The senior classes at High School A and High School B planned separate trips to the local amusement park. The senior class at High School A rented and filled 13 vans and 5 buses with 370 students. High School B rented and filled 12 vans and 10 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.


please show you work

Answers

Answer 1

Answer:

10 students/van

48 students/bus

Step-by-step explanation:

(a) 13v+5b = 370

(b) 12v+10b = 600

(a) - (b)

v -5b = -230

v = 5b-230

12(5b-230) + 10b = 600

60b+10b -2760=600

70b=3360

7b=336

b=48

v = 5(48) - 230 = 10

v = 10

Let's check

12(10) +10(48) = 600


Related Questions

What percent of the whole number frm 1 to 50 are multiple of 3.​

Answers

Answer:

32%

Step-by-step explanation:

List of multiples of 3 in 1 to 50:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

Total number: 16

16/50

=32%

PLS GIVE BRAINLIEST

3 and 11
Find the midpoint

Answers

Answer:

7

Step-by-step explanation:

hi , how to do 14? :)

Answers

Answer:

l think because the base of ax and a² is same we can write x=2..and the same thing is applied in by and b⁵.

Find the value of x. The diagram is not to scale.

a. x = 40
b. x = 23
c.x= 13
d. none of these

Answers

Answer:

d. none of these

Step-by-step explanation:

I need help with this question. I want this to be simplifed

Answers

the perimeter simplified is 3.75x + -7

Prove that
sec A cosec A - cotA= tan A.
Can someone’s please help me with this one.. I’ll give brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

secx = [tex]\frac{1}{cosx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]

cotx = [tex]\frac{cosx}{sinx}[/tex] , tanx = [tex]\frac{sinx}{cosx}[/tex]

Consider the left side

secA cosecA - cotA

= [tex]\frac{1}{cosA}[/tex] × [tex]\frac{1}{sinA}[/tex] - [tex]\frac{cosA}{sinA}[/tex]

= [tex]\frac{1}{cosAsinA}[/tex] - [tex]\frac{cosA}{sinA}[/tex]

= [tex]\frac{1-cos^2A}{cosAsinA}[/tex]

= [tex]\frac{sin^2A}{cosAsinA}[/tex] ( cancel sinA on numerator/ denominator )

= [tex]\frac{sinA}{cosA}[/tex]

= tanA = right side ⇒ proven


Sonia spent 1/4 of her gym practice time on the trampoline. Then she spent 1/2 of the remaining
time on the balance beam. What fraction of her gym practice time did Sonia spend on the balance beam?

Answers

Answer:

Sonia spent 1/4 of her gym practice time on the trampoline. Then she spent 1/2 of the remaining time on the balance beam

Step-by-step explanation:

Hope this helped

Solve the equation 8C - 4 = 20

Answers

Answer: C=3

Step-by-step explanation:

8C-4=20

  +4     +4

8C=24

/8     /8

C=3

Let h(x)=2x−5 and g(x)=−3x+1.Find h(x)+g(x).? help please

Answers

This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).

So far that’s (2x-5) + g(x)

Then,

Do the same with equation given for g(x) which is now,

(2x-5) + (3x+1)

Then solve,

2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4

Therefore the answer is 5x - 4.

15+10f=-12 does someone knows this one?

Answers

Answer:

f = - 2.7

Step-by-step explanation:

15 + 10f = -12

10f = -12 - 15

f = -27/10

f = - 2.7

(-2 ab²) (-3 a⁴bc) (-c)

Answers

Answer:

−6a^5b^3c^2

Hope This Helps! If you need a step-by-step Let Me Know!

14
A canteen spends money on food and drink in the ratio of 29:3
In total, they spend £6496.
Find how much money they spend on drink.​

Answers

Answer:

Money spend on drink  = £ 609

Step-by-step explanation:

Food : drink = 29 : 3

Money spend on food = 29x

Money spend on drink = 3x

Total money spend = 29x + 3x = 32x

32x = £6496

   x = 6496/32

  x = £ 203

Money spend on drink = 3x = 3 * 203 = £ 609

Answer:

who knows the answer if u know the answer pls tell

I need help?!?!?!?!?!?!?!!?

