The taco truck sells tacos for $3 and burritos for $4 . The number of items sold on a Tuesday is 125 with a total income of $425. How many tacos were sold?

Answers

Answer 1

Answer: 75 tacos

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

___________

B =50

Replacing B in any equation:

T + B = 125

T +50 =125

T =125-50

T = 75

Feel free to ask for more if needed or if you did not understand something.


Related Questions

1) Is this figure a polygon? Yes or no.

1) Is this figure a polygon? Yes or no.

Answers

Answer:no

Step-by-step explanation:

it does not have 4 sides.

no it is not a polygon

please help me please asap

please help me please asap

Answers

Answer: The answers are n+8=15, 15-8=n,and 15-n=8

Step-by-step explanation:

The reason why its those three is because if you solve them they equal 7 as the missing number but if you try 15+n=8 it doesnt make any sense.

It is all of them because x is 34

isaias vegetable garden is 15 feet long by 5 feet wide he plans to increase the width and length of his garden and put a fence around it he writes this expression for the total ammount of fencing (x+15)+(x+5)+(x+15)+(x+5) write an equivalent expression that uses fewer terms

Answers

x here is the added value in the width and length of his garden to increase the fencing.

What is perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

✅tryingtogetverified✅

Brainly Community Contributor

Answer:

x here is the added value in the width and length of his garden to increase the fencing.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

Ace bought 6 coke zeros for $7.50 out of the coke machines. Which equation represents this situation and how much did he pay for each coke?

Answers

Answer:

7.50/6 = 1.25

Step-by-step explanation:

6x = $7.50, 6($1.25) = $7.50
(x is the price of the coke zeros)

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

#SPJ1

The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Maggie reads 1/3 of a book every 3/4 of a week.
How many books does Maggie read per week?
____
(A) 4/9 of a book
(B) 4 books
(C) 2 1/4 books
(D) 1/4 of a book

Answers

Answer:

i think it may be B

Step-by-step explanation:

K12 sorry if its wrong

Answer:

О  (A)  4/9 of a book.                                

Step-by-step explanation:

(1/3) / (3/4) = (1*4) / (3*3)

= 4/9

...

These 2 questions are worth 35 points for the brainliest user. If you answer these two questions, I will answer any of yours for a brainliest on the ones that I answer right. Whoever answers these 2 questions first gets a brainliest.

1.) Which of the following list of side lengths could form a triangle?

10, 12, and 25
5, 6, and 12
2, 2, and 4
4, 5, and 6

2.) Which of the following sets of measures for sides doesn't form a triangle?

7, 9, 17
14, 18, 18
8, 8, 8
3, 3, 5

Answers

Answer:

4,5,6

7,9,17

Step-by-step explanation:

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

I need help with this last one

I need help with this last one

Answers

Answer:

x = 7.5, y = 8.5

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

The two angles with the variable x form a linear pair and therefore:

16x - 18 + 10x + 3 = 18026x - 15 = 18026x = 195x = 195/26x = 7.5

Angles 16x - 18 and 12y are congruent as vertical angles:

16*7.5 - 18 = 12y102 = 12yy = 102/12y = 8.5

Answer:

x = 7.5

y = 8.5

Step-by-step explanation:

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

To find x, equate the sum of the two angles with the variable x to 180° and solve:

⇒ (16x - 18)° + (10x + 3)° = 180°

⇒ 16x - 18 + 10x + 3 = 180

⇒ 26x - 15 = 180

⇒ 26x = 195

⇒ x = 7.5

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore:

⇒ (16x - 18)° = 12y°

Substitute the found value of x into the equation and solve for y:

⇒ 16x - 18 = 12y

⇒ 16(7.5) - 18 = 12y

⇒ 120 - 18 = 12y

⇒ 102 = 12y

⇒ y = 8.5

42pts hulppppppppppppppppppp

42pts hulppppppppppppppppppp

Answers

Answer:

2 7/10-1 3/5=1 1/10

1/4+ 1 2/3=1 11/12

3/8 + 2/5 =31/40

4/5- 1/8= 27/40

Step-by-step explanation:

Answer:

1 + 1/10

1 + 13/20

9/24 + 16/24

24/30 - 5/30

Step-by-step explanation:

For part 1:

2+7/10 - 1+6/10: 2-1 = 1, and 7/10 - 6/10 = 1/10, so the answer is 1+1/10

For the rest, change the fractions so that they have the same number on the bottom (equivalent denominators).  

