A School District transported 310 students and teachers to a zoo in buses and vans. Each bus transported a total of 20 students and teachers Each van transported a total of 10 students and teachers. There were 5 more buses than vans. What is the total number of students & teachers who rode the buses to the zoo? What is the total number of students & teachers who rode the vans to the zoo?

Answers

Answer 1

Answer:

240 Students and teachers rode buses

70 students and teachers rode vans

Step-by-step explanation:

Let the total number of buses be x

Let the total number of vans be y

If there were 5 more buses than vans, then x = y+5 ...... 1

If each bus transported a total of 20 students and teachers and each van transported a total of 10 students and teachers then:

20x + 10y = 310 ..... 2 (where 310 represents the total number of students and teachers in the school district)

Substitute equation 1 into 2:

20(y+5)+10y = 310

20y+100+10y = 310

30y = 310-100

30y = 210

y = 210/30

y = 7

Substitute y = 7 into equation 1 to get x:

From 1: x = y+5

x = 7+5

x = 12

The total number of buses are 12 while the total vans are 7

If each bus transported a total of 20 students and teachers, the total number of teachers and students that rode the buses to the zoo will be 20*12 = 240 teachers and students

If each van transported a total of 10 students and teachers, the total number of teachers and students that rode the vans to the zoo will be 10*7 = 70 teachers and students


Related Questions

Which pairs of points would result in a line with a rate of change of 2.1? Select all that apply.
A. (-4,11) and (-2,7)
B. (5, 6) and (-5, 12)
C. (0,3) and (-4,11)
D. (0, – 3) and (5, 7)

Answers

Answer: A, C and D

Step-by-step explanation:

Let us find the slope(rate of change ) of each pair of points

The slope formula is

Plug in the points (− 4 ,− 11 ) and (-2 , − 7) to get;

The rate of change of this pair 2:1

For B part, we plug the points ( 5 , 6 ) and ( − 5 , 12 )

The rate of change is NOT 2:1

For part C, we plug in ( 0 , − 3 ) and ( − 4 , − 11 )

The rate of change of this pair is also 2:1

For part D, we plug in (0 , − 3) and ( 5 , 7 )

This also has rate of change to be 2:1

Find the measure of the angle indicated in the bold type

Answers

Answer:

94 degrees

Step-by-step explanation:

So you set those equations equal to 180 to find x.

14x+10+15x-4= 180

29x+6= 180

29x= 174

x=6

So now that x=6, you plug it in to find the bold angle.

14(6)+10

84+10

= 94

A consumer spends all of his money on two goods: apples and oranges. The consumer will pay $10 for apples, but only $1 for oranges. Why does the consumer pay more for apples?

Answers

Answer:

Step-by-step explanation:

Since no further information is given in this question the only reason a consumer would spend more on one item than the other is purely because of preference. The consumer in this scenario seems to enjoy eating or needs apples much more than he enjoys eating or needs Oranges. Therefore, he is ok with spending more money and getting a larger quantity of Apples than Oranges. This all depends on the demand that the individual has for a specific item over another item.

Mark and Jane had 95 stamps. After Mark gave 35 stamps to Kevin, Mark and Jane had same number of stamps. How many stamps did Mark have at the beginning?

Answers

95 - 35 = 60
60/2 = 30
35 + 30 =65
Mark had 65 stamps at the beginning.

How Many Miles Is A Race That Is 12 Laps Around A 1/2- Mile Track?

Answers

Answer:

12 Miles is the answer! Hope you do Great!

Step-by-step explanation:

What is the measure , in degrees of the angle marked B?

Answers

Answer:

B = 142

Step-by-step explanation:

First, you need to find the angle of the third angle of the triangle. The three angles of a triangle always add up to 180, so it will be:

n + 77 + 65 = 180

= n + 142 = 180

= n = 38

Now, you need to find the angle supplementary to 38, as 38 and B are linear angles. Two supplementary angles add up to 180, so:

B + 38 = 180

= B = 142

The measure of the angle marked as B that is ABD in the given figure is equal to 142°.

Let us consider the vertices of the triangle are A, B , C

Where

measure of angle A = 77 degree

measure of angle C = 65 degree

Ray CB extends to Point D such that C-B - D.

