Two high schools are going on a field trip. One rents 8 vans and 9 buses for 228 students. The other rents 4 vans and 5 buses for 124 students. How many people can you fit in a van? How many people can you fit in a bus?​

Answers

Answer 1

Answer:

No. pp you can fit in a van: 6,

No. pp you can fit in a bus: 20

Step-by-step explanation:

Let v = # of pp in vans, and let b = # of pp in buses:

8v + 9b = 228,

4v + 5b = 124

If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:

v = 228-9b/8,

Substitute v = 228-9b/8 into bottom eq:

[4 * 228-9b/8 + 5b = 125]

[228+b/2=124]

[228+b = 248]

[b = 20]

Now substitute 20 to find no. of pp in the vans:

v = 228 - 9(20)/8 = 228  - 180/8 = 48/8 = 6


Related Questions

The smith family went out for dinner the price of the meal was $39.85 the sales tax was 8.1% of the price of the meal the tip was 17% of the meal and the sales tax how much did the smith family pay for the meal including tax and tip PLEASE HELP ILL GIVE LOTS OF POINTS

Answers

9514 1404 393

Answer:

  $50.40

Step-by-step explanation:

Adding the tax multiplies the amount by 1+8.1% = 1.081.

Adding the tip multiplies the amount by 1+17% = 1.17.

Then the amount with tax and tip is ...

  $39.85 × 1.081 × 1.17 = $50.40

The Smith family paid $50.40 for the meal.

Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).

Answers

Answer:

y=-3x+6

Step-by-step explanation:

x-3y=5

y=1/3x-5/3

slope of perpendicular line is -3 (opposite reciprocals)

y=mx+b

x=0 and y=6

6=3x+b

6=3(0)+b

6=b

y=-3x+6

In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the number of books they read?

A. 5% decrease
B. 15% increase
C. 25% increase
D. 25% decrease​

Answers

Answer:

D. 25% decrease

Step-by-step explanation:

Since it's clear that they read less books to find how much it decreased we multiply 100 with 15 then divide it by 20

100 × 15 ÷ 20 = 75 this result shows a 25% decrease.

Todo Binomio es polinomio falso o verdadero? ​

Answers

Answer:

Todo los binomios son casos especiales de polinomios.

Step-by-step explanation:

Answer:

verdadero eso puse yo :D

Find the missing value to the nearest hundredth.
Cos = 5/36

Answers

Answer:

Step-by-step explanation:

"cos" by itself is meaningless. It needs an argument.

cos(x°) = 5/36

x° = arccos(5/36) ≅ 82.2°

i need your help for 10 points and maybe a crown

Answers

Answer:

288

Step-by-step explanation:

[tex]6 \times 8 \times \frac{1}{2} \times 2 + 6 \times 10 + 8 \times 10 + 10 \times 10 = 288[/tex]

Answer:

288 sq cm

Step-by-step explanation:

Hope this helps!!

Please mark brainliest.

if diameter of a circle is 28cm.find radius & circumference.​

Answers

Answer:

Radius = 14 cm, Circumference = 88 cm

Step-by-step explanation:

d = 28 cm

r = 1 / 2 * 28

 = 14 cm

Circumference = 2πr

                         = 2 * 22 / 7 *  14

                         = 2 * 22 * 2

                         = 88 cm

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

Diameter (d) = 28 cmRadius (R) = d /2 = 28 / 2 = 14 cmCircumference (C) = πd= 3.14 * 28= 87.92

[tex]hope \: it \: will \: help[/tex]

Sally makes $10 per hour and a $20 bonus.

Jerry makes $9 per hour and a $50 bonus.
Which set of equations describe Sally and Jerry's income?
Any help?

Answers

Sally: 10h + 20

Jerry 9h + 50

h = hours

Will mark BRAINlIEST!!!
What is 2/7+ (−4/7)

Answers

Answer:

- 2/7

Step-by-step explanation:

+ and - becomes -

2/7 - 4/7 =  - 2/7

PLEASE MARK BRAINLIEST!!! <3

Answer:

6/9 yeah that's it I looked It, up.

Step-by-step explanation:

can i please have help? :) match each function to the correct organic compound. PROTEINS a. used for energy b, used for tissue repair and growth c. used for storing and transmitting genetic d. used for long - term storage

Answers

Answer:

b

Step-by-step explanation:

They are used for tissue repair and growth

Please help geometry people.

Answers

Answer:

Since QPR is an isoscelese triangle, QP and PR are congruent.

Therefore PR = 8

My guess for ST is z=1. So (5z = 5) and( 2z = 2). Then add 3 to 2 and you get 5. So ST = 5

Step-by-step explanation:

Hope this helps!!!

Please mark brainliest.

PLEASE HURRY! I NEED HELP! THIS IS DUE TOMORROW! If you answer this I will give you brainliest!

Answers

Answer:

the answer is 3

Step-by-step explanation:

how i got this answer is........i did the round robin and i times 1 *5+4 and i got 9  so you will get 3/4 *9/5 and i got 27/9 and you will divided 9*3 and you will get 3 so that is the answer 3

i hope you did good on your test

I need help with all the questions you see

Answers

Answer:

1/ -6=12+1/3a

Rewrite the equation as 12+1/3a=−6.

12+1/3a= −6

Combine 1/3 and a.

