Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25 students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below

Answers

Answer 1

Answer:

$20

Step-by-step explanation:

Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.

30s+4a=720

25s+4a=620

What is the cost for each student ticket?

Solution:

30s+4a=720

(1)

25s+4a=620 (2)

Subtract (2) from (1)

30s - 25s = 720 - 620

5s = 100

Divide both sides by 5

s = 100/5

= 20

s = $20

Substitute the value of s into (1)

30s + 4a = 720

30(20) + 4a = 720

600 + 4a = 720

4a = 720 - 600

4a = 120

a = 120 / 4

= 30

a = $30

Each student tickets cost $20


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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The slopes are the same except one is negative therefore they are perpendicular

A box has 39kg mass? the surfcae are of the box
has 150m. calculate the pressure exterted by the box on the floor

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Answer:

2.548 pascal

Step-by-step explanation:

force=mass×acceleration due to gravity

force=39×9.8

pressure(p)=force/area

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p=2.548 pa

From a room temperature of 42 degrees, the temperature dropped by 20 degrees, then rose by 75 degrees and finally dropped by 1 degree. What is the temperature after the given changes?

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Im pretty sure it is 95:)

given 2x +8y=16, find the x- and y- intercepts

Answers

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y-intercept: 2

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Step-by-step explanation:

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Step-by-step explanation:

Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent

Answers

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

The original price of the tire that Gary would have paid had it not been for the discount is $160.42

Gary spent $96.25 on a new tire but this tire had been discounted by 40%.

This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:

x - (x × 40%) = 96.25

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x = 96.25 / 0.6

x = $160.42

In conclusion, the original price was $160.42.

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Answers

Answer:

     -4 / 3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -0)/( -2 - -5)

     ( -4 -0)/( -2 +5)

     -4 / 3

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Y (-5, 0)

Z (-2, -4)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-4-0}{-2+5}[/tex]Subtract/Add:               [tex]m=\frac{-4}{3}[/tex]

Determine weather the triangles a are similar

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?

Answers

The constant of proportionality is 5.5

Step-by-step explanation:

y = kx

k = constant of proportionality

y = 5.5x

Answer:

d

Step-by-step explanation:

Witch fraction is not in simplest form 5/15 or 5/12

Answers

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Answers

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When Charlotte left her house this morning, her cell phone was 30% charged and it

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terms of t, representing the charge remaining in Charlotte's battery, as a percentage,

t hours after Charlotte left her house.

Answers

Answer:

B = 32.5 - 2.5t

Step-by-step explanation:

Let the initial percentage to be 30%

If it started to loose 2.5% every hour where;

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The amount of percent remaining every hour will form an arithmetic sequence as shown;

30, (30-2.5), (30-5.0),...

30, 27.5, 25.0...

Using the nth term for calculating an arithmetic sequence

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B = 30 + (t-1)(-2.5)

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B = 32.5 - 2.5t

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Question, write an expression representing the supplies needed. 1. She needs one mouse for each snake, plus two extra mice. How many mice are needed if the number of the snakesas: a. 10 b. 6 C. X

Answers

Answer:

a. 12 mice

b. 8 mice

c. (X + 2) mice

Step-by-step explanation:

Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.

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b. When the number of snake is 6, the number of mice needed would be:

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Answers

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Step-by-step explanation:

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Answers

Answer:

x = 4

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Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

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Step-by-step explanation:

Suppose you deposited $400 in a savings account 3 years ago. The simple interest rate is 3.3%. The
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1 = 3
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p = 400
t = 39.60





Help me please

Answers

Answer:

Step-by-step explanation:

Given parameters:

 Principal  = $400

 Time  = 3years

 Interest rate  = 3.3%

  Interest  = $39.60

Now let us verify;

I = interest

r = rate

p  = principal

t  = time

 

i = 3             incorrect, interest is $39.60

r=3.3%          Correct, rate is 3.3%

p = 400         Correct, principal is 400

t = 39.60     Incorrect, time is 3years

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Answers

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Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

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Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

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x coordinates:  0 - 7 = -7

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Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

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Answers

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Step-by-step explanation:

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Answers

Answer:

142

Step-by-step explanation:

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Answers

Answer:

1. A = 120

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Step-by-step explanation:

Answer:

1) 120° 2) 98° 3) 104° 4) 140°

Step-by-step explanation:

1) add the two angles together then set them equal to 180 then solve for x. Once x is found plug it in for ∠A

2) set the two angles equal to each other then solve for x. once x is found plug it in for ∠B

3) set the two angles equal to each other to find x. once x is found plug it in for ∠C

4) add the two angles together then set it equal to 180. solve for x. once x is fould plug it in for ∠D

If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)

Answers

Answer:

m∠BEF = 65.3°

Step-by-step explanation:

Given:

m∠DEB = 27.2,

m∠DEF = 92.5

Required:

m∠BEF

SOLUTION:

Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.

Therefore:

m∠BEF + m∠DEB = m∠DEF (angle addition postulate)

m∠BEF + 27.2 = 92.5

Subtract 27.2 from each side

m∠BEF + 27.2 - 27.2 = 92.5 - 27.2

m∠BEF = 92.5 - 27.2

m∠BEF = 65.3°

Answer:

92.5 and 27.2 and 65.3 will be the answer.

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the

Answers

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

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So, for P number of pepperoni pizzas, the cost is $12P

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t = 8c + 12P

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Step-by-step explanation:

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Answers

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Answer

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Answers

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