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Dmitry [639]
3 years ago
11

A car is traveling at a steady speed. It travels 2 1/2

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

Answer:

It will travel

33 \frac{1}{4}  \: miles

in 45 minutes.

Step-by-step explanation:

We can solve using proportions.

\frac{ 2\frac{1}{2} \: miles}{ 3\frac{1}{3} \: minutes}  =  \frac{x}{45 \: minutes} \\  \\  \frac{ 3\frac{1}{3} x}{ 3\frac{1}{3} }  =   \frac{ 112\frac{1}{2} }{ 3\frac{1}{3} }    \\  \\  x = 33\frac{3}{4}

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Make a table of values and create a line of best fit
Anni [7]
<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}

As you can see, x increases in steps of 1 units. So let's check the difference in y:

\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope

Then:

k=\frac{2-0}{1-0}=2

Finally, the equation of the line is:

\boxed{y=2x}

4 0
3 years ago
2.<br> what do i put im confused and dont know how to do this
Paha777 [63]

Answer:

Step-by-step explanation:

The two dots on the bottom of this figure define the base of a triangle.  If we now use a compass to draw the blue arcs on either side, as shown, the arcs will intersect at two points.  A straight line drawn through these two points will be perpendicular to the base. The triangle will be isosceles and could be (but doesn't have to be) equilateral.

3 0
3 years ago
3 solutions to y=-5x+1
Luda [366]
Y = -5x + 1

x = 1 , y = -4
x = 2 , y = -9
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so the answers are
(1,-4) 
(2,-9)
(3,-14)
7 0
3 years ago
In the rectangle
LekaFEV [45]
In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.

If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.

Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.

Make sure you draw a diagram of it!!
7 0
3 years ago
Read 2 more answers
Simplify each expression:<br> -(14 + x)
bearhunter [10]

Answer:

-14-x

Step-by-step explanation:

Distribute the negative.

7 0
3 years ago
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