10) Yellowstone National Park 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 6 vans and 8 buses with 420 students. High School B rented and filled
12 vans and 11 buses with 600 students. Every van had the same number of students in it as did
the buses. Find the number of students in each van and in each bus.

Answers

Answer 1

Answer:

b = 48

v = 6

Step-by-step explanation:

Equations:

6v + 8b = 420students

12v + 11b = 600students

----------------------------

Modify for elimination::

12v + 16b = 840

12v + 111b = 600

----------------

 

Subtract and solve for "b"::

5b = 240

b = 48 (# of students in each bus)

----

Solve for "v"::

6v + 8b = 420

6v + 8*48 = 420

6v = 420-384

6v=36

v = 6 (# of students in each van)

===============

For Check

12(6)+11(48)=600

72+528=600

600=600


Related Questions

Hey! please help! i don't understand these type of questions! Please answer the question and explain how you got the answer! Thanks!​

Answers

i’m pretty sure you use the formula to find the area for a triangle which is 1/2 over b?
The person above me I exactly correct, if you going to give brainalist give them it

Two methods, A and B, are available for teaching a certain industrial skill. The failure rate is 30% for method A and 10% for method B. Method B is more expensive, however, and hence is used only 20% of the time. (Method A is used the other 80% of the time.) A worker is taught the skill by one of the two methods, but he fails to learn it correctly. What is the probability that he was taught by using method A

Answers

Answer:

Probability that he was taught by using method A is 14/17

Step-by-step explanation:

Following probabilities are given -  

P (F|A) = 0.2

P (F|B) = 0.1

P (A) = 0.7

P (B) = 0.3

Now, P(A|F) = { P (F|A)* P(A)}/{{ P (F|A)* P(A)} + P (F|B)* P(B)}}

P(A|F) = (0.2*0.7)/( (0.2*0.7)+(0.1*0.3)) = 14/17

a = 10, b = 24, c = _____

Answers

Answer:

c=26

Step-by-step explanation:

By using pythagoram thoerem

c^2=a^2+b^2

c^2=(10)^2+(24)^2

c^2=100+576

c^2=676

c=sqrt(676)

c=26

c=26

I NEED HELP WITH THIS QUESTION!!!!

Answers

9514 1404 393

Answer:

  see attached

  (x, y) = (8, 4)

Step-by-step explanation:

The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.

  x + y = 12 . . . . . total number of shots

  x + 2y = 16 . . . . total number of points

__

These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.

The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.

the number of free throws Angel made was 8the number of 2-point shots Angel made was 4

Answer:

the answer is (x, y) = (8, 4)

Please show steps to this problem

Answers

Answer:

Answer is D. 1572 square units.

Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equation best represents the cost, c, of a

Answers

Answer: $7.95+$1t ?

Step-by-step explanation:

Answer:

I assume the answer would be the burger plus toppings is equal to cost so

7.95+t*1.00=c

Answer the question

Answers

Answer:

D

Step-by-step explanation:

demos

Can someone help me? Thank you :)

Answers

Answer:

um i cant see the question

Step-by-step explanation:

In ΔABC, the measure of ∠C=90°, the measure of ∠A=63°, and AB = 35 feet. Find the length of CA to the nearest tenth of a foot.

Answers

Answer:

x ≈ 15.9 ft

Step-by-step explanation:

Reference angle = <A = 63°

Hypotenuse = AB = 35

Adjacent = CA = x

Apply trigonometric function CAH:

Cos A = Adj/Hyp

Plug in the values

Cos 63 = x/35

35 × cos 63 = x

15.8896675 = x

x ≈ 15.9 ft

Please help I’ll mark you as brainliest if correct

Answers

Answer:

Option 4 is correct

x° + 126° = 180° and value of x is 54°

Step-by-step explanation:

Here, In a given Triangle two sides are equal i.e., Isosceles Triangle.

We know that, in a triangle the sum of all angles Is 180°.

If two sides are equal then also two angles are also equal of that sides.

Now,

63° + 63° + x° = 180°

x° + 126° = 180°

Now, To find the value of x

x° + 126° = 180°

x° = 180° - 126°

x = 54°

Thus, The value of x is 54°

FOR VERIFICATION ONLY:-

x° + 126° = 180°

54° + 126° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

the value x is 54

I am sure

True or false. If false write the correct statement

1. The depreciation takes place by a specific rate for a specific time​

Answers

it is very much true

Please help quickly what's the answer Ill give u brainlest
Richard deposits $193.67 every month into his mortgage. At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?

Answers

Answer:

$50,460.87 of interest has been accrued.

Step-by-step explanation:

Richard deposits $193.67 every month into his mortgage.

Each year as 12 months. So after 30 years he will have deposited:

$193.67*12*30 = $69,721.2

At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?

Interest is total subtracted by deposits. So

120,182.07 - 69,721.2 = $50,460.87

$50,460.87 of interest has been accrued.

Consider the equation x2 = 36. Which of the statements below are true? Select all that apply.
x= v6 is a solution.
x = 6 is a solution.
x = -6 is a solution.
x = -6 is a solution.
There is no solution.
The solution is all real numbers.​

Answers

+6, -6

Step-by-step explanation:

if the equation is x^2 = 36 then the solving for x we get the square root of 36 which is positive or negative 6

The garden staff can mow 45 lawns in 10 hours at this rate how many lawns can they mow in 6 hours

Answers

Answer:

b

Step-by-step explanation:

Answer:

27 lawns.

