Dan’s school is planning a field trip to an art museum. Bus company A charges a $60 rental fee plus $4 per student Bus company B charges $150 plus $2 per student. How many students would have to go for the cost to be the same?

Answers

Answer 1

Answer: 45 students

Step-by-step explanation:

Company A’s charge can be represented by: 4s+60

Company B’s charge can be represented by: 2s+150

s is the charge per student

To find the cost at which they are the same, I will set both equations equal to each other.

4s+60=2s+150

-2s -2s

2s+60=150

-60 -60

2s=90 Divide both sides by 2

s=45

So when 45 students are going, the cost for both companies are the same.


Related Questions

please help me with this.

Answers

Answer:

i think it is 130DE because you will use a protractor

1
What is the length of a
segment when the
coordinates of its endpoints
are (-4, 5) and (-6, 9)?
a) 5V2 units
b) 2V5 units
c) V2 units
d) 5
e) 10 units
V5 units

Answers

The answer would be. B) 2V5 units
The correct answer is B

Which equation justifies why 9 1/3 = 3 square root of 9?

Answers

Answer: answer is A

Step-by-step explanation:

What evidence is there that a chemical reaction is taking place in the cold pack?
A)
change in odor
B)
change in color
0)
formation of gas
D)
temperature change

Answers

The correct answer would be D
D.) temperature change

what does “ z “ equal in this equation z + 18 = 26

Answers

Answer:8

Step-by-step explanation:

Answer:

z = 8

Step-by-step explanation:

you have to work it backwards. 26-18=8

what expression is equivalent
6(3+6x)

Answers

Answer:

i think maybe    6*9x

Step-by-step explanation:

Step-by-step explanation:

So this is how it works

The bracket represents times. So, you have to times 6 to 3 and also 6x

Next, write down the values after times it. You will get 18+36x

NOTE: This is for expansion only

For factorisation

Bring the x to your right and bring the numbers to your left. Then calculate the value and that's your answer

Hope this is correct and helpful

HAVE A GOOD DAY!

Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Answers

Answer:

Option 1 (The last one, bottom right)

Step-by-step explanation:

If you start at the origin and go 2 to the left and 4 down, you will reach a point. We can test the slope by using rise over run from one point to another. It goes up 1 and three across which is true in this case.

What is the missing statement for step 5?
m2 SQV = m_SQT
Om SQV + m2VQT = 180°
Om SQV + m2SQT = m_VQT
m

Answers

Answer:

m∠SQV + m∠VQT = 180°

Step-by-step explanation:

right on test.

i need help on this q ^^^

Answers

I think your answer would be 64, if im wrong, im sorry! Hope this helps! :D

i need help with this geometry

Answers

Answer:

c

Step-by-step explanation:

use point slope form y-y1 = m(x-x1)

m = -1/2 because that would be perpendicular

then you plug in the numbers y-6= -1/2(x-4)

then solve for y so i will be in y=mx+b

Find the simple interest earned. $5,000 invested at 4% for 3 years. pls

Answers

Answer:

I don't get what your asking us to do

Step-by-step explanation:

Complete the sentence.
A regular pentagon and a regular hexagon can intersect in
a line
a ray
a line segment
a rectangle
Submit

Answers

Answer:

A line segment

Step-by-step explanation:

A bag of snack mix weighs 12 ounces. A serving size is 3/4
ounce. Each serving has 120 calories.

Answers

Answer:

16 servings and 1920 calories in  1 snack bag

Step-by-step explanation:

12 ounces divided by 3/4 = 16 servings

120 calories/servings x 16 servings = 1920 calories in 1 snack bag

Rembrandt framed his masterpiece. The painting by itself is a rectangle with length 20 \text{ cm}20 cm 20, start text, space, c, m, end text and width 16 \text{ cm}16 cm 16, start text, space, c, m, end text. The painting and frame together form a larger rectangle with length 25 \text{ cm}25 cm 25, start text, space, c, m, end text and width 20 \text{ cm}20 cm 20, start text, space, c, m, end text. Find the area of the frame.

Answers

Answer:

180cm²

Step-by-step explanation:

Area of the frame = area of the frame+ painting - area of painting.

