There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Answers

Answer 1

Answer: If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

$(8yellow)/(20total) = (Xyellow)/(100total)$

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

$(8yellow)/(20total) = (Xyellow)/(100total) \n 8yellow*100total=20total*Xyellow$

Finally, solve for x:

$8yellow*100total=20total*Xyellow \n 8*100=20*x \n 800=20x \n 800/20=20x/20 \n x=40yellow$

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

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Use a property to explain why the product of a multiple of 10 and a number will have a zero in the ones place

Answers

The propriety is zero propriety. Because 0 times a number is 0

12 T=______________lb

Answers

There are 2000 pounds in one ton, so to find the amount of pounds in a set amount of tons, all we need to do is multiply the amount of tons by the amount of pounds in one ton.

12 * 2000 = 24000

There are 24,000 lbs in 12 tons.
Hope that helped! =)

There are 24,000 lb because there are 2,000 lb in one ton so to fint how many lb are in 12 tons you multiply 12 by 2,000 and you get 24,000 lb

The quotient is 71 2/3 what is the divisor

Answers

since quotient =divisor ×dividend +remainder.
here, quotient =71 2/3=215/3
therefore dividend is 3

the answer to your question is 215

What is the value of k + 12, if k = 6

Answers

The value of the equation is A = 18

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 is

Substituting the values in the equation , we get

A = k + 12 be equation (1)

when k = 6

Substituting the value of k in the equation , we get

A = 6 + 12

A = 18

Therefore , the value of k is 18

Hence , the equation is A = 18

To learn more about equations click :

brainly.com/question/19297665

#SPJ6

Plug in 6 for k, since k=6.
6+12=18
18 is your final answer.

Jonathan is making his favorite pasta dish his mom ate 2/7 of the pasta his brother ate 1/6 of the pasta how much did they eat in all.

Answers

Answer: Total part of pizza ate by both is $(19)/(42)$

Step-by-step explanation:

Since we have given that

Part of pizza ate by his mom is given by

$(2)/(7)$

Part of pizza ate by his brother is givebn by

$(1)/(6)$

total part of pizza ate by both of them is given by

$(2)/(7)+(1)/(6)\n\n=(12+7)/(42)\n\n=(19)/(42)$

Hence, total part of pizza ate by both is $(19)/(42)$

19/42
you have to add the fractions
2/7+1/7 their only common denomenator is 42 you get 12/42+7/42=19/42

What is the Answer when you Evaluate 8 P 5?

Answers

$^(n)P _(r) = (n!)/((n-r)!) \n ^(8)P _(5) = (8!)/((8-5)!) \n = (8!)/(3!) \n = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(3 * 2 * 1) \n = 8 * 7 * 6 * 5 * 4 \n = 6720$

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