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kakasveta [241]
3 years ago
15

A truck has left Amsterdam with a speed of 52 mph. After 5 hours a car has left Amsterdam with a speed of 78 mph. At what distan

ce from Amsterdam will the car catch up with the truck? Answer should be in miles.
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:360 miles


Step-by-step explanation:


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Equations must be written in the following format (using the number 20 as an example): Addition x + 20 = y; Subtraction x - 20 =
inn [45]

Answer:

In the graph we can find two points, lets select:

(2, 15) and (4, 30)

Those are the first two points.

Now, for two pairs (x1, y1) (x2, y2)

The slope of the linear equation y = s*x + b that passes trough those points is:

s = (y2 - y1)/(x2 - x1)

So the slope for our equation is

s = (30 - 15)/(4 - 2) = 15/2

then our linear equation is

y = (15/2)*x + b

now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)

15 = (15/2)*2 + b = 15 + b

b = 15 - 15 = 0

then our equation is:

y = (15/2)*x

Where we used a division and a multiplication.

4 0
2 years ago
The bottom and top of a box are rectangles twice as long as they are wide. Find the volume of the box if it is four feet high an
Sav [38]

Let x = the width

then

2x = the length

:

The box dimensions: 2x by x by 4

Given the surface area:

2(2x*x) + 2(2x*4) + 2(x*4) = 220

:

4x^2 + 16x + 8x = 220


A quadratic equation:

4x^2 + 24x - 220 = 0

simplify, divide by 4

x^2 + 6x - 55 = 0

Factor

(x+11)(x-5) = 0

The positive solution is what we want here:

x = 5 ft is the width

then

2(5) = 10 ft is the length

:

Find the volume

10 * 5 * 4 = 200 cu/ft is the volume


5 0
3 years ago
7 divided by 2-4.5x3+8
lord [1]

Answer:

2-4.5×3+8=-3.8

-3.8÷7=-0.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Layla answer 21 of the 25 questions on his history test correctly.What decimal represents the fraction of problem he answer inco
valkas [14]
0.84 would be the decimal
7 0
3 years ago
you have $15,000 to invest for 5 years at 5.5% annual interest rate that is compounded continuously. how much money will you hav
MissTica

Answer:

$19,747.96

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below:

A = Pe^{rt}

<em>A = total</em>

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, lets change 5.5% into a decimal:

5.5% -> \frac{5.5}{100} -> 0.055

Next, plug in the values into the equation:

A=15,000e^{0.055(5)}

A=19,747.96

After 5 years, you will have $19,747.96

4 0
3 years ago
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