The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 5 vans and 10 buses with 410 students. High School B rented and filled 10 vans and 12 buses with 556 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Answers

Answer 1

Answer:

A van can carry 15 students and a bus can carry 966 students


Related Questions

Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.

Answers

Answer:

Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.

Step-by-step explanation:

Cylinder A

Base Circumference=3 meters

[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]

Height=5 meters.

Volume [tex]=\pi r^2 h[/tex]

[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]

Cylinder A

Base Circumference=5 meters

[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]

Height=3 meters.

Volume [tex]=\pi r^2 h[/tex]

[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]

Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]

Cylinder B has a greater volume.

bag of potatoes weighs 10 pounds what is the weight of the potatoes on ounce

Answers

Answer:

The potato is a root vegetable native to the Americas, a starchy tuber of the plant Solanum tuberosum, and the plant itself, a perennial in the family Solanaceae. Wild potato species, originating in modern day Peru, can be found throughout the Americas, from the United States to southern Chile.

Step-by-step explanation:

Answer:

160 ounces

Step-by-step explanation:

Sunglass shack is having a 30% off sale on sunglasses. Ann paid $32 for a pair of sunglasses. What was the original price?

Answers

Answer:

about $45.71

Step-by-step explanation

32/70%

32 x 100/70

32 x 10/7

320/7

$45.71

The original price would be $41.6.

factorise : x^2y^2-16​

Answers

Answer:

(xy - 4)(xy + 4)

Step-by-step explanation:

x²y² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x²y² - 16

= (xy)² - 4²

= (xy - 4)(xy + 4)

Julio is doing an experiment in science class where he tests how high a ball bounces when it is dropped from 1 meter.
He tests several balls made of different materials and records the results. The results are shown below.

85 cm, 83 cm, 57 cm, 89 cm, 62 cm, 68 cm, 91 cm, 22 cm, 28 cm, 58 cm, 37 cm, 41 cm, 36 cm, 59 cm, 88 cm, 54 cm, 76 cm, 90 cm

Use the drop-down menus to explain how to choose the intervals for a frequency table to represent the data.
The data values have a spread of centimeters. Intervals with a range of centimeters are reasonable.












Gets THE BRANLIeST QUICKLY ANSWER AND I WILL GIVE YOU ALL MY POINTS!!!!!!!!!!!!!!!!ASAP

Answers

Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.

Answer:

it might be

69

10-20

inverse of f(x)=50000(0.8)^x

Answers

Answer:

Step-by-step explanation:

I need to know this right now :(

Answers

Answer:

40000

400

Step-by-step explanation:

40000 because 4000 * 10 = 40000

400 because 1 / 10 of 4000 = 400

Answer:

ok so 1/2 is your answer 1/4 divide = 1//2 !

Step-by-step explanation:

Add or subtract by first changing the mixed numbers to improper fractions.

A: 3 1/3 + 5 3/4

Answers

Answer:

10/3 and 23/4

Step-by-step explanation:

Answer:

9 1/12

Step-by-step explanation:

3 1/3 + 5 3/4

Get a common denominator of 12

3   1/3*4/4 +  5  3/4 *3/3

3 4/12 + 5 9/12

8 13/12

8 + 12/12 + 1/12

8+1+1/12

9+1/12

9 1/12

Changing to improper fraction

3 1/3 = ( 3*3+1)/3 =10/3

5 3/4 = ( 4*5+3)/5 =23/4

Getting a common denominator

10/3 * 4/4 = 40/12

23/4 *3/3 =69/12

                   -------------

                   109/12

12 goes into 109  9 times

9*12 = 108  and that leaves 1 left over

9 1/12

A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2

Answers

168 in 2 and then 132 in 2

Which shape is NOTa trapezoid

Answers

Answer:

The bottom left

Step-by-step explanation:

it has no pairs of parallel sides

Answer:

Step-by-step explanation:

Trapezoid should have a pair of parallel lines.

Bottom left figures does not have parallel lines. So it  is not a trapezoid.

