Please help meeeeeeeeeee!

Two angles are complementary, and the larger one is 14 degrees more than smaller one. find the agles

IrinaK [193]

Answer: 83 and 97

Step-by-step explanation:

x+x+14=180

2x+14=180

2x=180-14

2x=166

x=83

83+14=97

5 0

2 years ago

Let x and y be independent each uniformly distributed on {1,2,...,n} find p(x < y )

bulgar [2K]

If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y

y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =

We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)

However, if the sample space is continuous, it will be simply p(x<y)=1/2.

8 0

2 years ago

Write and solve an equation for the following.

Alenkinab [10]

Answer:

4+ $\frac{1}{2}$ x = 3

Step-by-step explanation:

4 + $\frac{1}{2}$ x = 3 (subtract 4 from both sides)

$\frac{1}{2}$ x = -1 (multiply both sides by 2)

x = -2

5 0

2 years ago

Read 2 more answers

Ben, Tim, and Sam have to do a certain job. Ben can finish the job in 5 hours. Tim can finish the job in 6 hours. Sam can finish

Brut [27]

x is 7.5 hours

Step-by-step explanation:

Ben, Tim, and Sam have to do a certain job

Ben can finish the job in 5 hours
Tim can finish the job in 6 hours
Sam can finish the job in x hours
The three of them can finish the job in 2 hours if they work together

We need to find x

∵ Ben can finish the job in 5 hours

∴ The rate of Ben = $\frac{1}{5}$

∵ Tim can finish the job in 6 hours

∴ The rate of Tim = $\frac{1}{6}$

∵ Sam can finish the job in x hours

∴ The rate of Sam = $\frac{1}{x}$

They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2

∵ They can finish the job in 2 hours if they work together

∴ $\frac{1}{5}+\frac{1}{6}+\frac{1}{x}=\frac{1}{2}$

To add the fractions find the LCM for all denominators to make all fractions with same denominators

∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,

- Divide it by each denominator to find the new numerators

∵ 30 x ÷ 5 = 6 x , 30 x ÷ 6 = 5 x , 30 x ÷ x = 30

- Change all the denominators to 30 x and then write the new

numerators of each fraction

∴ $\frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}$

Add the numerators and put the sum over 30 x

∵ $\frac{11x+30}{30x}=\frac{1}{2}$

- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

- Simplify the both sides

∴ 22 x + 60 = 30 x

- Subtract 22 x from both sides

∴ 60 = 8 x

- Divide both sides by 8

∴ 7.5 = x

∴ The value of x is 7.5 hours

x is 7.5 hours

Learn more:

You can learn more about the word problems in brainly.com/question/10712420

#LearnwithBrainly

5 0

3 years ago

A recipe calls for 1/2 cup of celery,2 1/3 of water and 3/4 cups of carrots. What the combined amont of these three ingredients?

lys-0071 [83]

Answer:

43/12

Step-by-step explanation:

First we must find a common denominator for all 3 fractions, 1/2 cup, 2 1/3 cup, and 3/4 cup all share 12 as a common denominator.

However, let's convert 2 1/3 cup into an improper fraction: there are 2 (3/3 cups) here multiply (3/3) and (2/1) you get 6/3. Finally, add the remaining 1/3 to 6/3 and you get 7/3.

Now, to get all these fractions to have the same common denominator.

(1/2) ×(6/6)=(6/12)

(7/3)×(4/4)=(28/12)

(3/4)×(3/3)=(9/12)

Add them all together and your answer is: (43/12)

7 0

3 years ago