Eighteen is 60% of what number?

Answers

Answer 1

Answer: 18 = 0.6n
18/0.6 = n
30 = n

OR you could use fractions...
18/n = 60%/100%
18/n = 3/5
Cross Multiply Then Divide...

18*5/3 = n
to get n = 30

You could find out 1% = 18 ÷ 60 = 0.3
100% = 100 x 1% = 100 x 0.3 = 30
the answer is 30

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There are 7 people at a party. If each person shakes the hand of everyone exactly once, how many handshakes will take place

Answers

Call the number of people $n$ .

Looking at the first person, they can shake hands with $n-1$ other people (since they can't shake hands with themselves.)

For the second person, they can shake hands with $n-2$ other people. (They can't shake hands with themselves and they already shook with Person 1, on Person 1's turn.

If we carry on this way we see that the total number of shakes is given by:
$(n-1)+(n-2)+...+2+1$ which simplifies to: $(n(n-1))/(2)$ .

For $n=7$ we then have:
$S=(7(7-1))/(2)=(7(6))/(2)=(42)/(2)=21$
OR
$S=(7-1)+(7-2)+(7-3)+(7-4)+(7-5)+(7-6)=6+5+4+3+3+2+1=21$

There will be 42 handshakes

Help me solve this10 elves each made 10 xylophones. Each xylophone had 10 keys. They did this for 10 days.How many keys were made by the elves? Show in exponential form and solve.

Answers

The solution is 10⁴ keys

The number of keys made by the elves is given by the equation A = 10⁴

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A = number of keys made by the elves

Let the number of elves = 10 elves

Let the number of xylophones made by each elves = 10 xylophones

So ,

The number of xylophones made by 10 elves = 10 x number of xylophones made by each elves

The number of xylophones made by 10 elves = 10 x 10

The number of xylophones made by 10 elves = 10²

Now ,

Let the number of keys for each xylophones = 10 keys

So ,

The number of keys for 10² xylophones = 10 x number of keys for each xylophones

The number of keys for 10² xylophones = 10² x 10

The number of keys for 10² xylophones = 10³ keys

Now ,

The total number of days = 10 days

So ,

The total number of keys A = The number of keys for 10² xylophones x The total number of days

Substituting the values in the equation , we get

The total number of keys A = 10³ x 10

On simplifying the equation , we get

The total number of keys A = 10⁴ keys

Therefore , the value of A is 10⁴ keys

Hence , the number of keys is 10⁴ keys

To learn more about equations click :

brainly.com/question/19297665

#SPJ2

10 x 10 x 10 x 10=10^4=10,000 keys
Hope this helps!!

Can you show me how to reduce 99/143?

Answers

To reduce a fraction fully, divide the denominator and numerator by their greatest common factor.

Factors of 99: 1, 3, 9, 11, 33, 99
Factors of 143: 1, 11, 13, 143
Common Factors: 1, 11
Great Common Factor: 11

$(99)/(11)=9 \n \n (143)/(11)=13 \n \n (99)/(143) = (9)/(13)$

$99|3\n33|3\n11|11\n.\ 1|\n99=3*3*\fbox{11}\n\n143|11\n.\ 13|13\n.\ \ 1|\n143=\fbox{11}*13\n\ntherefore:(99)/(143)=\frac{3*3*\fbox{11}}{13*\fbox{11}}=(3*3)/(13)=\boxed{\boxed{(9)/(13)}}$

What percent of 50 is 47

Answers

50 * n% = 47

n% = 47/50

n % = .94

94%

so 50 * 94 % = 47

& 50 - 94% = 3

& 50 - 6% = 47

& 50 * 6% = 3
I think i helped you :-)

47/50
multiply by 2 both sides
94/100

Find the leg of each isosceles right triangle when the hypotenuse is given the measure 12 cm

Answers

Answer:16.97cm

Step-by-step explanation:

To find the hypotenuse side of an isosceles of side 12cm each

Using pythagoras theorem

hyp^2=opp^2+adj^2

hyp^2=12^2+12^2

Hyp^2=144+144

hyp=√288

Hyp=16.97cm

During c basketball game, Deshown made 24 baskets out of 30 shots. Cody made 18 basketsout of 20 shots Who mode a greater percent of their shots?
What percent of his shots did DeShawn make?
?
% of his shots