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vichka [17]
3 years ago
5

Explain how you know that the sum of 12.6,3.1, and 5.4 is greater than 20

Mathematics
1 answer:
ozzi3 years ago
5 0
By just looking at ur whole numbers...12 + 3 + 5 = 20...and thats not even counting ur decimals..so by adding ur decimals, u know that it will be over 20.
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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
26% of what number is 45
Katarina [22]
45/26=1.7307692307692307692307692307692...
≈1.7308
100*1.7308=173.08
The unknown number is approximately 173.08.

3 0
3 years ago
How much longer is 108 inches from 98 inches
WARRIOR [948]

Answer:

b.10 inches

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
£140 is divided between Angad, Nick &amp; June so that Angad gets twice as much as Nick, and Nick gets three times as much as Ju
Vladimir79 [104]

Answer:

  £84

Step-by-step explanation:

The given ratios are ...

  A : N = 2 : 1

  N : J = 3 : 1

Putting these together, we have ...

  A : N : J = 6 : 3 : 1

There are a total of 6+3+1 = 10 ratio units, so each is worth £140/10 = £14.

Angad's share is 6×£14 = £84.

_____

<em>Check</em>

Nick gets £42, and June gets £14. Together, they share £84 +42 +14 = £140.

3 0
3 years ago
If s= the number of stamps that sara has, which mathematical sentence expresses the information?
Monica [59]
S*x!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
7 0
3 years ago
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