make a box-and-whisker plot for the set of data 21,27,27,25,21,13,18,25

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

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

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

[tex]\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}[/tex]

If we multiply both sides of the second equation by -2, we get this updated system

[tex]\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}[/tex]

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

Answer:

Length = 12

Width = 8

Step-by-step explanation:

Area of a Rectangle = l x w

12 x 8 = 96

Answer:

LCD=72, but technically 0 because who said any kids were attending

Step-by-step explanation:

You are finding the Least common denominator I assume,

So, keep multiplying 18 by a number until you can find 8 multipled by a different number that matches the answer

18*4=72

8*9=72, hurray you done did it

The minimum number of children attending the dinner party will be 72.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8, and children are seated at tables of exactly 18.

Let 'x' and 'y' be the number of tables for adults and children. Then we have

8x = 18y

x / y = 18 / 8

x / y = 9 / 4

The minimum number of children attending the dinner party will be given as,

⇒ 4 x 18

⇒ 72

The minimum number of children attending the dinner party will be 72.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Answer:

$76.80

Step-by-step explanation:

120/80 equals how many times the next route is larger than the first one. Which is 1.5 times larger.

Take the first earning of 51.20 and multiply by 1.5 to get 76.80

120/80=1.5

51.20*1.5=76.8

On the next route the truck driver earns $76.80.

Answer:

The truck driver will be making $76.80 on his next route.

Step-by-step explanation:

First, you calculate the amount of money he makes per mile by dividing $51.20 by 80 miles. Then you take that pay rate, and multiply by 120 miles.

Answer:

300

Step-by-step explanation:

The number that is the coefficient in the equation 300x + 45 = 760 is 300

The equation is given as:

300x + 45 = 760

Consider the following expression:

bx + a

b in bx represents the coefficient, x represents the variable, and a represents a term

Using the above as a guide in 300x + 45 = 760;

The coefficient in the equation 300x + 45 = 760 is 300

Read more about coefficient at:

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Answer:

10 percent

Step-by-step explanation:

hello,

from this question, it has been stated that the lucky number is 1

from all of these values below we are to account how many times 1 appeared in these numbers have

89064, 27308, 64568 ,14121, 98226, 65388, 58732, 85801, 69902, 78431, 10380, 42006.

the total number of 1 is 6

= 6 x 1 divided by the number of trials 60

= 6 x 1/60

= 0.1

to get the proportion, we multiply 0.1 by 100

0.1 x 100

= 10%

Answer:

Step-by-step explanation:

Angle ABC is the sum of angles ABD and DBC as per angle addition postulate

As per given we have isosceles triangles ABD and BCD

ADC is straight angle, therefore:

Answer:

12$

Step-by-step explanation: 100/6 then multiply it by .72=12$

Answer

$12

Step-by-step explanation:

theres a picture on how I did it that I linked.

Answer:

1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph

Step-by-step explanation:

Answer:

0.80mph

Step-by-step explanation:

If 1/5 = 1/4, then:

she swims 1/5 miles for every 1/4 (fourth) of an hour

per hour means 1 hour

we must covert 1/4 to 4/4 (one mile)

1/4 × 4/1 = 4/4

if we multiply by 4/1 to get to 4/4, then we must also multiply by 4/1 for 1/5 miles

1/5 × 4/1 = 4/5

Her unit rate in miles per hour is 4/5 per 1 miles, or 0.80mph

*0.80 = 4/5 because 4 × 20 = 80 and 5 × 20 = 100; 80/100 = 0.80*

Answer:

-2x - 10

Step-by-step explanation:

(2x-6) - (4x+4)​    multiply (4x+4)​  by -1   -1(4x + 4) = -4x - 4

2x - 6 - 4x - 4  Re-arrange

2x - 4x - 6 - 4

-2x - 10

15,077,500  

Area= W * H

In this case area would be 1850 * 8150 which equals 15,077,500

9514 1404 393

Answer:

  Positive

Step-by-step explanation:

If thinking in the abstract doesn't work well for you, choose a couple of values that match the description:

  a > 0, choose a = 1

  b < 0, choose b = -1

Now, the product is ...