Answers

A) -3, -6 B) 3, 3 C) 2, -6

Answer:

A(3,-6)

B(-3,3)

C(2,-6)

Step-by-step explanation:

Since it is moved down two units, only y would be affected.

hi can anyone help me pls, thx. ​

Answers

Answer:

24,28,32,36,40,.....

Step-by-step explanation:

It’s multiples of 4

Answer:

[tex]a_{n}[/tex] = 4n + 4

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence.

d = 12 - 8 = 16 - 12 = 20 - 16 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 4 , then

[tex]a_{n}[/tex] = 8 + 4(n - 1) = 8 + 4n - 4 = 4n + 4

help me 1-6 with an explanation for a brainliest.

Answers

Answer:

Step-by-step explanation:

1. 5

2.  -9

3.  -4

4. 4  > .25

5.  0.142 <  7

6.  -8  = -8

a triangle is inscribed inside another triangle . the base of the interior triangle is 9cm. what is the area of the shaded region?
a. 54cm
b. 81cm
c. 108cm
d. 162cm

Answers

The answer for this question is D
The answer is D. 162

A bus stops at the station near Kylie's house every 1 hours . Which expression could be used to find the number of times the bus stops at the station in 24 hours?​

Answers

Answer:

H

Step-by-step explanation:

24 x 1 1/4

X=8,y = 10 find y when x = 68

Answers

70? I think that’s it

Answer:

85

Step-by-step explanation:

x:y

8:10

68:y

divide 68 by 8 u get 8.5 and the times it by 10

so y equals 85

The difference between the C.I. and S.I. calculated annually on ₹ 625 at 10 % per
annum for 1 year is:

Answers

Answer:

R0

Step-by-step explanation:

Given the following data;

Principal, P = R625

Time, t = 1 year

Rate, r = 10% = 10/100 = 0.1

To find compound interest;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Substituting into the equation, we have;

[tex] A = 625(1 + \frac{10}{100})^{1}[/tex]

[tex] A = 625(1 + 0.1)[/tex]

[tex] A = 625(1.1)[/tex]

A = 687.5

Therefore, C.I = A - P

C.I = 687.5 - 625

C.I = 62.5

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

[tex] S.I = \frac {625 *10*1}{100} [/tex]

[tex] S.I = \frac {6250}{100} [/tex]

S.I = 62.5

Now to find the difference;

Difference = C.I - S.I

Difference = 62.5 - 62.5

Difference = R0

please need help thank you so much.​

Answers

Answer:

I am not certain but I think it's y=2x+4 I don't know tho but I think that's it

. 6.8 • 102
Help me c:

Answers

Answer:693.6

Step-by-step explanation:

102

6.8

8• 2 16

Find each percent decrease. Round to the nearest percent. From 126 ounces to 48 ounces

Answers

I'm stuck on the same thing soo this is kinda weird that I'm typing  

Step-by-step explanation:

sorry for not answering the answer ;)

Answer:

There is 61.9% decrease in the value from 126 ounces to 48 ounces.

What is the solution to the system of equations below Y = 1/2 X +6 and Y = -3/4 X -4

Answers

Answer:

x = -8, y = 2, or (-8,2)

Step-by-step explanation:

Hope it helps

F(x)=x^2-x^3 find the value of f(-2)

Answers

The Correct answer is 3

Explanation:

Using the defined function, f(a) will produce the same result when substituted for x:

F(x)=x^2-x^3

Setting this equal to 4, you can solve for a:

a2 – 5 = 4

a2 = 9

a = –3 or 3

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Answers

Answer:

5.83

Step-by-step explanation:

70 / 12

Answer:

6.3

Step-by-step explanation:

You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer

(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)

hey hey:) i need You're help;)​

Answers

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

Step-by-step explanation:

800 is 100 times as much as

Answers

800/100 = 8
800 is 100 times as much as 8

Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

Answers

This is your perfect answer

simplefy the equation

Answers

Answer:

i wish i could simply life.

Step-by-step explanation:

7.45 x 103 = ___

7.45
74.5
7,450
74,500

Answers

Answer: 745

Step-by-step explanation:

[tex]7.45 \times 10^{3}=7.45(1000)=\boxed{745}[/tex]

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