,36,43

Answers

The answer is B

Hope this helps!

It's C. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43

Solve for x. Express the answer in simplest form.
2/1= 8x-2/9

Answers

First, you put known numbers apart ( numbers without x ) and unknown numbers apart (numbers with x ), and of course don't forget that when you move a number from a part to another, his sign change, So you get:
$(2)/(1) = 8x - (2)/(9)$
$(2)/(1) + (2)/(9) = 8x$

Now, you need to have the same denominator so you can add 2/1 and 2/9. So, you multiply 2/1 by 9, so you get:
$(2*9)/(1*9) + (2)/(9) = 8x$
$(18)/(9) + (2)/(9) = 8x$

Then you add the 2 fractions and you get:
$(20)/(9) = 8x$

Now, you divide each term by 8, so you get:
$( (20)/(9) )/(8) = (8x)/(8)$

in $(8x)/(8)$ , you removed 8 and 8 and you get x, so you get:
$( (20)/(9) )/(8) = x$

as you know, 8 = 8/1, and when you got a division of 2 fractions, you multiply the first by the inverse of the second, which means you get:
$(20)/(9) * (1)/(8) = x$

And now you multiply, so you get:
$(20*1)/(9*8)$
$(20)/(72)$

20 and 72 have a common factor, so you divide each by 4, and you get:
$(20/4)/(72/4)$
$(5)/(18)$

So, $x = (5)/(18)$

Hope this Helps! :D

2/1= 8x-2/9
2= 8x-2/9
18=72x-2
20=72x
x=20/72
x= 5/18

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Answers

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Answers

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Step-by-step explanation:

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