a fuel mixture consists of 3 parts oil and 11 parts gasoline. the oil costs $0.75 per liter, and the gasoline costs $1.60 per liter. a mechanic makes 392 liters of the mixture. how much should he charge for 15% profit

Answers

Answer 1

Answer:

Total selling price= $663.82

Selling price per liter= $1.69

Step-by-step explanation:

Giving the following information:

Proportion of oil and gasoline:

Oil= 3/14= 0.21

Gasoline= 11/14= 0.79

The oil costs $0.75 per liter.

The gasoline costs $1.60 per liter.

First, we need to calculate the number of liters of oil and gasoline required:

Oil= 0.21*392= 82.32 liters

Gasoline= 0.79*392= 309.68

Now, the total cost to produce 392 liters:

Total cost= 82.32*0.75 + 309.68*1.6

Total cost= $577.23

Finally, the total and unitary selling price:

Total selling price= 577.23*1.15= $663.82

Selling price per liter= 663.82 / 392= $1.69


Related Questions

Answer for fee rbux and branlest!!!! i need answer NOW or i will be DIE (not good!!!)

Answers

Answer:

its B homie

Step-by-step explanation:

U stuped

Jake has a 1 in 5 chance of winning the egg and spoon race.
what is the probability that he will NOT win the race
8%
20%
60%
80%

Answers

Answer:

Step-by-step explanation:

1 in 5 = 1/5 = 20% that he wins

Probability that he will NOT win

= 1 - 20%

= 100% -20%

= 80%

Answer:

80%

Step-by-step explanation:

percentage of winning

1/5×100%=20%

percentage of not winning

100%_20%=80%

4. A store had 86 DVDs and 52 CDs. When the equal number of DVDs and CDs were sold,
the number of DVDs left was 3 times that of the remaining CDs. How many DVDs were
left in the store?​

Answers

Answer:

51 DVDs

Step-by-step explanation:

Let the number of DVDs and CDs sold be x each.

Initial

Number of DVDs= 86

Number of CDs= 52

After selling

Number of DVDs= 86 -x

Number of CDs= 52 -x

Given that there are 3 times as many DVDs than CDs left,

86 -x= 3(52 -x)

Expand:

86 -x= 156 -3x

Bring x terms to 1 side, constant to the other:

3x -x= 156 -86

Simplify:

2x= 70

Divide both sides by 2:

x= 35

Amount of DVDs left

= 86 -x

= 86 -35

= 51

Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25

Answers

Answer:

       

Step-by-step explanation:

surface area = 4πr^2
Volume = 4πr^3/3
S/V ratio = 4πr^2 / (4πr^3/3)
= 3/r
answer 1.67 C

A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 2.00.

Answers

Answer:

False

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

[tex]\mu = 30, \sigma = 8[/tex]

Sample of 4

This means that [tex]n = 4, s = \frac{8}{\sqrt{4}} = 4[/tex]

Probability of obtaining a sample mean greater than 34:

This is 1 subtracted by the p-value of Z when X = 34. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{34 - 30}{4}[/tex]

[tex]Z = 1[/tex]

Thus, the probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 1.00, and the statement in this question is false.

How do you do?????????

Answers

Answer:

Where is the full questions?

Multiple incorrect password attempts for a single login can, of course, sometimes be suggestive of an attempt to gain unauthorized access to an account. Typically there are about 52 such attempts noted each day. An analyst examining web server logs notes what appears to be an increase in these incidents over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2. Has there been a statistically significant increase in the number of attempts? Use the standard level for alpha.

Answers

Answer:

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

Step-by-step explanation:

Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.

At the null hypothesis, we test if the mean is the same, that is of 52. Thus:

[tex]H_0: \mu = 52[/tex]

At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So

[tex]H_1: \mu > 52[/tex]

Use the standard level for alpha.

So [tex]\alpha = 0.05[/tex]

The test statistic is:

We have the standard deviation for the sample, so t-distribution.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

52 is tested at the null hypothesis:

This means that [tex]\mu = 52[/tex]

Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.

