The students at Plymouth South and the students at Plymouth North both planned trips to Six Flags. The students at South rented and filled 2 vans and 11 buses with 674 students. North rented and filled 6 vans and 14 buses with 882 students. Each van and each bus carried the same number of students. Find the number of students each van and In each bus. (Write your answer as an

Answers

Answer 1

Answer:

Number of vans = 7 students

Number of buses = 60 students

Step-by-step explanation:

Let

Number of vans = x

Number of buses = y

2x + 11y = 674 (1)

6x + 14y = 882 (2)

Multiply (1) by 3

6x + 33y = 2,022 (3)

6x + 14y = 882 (2)

Subtract (2) from (3)

33y - 14y = 2,022 - 882

19y = 1,140

y = 1,140 / 19

= 60

y = 60 students

Substitute y = 60 into

2x + 11y = 674 (1)

2x + 11(60) = 674

2x + 660 = 674

2x = 674 - 660

2x = 14

x = 14/2

= 7

x = 7 students


Related Questions

Please help the question is in the photo

Answers

Answer:

SSS or SAS

Step-by-step explanation:

How can you write the number 1 as a power with base 2? a power with base 10?


plz i really need help it would mean alot

Answers

Answer:

2^1 ?   10^x

Step-by-step explanation:

1 can be written as a power with base 2 as [tex]2^0[/tex].

1 can be written as a power with base 10 as [tex]10^0[/tex].

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To write the number 1 as a power with base 2,

We can use the following formula:

[tex]2^0[/tex] = 1

Therefore,

1 can be written as [tex]2^0[/tex].

To write the number 1 as a power with base 10, we can use the following formula:

[tex]10^0[/tex] = 1

Therefore,

1 can be written as [tex]10^0[/tex].

Thus,

1 can be written as a power with base 2 as [tex]2^0[/tex].

1 can be written as a power with base 10 as [tex]10^0[/tex].

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Draw a picture first, then use the Pythagorean Theorem to solve. Round
your answer to the nearest tenth.
A wire is stretched from the top of an 8-ft. pole, to a bracket 5-ft. from the
base of the pole. How long is the wire?
O 9.4
09.0
O 89.0
O 13

Answers

Answer:

your answer would be 9.4

Step-by-step explanation:

you'd have to plug in the numbers in the equation.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.

Ok the question is on here now... The first person who answers it correct gets brainliest...

Answers

2 is a prime number and a integer

24 is a whole number and an integer

1 is an integer and a whole number

0 is a rational, whole, integer and real number

and seven is a whole and integer

CAN I HAVE HELP!!!!!!!!!!!

Answers

the answer is D 21 :)

some one please help me ms derienzo is killing my little pea brain

Answers

I’m pretty sure the answer would be A, sorry if i’m incorrect, have a great day :)

Will give brainliest :D

Answers

Answer:

D.

Step-by-step explanation:

Pretty sure

Pedals of Petals, a bike manufacturer that makes flower-themed bikes, has a fixed cost of $100,000 due to the equipment necessary to make the bicycles. Additionally, each bike costs $100 in labor and materials to make. If each bike sells for $300, how many bikes must be sold in order for the company to break even?

Answers

Answer:

Break-even point in units= 500

Step-by-step explanation:

Giving the following information:

Fixed costs= $100,000

Unitary variable cost= $100

Selling price per unit= $300

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 100,000 / (300 - 100)

Break-even point in units= 500

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (4,-3); y=-5x+8

Answers

Answer:

Step-by-step explanation:

The slope of the line is m = -5

4 is your x1

-3 is your y1

Plug into the equation y - y1 = m(x - x1)

y + 3 = -5(x - 4)

y + 3 = -5x + 20

   -3             -3

y = -5x + 17

Factor the expression using the GCF. 25 + 50

Answers

Answer:75

Step-by-step explanation:

The corner store sells pears at a rate of $2.50 per pear. If Fiona has $15.00 dollars, how many pears can Fiona buy?

Answers

Answer:6

Step-by-step explanation:

If you divide 15 by 2.50 or 2.5 you get 6 and Fiona can get 6 pears with 15 dollars

PLZZ HELPP IM FAILLING

What number could be a common denominator for these three fractions?
1/2 and 1/3 and 1/4

Answers

Answer:

12 would be a common denominator

Step-by-step explanation:

2 4 6 8 10 (12)

3 6 9 (12)

4 8 (12)

Chris wrote an equation and the first step of his solution process, as shown.

