Two science classes got to go to an amusement park. Counting the students and the chaperones, there were 54 people that went to the park, for a total cost of $367.50. Adult tickets cost $8.00 and student tickets cost $6.50.

Answers

Answer 1

Answer:

43 students and 11 chaperones

Step-by-step explanation:

Let a = number of chaperones or adults

Let s = number of students

1) We could set up two equations and solve them simultaneously using the substitution or the elimination method.

s + a = 54

8a + 6.50s = 367.50

I choose the substitution method.

2) Solve for s or y. I choose s.

a = 54 - s

8(54 - s) + 6.50s = 367.50

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

432 - 8s + 6.50s = 367.50

432 - 1.50s = 367.50

-1.50s = 367.50 - 432

-1.50s = -64.50

s = [tex]\frac{-64.50}{-1.50}[/tex]

s = 43

3) Substitute the result into one of the two equations above. I choose the first one.

43 + a = 54

a = 54 - 43

a = 11


Related Questions

What are the solutions of this quadratic equation? 9x^2+10=5

Answers

Answer:

No solution

Step-by-step explanation:

9x² + 10 = 5

⇔ 9x² = 5 - 10

⇔ 9x² = -5

This is impossible because 9x² > 0 and -5 < 0

need answer asap thank you

Answers

Answer:

56

Step-by-step explanation:

First of all, if the width of the frame is 2, then add 2 to both sides of 7 to get the frame length7 + 2 + 2 = 11Do the same for 33 + 2 + 2 = 7Area of frame and white rectangle combined = 11 × 7 = 77Area of white rectangle is 7 × 3 = 21Now to get the area of the blue bit, subtract 21 from 77This gives you 56

Write the answer in simplest form

Answers

Answer:

57/40

Step-by-step explanation:

So we need to find the LCD, or the least common denominator.  The LCD is 40.  Now, we do a transition to find the new numerator.

[tex]\frac{4}{5} =\frac{x}{40} \\\\\\frac{5}{8} = \frac{x}{40}[/tex]

The new equation is this:

[tex]\frac{32}{40} +\frac{25}{40}[/tex]

Now we use our common sense.  32+25=57

57/40.

You can't simplify this...

Multiply the following numbers.

(-7)(-5) =

And why???

Answers

Answer: 35

Step-by-step explanation: The reason is that 7 × 5 = 35 and when you multiply two negative numbers they make the answer positive. I hope this helped!

Answer:

35

Step-by-step explanation:

7 times 5 equals 35. Even though the two numbers are positive, the product will be negative, because a negative times a negative equals a positive. A negative times a negative will equal a positive because what was originally negative has been reversed in direction.

So, the answer is 35.

hope this helps!

read below thanks :D

Answers

Answer:

  (d)  112 m²

Step-by-step explanation:

The area of a parallelogram is given by the formla ...

  A = bh . . . . . . where b is the base length and h is the height

__

Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...

  A = (14 m)(8 m) = 112 m²

The area of the parallelogram is 112 square meters.

__

Alternate solution

You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.

  A = 2(1/2bh) +bh

  A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²

The slope is 3 and the line passes through point (5, 17).

Answers

Answer:

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

Step-by-step explanation:

Point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

Given:

slope (m) = 3point (x₁, y₁) = (5, 17)

Substituting given values into the equation to find the equation of the line:

[tex]\implies \sf y-17=3(x-5)[/tex]

[tex]\implies \sf y-17=3x-15[/tex]

[tex]\implies \sf y=3x+2[/tex]

The radius of a circle is 11 yards. What is the circle's area?
Use 3.14 for ​.

Answers

Answer:

[tex]\displaystyle 380,13271108...\:yd.^2[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}[/tex]

If you want to follow what the exercise wants, then multiplying [tex]\displaystyle 3,14[/tex]by the square of the radius will give you [tex]\displaystyle 379,94\:yd.^2.[/tex]

I am joyous to assist you at any time.

if you were to flip the coin 15, how many times will the coin land on tails based on experimental probability? jordan flipped a count of 45 times.His result are below: heads: 24 tails: 21

Answers

Answer:

It will land 7.5 times on tails, which is rounded up to 8 times

Step-by-step explanation:

there are 2 possibilities, heads or tails

so you divide 15 in 2 and get 7.5

The coin will land 7 times tail based on the experimental probability.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

Learn more about Probability here:

brainly.com/question/11234923

#SPJ2

what is the sum of 9+10?

Answers

Answer:

19.

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = 108 , y = 72

Step-by-step explanation:

x and 108 are alternate exterior angles and are congruent , then

x = 108

x and y are same- side exterior angles and sum to 180° , that is

x + y = 180

108 + y = 180 ( subtract 108 from both sides )

y = 72

PLEASE HELP PLEASE PLEASE

Answers

Answer:

Sublimation - is the transformation from a solid to gas.

Hope this helps!


8. When solving the equation (2 - x)(x + 1) = 11, Priya graphs y=(2 - x)(x + 1) - 11 and then looks to find where the graph crosses the x-axis.
Tyler looks at her work and says that graphing is unnecessary and Priya can set up the equations 2 - x = 11 and x + 1 = 11, the solutions
are x = -9 or x = 10.
A) Do you agree with Tyler?

yes
no

Answers

Answer:

No

Step-by-step explanation:

Tyler is incorrect. The only way you can set individual terms equal to the result is when the result is zero. This is due to zero times anything equalling zero. If one of the terms equals zero, then the other term does not matter because the whole thing will be zero. Let's say:

[tex](2 - x)(x + 1) = 0[/tex]

If the first term equals zero, the entire left side is zero. For Priya's case, the right side is not zero, it is 11. If one term is 11, the other term will contribute. You can check this by plugging in Tyler's solutions. The correct way to solve this equation is to use FOIL on the two terms, then subtract 11 on both sides to get zero. Then use the quadratic formula.