This means that [tex]n = 30, X = 57, s = 17.2[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}[/tex]

[tex]t = 1.59[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.0613.

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

help. i do not understand ​

Answers

9514 1404 393

Answer:

θ = 56°θ = 65°θ = 45°

Step-by-step explanation:

In general, you solve equations like these by getting the function of the variable by itself on one side of the equal sign. Then you use the inverse function to find the argument of the function. As in problem 3, you may have to go another step or two to get from the value of the function argument to the value of the variable.

1. We need to find sin(θ), then use the arcsine function.

  sin(θ) -0.832 = 0 . . . . given

  sin(θ) = 0.832 . . . . . . add 0.832 to both sides

  θ = arcsin(0.832) ≈ 56.305° . . . . . . use the inverse sine function to find θ

  θ ≈ 56°

__

2. 1/2cos(θ) = 0.214 . . . . given

  cos(θ) = 0.428 . . . . . . multiply by 2

  θ = arccos(0.428) ≈ 64.659° . . . . use the inverse cosine function

  θ ≈ 65°

__

3. 3tan(θ -20°) = 1.43 . . . . given

  tan(θ -20°) = 0.47666... . . . divide by 3

  θ -20° = arctan(0.47666...) . . . . use the arctan function to find θ-20°

  θ -20° ≈ 25.486°

  θ = 45.486° . . . . . . . add 20°

  θ ≈ 45°

_____

Additional comments

Scientific and graphing calculators often require use of a 2nd or SHIFT key to access the inverse trig functions. The inverse function often uses the same key on the calculator. These are generally marked with a -1 superscript: a key might be marked with sin, for example, with sin⁻¹ as its alternate function.

The trig functions of a calculator will usually deal with angles in any of several units. The most common of these are degrees, grads, and radians. Usually, you are required to set the calculator mode to make use of one or the other of these angle measures. For this problem, you need to be sure the calculator is set to degrees mode.

does anyone know the quotient of x and y

Answers

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

There you go.

Answer: The quotient of x is invisible number it can be any number depending of the equation

61 1/20 as a decimal

Answers

Answer:

61.05

Step-by-step explanation:

1/20 = 5/100 = 0.05

61+0.05 = 61.05

61.05 is the answer

Pls help Solve logx^343=3

Answers

Answer:

343 square root 1000

Step-by-step explanation:

See Image below:)

A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor Personal Friend Stay in Touch Mutual Friends Business Networking Other 600 210 105 650 224
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45

Answers

Complete Question

A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table

Factor

Personal Friend,Stay in Touch,Mutual Friends,Business Networking Other

Men           600 210 106 45 40

Women      650 224 65 15  46

What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?

a. 0.5

b. 5

c. 7.5

d. 30

e. 45

Answer:

Correct option is C

Step-by-step explanation:

From the question we are told that:

Sample

[tex]n =1,000 men+ 1,000 women[/tex]

Factor  Table

Personal Friend,Stay in Touch,Mutual Friends,Business, Networking Other

Men           600 210 105 45 40

Women      650 224 65 15  46

Generally the equation for Expected value for Men, Business and networking X is mathematically given by

[tex]X= \frac{Row Total * Column Total}{Grand Total}[/tex]

[tex]X=\frac{(600 + 210 + 105 + 45 + 40)*(45 + 15)}{(600 + 210 + 105 + 45 + 40 + 650 + 224 + 65 + 15 + 46)}[/tex]

[tex]X=30.015[/tex]

Generally the equation for Chi Contribution is mathematically given by

[tex]Y= {(45 - 30.015)^2}{30.015}[/tex]

[tex]Y=7.48[/tex]

[tex]Y \approx 7.5[/tex]

Therefore

Correct option is C

The contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

The expected value is calculated as:

[tex]X = \frac{RT * CT}{GT}[/tex]

Where:

RT represents the row total, CT represents the column total and GT represents the grand total.

