The indoor climbing gym is a popular field trip destination. This year the senior class at High
School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 5 buses with 329 students. High School B rented and filled 11 vans and 5 buses with 281 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Answers

Answer 1

Answer:

Step-by-step explanation:

14 x + 5y = 329

11x + 5y = 281(vans is x and busses are y)

cancel out 'y' by making the '5y' in 11x + 5y = 281 negative

-1 (11x + 5y = 281) =

-11x -5y = -281

insert second equation

-11x -5y = -281

14x + 5y = 320

3x = 48

x = 16

substitute vans in one equation

11(16) + 5y = 281

5y = 105

y = 21


Related Questions

factor the expression below 36a2-49b2

Answers

Answer:

(6a - 7b)(6a + 7b)

Step-by-step explanation:

Given

36a² - 49b² ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

36a² - 49b²

= (6a)² - (7b)²

= (6a - 7b)(6a + 7b)

Two pairs of jeans cost $75 before tax. If the total tax paid for the two pairs of jeans was $6, what is the percentage of tax?

Answers

Answer: 8%

hope this helps! :)

work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)​

Answers

Answer:

Y=-2x+9

Step-by-step explanation:

The first thing is to know the formula which is Y÷x

Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y

So it will be Y-7÷X-1 = the gradient which is - 2

So multiply both sides by X-1

So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign

Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers

At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?

75 people

80 people

65 people

70 people

Answers

Its 75 honestly how i did it was just 25x10 then 3x25 which is 75

help me please i have 2 more after this

Answers

Answer:

poop

Step-by-step explanation:

asdasdasd

Answer:

114

Step-by-step explanation:

corresponding angles

congruent

2x + 4y-31=123 what is the equation for x and then y​

Answers

Answer:

i would say

y = ( 77 - x ) / 2

Step-by-step explanation:

2x + 4y = 123 + 31

2x +4y = 154

4y = 154 -2x

y = ( 154 - 2x ) / 4

y = ( 77 - x ) / 2

1. what is the smallest number that you know? Do you think it is really the smallest number?
2. what does zero stands for?
3. when you subtract 8 from 10, what is the difference?
4. How about if you subtract 10 from 8? Is there an answer?
5. Are fractions considered as integers?
6. Do you know fractions? Give some examples.​

Answers

Answer:

There are numbers that are smaller than zero also ie. - 1,-2,-3,-4,-5 etc.

When u subtract 8 from 10 the answer is 2

And,when u subtract 10 from 8,the answer is -2,so there is a lot of difference.

Beatrice threw a stone one and seven fourteenths yards. Tilly threw a stone nine fourteenths of a yard. What is a reasonable estimate of the difference between their two throws?

a. 1 yard
b. one and one half yards.
c. 2 yards
d. two and one half yards

Answers

its b !!!!!!!!!!!!!!!!!!!!!!

help ill give brainlist

Answers

Answer:

I think it's -0.5 so F

Step-by-step explanation:

What method would i use to solve this?

Answers

I think it’s 3 at least from my knowledge

integers that satisfy the inequality 5x - 3 < 12?

Answers

To make it easier, we’ll solve for x, as you do.

To get rid of 3, add 3 to both sides.

5x < 15

Now divide by 5.

x < 3

x is less than 3.

Some integers that satisfy this equation are:

2, 2.9, -10, and anything else below the number 3.

write the missing decimal so the each pair adds to 1

Answers

Answer:

top one is 0.6 bottom one is 0.1

Cora and Hannah measured how high their pet frogs could jump. Cora's jumped x inches,
Hannah's jumped 5 inches less than Cora's. The frogs jumped a total of 53 inches together.
Circle the number that shows the distance Hannah's frog jumped.

Answers

can i see the question or the picture of it?

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.

What is the probability that Tara will select a blue marble from each bag?

Answers

Answer:

The first bag,  1 in 3 and the second, 2 in 9.

Step-by-step explanation:

If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!

Answer:

2/27

Step-by-step explanation:2/27

A thrill ride swings passengers back and forth, a little higher each time up to 37 meters. Suppose the height of the swing after 30 seconds is 15 meters. How much higher will the ride swing?

Help

Answers

37+30+15 I think it is

Assume that the following statements are true A: if Sam is drinking milk. Then it is lunchtime B: if it is afternoon then Julio is drinking water and nothing else C: if it is breakfast time then Sarah is drinking juice and nothing else D: if it is lunch time then Kira is drinking milk and nothing else E: Sam is drinking milk using only the information given above determine if the following must be true, maybe true, or is not true. Explain you reasoning. It is bedtime?