Here's an example:

If you were asked to solve: 1/3 + 2/4, you would multiple the top and bottom of the first fraction by 4 and multiply the top and bottom of the second fraction by 3.  This would leave you with equal denominators in both fractions.

(1*4)/(3*4) + (2*3)/(4*3) = 4/12 + 6/12 = 10/12 which can be simplified to 5/6.  Simplifying fractions can be done by diving both the top and bottom by the same number (in this case it was 2).

I'm going to ask this question again because no one really explained it to me 'clearly.' So if you could do that it would be much appreciated! I'll also give u a brainly <3
Question: What is the value of r.

I'm going to ask this question again because no one really explained it to me 'clearly.' So if you could

Answers

R=8.3144598(48)j•mol^-1•k^-1.
r+ √2r +2 √2=(2+2)√2

r=1.17

What is the answer to 2 subtract 2?

Answers

Answer:

0

Step-by-step explanation:

the answer to 2 subtract 2 is 0

The total cost of an item, the price plus tax, can be calculated using the expression shown in the box, where p is the price of the item.

1.0725p

What is the tax rate as a percentage?


0.0725%0 point 0 7 2 5 percent

0.725%0 point 7 2 5 percent

7.25%7 point 2 5 percent

72.5%

Answers

Answer:

the ans

Step-by-step explanation:

72.5%

-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)

Answers

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

becoz it is a multiple choice, we can go by elimination, hence when we expand #4, we will get -3+6x

d(x) = -5x + 6
Find d(-4)

Answers

Step-by-step explanation:

When x = -4 ;

\( \sf{d( - 4) = - 5 \times ( - 4) + 6}\)

⇢ \( \sf{ 20 + 6}\)

⇢ \( \boxed{ \underline{\tt{26}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

hi! the answer you’d be looking for is 26 :)
d(x) = -5x + 6Find d(-4)

Which of the following is the equation of the line of best fit?

Which of the following is the equation of the line of best fit?

Answers

I’m pretty sure it’s 50/3

Answer: y=50/3x

Step-by-step explanation: 100-50/6-3= 50/3.

Find 2 points on the line and do the formula y1-y2/x1-x2

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?

Answers

To determine whether Keira's statement is correct, we need to analyze the information provided.

According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.

If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.

However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.

Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
in order to know if Keira has two tickets left, we need to know the first number of tickets without that number there is no way to find the remainder

NEED HELP ASAP WILL GIVE HIGH REWARD

NEED HELP ASAP WILL GIVE HIGH REWARD

Answers

the answer for this is is 35 370 93 and i got that now by using guzmos

Answer:

Step-by-step explanation:

a.11/4*3/7=33/28

=1 whole number 5/28

b. 14.16 (0.2)

     =0.832

c.5/12 *2

     =5/6

Note the dot can be represented as multiplication sign when in the middle.

d. 4 whole number2/5*1 whole number1/3

      =22/5*4/5=88/15

      =5 whole number 13/15

2a. 3/7 divided by2/3

      =3/7*3/2

      =6/14

      =3/7

b.8  whole number2/3divided by 4 whole number 1/2

       =26/3divided by9/2

     = 26/3*2/9=52/27

    = 1 whole number 25/27

c. 1.2*0.04=0.048

d. 5.4/1*5/3

    =27.0 divided by 3

    =27/3

    =9

50 POINTS SHOW YOUR WORK OR I WILL DELETE! !BRAINLIEST!
There are 18 pieces of chalk. The ratio of chalk that is yellow to chalk that is not yellow is 1 : 2. How many pieces of chalk are yellow? Show or explain how you got your answer.

