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scoundrel [369]
3 years ago
12

Steve cycled 35 miles in 2 1/2 hours. What is the average speed that Steve traveled? miles per hour

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

14 miles per hour

Step-by-step explanation:

The average speed would be the total distance divided by the total time = 35 miles divided by 2.5 hours is 14 miles per hour

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Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=
RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

6 0
3 years ago
Draw 8 lines that are between 1 inch and 3 inches long. Measure each line to the nearest fourth inch, and make a line plot.
IRISSAK [1]

The length of the line is the difference between the endpoints of the line

The length of each line to the nearest fourth inch is 0.25 inch

<h3>How to measure the length of each line</h3>

The length of the horizontal line is given as:

Length = 2 inches

This is calculated as:

Length = 3 inches - 1 inch

Length = 2 inches

8 lines are to be drawn between the 1 inch and 3 inches point.

So, the length (l) of each line is:

l = \frac{2\ inches}{8}

Simplify the fraction

l = \frac{1\ inches}{4}

Divide

l = 0.25\ inch

Hence, the length of each line to the nearest fourth inch is 0.25 inch

Read more about line measurements at:

brainly.com/question/14366932

6 0
2 years ago
What is the answer to -6&lt;21
adell [148]

Answer:

Step-by-step explanation:

I've already answered this question.

8 0
3 years ago
Much like sound bites of news​ stories, statistical studies are often reduced to​ one- or​ two-sentence "stat-bites." For the​st
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

Given that According to a video streaming​ service, 48% of American couples are​ "cheaters", that is—they promise each other to watch a film​together, but one of them first watches it alone.

Here if this is binomial with two outcomes we can easily say that the other 52% couples go together movies.

But here there are not only two outcomes.

The other possibilities are:

i) Either both do not go to movies

ii) Both cheat and go to movies separately

Thus since there are not exactly two outcomes, we cannot say the other 52% go to movies together.

As much as say that 52% of couples are not cheating in this way.

8 0
3 years ago
One bag of lawn &amp; garden fertilizer covers a 1 000 square feet of lawn. How many bags of fertilizer must you purchase to cov
Lady bird [3.3K]
220 x 440 = 96800

96800/1000=96.8

but you can't have .8 of a bag so round in up to 97 bags


I hope this helps!
8 0
3 years ago
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