Answers

Answer:

Not true

Step-by-step explanation:

A says that if Sam is drinking milk it is lunchtime and E says that he is drinking milk, so it is lunchtime and not bedtime.

What is m∠CAD?




20º

80º

100º

110º
Triangle A B C extended to both sides from corners A and B. D is a point closer to point A on the extended line. Angle C is located on the top. The measure of angle C is eighty degrees, the measure of angle C B A is twenty degrees. Questions mark is labeled for angle C A D.

Answers

Answer:

100 because you cal look at the balz on that

Step-by-step explanation:

The measure of exterior angle ∠CAD of a triangle ABC is 100°.

From the given figure, ∠ACB=80° and ∠ABC=20°.

What is an exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the given triangle,

m∠CAD=m∠ACB+m∠ABC

⇒ m∠CAD=80°+20°

⇒ m∠CAD=100°

Therefore, the measure of exterior angle ∠CAD of a triangle ABC is 100°.

Learn more about the exterior angle theorem here:

brainly.com/question/2995226.

#SPJ2

3x-9=x-8
what is X??​

Answers

Answer:

x=½

Step-by-step explanation:

3x-9=x-8(Group like terms)

3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).

2x=1(Divide both sides by 2)

x=½

Answer:

0.5

Step-by-step explanation:

3x-9=x-8

3x=x-8+9

3x=x+1

3x-x=+1

2x=+1

x=1/2

x=0.5

You move right seven units. You end at 2,2. Where did you start?

Answers

Answer:

(2-7,2) = (-5,2)

Step-by-step explanation:

You want to rent the grill at the park. It cost $20 to
rent it for 2 hours. If you only need the grill for 3/4
of that time, how much will it cost to rent the grill?

Answers

I would say 15 or so
$15 is your answer. Hope this helps!

A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make

Answers

Answer:

they made 3 batchs

Step-by-step explanation:

Four lines are drawn on a coordinate plane to form trapezoid WXYZ.

A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3).

Which statements are true about the lines? Select three options.

Answers

Answer:

A,C,D

Step-by-step explanation:

Answer:

A C D

Step-by-step explination

it just is

Arrange the steps in the correct order to solve this trigonometric equation 2sin^2 x -sinx -1 =0 for 0 degrees is less than or equal to x is less than or equal to 90 degrees

Answers

Answer:

90°

Step-by-step explanation:

Given the trigonometry equation;

[tex]2sin^2 x -sinx -1 =0[/tex]

Step 1; Let p = sin(x) to have;

[tex]2sin^2 x -sinx -1 =0\\2P^2 -P -1 =0[/tex]

Step 2: factorize the resulting quadratic equation:

[tex]2P^2 -P -1 =0\\2P^2 -2P+P -1 =0\\\2P(P-1)+1(P-1)=0\\(2P+1)(P-1) = 0\\2P + 1 = 0 \ and \ P-1 = 0\\P = -1/2 \ and \ P =1[/tex]

Step 3: Find x:

when p = 1

sin(x) = 1

[tex]x = sin^{-1}1\\x = 90^0[/tex]

also when p  -1/2

sin (x) = -1/2

[tex]x = sin^{-1}-1/2\\x = -30^0\\[/tex]

[tex]x = 180-30\\x = 150^0[/tex]

Since 150° is not within the range 0<x<90, then the only solution is 90°

one number is nine more than another number, if the sum of the number is 65, find both numbers

Answers

Answer:

28 and 37

Step-by-step explanation:

Answer:

28 and 37

Step-by-step explanation:

This is very simple actually!

First subtract the 9:

65 - 9 = 56

Then divide by 2:

56 ÷ 2 = 28

28 is one of your answers. If we want to find the other one, then add back 9

28 + 9 = 37

That's it!

Hope this helped  :)

Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?

Answers

I need to see the graph in order to anwser

Answer:

c is the answer

Step-by-step explanation:

Multiply.
7.8 x 100
7.83 x 10,000

Answers

7.8 x 100 = 780
7.83 x 10,000 = 78,300

Answer:

7.8x100= 780

7.83 x 10,000 = 78300

Step-by-step explanation:

Graham's monthly bank statement showed the following deposits and withdrawals.
- $87.45, - $24.76, $143.87 – $17.29 $348.90
If Graham's balance in the account was $456.78 at the beginning of the month,
what was the account balance at the end of the month?

