A group of 44 students is planning a train trip to Washington, D.C. They held many fundraisers and raised $10,880. Nathan said, “We should have enough money to pay for the train tickets. There are about 50 students going on the trip and one round trip ticket costs about $200. That makes the total cost of the tickets less than $10,000.” Does Nathan’s reasoning make sense?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Yes, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.

Answer 2

Answer:

Yessirr

Step-by-step explanation:

Yessir, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.


Related Questions

Convert 7/4 into a decimal

Answers

Answer:

1.75

Step-by-step explanation:

7/4 is 1 3/4, which is 1.75

Hope this helps plz mark brainliest if correct :D

Answer:

1.75

Step-by-step explanation:

A salesman drove from his home to a nearby city at an average speed of 40 mi/h. He returned home at an average speed of 50 mi/h. What was his average speed for the entire trip?

Answers

Answer:

44.44 mph

Step-by-step explanation:

[tex]speed = \frac{distance}{time} = \frac{distanceTo + distanceFrom}{time1 + time2} = \frac{2d}{\frac{d}{40} + \frac{d}{50} }[/tex]

= [tex]\frac{2d}{\frac{5d + 4d}{200} } = \frac{2d}{\frac{9d}{200} }[/tex]

= 2d * [tex]\frac{200}{9d}[/tex]

= 400 / 9

= 44.44

Answer:

44.4 miles per hour

Step-by-step explanation:

d = the distance between cities

t 1= the time from home to the city

t 1 = the time . from the city to home

2d/t1 + t2 = 2d/ d/40 + d/50

=2d/5d+4d =2d/9d

divide both sides by 200

=2d * 200/9d =400/9

= 44.4

Which situation represents a proportional relationship?*
A The cost of purchasing a gym membership is $25 per month plus a $100 joining fee
B The cost ordering Uber Eats is $3.50 per meal with a delivery charge of $5
C The cost of cell phone plan is $65 per month
D The cost of shipping a package is $1.25 per pound plus a shipping fee of $2

Answers

Answer:

c

Step-by-step explanation:

because it is just i one time fee evey month

Stacy goes to the county fair with her friends . The total cost of ride tickets is given by the equation c=3.5t , where c is the total cost of tickets and t is the number of tickets . If Stacy brought 15 tickets she would spend how much money ?

Answers

Answer:

$52.5

Step-by-step explanation:

Step one:

given data

we are given that the linear function for the cost is  c=3.5t

c is the cost and

t is the number of tickets.

We are told that t=15, to find c, let us put the value of t in the linear function for the cost

[tex]c=3.5(15)\\\\c=52.5[/tex]

This shows that 15 tickets will cost $52.5

In 1978, the Social Security and Medicare rate combined was 6.05%, up to $17,700 earned. Express the Social Security tax s(x) for 1978 as a piecewise function. Ten years later, the percent had increased to 7.51% and the maximum taxable income had increased to $45,000. Express the Social Security tax s(x) for 1988 as a piecewise function. If a person earned $50,000 in 1978, and $50,000 in 1988, what was the difference in the Social Security and Medicare taxes paid?

Answers

Answer:

Step-by-step explanation:

From the given question:

a) The piecewise function for the Social Security tax s(x) is expressed as:

s(x) = x * 6.05% when x < $17,700

The 6.05% of the given amount is:

= (6.05/100) * 17700

= 1070.85

s(x) = 1070.85 when x ≥ $17,700

b) Ten years later, i.e. 1988; the percentage had increased to 7.51% & maximum taxable income also increased to $45000

The piecewise function for the Social Security tax s(x) is expressed as:

s(x) = x * 7.51% when x < $45,000

The 7.51% of the given amount is:

= (7.51/100) * 45000

= 3379.5

s(x) = 3379.5  when x ≥ $45,500

c) The difference in the Social Security and Medicare taxes paid is as follows:

In 1978, s(x) = 1070.85 when x ≥ $17,700

In 1988, s(x) = 3379.5  when x ≥ $45,500

The difference in the Social Security and Medicare taxes paid  = $3379.5 - $1070.85

The difference in the Social Security and Medicare taxes paid = $2308.65

In 1988 $ 1,578.65 less was paid than in 1978.

Given that in 1978, the Social Security and Medicare rate combined was 6.05%, up to $ 17,700 earned, while ten years later, the percent had increased to 7.51% and the maximum taxable income had increased to $ 45,000, to determine, if a person earned $ 50,000 in 1978, and $ 50,000 in 1988, what was the difference in the Social Security and Medicare taxes paid, the following calculations must be performed:

 

(50,000 - 17,700) x 0.0605 = year 1978 1,954.15 = year 1978 (50,000 - 45,000) x 0.0751 = year 1988 375.50 = year 1988 year 1978 - year 1988 = 1,578.65

Therefore, in 1988 $ 1,578.65 less was paid than in 1978.

