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olga2289 [7]
4 years ago
12

A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline. You ta

ke a trip of length 705 3/5 miles. How much money do you spend on gasoline?
Mathematics
1 answer:
Andreas93 [3]4 years ago
6 0

Answer:

$70.56

Step-by-step explanation:

Lets convert the mixed number (trip length) to decimal.

We know 3/5 (by long division) is 0.6, so 705  3/5th = 705.60 miles

Now, let's come to the problem:

1 gallon = 28.8 miles (mileage)

or

$2.96 = 28.8 miles

To find cost per mile, we divide:

\frac{2.96}{28.8}=0.10

That means, it costs $0.10 per mile

Since we want to travel 705.60 miles, we multiply to find the cost:

$0.10 per mile * 705.60 miles = $70.56

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Zamir needs to determine the height of the building
Svetach [21]

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = \frac{CD}{CE}

CD = CE × \frac{1}{2}

CD = \frac{29}{2}

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

                     = 115.4 ft

6 0
3 years ago
Line Equation from Two Points
Verdich [7]

Hi!

We can use <u>point-slope form </u>to solve this.

y-y_{1} =m(x -x_{1})

y_{1}<em> and </em>x_{1}<em> will be from one of the points.</em>

<u>First, we have to find </u>m<u>, the slope. We can use the slope equation to get this.</u>

\frac{y_{1} -y_{2} }{x_{1} -x_{2} }

<em>Plug in your points:</em>

\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}

Your slope is \frac{1}{4}

<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>

y-4=\frac{1}{4} (x-8)

Now, if you want to get it into y = mx + b form, you have to solve for y:

y-4=\frac{1}{4} (x-8)

y-4=\frac{1}{4} x-2

y=\frac{1}{4} +2

Your equation is y=\frac{1}{4} +2

<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>

brainly.com/question/986503

7 0
2 years ago
I need help again please help me with this question
Anestetic [448]

Answer:

<em>The size of a sundae and the amount of calories it contains.</em>

Step-by-step explanation:

The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.

When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all

5 0
3 years ago
Solve the equation and determine the value of t. t + 38 = 420
Valentin [98]

Answer:

t=382

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
4x - 5y = 15<br> find the slope and y-intercept
Mazyrski [523]

Answer:

slope=4/5

y-intercept = -3

Step-by-step explanation:

first we need to rewrite the expression to

y=mx+b

were b is the y-intercept and m the slope

4x-5y=15\\\\4x-5y+5y=15+5y\\\\4x+0=15+5y\\\\4x=5(3)+5(y)\\\\4x=5(3+y)\\\\\frac{1}{5}*4x= \frac{1}{5}*5(3+y) \\\\\frac{4x}{5}=3+y\\\\\frac{4x}{5} -3=3+y-3\\\\\frac{4x}{5} -3=y+0\\\\y=\frac{4x}{5} -3\\\\y=\frac{4}{5}x-3

so there we have it

m=\frac{4}{5} \\\\b=-3

6 0
4 years ago
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