For Men, Business and networking, we have:

[tex]X = \frac{(600+ 210 +105+45 + 40) * (45 + 15)}{(600 +210 +105 +45 +40 +650 +224 +65 +15 +46)}[/tex]

Evaluate the sum

[tex]X = \frac{1000 * 60}{2000}[/tex]

[tex]X = 30[/tex]

The contribution to the chi square test statistic for men who selected business networking is then calculated as:

Y = (Business Networking - X)^2 / X

This gives

[tex]Y = \frac{(45 - 30)^2}{30}[/tex]

Evaluate the difference

[tex]Y = \frac{15^2}{30}[/tex]

Evaluate the exponent

[tex]Y = \frac{225}{30}[/tex]

Evaluate the quotient

[tex]Y = 7.5[/tex]

Hence,  the contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

Read more about chi square test statistic at:

https://brainly.com/question/19959558

What is the probability of rolling a number greater than or equal to 8 with the
sum of two dice, given that at least one of the dice must show a 6?

Answers

this answer will be 9/11 :)

PLZ HELP ASAP!!!!!!!!!!!!!!

Answers

Answer:

AB = 5√55

Step-by-step explanation:

Part 1 = AD = 25

Hypotenuse = AC = 55

Leg 1 = AB = x

To find AB, apply the leg rule which is:

Hypotenuse/leg 1 = leg 1/part 1

Plug in the values

55/x = x/25

Cross multiply

x*x = 55*25

x² = 1,375

x = √1,375

x = 5√55

AB = 5√55

please help with the steps

Answers

9514 1404 393

Answer:

346.1 monthly payments; 28.8 years18.5 years; infinite years

Step-by-step explanation:

Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.

  FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years

  A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.

__

Problem 1

You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...

  log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months

  log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1

The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.

__

Problem 2

Again, solving for t, we get ...

  log(1 -Pr/(An))/(-n·log(1 +r/n)) = t

The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...

  log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years

Changing the withdrawal to $3000 per month makes the account last forever.  It earns $3150 in interest each month, so the account balance continues to increase.

The account will support withdrawals of $5000 per month for 18.5 years.

The account will support withdrawals of $3000 per month forever.

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.

Answers

Answer:

6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...

The area of a given rectangle is 216 square inches.

Given that, the perimeter of the rectangle is 84 inches.

We need to find the area of a rectangle.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of a rectangle be x.

Given, that the length of a rectangle is six times its width. So, length=6x.

Now, 84=2(6x+x)

⇒14x=84

⇒x=6 inches

Then, length=6x=36 inches.

Area of a rectangle= Length×width=36×6=216 square inches

Therefore, the area of a given rectangle is 216 square inches.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

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Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed?

Answers

11040 feet If I did that right

John joined a video game club. Newer games cost $5 to rent and older games cost $3 to rent John has $30 to spend each month. How many of each could John rent?

Answers

Answer:

6 newer games and 10 older games

Step-by-step explanation:

To find how many newer games John can purchase, we divide $30 by $5. If we do the simple math in our head, we will get the answer of 6. Therefore, the amount of newer games John can purchase is 6. Now to find the amount of older games John can buy, we apply the same strategy. We take $30 and we divide it by $3. This will get us the answer of 10. Therefore, the amount of older games John can purchase is 10.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time and good luck finding the correct answer :)

Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.

Answers

Equation:

[tex]tan(x) = \frac{opp}{adj}[/tex]

A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50.



Which equation can be used to determine the number of miles, m, to the airport?

Answers

Answer:

13.50=1.50+.6x

Step-by-step explanation:

13.50=1.50+ .6x

12=.6x

20=x

The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles

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

Let the total cost of the taxi be represented as y

Let the number of miles traveled be represented as m

Now , the total cost = $ 13.50

The number of miles = m miles

The initial cost of taxi = $ 1.50

The cost per mile = $ 0.60

So , the equation is 13.50 = 1.50 + 0.6m

Subtracting 1.50 , we get

12 = 0.6m

Divide by 0.6 , we get

m = 20 miles

Hence , the number of miles is 20 miles

To learn more about equations click :

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Please help will give brainliest answer

Answers

D none of the above

as it should be ([tex]\sqrt[5]{x}[/tex])^4

How would I figure this out?