6 = 12 − 6x
-6 = -6x

Which math operation did Chris apply in his first step?
A) He divided 16 by 4.
B) He added 12 to each side of the equation.
C) He divided each side of the equation by 4.
D) He subtracted 12 from each side of the equation.
Please help me

Answers

d) he subtracted 12 from each side of the equation

hope this helps, please mark brainliest :)
D) He subtracted 12 from each side of the equation.

Bernard typically runs x km/hour. While he was sick, he only ran 41.5 km/hour. What equation represents that the difference in his speeds is 13.5 km/hour?
x – 41.5 = 13.5
41.5 + x = 13.5
13.5 – x = 41.5
13.5 – 41.5 = x

Answers

Answer: A) x-41.5=13.5

Step-by-step explanation: edge

Answer:

a is correct

Step-by-step explanation:

1. Round each length to the nearest inch.
a) [tex]1 \frac{1}{4} [/tex] ____"
​b) [tex] \frac{7}{8} [/tex] ____"
c) [tex]1 \frac{1}{2} [/tex] ____"
d) [tex]2\frac{5}{8} [/tex] ___"
e) [tex]1\frac{5}{16} [/tex] ___"
f) [tex]4\frac{11}{16} [/tex] ___"

2. Round each length to the nearest foot.
a) 10" _____'
b) 2'9" ____'
c) 2'6" ____'
d)2'9" ____'
e)1'2" ____'
f)9'3" ____'​

Answers

9514 1404 393

Answer:

  1.  1, 1, 2, 3, 1, 5

  2.  1, 3, 3, 3, 1, 9

Step-by-step explanation:

1. Any fraction of an inch that is 1/2" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want. Of course ...

  1/2" = 2/4" = 4/8" = 8/16"

  a) 1"

  b) 1"

  c) 2"

  d) 3"

  e) 1"

  f) 5"

__

2. Any inch measure that is 6" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want.

  a) 1'

  b) 3'

  c) 3'

  d) 3' . . . same as B

  e) 1'

  f) 9'

John paid $127 for football camp. He paid $7 for each week that he
was enrolled after receiving a discount of $5 off per week. What is
w, the number of weeks John was enrolled in football camp?
John and George paid $127 for football camp. John paid $7 for each
week that he was enrolled in camp. George paid $5 for each week
he was enrolled in camp. What is w, the number of weeks John and
George were enrolled in football camp?
John paid $127 for football camp. He paid a $7 registration fee and
S5 for each week he was enrolled in camp. What is w, the number
of weeks John was enrolled in football camp?
e
John paid $127 for football camp. He paid a 55 registration fee and
$7 per week for each week that he was enrolled in the camp. What
is w, the number of weeks John was enrolled in football camp?

Answers

Answer:

Answer is John paid $127 for football camp. He paid a $7 registration fee and

$5 for each week he was enrolled in camp.

Step-by-step explanation:

w is week btw so he was enrolled for 5 weeks

For this one I would have to guess with the top one or A.


A cab driver charges a fixed rate of $3 plus an additional $1.50 for each mile driven. When representing this situation with a function rule, which of the
following would be the independent variable?

Answers

the independent variable would be the fixed rate of $3 because the amount for each mile driven changes based on how far they drive

7.5- x = 2.8
x= 4.7
x= 5.3
x= 5.7
x= 10.3​

Answers

Answer:

10.3

Step-by-step explanation:

7.5+2.8=10.3

You reverse the equation. :)

i just want to tell everyone their doing great

Answers

Thank you so much!
I needed that

Mrs. Holcomb has joined Weight Watchers. She would like to lose 12 kg in 30 days. On the average, how many pounds per day will Mrs. Holcomb need to lose to meet her goal? (2.2lbs. = 1 kg)Immersive Reader
Options are below
0.44 lbs.
0.88 lbs.
1.1 lbs.
2.5 lbs.

Answers

Answer: 0.88 lbs.

Step-by-step explanation:

12/30 = 0.4 (she needs to lose 0.4 kg everyday)

0.4 x 2.2 = 0.88 lbs

HELP ASAP!! WILL MARK BRAINLIST!!!!!!!

Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs. If he plays a total of 1272 games in his career, approximately how many home runs will he hit?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.

Answers

Answer:

120 home runs.

Step-by-step explanation:

Let x be the number of home runs after playing 1272 games.