Learn more in https://brainly.com/question/20594276

evaluate 3(c+d) if c = 8 and d = -5

Answers

Answer:

9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3(c + d)

c = 8

d = -5

Step 2: Evaluate

Substitute:                    3(8 - 5)Subtract:                       3(3)Multiply:                        9

The difference of twice a number and 9.

Answers

Answer:

2(9-x)

Step-by-step explanation:

Answer:

2n - 9

Step-by-step explanation:

Twice a number is referring to 2 times n or just 2n. To find the difference you would subtract 2n and 9, 2n - 9

Need some serious help ASAP (will give brainliest)

Answers

I could be wrong (and I apologize if I am), but I believe these are the answers to your questions.

1.) Angle 4
2.) Angle 6
3.) Angle 10
4.) 30 degrees
5.) 48 degrees
6.) 55 degrees
7.) 68 degrees
8.) 148 degrees
9.) 102 degrees
10.) 38 degrees

If I turn out to be correct, then I am happy I was able to help you.

...........................​

Answers

Answer:

20

Step-by-step explanation:

5 divided by 1/4= 20

7. I sell cookies for $2 and muffins for $5. Yesterday, I made $35. I sold a total of 13 items.
How many of each did I sell?

Answers

You sold 10 cookies and 3 muffins.
You sold 10 cookies and 3 muffins

PLZ HELP!!!
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a
missing piece. You may choose to write a problem that is two- or three-dimensional in nature.
Be sure that you will be able to draw a diagram of your scenario. Be sure to end your scenario
with a question. (Example: There is a bike ramp that measures 3 feet tall and 4 feet wide. What
is the slant length of the ramp?)

Answers

Answer:

Step-by-step explanation:

A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder. Hope this helps.

Complete the work to find the dimensions of the rectangle. w(2w + 4) = 240 2w2 + 4w = 240 2w2 + 4w – 240 = 0 2(w + 12)(w – 10) = 0 What is the width of the rectangle? What is the length of the rectangle?

Answers

Answer:

Length = 24 and width = 10

Step-by-step explanation:

Initially we start with;

w(2w + 4) = 240

Since we are dealing with a rectangle, it means that w is the width while (2w + 4) is the length.

Further more we see that;

2(w + 12)(w – 10) = 0

Thus means that;

w + 12 = 0 or w - 10 = 0

Thus,w = -12 or w = 10

Width can't be negative and so we pick w = 10

Since length = (2w + 4), then;

Length = 2(10) + 4

Length = 20 + 4 = 24

Answer:

the width is 10 cm and the length is 24cm

Step-by-step explanation:

i just did it

HELP ASAP!! PLEASE!!Given these two triangles, determine if they are similar and
justify your conclusion using the within ratios?

Answers

Answer:

Step-by-step explanation:

BA:AC : ED:DF

          6:10 : 3:5

equals    6/10:3/5=2:1

These ratios are similar, the just double the size

I will give you brainiest if you can answer the questions below.

An arc AB subtends an angle of 2.4 radians at the center O of a circle with radius 50 cm. Find the area and perimeter of sector AOB.

The bottom of a pendulum traces an arc 3 feet in length when the pendulum swings through an angle of ½ radian. What is the number of feet in the length of the pendulum?

Answers

Answer:

a. i. 3000 cm² ii. 220 cm  b.  6 feet

Step-by-step explanation:

A. i. The area of the sector AOB is A = ¹/₂r²θ where r = radius of circle = 50 cm and θ = angle subtended at the center of the circle by the sector in radians = 2.4 radians.

So, A = ¹/₂r²θ

= ¹/₂(50 cm)² × 2.4 rad

= ¹/₂ × 2500 cm² × 2.4 rad

= 1250 cm² × 2.4 rad

= 3000 cm²

ii. The perimeter of the sector is P = 2r + rθ = (2 + θ)r

substituting r and θ, we have

P = (2 + θ)r

= (2 + 2.4) × 50 cm

= 4.4 × 50 cm

= 220 cm

B. Since length of an arc L = rθ where r = radius = length of pendulum and θ = angle swept by pendulum =  ½ radian and length of the arc swept = 3 feet, the radius is

r = L/θ

= 3 feet ÷ ½ rad

= 3 × 2

= 6 feet

A restaurant offers delivery for their pizzas.The total cost is a delivery fee added to the price of the pizzas.One customer pays $25 to have 2 pizzas delivered.Another customer pays $58 for 5 pizzas.How many pizzas are delivered to a customer who pays $80?