Answers

Answer:

y = 23

x ≈ 13

Step-by-step explanation:

3y + (y+88) = 180

Solve for y

y =23

6x + 35 = y + 88

substitute y = 23

6x + 35 = 23 + 88

Solve for x

x ≈ 13


Ok in this type of problem the angles that are adjacent are equal to 180 also known as supplementary so...
6x+35+8x-23=180
14x+12=180
14x=168
x=12

3y+y+88=180
4y+88=180
4y=92
y=23
And what I think is wrong with the figure is that the vertical angles are not congruent
*double check all this info

Katy runs a day care center . So far this year , the enrollment has consisted of 2 toddlers and 8 children of other ages . Considering this data, how many of the next 20 children to enroll should you expect to be toddlers?

Answers

Answer:

You should expect 4 of the next 20 children to enroll to be toddlers.

Step-by-step explanation:

This question is solved by proportions.

So far:

We have that of 2 + 8 = 10 children, 2 are toddlers, so the proportion of toddlers is 2/10 = 0.2.

How many of the next 20 children to enroll should you expect to be toddlers?

0.2 out of 20, so: 0.2*20 = 4

You should expect 4 of the next 20 children to enroll to be toddlers.

What are the solutions to 5x2 - x-1<0?

Answers

The answer to your question is D

Answer:

See image below:)

Step-by-step explanation:

Find the particular solution of the differential equation passing through the given point.

(1+x2)dy=(x+1)ydx,(2,2)

Answers

Try this option, the answer is marked with red colour.

PLEASE HELP THIS IS DUE NOW
will mark brainliest!
10 points

Answers

the photo’s too blurry or is it just my eyes im sorry but i think it’s B

Question 1 of 10
What is the x-intercept of the function graphed below?

Answers

The "x-interept" is the point where the graph crosses the x-axis.

From here, it looks like this graph crosses the x-axis where x=2 .

So the point is  (2, 0) .

That's choice-A .

(2,0) because the point that lies on the x-axis is 2.

PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!!
The data below shows the scores of some students on a test:

29, 31, 27, 20, 25, 34, 24

Which box-and-whisker plot represents the data?

Answers

Answer:

B

Step-by-step explanation:

20,24,25,27,29,31,34

Answer:   Choice C

min = 20

Q1 = 24

median = 27

Q3 = 31

max = 34

============================================================

Explanation:

Original Data Set = {29, 31, 27, 20, 25, 34, 24}

Sorted Data Set = {20, 24, 25, 27, 29, 31, 34}

The middle-most value of the sorted set is 27, since there are 3 values above it and 3 values below. So the median is 27.

The median is represented by the vertical line inside the box. It does not have to be at the visual midpoint between the left and right edges. It simply needs to be anywhere inside the box.

So we can rule out choice B for instance because this answer choice shows a median of 25, when we want 27 instead.

Choices A, C and D all have the same median of 27.

-------------

Break up the sorted set into two smaller sets like this

L = {20, 24, 25}

U = {29, 31, 34}

L represents the set of lower values, which are smaller than the median. U is the upper set of values larger than the median. The median itself is not in L or U.

Find the median of L and U to get 24 and 31 respectively. These are the Q1 and Q3 values in that order.

Q1 = 24

Q3 = 31

These are the left and right edges of the box.

We can cross choice A off the list because the right edge of the box in that diagram is at 29 instead of 31.

The answer is between C and D.

-------------

The last things to consider are the min and max, which are the smallest and largest elements. These are the left and right tips of the whiskers, assuming that we don't have small or large outliers. In this case, we don't have to worry about outliers.

The min and max is 20 and 34 which must mean the answer is choice C

We can rule out choice D because the max shown here is 35.