Circle the exponent

Answers

I’m pretty sure the exponent is Y! Please give me Brainly if I’m right

Which of the following is an arithmetic sequence?
O A. -2,3, 8, 13, 18,...
O B. 1,1, 2, 3, 5, 8, ...
O C. 4,-4, 4, -4, 4, ...
O D. 1, 1/2,1/4,1/16

Answers

I think c for this question

33
The base of a right rectangular prism has
an area of 172.5 square centimeters and
a height of 8 centimeters. What is the
volume, in cubic centimeters, of the
right rectangular prism?
A 180
B 280
C 1,280
D 1,380
3

Answers

Answer:

D 1,380

Step-by-step explanation:

V = area of base × height

V = 172.5 cm² × 8 cm

V = 1380 cm³

ANSWERS THESEEESS!!!!

Answers

Número 13 es A
Número 14 es B

Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, rounded to the nearest tenth.

Answers

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

What is the Lateral Surface Area and Surface Area of a Square Pyramid?

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area =  2al.

Given the following:

a = 11 cml = 15 cm

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

Lateral Surface Area =  2al = 2(11)(15)

Lateral Surface Area = 330 cm²

Learn more about square pyramid on:

https://brainly.com/question/3688277

The lateral and surface area of a square base pyramid with side length of 11 cm and slant height of 15 cm are 330 cm² and 451 cm².

Surface area of a pyramid

surface area = A + 1 / 2 ps

where

A = area of the basep = perimeter of the base s = slant height

Therefore,

surface area = 11² + 1 / 2 × (11 × 4) × 15

surface area = 121 + 1 / 2 × 44 × 15

surface area = 121 + 330

surface area = 451 cm²

Lateral area of a square pyramid

lateral area = 1 / 2 ps

lateral area = 1 / 2 × 44 × 15

lateral area = 330 cm²

learn more on lateral and surface area here; https://brainly.com/question/23857644

Mary swam 3/4 mile each day for 8 days

Answers

Step-by-step explanation:

I'm assuming the question is how many miles in total did mary swim.

if this is the case then we just multiply the number of days by the number of miles per day.

Hence,

3/4 × 8 = 6

so 6 miles in total.

make sure to ask if you need any further help

i need help on this 6th grade math question:
its for 20 points

Answers

Answer:

Quadrant I.

Step-by-step explanation:

Quadrant I examples:

(2, 5)(3, 4)(7, 1)

Quadrant II examples:

(-1, 5)(-6, 2)(-4, 7)

Quadrant III examples:

(-3, -4)(-7, -1)(-8, -5)

Quadrant IV examples:

(5, -6)(1, -4)(8, -2)
Quadrant I i got it correct

Identify the terms and like terms in the question 3n+7-n-3

Answers

Answer:

like terms: (3n,-n),(7,-3)

Step-by-step explanation:

Answer:=2n+2

Step-by-step explanation:

3n+7-n-3=2n+2

a chair costs rupees 250 and a table costs rupees 400 . If housewife purchased a certain number of chair and two tables fo rupees 2800,find the number of chairs she purchased​

Answers

Answer:

The housewife purchased 8 chairs

Set x be the number of chairs she purchased

could someone help me really quickly :(((((

Answers

#1

k=3

Lets verify

kx²+5x+23x²+5x+23x²+3x+2x+23x(x+1)+2(x+1)(3x+2)(x+1)

Yes verified

#2

k=4

Lets verify

9x²+kx-59x²+4x-59x²+9x-5x-59x(x+1)-5(x+1)(9x-5)(x+1)

Yes verified

Rule to be noted:-

If ax²+bx+c be a function

Then

b=a+c

A rectangle has sides that are 7 and 2/5 inches wide and 11 and 2/3 inches long. What is the perimeter of the rectangle?

Answers

Answer:

38.1333333334

Step-by-step explanation:

Perimeter of rectangle:

2 × (length + width) inches

2 × (7 2/5 + 11 2/3) inches

2 × 19.0666666667 inches

38.1333333334

A dog drinks 3.5 bowls of water each day. Each bowl has 2.7 liters of water. How many liters of water does the dog drink throughout the day

Answers

Answer:

9.45 liters

Step-by-step explanation:

3.5 bowls x 2.7 liters= 9.45 total liters

Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $76
Selling price: $89.83

Answers

since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.

if we take 76 to be the 100%, what is 13.83 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20[/tex]

Which polygon has two sets of parallel sides?

Answers

Answer:

C

Step-by-step explanation:

C is rectangle

Rectangles have 2 sets of parallel lines

C
explanation: i just know things

I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

The measure of angle one is36 degrees

You ask four people to the prom. If X is the number of "yes" responses, what is E(X)? Assume equal probability for
"yes" and "no" response.

Answers

Answer:

e is the amount of people

Step-by-step explanation:

4 x so let’s say you have two x you have 50% of the people that said yes.

9+ – 12(34) + 27 = 0, A= 3*
Use substitution

Answers

Answer:

9+ – 12(34) + 27 = 0, A= 3*

Use substitutionStep-by-step explanation:

1. a movie Theater sold 74 tickets of these tickets. 32 Where tickets for children, and the rest where tickets for adults.
which equation should be used to determine the number of tickets that were for adults.

A. 32+a=14
B. 32a=74
C. 74a=32
D. 32-a=74

Answers

Answer:

Its d

Step-by-step explanation:

why did you delete my answer??

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