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zzz [600]
1 year ago
10

What is the difference of the fractions? Use the number line to help find the answer

Mathematics
1 answer:
alisha [4.7K]1 year ago
7 0

Answer:

-7/10

Explanation:

Given the expression

\frac{1}{2}-1\frac{1}{5}

We can rewrite the expression as:

\frac{1}{2}-\frac{6}{5}=\frac{5}{10}-\frac{12}{10}

The number line showing the location of the two numbers is attached below. Therefore:

\frac{5}{10}-\frac{12}{10}=-\frac{7}{10}

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For a certain​ candy, 20​% of the pieces are​ yellow, 15​% are​ red, 20​% are​ blue, 20​% are​ green, and the rest are brown. ​a
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Answer:

Step-by-step explanation:

Based on the question we are given the percentages of each of the types of candies in the bag except for brown. Since the sum of all the percentages equals 75% and brown is the remaining percent then we can calculate that brown is (100-75 = 25%) 25% of the bag. Now we can show the probabilities of getting a certain type of candy by placing the percentages over the total percentage (100%).

  • Brown: \frac{25}{100}
  • Yellow or Blue: \frac{20}{100} +\frac{20}{100} = \frac{40}{100}  ....add the numerators
  • Not Green:  \frac{80}{100}.... since the sum of all the rest is 80%
  • Stiped:  \frac{25}{100} .... there are 0 striped candies.

Assuming the <u><em>ratios/percentages</em></u> of the candies stay the same having an infinite amount of candy will not affect the probabilities. That being said in order to calculate consecutive probability of getting 3 of a certain type in a row we have to multiply the probabilities together. This is calculated by multiplying the numerators with numerators and denominators with denominators.

  • 3 Browns: \frac{25*25*25}{100*100*100} = \frac{15,625}{1,000,000} = \frac{1.5625}{100}

  • the 1st and 3rd are red while the middle is any. We multiply 15% * (total of all minus red which is 85%) * 15% like so.

\frac{15*85*15}{100*100*100} = \frac{19,125}{1,000,000} = \frac{1.9125}{100}

  • None are Yellow: multiply the percent of all minus yellow three times.

\frac{80*80*80}{100*100*100} = \frac{512,000}{1,000,000} = \frac{51.2}{100}

  • At least 1 green: multiply the percent of green by 100% twice, since the other two can by any

\frac{20*100*100}{100*100*100} = \frac{200,000}{1,000,000} = \frac{20}{100}

4 0
3 years ago
It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h&lt
DENIUS [597]
Answer:
A. 3.5
Explanation:
3.5 x 4 = 14
4 0
3 years ago
A farmer had 1,000 horses and cows. After selling some of them, he had 550 horses and 350 cows left. How many horses and cows di
ipn [44]
The farmer had sold 100 horses and cows
5 0
3 years ago
Suppose that a rectangular picture is surrounded by a frame of uniform width of x
user100 [1]

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!

3 0
3 years ago
-0.38 (8 repeating) written as a fraction is _____.
natulia [17]

Answer:

\frac{7}{18}

Step-by-step explanation:

We first let 0.38 (8 being repeated) be T.

Since z is recurring in 1 decimal places, we multiply it by 10. 10z = 3.88

Next, we subtract them. 10 r T 3.88 0.38 9x 3.5

Lastly, we divide both sides by 9 to get IC as a fraction. 3.5 T 9 35 90 7 18

7 0
3 years ago
Read 2 more answers
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