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Dovator [93]
3 years ago
7

in a church, the ratio of adults to children is 6 to 11. if there are 306 people in the church, how many children are there?

Mathematics
1 answer:
serg [7]3 years ago
7 0

Answer:

198

Step-by-step explanation:

If the ratio of adults to children is 6:11, then 6/17 of the people are adults and 11/17 of the people are children.

11/17 × 306 = 198

There are 198 children.

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A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e
Alona [7]

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.

Then the point has a linear speed of

(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s

5 0
3 years ago
{(1,4), (3,2).(-3,-2),(1,2).(-2,-3)} function or no funtions​
Nana76 [90]

Answer: not a function

Step-by-step explanation:

every x input must have only one y output.

(x,y)

where x=1 there are two y’s y=4 and y=2

3 0
3 years ago
How many words can be formed by using the W,X,Y,Z if repetitions is not allowed?
Setler [38]

Answer:

24

Step-by-step explanation:

What you have here is a permutation, seeing as each element can only be used once.

We have 4 letters initially, so we can choose any 1 as our first letter. We have 4 choices for our first letter

However, once we choose our first letter, we can't use it anymore, so, for our second letter, we can only choose from the remaining 3 letters.

Furthermore, once we choose our second letter, we can only choose our 3rd letter from the remaining two letters we didn't choose yet.

Finally, our last letter will always be the one we didn't choose the last 3 times. So there is only one choice here.

Going off of this, we have four choices for the 1st letter, three choices for the 2nd letter, two choices for the 3rd letter, and one choice for the 4th letter

The way to calculate how many permutations we have without repetition is using factorials

N!

Where N is the number of elements you have.

In this case, it would be 4!

4! is 4 * 3 * 2 * 1

Which equals 24

If you notice, each number in 4! is the number of options we have for each choice. 4, then 3, and so on

5 0
3 years ago
In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
Joe works for a charity. Each year the charity gives money to different projects. The charity has a total of eight thousand nine
baherus [9]

Answer:

Each =\pounds 1121

Step-by-step explanation:

See comment for complete question.

Given

Total =  \pounds 8968

Projects = 8

Required

Determine the amount allotted to each

From the question, we understand that each project gets each allocation.

So, the amount of each is:

Each =\frac{Total}{Projects}

Each =\frac{\pounds 8968}{8}

Each =\pounds 1121

<em>Each project gets £1121</em>

7 0
2 years ago
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