Answers

Answer:

x-the cost of one pizza

y-the cost of delivery

2x+y=25

5x+y=58 ->3x=33->X=11->y=3

so,the number of delivered pizzas to the person

num=(80-3)/11=7

Step-by-step explanation:

Each big square below represents one whole

Answers

Answer:

= 61%

Step-by-step explanation:

Shaded is 1.22 out of 200

Shaded is .61 out of 100

TOTAL IS 61%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

3х+5y=14
6x-4y=9
Estimate the solution to the following system of equations by graphing

Answers

Answer:

(2.405,1.357)

Step-by-step explanation:

(2.405,1.357)

What is the smallest perfect square that can be written as the sum of three different prime numbers?

Answers

Answer:

19 is the smallest prime number that is the sum of three different prime number.

Step-by-step explanation:

To find this:

   2 is the only even prime number and other prime numbers are odd

   adding any two prime number always gives even number.

   so the least numbers that are required to do is 3,5 and 7; their sum is 15

   so any prine number less than 15 is not possible for this question

   so, the next prime number is 17

   17 minus any other prime no less 17 are13,11,7.5.3,2 give the number that   4,6,10,12,14,15 which are not sum of any two different prime numbers

   

so the answer is 19=11+5+3.

The smallest perfect square that can be written as the sum of 3 different prime numbers is; 16.

Prime numbers are numbers that can be divided by only themselves and 1.

Now, we want to find the smallest perfect square that can be written as the sum of three prime numbers and so let us list the perfect squares from 1 to 30.

       They are; 4, 9, 16, 25.

Now, for 4; sum of 3 different prime numbers cannot work here because it will give us 1 + 2 + 3 = 5.

For 9; sum of 3 different prime numbers cannot work here because it will give us 2 + 3 + 5 = 10.

For 16; sum of 3 different prime numbers will work here because it will give us 2 + 3 + 11 = 16

Thus, the smallest perfect square that can be written as the sum of 3 different prime numbers is 16.

Read more at; https://brainly.in/question/17539113

10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal​

Answers

15lbs is a better deal

PLEASE HURRY!
------------------------

Answers

Answer:

we cant see the question

Can’t see the question.? Your just showing us which one to choose.

The last one is $30 which one ?

Answers

Answer:

it may be 30

Step-by-step explanation:

becasue 6x2 is 12 half hour $3 and kayak 15 all that is 30

Answer:

it's 30

Step-by-step explanation:

15 + 6 + 6 + 3

15+15

15 was the down payment, plus six dollars for the hours he was there and then three dollars for the half hour.

A swim coach randomly selects 3 swimmers from a team of 8 to swim in a heat.
What is the probability that she will choose the three strongest swimmers?

Answers

Answer:

37.5, i think

Step-by-step explanation:

★PLSSSSS HELPPPPPPPPP★

Answers

3) 6.50 87-22 = 65 65/10 = 6.5
10-0 = 10
The answer is 6.50
Hope this helps

using the slope formula find the slope of the line that passes through these points (3,7) and (3,5)

Answers

Answer:

Undefined

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]

5-7/3-3

-2/0

Since the denominator is 0, the slope is undefined.

Best of Luck!

Identify the slope of each of the following equations.
(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?

Answers

Answer:

fg nyg jhb jhg ewvjh

Step-by-step explanation: wedf hcx sdf hbvc

Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?
Question 5 options:

A.The line for one equation is steeper than the other.

B.The line will move from crossing at the y-axis at 5 down to crossing the y-axis at -3

C.The y-intercepts are the same in both equations.

D.The line for each equation will be the same.
Needed A.S.A.P thank you very much!!

Answers

Answer:

Option B is correct

Step-by-step explanation:

The equation of a straight line is given as;

y = mx + b

where m is the slope and b is y-intercept

Let’s evaluate the options one after the other;

A. This is wrong as they both have same slope of 2

C. The y-intercepts are not the same

One is 5, the other is -3

D. This is wrong, the line cannot be the same

Option B is correct

The y-intercept of both varies

While 1 is already appreciated, the other is coming back

Find the slope of the line that passes through (1,3) and (8,9)​

Answers

Answer:

6/7

Step-by-step explanation:

90% of the seniors at Richmond high school will attend the school prom. If 270 seniors attend
the prom, how many seniors go to the high school?

Answers

Answer:

243

Step-by-step explanation:

make 90% into a decimal

0.9

multiply 270 by 0.9 to get the answer of 243

M is the amount of money the students collect for selling R raffle tickets. Write an equation that reflects the relationship between M and R?

Answers

Answer:

M=24/10R

Step-by-step explanation:

what is the answer to 4w^4+w^4+3w^2-2w^2

Answers

Answer: 5w⁴ + w²

Step-by-step explanation: Pic is attached. Hope this helps. Sorry for bad handwriting, Im writing with a mouse.

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