  -4ab = (-4)(1)(-1) = 4 . . . a positive product

__

The product will be positive when the total number of minus signs of the factors is even. Here, there are 2 minus signs, so the product is positive.

Answer:

33 1/3%

Step-by-step explanation:

please refer to this...............

Answer: The vertex is (-4,1)

Explanation: I used -b/2a to find the x, then plugged in -4 to find the y, which is 1.

Answer:

It's D. NM = 12; mK=70

Step-by-step explanation:

i just did it on edge but this for people who need it now. bc it's been a year 4 u.

Answer:

I hope this help

The answer is 24

Answer:

45.                                    Second part is -36 then -4+28i

41

72

Step-by-step explanation:

Just did on edg 2021

Answer:

245-125=15w

120=15w

120÷15=w

w=8

Answer:

15 + 20

Step-by-step explanation:

Step 1: Write expression

5 × (3 + 4)

Step 2: Distribute 5 to each term

5(3) + 5(4)

Step 3: Simplify

15 + 20

Answer:

4 x 3 = 12 x 6 = 72

2 x 3 = 6 x 12 = 72

x = 12

Step-by-step explanation:

The answer is at the top

The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.

The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:

A = s²

36 sq. units = s²

√(36 sq. units) = √s²

6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)

Therefore, ...

P = 4s

P = 4(6 units)

P = 24 units is the perimeter of a square whose area is 36 square units

Answer:

7.7916

Step-by-step explanation:

Multiply 11 by 17 which equals 187,

do 187 / 24 which equals 7.7916 tiles.

Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

Given the results of #5 are ...

  ∠GEF = 120, 150, 155, 135

  ∠FEM = 60, 30, 25, 45

  ∠MEH = 120, 150, 155, 135

  ∠HEG = 60, 30, 25, 45

__

(a) We can see that vertical angles are congruent.

(b) Each of a pair of vertical angles is supplementary to the same angle.

  ∠GEF and ∠MEH are both supplementary to ∠FEM and to ∠HEG

  ∠FEM and ∠HEG are both supplementary to ∠GEF and to ∠MEH

Answer:

w=25/4=6.50

Step-by-step explanation:

9514 1404 393

Answer:

  21.46 mm^2

Step-by-step explanation:

The area of the square is ...

  A = s^2 = (10 mm)^2 = 100 mm^2

The area of the circle is ...

  A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2

Then the shaded area is ...

  100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area

Answer:

Approximately 27 times bigger

Step-by-step explanation:

8)

Petrol filled on Monday = 40 liters

Petrol filled on next day = 50liters

Total petrol filled = 90liters

Now, Cost of 1 liter petrol = Rs. 44

Cost of 90 liters petrol = 44 x90

= 44 x (100 – 10)

= 44 x 100 – 44 x10

= 4400 – 440

= Rs. 3960

Therefore, he spent Rs. 3960 on petrol.9

9)

Milk supplied in morning =40 liters

Milk supplied in evening =50 liters

Total milk supplied in one day = 90 liters

Cost of 1 litre milk =24 rupees

Cost of 90 liters milk=24 ×90

=2,160 ruees.

HOPE IT WILL HELP YOU.

PLEASE MARK IT AS BRILLIANT ANSWER.

Answer:

13

Step-by-step explanation:

16-3 = 13

Answer:

y = 3x + 2

Step-by-step explanation:

First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2

The equation of the line is given by: [tex]y = 3x + 2[/tex]

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

The equation of a line, in slope-intercept formula, has the following format:

[tex]y = mx + b[/tex]

In which

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

[tex]m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3[/tex]

Then

[tex]y = 3x + b[/tex]

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

Point (-1,-1) means that when [tex]x = -1, y = -1[/tex], and we use this to find b.

[tex]y = 3x + b[/tex]

[tex]-1 = 3(-1) + b[/tex]

[tex]b = -1 + 3 = 2[/tex]

Thus

[tex]y = 3x + 2[/tex]

A similar problem is given at https://brainly.com/question/13251894