Mathematics, 31.07.2019 01:00 maciemarklin3522

Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. the rest of the balloons are red. which series of calculations shows how many red balloons carter has?

Answers: 1

Show answers

Answers

Answer from: mtmtcow1122

The number of red balloons is 15.

Ratio and proportion

A ratio is an ordered pair of numbers a and b where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

Given

Carter has 60 balloons.

4/12 of the balloons are black, and

3/12 of the balloons are white.

To find

How many red balloons does Carter have?

How to calculate the number of red balloons?

The black balloon will be

$\rm Black\ balloon = \dfrac{4}{12} *60\\\\Black\ balloon = 20$

The white balloon will be

$\rm White\ balloon = \dfrac{3}{12} *60\\\\White\ balloon = 15$

Then the sum of all red, white, and black balloons is 60. Because Carter has 60 balloons.

$\begin{aligned} \rm Red + White + Black &= 60\\\rm Red + 15+20 &= 60\\\rm Red &= 15\\\end{aligned}$

Thus the number of red balloons is 15.

More about the ratio and proportion link is given below.

link

Answer from: shea3042

Let

B> black balloons
W> white balloons
R> red balloons

Step 1
calculate the amount of black balloons and white balloons
the total of balloons is 60
B=(4/12)*60=20 balloons
W=(3/12)*60=15 balloons

Step 2
calculate the amount of red balloons
R=60-[B+W]> R=60-[20+15]
R=60-(35)=25 balloons

the answer is 25 red balloons

Answer from: Quest

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

Answer from: Quest

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4

Another question on Mathematics

Mathematics, 21.06.2019 15:40

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? −5, one third , one half 5, − one third , one half 5, one third , − one half 5, one third , one half

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Big boi and travis scott are performing at the super bowl. travis scott is 62 years younger than twice big boi’s age. the sum of their ages is 70 years old. use b to represent big boi’s age. write and solve an equation.

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.

Answers: 2

Answer

Mathematics, 22.06.2019 01:20

1. why is a frequency distribution useful? it allows researchers to see the "shape" of the data. it tells researchers how often the mean occurs in a set of data. it can visually identify the mean. it ignores outliers. 2. the is defined by its mean and standard deviation alone. normal distribution frequency distribution median distribution marginal distribution 3. approximately % of the data in a given sample falls within three standard deviations of the mean if it is normally distributed. 95 68 34 99 4. a data set is said to be if the mean of the data is greater than the median of the data. normally distributed frequency distributed right-skewed left-skewed

Answers: 2

Answer

You know the right answer?

Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. the rest...

Questions