Answers

Answer:

9

Step-by-step explanation:

1:2 is the same as 1/2

if 1/2 of the chalk is yellow, then divide 18/2

18/2 = 9

Answer:

6

Step-by-step explanation:

so do a tape diagram with  1 box and underneath 2 boxes you then divide 3 boxes by 18 giving you 18.

………….Please help………………………

.Please help

Answers

Answer:

28

Step-by-step explanation:

Using P()E^M*D/A+S-

3x^2 - 5x + 6

First E for exponents: x^2(-2 * -2)

3(4) - 5x + 6

M for multiplication: 3(4) & -5(-2)

12 + 10 + 6

and lastly addition

12 + 10

22 + 6

28

3(-4)-5(-2)+6
-12-10+6
-22+6
-16 i think, i’m not 100% sure

hi, please help if you can! :)

hi, please help if you can! :)

Answers

Answer:

hello. a= +2 and -2

Step-by-step explanation:

because it sais this two are similar so when x become 12 times so y should be the same so 3a2 equals with 12 so...

\(3 {a}^{2} = 12 \\ {a}^{2} = 4 \\ |a| = 2 \\ a = + - 2\)

A=+2 and -2 that is the answer

How did you decide where to place your line of best fit? Describe your reasoning.

Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.

Trolls will be reported

How did you decide where to place your line of best fit? Describe your reasoning.Based on your data,

Answers

Answer:So I don’t know the other 5 points because you didn’t give the data about the age and number of US states named in 60 seconds, but using the 5coordinate points you gave, I was able to make this line of best fit.

So basically the units are counting up by 5.

The x axis is age in years and y axis is the number of US states named in 60 seconds.

Since you didn’t give me the data to make the other 5 points, I can’t really answer the last question, but from the graph that I did make, there are no points that would be considered outliers, and there are no clusters in sight.

(BTW THIS IS IMPORTANT!! - when you use the data to add the other 5 points, there might be an outlier or more then one outlier. And there might be a cluster. Just look at it after you graph the last 5 and change the answer I gave you if there is an outlier or cluster)

Step-by-step explanation:

hich equation corresponds to the sentence, "Five times a minus two is equal to t"?
A. 2a + 5 = t
B. 5(2) + a = t
C. 5a – 2 = t
D. 2 x 5(a) = t

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

5a = Five times a

- 2 = minus two

= t = is equal to t

The equation and its parts correspond with the sentence.

Answer:

b on edge 20211

Step-by-step explanation:

NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!!!

1 question is first image


2 question is second image


3 question is third image

NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!!!1
NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!!!1
NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!!!1

Answers

Question 1: 4 1/3

Question 2: -0.5

Question 3: 0.83

Did not specify how these should be done so First is Slope form, the rest are decimal.

Answer:

1)13/3

2)-1/2

3)5/6

Step-by-step explanation:

1) the negatives cancel

2)(3/4)/(9/16) --> (3/4)*(16/9) --> 4/3

3) (4/3) + (9/3) = 13/3

1)-6+4 = -2

2)-1+5 = 4

3)-2/4 --> -1/2

1)8-(5+(3(-4))) = 15

2)4^2 +2 = 18

3)15/18 --> 5/6

Help me please il give 20 points!

Help me please il give 20 points!
Help me please il give 20 points!
Help me please il give 20 points!

Answers

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

please help !!!!!!!!!!!!!!!!!!!!!!!

please help !!!!!!!!!!!!!!!!!!!!!!!

Answers

it’s the blue one. you add like terms such as 5a^2 and 3a^2 and you get 8a^2 and then you keep 6a and the same because it is not a value that is going to the second power

Answer: its the first answer// the blue one

8a² + 6a

Step-by-step explanation:

I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.

Answers

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...

young leonardo for sure

HELPP. I really need help on this!?

HELPP. I really need help on this!?

