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2 years ago

The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.

Mathematics

2 answers:

Harlamova29_29 [7]2 years ago

7 0

Option D is the correct answer.

Explanation:

As given, if the car is returned with a fuel level below the mentioned level, it will be completely re-fueled and the cost will be added to Tim's total bill.

As, the fuel needed to fill the car is 11.75 gallons and cost of a gallon is $4.50, so total cost becomes

= $11.75\times4.50=52.875$

And the cost of re fueling is $5, so total cost becomes = $52.875+5=57.875$ ≈ $57.88

So, total cost is $57.88 (option D)

vitfil [10]2 years ago

4 0

Answer:

b. $31.44

Step-by-step explanation:

The tank holds 11.75 gallons. Tim will need to get half of this amount to bring the tank back up to half full; this is

11.75/2 = 5.875

The gas costs $4.50 per gallon; this means the cost is

5.875(4.50) = 26.4375 ≈ 26.44.

There is also a $5 refueling charge; this makes the total cost

26.44+5 = 31.44

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It’s linear so you map out the first differences and then put it into y=Mx+b form. For the you gotta find the y intercept

Alika [10]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's find the slope (m) :

$\dfrac{y2 - y1}{x2 - x1}$

$\dfrac{16 - 11}{9 - 6}$

$\dfrac{5}{3}$

slope of given line is 5/3

now, let's plug the value of coordinates of a point lying on the line ( for example : (6 , 11) and slope (m) to find the y - intercept (c) :

$y = mx + c$

$11 = \bigg(\dfrac{5}{ 3} \times 6 \bigg) + c$

$11 = (5 \times 2) + c$

$11 = 10 + c$

$c = 11 - 10$

$c = 1$

value of y - intercept (c) = 1, so our equation will be :

$y = mx + c$

$y = \dfrac{5}{3}x + 1$

6 0

1 year ago

Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.

motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0

2 years ago

Plzz help me with thsi quistion

Salsk061 [2.6K]

Answer:

98 ft

Step-by-step explanation:

14x7

=98 ft

8 0

2 years ago

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Abner wants to create a shopping budget where he spends less than $80 per month on clothes. He also wants to spend at least thre

strojnjashka [21]

Answer:

D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.

Step-by-step explanation:

In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.

So it would appear as s ≥ 3g.

If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.

60 ≥ 3(20)

60 ≥ 60. These numbers make the linear system true.

If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥ 3g and plug in each variable from the answer choices until you find the variables that make the linear system true.

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2 years ago

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One-sixth the sum of eight and a number

Aleks04 [339]

Step-by-step explanation:

Let the number be x.

1 =8 + x

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1=48+6x

1-48=6x

-47=6x

6. 6 x = -7 5

x is equal to minus seven whole number five divided by six.

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2 years ago