Answers

Answer:

622.27

Step-by-step explanation:

- $87.45 + (- $24.76) + (-17.29) = $-129.5

$143.87 + $348.90 = $492.77

492.77 - (-129.5) = 622.27

I-pod Touch for $229.99. The tax rate is 4%. What is the tox

Answers

Answer:

the tax is $9.20

What is the measure of angle y?
I need help I’m being timed plz

Answers

Answer:

y=2, angle c=55, line AB is 2, line BC, is 2 angle X is 35. also fun fact that test is messed up because X is the angle not Y so either you may want to tell someone about that.

Step-by-step explanation:

If cot A is undefined, then A =?

Answers

Answer:

A = 0°

Step-by-step explanation:

[tex] \cot A = undefined \\ \\ \cot A = \cot 0 \degree \\ \\ \huge \red{ \boxed{ A = 0 \degree}} \\ \\ [/tex]

Other Questions
What effect does the spinning of the earth's core have?A.it creates gravityB. it creates matterC. it creates massD. it creates the earths magnetic field. What category would you put the following text in?All the village went to the picnic, and they started bright and early in the morning, with horses and farm-wagons, and baskets full of good things to eat, and soon arrived at the bridge.placetimecharacters What is the relationship between spiders andHalloween?A children commonly dress up add spiders for Halloween B spiders are more likely to come out during Halloween timeC spiders are used as decorations for Halloween because people fear themD Halloween celebrates spiders because of their ability to weave complex webs A line passes through (5, 4) and (1, 4).Use the work below.m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. M = StartFraction negative 4 minus (negative 4) Over negative 1 minus 5 EndFraction. M = StartFraction 0 Over negative 6 EndFraction. M = 0.What can you conclude about this line? Select all that apply.It is a vertical line.It is a horizontal line.The equation is x = 4.The equation is y = 4.It is impossible to have m = 0. how does the gradient of a river affect its flow djfbdodkckrejfbdjdjd what type of house needed few building resources other than trees and a axe Should social media influencers be considered as role models for kids and teenagers? Why do you think so? Can someone factor f(x)= 2x^4 -12x^3 +6x +20x and please show steps thank you When the wooden block is placed in the water and allowed to float to the top, what percentage of it is submerged this is for foods but this site has no option for foods PLZ HELP ME!!!Using ______ & _______ will help prevent burns from hot pans. Jack Skellington is hosting a party for Halloween Town. Jack looks at the dessert and noticesthere are 5 72 pumpkin pies missing. Jack leaves and comes back to see that 3 3/4 pumpkin pieshave been eaten. What is the total change of pumpkin pies at the party? Enter your answer Which of the following was not a way colonization affected Americas Indigenous people?A. Many Indigenous people died from European diseases or in battle with the U.S. Army.B. At least 100,000 Indigenous people were forced to move to reservations.C. Indigenous languages were preserved for generations.D. Many Indigenous children were forced to attend boarding schools that erased their cultures. Benjamin has $5000 in his bank account he spends $250 per month on car expenses using the money in his account Benjamin's friend Corrado has $2000 in his bank account he deposits $100 each month into his account for his college fund. *PLEASE REFER TO THE QUESTIONS IN THE PICTURE. THANK YOU!!!* Select the correct answer.Which of these sentences is correctly written?A. It's difficult to predict the impact of new policys and procedures.B. Its difficult to predict the impact of new policies and procedures.C. Its difficult predict the impact of new policys and procedures.D. Its difficult predict the impact: of new policies and procedures. How long will it take a 2190 W motor to lift a 1.47 x 104g box, 6.34 x 104mm vertically. Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years? Read the excerpt from On Womens Right to Vote.The preamble of the Federal Constitution says:We, the people of the United States, in order to form a more perfect union, establish justice, insure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America.It was we, the people; not we, the white male citizens; nor yet we, the male citizens; but we, the whole people, who formed the Union. And we formed it, not to give the blessings of liberty, but to secure them; not to the half of ourselves and the half of our posterity, but to the whole peoplewomen as well as men. And it is a downright mockery to talk to women of their enjoyment of the blessings of liberty while they are denied the use of the only means of securing them provided by this democratic-republican governmentthe ballot.Which key ideas can be found in this passage?Select all that apply.On Womens Right to Votea. The constitution lists which specific groups of people have the right to vote.b. The constitution states that the only people that are legal citizens are men.c. The constitution identifies that all the people, not just men, have rights.d. The constitution protects rights that people have naturally. SOMEONE PLZ HELPPPPP!!!!! In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.