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Alborosie
3 years ago
15

Order the following numbers from least to greatest

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

-5 4/5 -5.42 5.24 5 5/6

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A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours
bekas [8.4K]

Answer:             1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

<h2>Unit Rate</h2>

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let <em>x</em> be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.

<h3>Find the scale factor</h3>

Start with the proportion.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

To find the scale factor,

  1. Take the denominator from the fraction with a variable: 1\ hr
  2. Take the denominator from the fraction that has no variable:  \frac{1}{3}\ hr
  3. Divide step 1 by step 2 and solve:  1\ hr\ \div\ \frac{1}{3}\ hr = 3

Our scale factor is <u>3</u>.

<h3>Solve for x</h3>

We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}

Simplify 3/30 by dividing the fraction by 3.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

7 0
2 years ago
Please Help.<br> Write the equation of linear Inequalities to represent each graph.
DerKrebs [107]

Green Line:

This is a horizontal line at x = 0, so it would be:

x ? 0      

Since the shaded area is going to the left of 0 (this means x is negative):

x ≤ 0


Blue Line:

The shaded area is below the line, so:

y ≤ mx + b

When x = 0, y is -5.

y ≤ mx - 5

From each point, you go up 3 units, and to the right 4 units, so the slope is \frac{3}{4}.


y\leq \frac{3}{4}x-5

7 0
3 years ago
What is the first step to simplify the equation 152 – 12x +7=4
Aleks04 [339]

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
3 years ago
What is the value of g(-4) when g (x) 3 x-5 show all steps please
Damm [24]

Answer:

Substitute the x with -4 and try to solve it.

Step-by-step explanation:


8 0
3 years ago
Which fraction is equivalent to -3/2?<br><br>3/-2<br>-(3/-2)<br>-3/-2<br>-(-3/2)​
Irina18 [472]
The answer is 3/-2 hope that helps!
8 0
3 years ago
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