We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.

Let us find the probability of hitting home runs in next game.

To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.

So we can set a proportion as:

Let us multiply both sides of our equation by 1272.

 

   

Therefore, Derek Jeter will hit approximately 120 home runs in his career.

In his career, Derek Jeter will probably hit 120 home runs.

What is a proportion?

A proportion is an equation that sets two ratios at the same value.

Let x be the number of home runs after playing 1272 games.

And given, Derek Jeter hits 15 home runs in 159 games.

To find the number of home runs he hit in 1272 games,

x =  1272 x 15 / 159

x = 120

And to find the proportion:

15x = 120

x = 120/15

x = 8

We can calculate the Cross Product this way:

cross product with angle and unit vector

a × b = |a| |b| sin(θ) n

Therefore, Derek Jeter will hit approximately 120 home runs in his career.

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What is 5/9 divided by 1/2 rewritten with an improper fraction

Answers

It would be 10/9

Use the keep, change, flip rule to solve

5*2=10 which will be in top

And 9*1=9 which will be at the bottom

The division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.

Given that the expression 5/9 divided by 1/2.

To rewrite the division expression 5/9 divided by 1/2 as an improper fraction, and perform the division operation and express the result in the form of a single fraction.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, multiply 5/9 by the reciprocal of 1/2.

Reciprocal of 1/2 = 2/1

So, the division expression can be rewritten as:

5/9 ÷ 1/2 = 5/9 x 2/1

Multiplying the fractions:

(5 x 2) / (9 x 1) = 10/9

An improper fraction is one where the numerator is equal to or greater than the denominator. In this case, 10/9 is an improper fraction because the numerator (10) is greater than the denominator (9).

Therefore, the division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.

Learn more about fractions and division click here:

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Find the inverse of function f

Answers

Are u by chance from the Italian function

Answer:

ummm ive never saw this math in my life before lol

HELP ANSWER X FOR THIS ISOSCELES TRIANGLE THANK YOU

Answers

Answer:

Step-by-step explanation:

Remark

The point about the question is that the two sides are marked as equal.

Equation

3x + 5 = 5x + 1                  Subtract 3x from both sides

Solution

3x - 3x + 5 = 5x - 3x + 1   Combine like terms

5 = 2x + 1                          Subtract 1 from each side

5-1 = 2x +1 - 1                    Combine

4 = 2x                               Divide by 2

4/2 = 2x/2

x = 2    

Which two triangles are congruent? Complete the congruence statement.


Answers

Answer:

∆VXW and ∆BDC are congruent

Step-by-step explanation:

to proof:∆VXW and∆BDC are congruent

proof:

statements reasons

1.in ∆VXW and ∆BDC, 1.

i.VW=BD(S) i.given

ii.VX=CD(S) ii.given

iii.XW=BC(S) iii.given

2.∆VXW and∆BDC 2.using S.S.S axiom

are congruent

hence proved.

A=1/2w(b+c) solve for c

Answers

9514 1404 393

Answer:

  c = 2A/w -b

Step-by-step explanation:

Multiply by the inverse of the coefficient of the parentheses.

  [tex]A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}[/tex]

Uriah deposited a check into his account for $310.64. Then, he withdrew 129.43 in cash in the same transaction. What is the net amount of Uriah's transaction?

Answers

310.64 - 129.43 equals 181.21

Your answer is 181.21

I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

An adult cheetah can run up to 70 miles per hour. About how fast is this in feet per second?

Answers

Answer:

An adult cheetah can run 103 feet per second!

Step-by-step explanation:

First we need to convert our miles to feet, there are 5,280 feet in one mile.

So 70 miles multiplied by 5,280 feet is 369,600 feet.

Now we need to convert an hour to seconds.

There are 60 seconds in one minute, so we multiply 60 seconds by 60 minutes, there are 3,600 seconds in one hour.

Now we need to divide the number of feet by the number of seconds.

369,600 ÷ 3,600 = 102.666667

102.666667 rounded to the nearest whole number is 103.

please help me due in 10 min please help

Answers

Y=7 x=3 if you plug them in they equal out

A pack of 6 gatorades costs $4.50. What is the price per Gatorade?

Answers

Answer:

$0.75

Step-by-step explanation:

Given that a pack of 6 Gatorades costs 4.50, simply divide 4.50 by 6.

4.50/6=0.75

Thus, $0.75 is your answer.

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