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Montano1993 [528]
4 years ago
15

Express the fractions 3/4,7/16 and 5/8 with LCD

Mathematics
1 answer:
Nikitich [7]4 years ago
4 0

The least common multiple of the three denominators is 16 because:

4 \times 4 = 16 \\ 16 \times 1 = 16 \\ 8 \times 2 = 16

Change the fractions so that each fraction has a denominator of 16.

\frac{3 \times 4}{4 \times 4} = \frac{12}{16}

\frac{7 \times 1}{16 \times 1} = \frac{7}{16}

\frac{5 \times 2}{8 \times 2} = \frac{10}{16}

____________________________________________________

1. \frac{12}{16} \\ \\ 2. \frac{7}{16} \\ \\ 3. \frac{10}{16}

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Some of the children at a school arrive by car.
scZoUnD [109]

Answer:

  • <u>74%</u>

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

               Car         No car      Total

Boys

Girl

Total

Fill the table

  • <em>30% of the children at the school are boys</em>

             Car         No car      Total

Boys                                       30%

Girl

Total

  • <em>60% of the boys at the school arrive by car</em>

That is 60% of 30% = 0.6 × 30% = 18%

             Car         No car      Total

Boys      18%                         30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total

Also, you know that the grand total is 100%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

             Car         No car      Total

Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

  • <em>80% of the girls at the school arrive by car</em>

That is 80% of  70% = 0.8 × 70% = 56%

             Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

             Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that  arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

8 0
3 years ago
Help i need an answer please dont answer if you are not positive
spayn [35]
What is the area of the shaded region and the circle inside?

r=20,1m+13,2m=33,3m
A_1=\pi r^2
A_1=33,3^2\pi
A_1=1108,89\pi

What is the area of the circle inside?

A_2=20,1^2\pi
A_2=404,01\pi

What is the area of the shaded region?

1108,89\pi -404,01\pi =704,88\pi
704,88\pi \approx 704,88*3,14\approx 2213,3232\approx \underline{2213,32}

The answer: 2213,32 :)
5 0
3 years ago
4x-9y=9
Alexxandr [17]
Multiply both sides of the second equation by 4. That will give you -4x in the second equation which when added to 4x of the first equation will eliminate x.

Second equation:
-x + 3y = 6

Multiply the second equation by 4 on both sides:
-4x + 12y = 26
5 0
3 years ago
1-9.
abruzzese [7]
Uhh I think it's B or c
8 0
3 years ago
Read 2 more answers
A car travels at a speed of 55 miles per hour. How far will it travel in 5 hours?
kiruha [24]

Answer:

55*5=275

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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