Sum of all the interior angles in a triangle is equal to 180 degree.

Let measure of angle ABC be x degree.

m∠ABC + m∠BAC + m∠BCA  = 180°

⇒ x° + 77° + 65° = 180°

⇒ x° + 142°= 180°

⇒ x° = 38°

Now angle ABC and angle ABD are linear pair.

m∠ABC + m∠ABD = 180°

⇒ 38° + m∠ABD = 180°

⇒ m∠ABD = 180° - 38°

⇒ m∠ABD = 142°

Therefore, measure of the angle marked as B is equal to  142°.

learn more about angle here

brainly.com/question/30147425

#SPJ2

so if u-6=-3 does that mean u equals 9?

Answers

Answer:

False.

Step-by-step explanation:

u = 3

Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Add 6 to both sides of the equation:

u - 6 = -3

u - 6 (+6) = -3 (+6)

u = 6 - 3

u = 3

~

Simplify the expression: 3x+2(x+6)-4-2x

Answers

Answer:

3x+8 is the simplest you can get to

Step-by-step explanation:

Answer:

3x+8

Step-by-step explanation:

3x+2(x+6)-4-2x

Apply the distributive property

3x+2x+12-4-2x

Combine Like Terms

3x+8

help please ill give brainliest

Answers

The angle is a right angle so therefore you can use Pythagorean theorem to find the value of hypotenuse x.

Theorem:
a^2+b^2=c^2, with C representing hypotenuse.

Substitute numbers:
7^2 + 3^2 = c^2
49+9=c^2
58=c^2
Square root to isolate c. Radical 58 is your answer.

describe a real life multiplication situation for wich an estimate makes sense

Answers

Answer and step-by-step explanation:

Let's say for example that you want the circumference of a car tire to be a certain size, but the company only sells the measurements in the tire's radius. The formula for circumference is 2 * pi * r. We know that pi is not a rational number, so an estimate is required. The car tire you want is 6.5 inches in it's radius, and you want to see what the circumference is. Firstly, let's substitute the r in our equation. Then the equation becomes 2 * pi * 6.5. Then let's solve. Let's change our equation to 2 * 6.5 * pi to save the irrational part for last. Then our equation is 13 * pi. Lastly, let's round pi to 3.14, since we can only estimate its irrationalness. We get 40.82 inches. This is an example that you might use in real life while multiplying and estimating. I hope this helps, I hope it's not wrong, but I do not think it is.

I NEED HELP ASAPP!!!!

Answers

Answer: 156 divide 15 = 10.4

Step-by-step explanation:

Let a represent an unknown number. If 33 is 11 more than a, which equation can be used to find a?

33 + 11 = a
33 – 11 = a
33 × 11 = a
33 ÷ 11 = a

Answers

The answer is 33 - 11 = a

Answer:

33-11=a

Step-by-step explanation:

3-11=22  so a =22 , so 22 equals a. this makes a 11 less than 33.  33-22=11 so a has to equeal 22

what s 1 +2 i forgot

Answers

Answer:

3 is te anwer jajajaj thanks u

16x + 2x2•y-1

HELPP PLEASE !!

Answers

Answer:

1+4*y-1. simplified version :4y-3.

Step-by-step explanation: Also, I didn't know if you wanted it simplified.

find the circumference and area of a circle of radius 4.2cm. plz help me today is a due date.​

Answers

Answer:

The circumference of the circle is 26.4 cm

The area of the circle is 55.44 cm²

Step-by-step explanation:

The circumference of the circle C = 2πr

The area of the circle A = πr²

r is the radius of the circle

r = 4.2 cm

→ Substitute it in the first rule to find the circumference

C = 2πr

∵ π = [tex]\frac{22}{7}[/tex]

∴ C = 2 ×  [tex]\frac{22}{7}[/tex] × 4.2

C = 26.4 cm

The circumference of the circle is 26.4 cm

∵ A = πr²

∵ r = 4.2 cm

∵ π = [tex]\frac{22}{7}[/tex]

→ Substitute them in the second rule to find the area

∵ A = [tex]\frac{22}{7}[/tex] × (4.2)²

A = 55.44 cm²

The area of the circle is 55.44 cm²

What is the slope and y-intercept of the equation below?
3x - 2y = 6

Answers

Slope: 3/2
Y-intercept: -3

answer:

the slope is: 3 over 2

the y intercept is: negative 3

explanation:

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

What inequality represents this graph?