Area of a rectangle = Length × Width

Area of the painting = 20cm×16cm

Area of the painting = 320cm²

Area of the paint+ frame = 25cm×20cm

Area of the paint+ frame = 500cm²

Area of the frame = 500cm²-320cm²

Area of the frame = 180cm²

Hence the area of the frame is 180cm²

Given that ∠A≅∠B, Gavin conjectured that ∠A and ∠B are complementary angles.

Which statement is a counterexample to Gavin 's conjecture?


m∠A=10° and m∠B=15°

m∠A=45° and m∠B=45°

m∠A=30° and m∠B=60°

m∠A=25° and m∠B=25°

Answers

45 and 45 because they are equal and add up to 90 degrees

Convert 10 quarts (qt) to cubic feet (ft^3)

Answers

Answer:

10 US liquid quarts is 0.334201 cubic feet.          

help please with this question

Answers

Answer:

b. x - 2y = 4

Step-by-step explanation:

The two points on the graph are (0, -2) and (4, 0).

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

  = (0 - (-2)) / (4 - 0)

  = 2 / 4

  = 1 / 2

Find y intercept using anyone of the points above:

y = mx + b

-2 = 1/2(0) + b

b = -2

Use m and b to make equation of line:

y = mx + b

y = 1/2x - 2

Possible answers:

a. 4x - 2y = 4

         -2y = -4x + 4

             y = 2x - 2

b. x - 2y = 4

       -2y = -x + 4

           y = 1/2x - 2

c. -2x + 4y = -4

            4y = + 2x - 4

              y = 1/2x - 1

Only choice b equals the equation of line above.

Which of the following is a rational number?

Answers

Answer:

A, B, D are the answers

Step-by-step explanation:

DUDE IM GETTING MAD BECAUSE I KEEP FORGETTING THE IMAGE AND OMG PLEASE ANSWER IM BEGGING PLS

Answers

Let

x = number of tickets

y = cost

For each row, divide the cost over the number of tickets

Row one:  y/x = 3/2 = 1.5

Row two: y/x = 6/4 = 1.5

Row three: y/x = 9/6 = 1.5

Row four: y/x = 12/8 = 1.5

Row five: y/x = 15/10 = 1.5

The constant of proportionality is 1.5

This means each ticket costs $1.50

Brody invested $220 in an account paying an interest rate of 3.6% compounded
annually. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 17 years?

Answers

Answer:

400

Step-by-step explanation:

Delta

The amount after 17 years is $400

How to determine the amount after 17 years?

The given parameters are:

Principal, P = $220Rate, r = 3.6%Time, t = 17 years

The interest rate is compounded annually;

So, the amount after t years is:

A = P *(1 + r)^t

This gives

A = 220 * (1 + 3.6%)^17

Evaluate

A = 401.36

To the nearest ten dollars, we have:

A = 400

Hence, the amount after 17 years is $400

Read more about compound interest at:

https://brainly.com/question/24924853

A popular board game manufacturer was interested in the relationship between the amount of time it takes to play a game and how well that game is rated among board game players. Information was collected on several board games, and was used to obtain the regression equation y = 27.273x + 18.182, where x represents time it takes to play (in hours) and y is the predicted rating of that game (in points). What is the predicted rating of a game that takes 90 minutes to play?

18.182 points
59.0915 points
90 points
2,472.752 points

Answers

Answer:

B- 59.015

Step-by-step explanation:

Answer:

The answer is B. I don't know why everyone downvoted the first answer. So here's some fancy work so you know its right.

90 minutes/1 hour = 1.5 hours [one hour = 60 minutes]

(you can only put hours in for x)

27.273(1.5) + 18.182 = 59.0915 (B)

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

if you're looking for the question "What is the predicted rating of a game that takes 1 hour to play?" the answer is (C), 45.455 points".

[this is a separate question that is similar]

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

ED2021

Please answer 10 point + brainlyest = 1 big thank u

Answers

Step-by-step explanation:

FIRST, we want to understand every property:

Associative Property: The associative property states that you can add or multiply regardless of how the numbers are grouped so (5 + 4) + 3 = 5 + (4 + 3)

Commutative Property: Commutative is the one that refers to moving stuff around so 3 + 2 = 2 + 3

Additive Inverse Property: This is the number that when added to the original number, equals 0 or it's the opposite of the number so 5 <- is the original number and -5 <- is the additive inverse.

Simplify: Is just to add like terms, and make the equation the simplest.