-------------

In short, the data set has the following five number summary:

min = 20Q1 = 24median = 27Q3 = 31max = 34

all of these five values correspond to a specific visual feature of the boxplot (see diagram below)

Please help, show work! Limits and functions! 85 points!

Answers

Answer:

Ok I might misunderstand this but this is what I got ( in order )

A bakery celebrated its 25th anniversary
last Friday. On that day, every 12th
customer received a free loaf of bread
and every 9th customer received a free
cupcake.
Lauren was the first customer to receive
a free loaf of bread and a free cupcake. What was Lauren's number?

Answers

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Other Questions
HelpFind the volume of this sphere.Use 3 for pi What is the volume of this. Pyramid720 cm21080cm21440 cm22160 cm2 Harding Enterprises has developed a new product called the Gillooly Shillelagh. The market demand for this product is given as follows:Q= 240 - 4Pa. At what price is the price elasticity of demand equal to zero? b. At what price is demand infinitely elastic? c. At what price is the price elasticity of demand equal to one? d. If the shillelagh is priced at $40, what is the point price elasticity of demand? Question 8 of 15What is the value of a yearly compensation package that includes a $42,000salary, the full cost of a $200-per-month health insurance plan, and the fullcost of a $35-per-month life insurance premium?A. $42,620B. $42,235C. $44,435D. $44,820 why human trafficking is considered as a social problem? Pretend you are a member of a caste. Write a letter to a friend telling about your life in that particular caste. Describe your day and your feelings as you are forced to stay within a certain group for all of your interactions. Mention things you might like to do but cant because of your caste. Write about 200 words. please help If m>BFC = 8x+13 and m HELP ;-; Vanillin, C8H8O3, the principal component of vanilla beans, is very similar to glucose, C6H12O6 a type of sugar. Brittany Spears has a life threatening allergy to vanillin. After one of her concerts she was found dead in her dressing room. A glass lined with a white powder was found smashed on the floor next to her. Police think the glass was lined with vanillin suggesting she was murdered. A 2.54 g sample of this powder underwent carbon-hydrogen analysis. Its combustion was found to produce 5.875 g of CO2 (g) and 2.41 g of H2O(g) . Find the empirical formula of this compound and determine if Brittany may have been poisoned?b) Is this evidence enough to conclude for certain that the identity of the powder on the glass is indeed vanillin? Why or why not? Find the radius of the circle. Circumference = 18.84 yd a. 3 yd b. 59.16 yd c. 6 yd d. 118.32 yd what's the answer?? Please someone help me A research team conducted a study showing that approximately 30% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 30 businessmen, all of whom wear ties, what are the following probabilities?a. at least one tie is too tight b. more than two ties are too tight c. no tie is too tight d. at least 18 ties are not too tight three contributing factors that led to the human rights trafficking Which types of scenarios would the NETWORKDAYS function help calculate? Check all that apply. 1. A drama club earned $662.50 from a production where 85 adult tickets were sold and 65student tickets were sold. An adult ticket costs $2.50 more than a student ticket. Whichsystem of equations can be used to find a, the cost of an adult ticket, and s, the cost of astudent ticket? Find the surface area of theprism. . En la facultad de Ingeniera Industrial se realiz una encuesta a 200 personas para saber que lenguaje de programacin preferan para aprender al inicio, se obtuvo: 50 prefieren C, 65 prefieren C#, 77 prefieren Python, 100 prefieren C o C#, 105 prefieren C# o Python, 110 prefieren C o Python, 10 personas prefieren C y Python pero no C#. Distrust between the US and the Soviet UnionWhich of the following statements about the relationship between the United States and the Soviet Unionduring this time is true?The relationship suffered when Stalin refused to assist the Allies in their war against Hitler.The United States was concerned about Stalin's plans for his country in the postwar world.The United States and the Soviet Union respected each other's differences in opinion.DONE We dont dance / arent dancing at school today. Boys dont wear / arent wearing pink T-shirts. Plz, help ASAP!! NO FILES! T _____ espaol.estudiisestudiamosestudiaestudias