Answers

Answer:

x ≥ -8

General Formulas and Concepts:

If it is a closed dot, we use the inequality and equal sign: ≥ or ≤

If it is a open dot, we use the inequality only: > or <

Step-by-step explanation:

We can label the solutions as x.

We see starting from -8 that are solutions get larger.

Since the dot is closed, we use the greater than or equal to sign: ≥

Therefore, x has to be greater than -8 and increasing towards ∞.

x ≥ -8

WILL GIVE BRAINLIEST TO WHOEVER GIVES BEST ANSWER!!!!

Simplify an expression for the area of the rectangle shown.
( answer choices shown in image )

Answers

Answer: 40x + 15

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.

40x plus 15 is it ...............

solve for f.
f - 518 = -147
f = ?
please help

Answers

Answer:

f = 371

Step-by-step explanation:

Just add 518 to both sides this dumb easy

A car dealership manager has determined that the prot, in thousands of dollars, of the dealership can be determined by the expression , where is the number of cars sold. A dierent manager states that the prot of the dealership can be determined by the function . What number of cars sold makes the equation true? Select all that apply

Answers

A car dealership manager has determined that the profit, in thousands of dollars, of the dealership can be determined by the expression LaTeX: x^2-4xL a T e X : x 2 − 4 x, where LaTeX: xL a T e X : x is the number of cars sold. A different manager states that the profit of the dealership can be determined by the function LaTeX: 5xL a T e X : 5 x. What number of cars sold makes the equation LaTeX: x^2-4x=5xL a T e X : x 2 − 4 x = 5 x true? Select all that apply.

Answer:

x = 0 ; x = 9

Step-by-step explanation:

Given that:

Manager 1 's profit function:

x² - 4x ; x = number of cars sold

Manager 2's profit function:

5x ; x = number of cars sold

Nunbers That makes the equation:

x² - 4x = 5x true

x² - 4x = 5x

Subtract 5x from both sides to make right hand side =. 0

X² - 4x - 5x = 5x - 5x

x² - 9x = 0

Using factorization to equate separate the x values.

x(x - 9) = 0

x = 0 or (x - 9) = 0

Hence,

x = 0 ; or

x - 9 = 0 ; x = 9

x = 0 OR x = 9

Number of cars sold which makes both managers have the same profit from the functions are either 0 or 9

Find the value of n for the regular n-gon described.
Each interior angle of the regular n-gon has a measure of 75.2º.

Answers

Answer:

n = 3.44

Step-by-step explanation:

The interior angle of a regular n-gon is given by the formula;

[tex] I = \frac {180(n-2)}{n} [/tex]

Where,

I represents the interior angle. n represents the number of sides.

Given that interior angle = 75.2°

Substituting into the equation, we have;

[tex] 75.2 = \frac {180(n-2)}{n} [/tex]

Cross multiplying, we have;

[tex] 75.2n = 180(n-2)[/tex]

[tex] 75.2n = 180n - 360[/tex]

Rearranging the equation, we have;

[tex] 180n - 75.2n = 360[/tex]

[tex] 104.8n = 360[/tex]

[tex] n = \frac {360}{104.8}[/tex]

n = 3.44

Therefore, the number of sides "n" of the regular n-gon described is 3.44.

PLEASE HELP WILL GIVE BRAINIEST

Answers

Answer:

3

Step-by-step explanation:

find the sum 1/2 + (-3/4)=

Answers

Answer:

I think this is the answer

-0.25

Step-by-step explanation:

2-3/4

-1/4

The answer is -1/4 and this is step by step

please help me with this.

Answers

Answer: Choice B) 74

Explanation:

The two parallel lines form a parallelogram.

For any parallelogram, the opposite angles are congruent.

So the angle adjacent to P is also 106 degrees.