A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine

Answers

Answer:

8/9

Step-by-step explanation:

The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9

Find the area of the shaded regions:
The pink is the shaded region.

Answers

40π

You dont need paper hw since we're in quarantine

Answer:40

Step-by-step explanation:

Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm

Answers

Answer:

32

Step-by-step explanation:

add 12 + 6 + 14

Does anyone know this

Answers

Answer:

It is A

Step-by-step explanation:

The square route of 174 is 13.190906. Didn't use a calculator.

What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?

Answers

Answer:

-3/2

Step-by-step explanation:

We can find the slope between two points using

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

  = (-7 - -1)/(5 - 1)

  (-7+1(/(5-1)

  -6/4

  -3/2

Answer:

4

Step-by-step explanation:

i did khan :)

i just need this question

Answers

please provide the data to the right

Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.

Answers

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ3

PLEASE HELP I NEED THIS image below

Answers

Answer:

64

Step-by-step explanation:

You need to do 4*4*4 to get your answer.

Hope this helps.

Answer:

64

Step-by-step explanation:

Because 4×4 is 16 and 16 ×4 is 64

Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?​

Answers

Answer:

2,578 = 6X

Step-by-step explanation:

Given:

Total weight of honey collected = 2,578 ounce

Each jar hold honey = 6 ounce

Find:

Expression to estimate number of  jars can fill :

Computation:

Assume ,

Total number of jars can fill = X

So,

Total weight of honey collected  = Total number of jars × Each jar hold honey

2,578 = 6 × X

2,578 = 6X

The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices

Parallelogram

Square

Rhombus

Rectangle

Answers

Answer:D is a rectangle

Step-by-step explanation:

one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?​

Answers

Answer:

30

Step-by-step explanation:

150/100 = 1.5

1.5 is 1% of 150

20% of moviegoers recommend the movie

1.5 times 20 = 30

How many solutions are there to this system of equations?

A) One solution

B)No solution

C)Infinitely many solutions

D)It cannot be determined without solving it.

First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1

Answers

Answer:

one

Step-by-step explanation:

Katherine wants to classify the quadrilateral below. Select all of the names that apply.
A. Quadrilateral
B. Square
C. Parallelogram
D. Rectangle
E. Rhombus

Answers

Answer:

a, c, and e

Step-by-step explanation:

quadrilateral= a four-sided figure

square= a plane figure with four equal straight sides and four right angles

parallelogram= a four-sided plane rectilinear figure with opposite sides parallel

rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square

rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides

Answer:

A,B,D

Step-by-step explanation:

I had this question on a test and these were the correct answers. So this is guaranteed correct!

Explain the Pythagorean theorem.

A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Hope this helps you out!

Answer:

Step-by-step explanation:

c

i need heeellllpppppp

Answers

Answer:

20 cents per unit

Step-by-step explanation:

Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents

Answer:

the unit price is $0.20 for 1 pencil

Step-by-step explanation:

if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil

write it as a ration of cost to pencil

the ratio is 1/5

now divided 5 on the top and the bottom to get the unit price

1 divided by 5= 0.2

so now the ratio is 0.2/1

4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.

Answers

The figures were not drawn to scale.

Answer: (25 – π)

Please solve for x. I need this answered.

Answers

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Answer: Any x is a solution.

Answer:

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?

Answers

Answer:

70 inches cubed.

Explanation:

w•l•h=v

in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball

Answers

Answer:

3/26 students or 11%

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

24/27 = 8/9

A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.

In the system of equations, x represents the, _____and y represents the_____.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.

The total cost of 1 car and 1 SUV is $_____.

The total earnings for hour 3 are $______.

Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?

4x + 2y = 84
3x + 5y = 126

Answers

Answer:

1. cost of each car

2. cost of each SUV

3. (12,18)

4. $30

5. $132

Step-by-step explanation:

In the system of equations,x represents the cost of each car and y represents the cost of each SUV

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

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