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mafiozo [28]
4 years ago
11

The ratio of boys to girls in a school chorus is 6:3. If 1/2 of the boys and 1/3 of the girls wore hats in the performance, what

fraction of children wore hats?
Mathematics
1 answer:
Nikitich [7]4 years ago
5 0
6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats

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Rainbow [258]
The range of the sine function is [-1,1], so:

x^2-6x+10\geq-1 \wedge x^2-6x+10 \leq1\\\\&#10;x^2-6x+10\geq-1\\&#10;x^2-6x+11\geq0\\&#10;\Delta=(-6)^2-4\cdot1\cdot11=36-44=-8\\&#10;x\in \mathbb{R}\\\\&#10;x^2-6x+10\leq1\\&#10;x^2-6x+9\leq0\\&#10;(x-3)^2\leq0\\&#10;(x-3)^2=0\\&#10;x-3=0\\&#10;x=3\\\\&#10;x\in \mathbb{R} \wedge x=3\\&#10;x=3&#10;

So 3 is the only possible value the function x^2-6x+10 can take as an argument. Let's see if 3 is a solution.

\sin\dfrac{\pi\cdot3}{6}=3^2-6\cdot3+10\\&#10;\sin \dfrac{\pi}{2}=9-18+10\\&#10;1=1&#10;

Therefore it is :)
5 0
3 years ago
Part 2: Find the volume of the shipping box using the total number of fish food cubes.
Vikentia [17]

Answer:

fish food = 1/64 boxes =585/16

Step-by-step explanation:

5 0
3 years ago
select the correct answer a staircase of 30 meters. in length is supported on the wall. The foot of the ladder is 18 meters from
serious [3.7K]

Answer:

i think answer is 16m .................

7 0
3 years ago
In​ 2016, there were about 46 comma 500 cinema screens in a country. If about 32.6​% of the total screens in the country were di
Akimi4 [234]

Answer:

15,159

Step-by-step explanation:

No, of cinema screen in the country in 2016 = 46,500

percentage of digital​ 3-D screens = 32.6​%

No. of  digital​ 3-D screens in numbers = total No, of cinema screen in the country * percentage of digital​ 3-D screens

No. of  digital​ 3-D screens in numbers = 46,500 * 32.6​%

 = 46,500 * 32.6​/100 = 15,159.

No. of  digital​ 3-D screens in 2016 is 15,159.

4 0
3 years ago
36+42=6(6+?) what unknown number makes. the equation true ?
tatuchka [14]

Answer:

36+42=6(6+7)

Step-by-step explanation:

6x6 is 36 and 6 times 7 is 42.

The distributive property makes this equation true.

Multiply the term outside of the parentheses by each term in the parentheses and then add both terms. In this case the terms are 36 and 42.

3 0
3 years ago
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