The adjacent angles add to 180

P+106 = 180

P = 180-106

P = 74

EASY - 2nd part
Need the following would you rather questions to be answered for a survey, need 5 people to answer
1) Would you rather be on house arrest or go to jail for a month?
2) Would you rather go to court and plead guilty or be placed on probation for 10 months?
3) Would you rather clean garbage alongside the road or speak to schools?
4) Would you rather go to solitary confinement for a year, or go to regular prison for 10?
5) Would you rather spend a half a lifetime in prison or a lifetime on probation?

Answers

Answer:

1. House arrest

2. Probation for 10 months

3. Speak to schools

4. Regular prison for 10 years

5. Lifetime on probation

Answer:

ok

Step-by-step explanation:

1) House Arrest!

2) Court

3) Speak to School's

4) Solitary

5) Probation

0-0

When is it best to find the average of the entire population? Select all that apply.

A)when there is a small amount of data in the population
B)when there is a large amount of data in the population
C)when it is easy to access the data set of the population
D)when it is hard to access the data set of the population
E)when there is no time to perform the calculations

Answers

Answer:

Step-by-step explanation:

im guessing probably E

I hope im right

Answer: when there is a small amount of data in the population.

Please help quick i’ll mark brainliest

Answers

Answer:

[tex] \triangle \: A'B'C' \: will \: have : \\ \angle \: A' \: at \: point \: ( - 1 ,\: 1). \\ \angle \: B' \: at \: point \: ( 1,\: 3). \\ \angle \: C' \: at \: point \: ( - 3 ,\: 3).[/tex]

5(7a + 5)
simplify your answer

Answers

Answer:

35a+25

Step-by-step explanation:

You distribute the 5 to the 7a & the 5 inside the parenthases.

Question 5 of 5
Which relation is not a function?

Answers

Answer:

Step-by-step explanation:

I think its c

I think it is c. B is wrong

who wants this name for free?

Answers

Answer:

What do you mean?

Step-by-step explanation:

Answer: someone else can have it, but thanks

Step-by-step explanation:

Other Questions
What are the 4 SIMILARITIES between theme and main idea? (Someone please help me with this for 20 points and a brainliest!) b. At its best possible output level, a firm has total revenue of $6,000 per day and total cost of $10,000 per day. What should this firm do in the short run if it has total fixed costs of $3,000 per day Radarisoftenusedtotrackmovingairplanesorstormsbutitcanalsobeusedtolocatestationeryobjectsburiedunderground federalism is best defined as a principal of government that HELPPP ITS DUE AT 2:30 PACIFIC TIME !!! i need help with 6 and 10 What determines how many House representatives each state is granted?(A) All states have 2(B) Population in state(C) Taxes paid to gov't(D) Presidential Cabinet What is the slope of the linear function represented inthe table? Complete the following sentence"T y Rosa ______agua."A: bebenB: compartirC: comemos Under the Articles of Confederation, is it true that the government could collect taxes and regulate commerce.A. TrueB. False Click all the types of energy that is involved after a car fills with gasoline and drives down the road.Question 1 options:chemicalsolarmechanicalnuclear What is the prime factorization of 48? A. 23 32 B. 23 3 C. 24 3 D. 25 In one or two paragraphs, explain how the Silk Road allowed people in different parts of the world to exchange new ideas. How do people in different parts of the world exchange ideas today?Pls help will give brainliest 8. Sherry is going to the top of the wheelchair ramp, as shown in the diagram below.(12.4)(0,0) 1 2 3 47 8 9 10 11 12 13 14What is the approximate total distance Sherry travels while she is on the ramp?Round answer to the nearest tenth.Record your answer and fill in the bubbles on your answer document. Which department is mostly Corrupt in New Haven County?(A) = Plymouth Police Department.(B) = New Haven County Sheriff's Office.(C) = Lander Police Department. What is the hardest thing about remote learning 2. In how many different ways can the letters of the word VACATION be arranged? can someone help me? CRM software programs enable sales people to track of their customer contact information, needs, sales status, and other useful information. True False What structures in plants allow for water and nutrients to be transported?TracheaChloroplastBlood vesselsXylem and phloem estimate 34% of 59a) 15b) 17.7c) 20d) 20.06i really need this like, right now im giving a bunch of points please help meeee!