Answers

Answer:

0.15=15%

0.12=12%

0.08%=8%

Step-by-step explanation:

0.15 x 100 = 15%
0.12 x 100 = 12%
0.08 x 100 = 8%

Find the solution set of the inequality.
10c + 5 ≤ 45

Answers

The answer is C < 4
-
C < 4 creo no estoy seguro
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the word suffrage refers to the right to do what to an amendment Angel buys a two-pint bottle of juice for $3.84. What is the unit rate of the cost of the juice per fluid ounce?How many fluid ounces of juice did Angel buy? Reuploaded for about the eighth time, these are the last points I have, please help, I am giving up 100 points. Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region. Question 2: Explain the given VB code using your own words Explain the following line of code using your own words: txtName.Height = picBook.Width____ "Shh..." Dale whispered to his friend Jim. Jim stopped talking mid-sentence and looked at Dale. Dalewas dressed in a fluorescent orange sweater with the hood up and a camouflage vest over the sweater.He saw Dale point his rifle at the horizon and squint, and then Jim looked where the barrel was aimed. Alarge 10-point buck trotted about thirty meters from the bushes behind which Jim and Dale werepositioned.6. What are Jim and Dale doing in the bushes? What is a karyotype?35 POINTSS!! Adaptive Supply Chain ManagementComparision among different Queuing Systems1.) BBA Bank (a fictitious one) has a drive-through teller window and observed that 15 customers arrive for service per hour, on an average, and the average service time per customer is 3 minutes. Assume inter-arrival time and service time follow a negative Exponential distribution. The bank hires you as a consultant. You guess that this is an M|M|1 system and you are required to determine the following:a. Probability (teller is busy)b. Probability (teller is idle)c. Probability of 3 customers in the system.d. Average number of customers waiting for service, that is, number of autos in the line excluding the one at the teller window.e. Average number of customers in the system, that is, number of autos in the line including the one at the teller window.f. Average time a customer spends in the system, that is, waiting time plus service time.g. Average time a customer spends in the waiting line before reaching the teller window. _____ items are especially good for assessing students' understanding of material, high-level thinking skills, ability to organize information and writing skills.a. essayb. short-answerc. true/falsed. multiple-choice If more than one type of construction exists within a single building,each type of construction must be separated from the other by which ofthe following?A.Parapet wall or party wallB.Party wall or occupant separation wallC.Fire wall or party wall D.Occupancy separation wall or fire wall Choose the expression that represents the fraction one-sixteenth.A. 1 6B. 1 16C. 16 1D. 6 1 3. A simple pendulum of length L 0.800 m has a mass M-0.250 kg. What is the tension in the stringS when it is at an angle = 12.57 Show your work. 9-9.8 4. In Question 3, what is the component of the weight of M that is directed along the arc of the motion of M? Show your work. Angles G and F form a right angle together. Angle G is 15 degrees greater than Angle F. What are themeasurements of Angle G and F. Write an equation to help you solve. Antonio Carlos Gomes was an opera composer born in:a. Brazilb. Chilec. Mexicod. Italy why is tan(theta) equal to tan(theta + 2pi) "Determine the swap rate of a 3-year interest rate swap withannual interest payments, indexed at the Euribor. The 1-year,2-year, and 3-year zero Euribor rates are equal to 1.2%, 1.8%, and3%, respectively. Use discrete compounding. A vase in the shape of a cylinder has a base with a radius of 3.2 cm.Estimate (round all measures, including the value of it, to the nearest whole cm before using thevolume formula) how many milliliters of water it holds when filled to a height of 8.5 cm?(1 cm holds 1 ml)a) 243 millimeters b) 216 millimeters c) 432 millimeters d) 144 millimeters What date and time is it 2011 minutes after the beginning of January 1 2020 The Mandarin language is written using more than 5,000 of these. A. characters B. speakers C. tonesplz help me... FOR 20 POINTS!!!!! Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product? Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples. No LINKS!!!!!Nathan is shooting a house along the countryside. He is taking a photograph of the house from a distance and wants to direct the viewers line of sight toward the house. Which elements can Nathan use to achieve this?Nathan can use the _____ and the _____ to direct the line of sight to the house.