1. ORIGINAL EXPRESSION

2. Additive Inverse Property

3. Commutative property

4. Associative Property

5. Simplify

6. Simplify

(√5+√17i)(√5-√17i)=? (give answer in standard a+bi form)

Answers

Answer:

22

Step-by-step explanation:

Given

([tex]\sqrt{5}[/tex] + [tex]\sqrt{17}[/tex] i )([tex]\sqrt{5}[/tex] - [tex]\sqrt{17}[/tex] i ) ← expand factors using FOIL

= ([tex]\sqrt{5}[/tex] )² - ([tex]\sqrt{17}[/tex] )² i² ← i² = - 1

= 5 - 17(- 1)

= 5 + 17

= 22  

Kyla alternates between walking and jogging on an 11-mile trail. Her walking speed is 4 mi/h, and her jogging speed is 6 mi/h. Kyla takes 2 hours to go from the beginning to the end of the trail. Write and solve an equation to find the distance Kyla walked and the distance she jogged.

Answers

Answer:

Kyla walked 2 miles and jogged 9 miles

Step-by-step explanation:

Let the distance Kyla walked be x

and the distance Kyla jogged be y

Since the trail is 11-mile long, then

x + y = 11

Now, from the question,

Her walking speed is 4 mi/h and her jogging speed is 6 mi/h

Let the time spent to walk be t₁ and the time spent to jog be t₂

From

Distance = Speed × Time

Then, the distance walked x is

x = 4 mi/h × t₁

and the distance jogged y is

y = 6 mi/h × t₂

From the question, Kyla takes 2 hours to go from the beginning to the end of the trail, that is

t₁ + t₂ = 2 hours

∴t₁ = 2 - t₂

Since

x + y = 11, then we can write that

(4 mi/h × t₁) + (6 mi/h × t₂) = 11

But t₁ = 2 - t₂

Then,

(4 mi/h × t₁) + (6 mi/h × t₂) = 11; becomes

(4 mi/h × (2 - t₂)) + (6 mi/h × t₂) = 11

8 - 4t₂ + 6t₂ = 11

2t₂ = 11 - 8

2t₂ = 3

t₂ = 3/2

t₂ = 1.5 hours

This is the time spent to jog

Then, from t₁ = 2 - t₂

t₁ = 2 - 1.5

t₁ = 0.5 hour

This is the time spent to walk

Now, For the distance Kyla walked, x

x = 4 mi/h × t₁

x = 4 mi/h × 0.5

x = 2 miles

Hence, she walked 2 miles

and for the distance Kyla jogged, y

y = 6 mi/h × t₂

y = 6 mi/h × 1.5

y = 9 miles

Hence, she jogged 9 miles

Lisa runs between 5 and 7 miles per day. It takes Lisa 10 minutes to run one mile. What is a reasonable amount of time that Lisa
spends running every day?

Answers

Answer:

50-70 minutes

Step-by-step explanation:

Please help. I dont know how to do this

Answers

Answer:

y=3x+3

Step-by-step explanation:

3 is the slope, up 3 and right 1

3 is the y intercept

28 point and branliest
Alan purchased 16 shares of company stock for $390.40. A month later, the total value of his shares fell to $291.20. What is the current price per share if each share costs the same?
A.
$6.20
B.
$18.20
C.
$24.04
D.
$24.40

Answers

Answer: $18.20

Step-by-step explanation:

390.40/16 to find the initial costs of the shares. That would be $24.40 per share. However, since the stock has fallen, you would do that same division, but with the new value. 291.20/16, which is $18.20

Answer:

$18.20 per share is the value of each stock currently

Step-by-step explanation:

Take the value the stocks are worth now and divide by the number of shares

291.20/16

$18.20 per share

$18.20 per share is the value of each stock currently

Find the vertex and vertex form of
the following:
f(x) = x^2 - 8x+9

Answers

Answer:

(4,-7)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  ( h,k ) .

The Quadratic when written in factored form is (x-3)(x+9)=0. What are the roots?
3 and 9
-3 and 9
3 and -9
-3 and -9

Answers

Set both equal to 0
(x-3) = 0
x = 3
(x+9) = 0
x = -9
So 3 and -9

2-86. Simplify the expression
a. 5x + 4 - 2x +3 - 2x
b. 17m-2-9m + 7 -2m
c. 2xy - 2yz + 7x2 + 6xy - 2xz

Answers

Are those answer options or are they what you need simplified? What is the "2-86"?
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