Step-by-step explanation:

45÷10

4.5

So every hour they mow 4.5 lawns.

Now do 4.5 • 6

So 27 lawns

Hope this helps

the probability of it raining on a given day is 3/8
what is the probability of its not raining

Answers

5/8

Step-by-step explanation:

Probability of raining = 3/8

Total days= 8/8

Then probability of not raining= 8/8 - 3/8

= 5/8

Answer:

5/8.

Step-by-step explanation:

These probabilities add up to 1 so

Probability(Not Raining)

= 1 - 3/8

= 8/8- 3/8

= 5/8.

Convert the complex number from polar to rectangular form
z=cis(7pi/6)

Answers

3809 3.14 x
135 26x

Simplify this expression: 4y(3y)

Answers

Answer:

12y^2 BC 4*3= 12 and then all you have to do is add the variable and square it.

Step-by-step explanation:

Hope you have a good day

Answer:

12y²

a

n

s

w

e

r

proved

l

h

s=

r

h

s

HELP PLS!! BRAINLIEST

Answers

Answer:

50 degrees

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

angle l is 50 degrees i belive

Step-by-step explanation:

A school has a population of 2500 students. The number of students is increasing at continuous growth rate of 4.5% each year. Which of the following
formulas models the population of this school?
A. A = 2500e ^-0.045t
B. A = 2500e^4.5t
C. A = 2500e^0.045t
D. A = 25000e^450

Answers

Answer:

C

Step-by-step explanation:

please help me i really need help please please please

Answers

Answer: ≈117.15375m (if you're expected to round make sure you do so!)

Explanation: Because this a right triangle, you can apply the pythagorean theorem which is a^2 + b^2 = c^2. a and b can be any side except the hypotenuse (the one across from the 90° angle). You take 90^2 + 75^2 = c^2. This equals 13,725 after that you can take the square root of it and you're left with ≈ 117.15375m

Hope this helped! :)

The double number line shows how far a hummingbird can fly in 1 second.

Answers

Answer:

1st box-1

2nd box-3

3rd box-130

Step-by-step explanation:

On the number line, 13 metres is in line with 1 second. So, that means the hummingbird flies 13m/s.

Then to work out the second box, for how much time it takes to travel 39 metres, you would have to do 39÷13=3. This means that in 3 seconds, the hummingbird flies 39 metres in 3 seconds.

To work out how many metres the hummingbird flies in 10 seconds, you would have to do 13×10=130. The reason why you times 13 by 10 is because the hummingbird does 13 metres in 1 second, but we want 10 seconds, so we times it.

Hope this helps :)

Answer:

1st box-1

2nd box-3

3rd box-130

Step-by-step explanation:

the other person gets the credit he did it before me

Enter a phrase for the expression

Answers

Answer:

The quotient of x and 11.

Step-by-step explanation:

Given:

[tex] \frac{x}{11} [/tex]

Required:

Write the expression in words

Solution:

In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).

So, we are dividing x into 8 parts.

A quotient is the result you get when you divide the dividend by the divisor.

✅In describing the expression in words, we would use the following phrase:

The quotient of x and 11.

The dividend is mentioned first before the dividend.

. Which equation represents the height of the purple part of the wall? *


A. 3/4 x 8 1/2 = 6 3/8 ft
B. 3/4 x 8 1/2 = 6 1/2 ft
C. 3/4 x 10 1/3 = 6 5/6 ft
D. 3/4 x/ 10 1/3 = 7 3/4 ft

Answers

Answer:

a

Step-by-step explanation:

cause it is eaqul and it is rihgt

A i think maybe

why?
because yesp

Use the given information to find the new price. Round to the nearest cent.

Original Price: $28
Discount Rate: 28%

Answers

Answer:

Step-by-step explanation:

7.84 = 8.

Answer:

Original Price: $28

Discount Rate: 28%

new price=?

we have

discount:

28% of 0riginal Price=28/100×$28=$7.84

now

new Price=original -discount price=$28-7.84=$20.16 is your answer

Use f(x)=-2x+5 to find x when f(x)=11

Answers

When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.

Then you subtract 5 on both sides because of the opposite of addition is subtraction.

6=-2x

now divide on both sides

x=-3

solve for the equation
5= g/8
g=? g equals

Answers

STEP BY STEP BREAK DOWN.

rewrite the equation to g/8=5

multiply both sides by 8

cancel the common factors (cancel both 8s)

rewrite g=8 x 5

solve 8 x 5 (equals 40)

g=40

roads diverge at an angle of 70 degree. aurea walks on the first road at 4kph while marcelino on the other road at 5 kph. both start walking at the diversion point. how far are they after 3 hours?

Answers

Answer:

ggyfuae5iyrsi6rs6esyleslysyrslur

help?? i will mark the correct answer brainlest!!

Answers

Answer: 13 is the first one and the second one is 15

Step-by-step explanation:

Mrs. Harrison records the number of vacation days employees in her department have used this year. The histogram below shows the recorded data.

Which of the following is the best measure of center for the data?

Answers

I think it’s the mean

Two forces of 401 newtons and 477 newtons act on a point. The resultant force is 828 newtons. Find the
angle between the two forces.

The angle between the two forces is ____°

(Round to the nearest integer as needed.)

Answers

Answer:

The answer is "[tex]39.01^{\circ}[/tex]"

Step-by-step explanation:

[tex]\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}[/tex]

[tex]828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\[/tex]

square the above equation:

[tex](828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\[/tex]

[tex]685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}[/tex]

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