12+a/3= −6

Move all terms not containing a to the right side of the equation.

a/3= −18

Multiply both sides of the equation by 3.

3⋅a/3=3⋅ −18

Simplify both sides of the equation.

a= −54

2/ -6 =12 -1/3a

Rewrite the equation as 12−13a=−6.

12−1/3a=−6

Combine a and /13.

12−a/3=−6

Move all terms not containing a to the right side of the equation.

−a/3=−18

Multiply both sides of the equation by −3.

−3⋅(−a/3)=−3 ⋅−18

Simplify both sides of the equation.

a=54

Step-by-step explanation:

9 A rectangle of perimeter 42 cm is
pcm long and q cm broad. If the
difference between the length and
breadth is 9 cm. find
pand q
the area of the rectangle

Answers

Answer:

The correct answer is = p = 15 and q = 6.

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 cm

p - q = 9 cm

length = p

width = q

we know:

Perimeter of rectangle= 2(l+w)

solution:

42 = 2(P+q)

21= p+q

Difference of p and q = 9 cm.

Then, P+q=21 .... 1

P-q=9 ....2

Adding both 1 and 2

2P = 30

P= 15cm and

q = 15-9

= 6cm

Can someone please help me solve these?

Answers

9514 1404 393

Answer:

  (c)  h(x) = (3x +4)(2x +1)

Step-by-step explanation:

The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.

The middle term (11x) is only created by the third choice:

  (3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)

  = 6x^2 +3x +8x +4

  = 6x^2 +11x +4 . . . . matches the given h(x)

First answer gets brainly!

Answers

Answer:total cost = $83.75

Step-by-step explanation:

Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates of quadrilateral A’B’C’D?


A. A (5,-5), B' (1.-5). C'(1.-2).
D'(5.-1)

B. A(-5, -5), B'(-5, -1) C'(-2,-1), D'(-1,-5)

C. A'(-5,5), B'(-1,5), C'(-1,2).
D'(-5,1)

D. A'(5, -5), B' (5. -1), C' (2-1),
D' (1.-5)

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. A (5,-5), B' (1.-5). C'(1.-2).

D'(5.-1)

Step-by-step explanation:

I got right

-2 +2 = -3(x-4)
what is x

Answers

Answer:

x = 4

Step-by-step explanation:

Mark brainliest

Ted is making chocolate chip pancakes for his whole family. He wants to make 20 pancakes using a 3-cup bag of chocolate chips. How many cups of chocolate chips will be in each pancake? Write your answer as a proper fraction or mixed number.

Answers

Answer:

3/20

Step-by-step explanation:

Given: Number of cups of pancakes to be made = 20

Number of  bag of chocolate chips available = 3

Therefore, cups of chocolate chips will be in each pancake= 3/20

[tex]\frac{3}{x+3} -\frac{4}{x-3}=\frac{5x}{x^{2} -9}[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{x+3}-\frac{4}{x-3}=\frac{3*(x-3)}{(x+3)(x-3)}-\frac{4(x+3)}{(x-3)(x+3)}\\\\=\frac{3*x-3*3}{(x+3)(x-3)}-\frac{4*x+4*3}{(x+3)(x-3)}\\\\=\frac{3x-9}{x^{2}-3^{2}}-\frac{4x+12}{x^{2}-3^{2}}\\\\=\frac{3x - 9 -(4x + 12)}{x^{2}-3^{2}}\\\\=\frac{3x-9-4x-12}{x^{2}-9}\\\\=\frac{-x-21}{x^{2}-9}\\\\[/tex]

[tex]\frac{3}{x+3}-\frac{4}{x-3}=\frac{5x}{x^{2}-9}\\\\\frac{-x-21}{x^{2}-9}=\frac{5x}{x^{2}-9}\\\\-x-21=\frac{5x}{(x^{2}-9)}*(x^{2}-9)\\[/tex]

-x - 21 = 5x

Add 'x' to both sides

-x -21 +x = 5x + x

        -21 = 6x

6x = -21

x = -21/6

   = -7/2

x = -3.5

I WILL GIVE THE BRAIN LIST

Answers

the answer is G!! hope this helps!

Answer:

its g ;)

Step-by-step explanation:

trust me and please mark me brainliest the reason i know it is because well, i can barley explain it sorry have a nice day and hope this helps and please mark me brainliest thank you very much!

HELP ME PLZZZZZZZZZZ

Answers

Answer:

In both cases, we have similar figures.

This means that the shape of the figures is the same, but the size is different:

PQST is similar to STNR and to NRPQ

VUYZ is similar to YZWX and to VUWX

this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.

With this in mind, we can solve the problem:

18)

ST = 7.5

NR = 5.5

Then the quotient ST/NR is:

ST/NR = 7.5/5.5

And, as we said above:

PQ/ST = ST/NR

PQ/7.5 = 7.5/5.5

PQ = (7.5/5.5)*7.5 = 10.23

19) Here we should have:

YZ/VU = WX/YZ

Then:

22.9/35 = WX/22.9

(22.9/35)*22.9 = WX = 14.98

if x=3 what is the value of 3x

Answers

The value of 3x is 9

Answer:

The answer is 9.

Step-by-step explanation:

If x equals 3 and you have 3x its basically just 3 times 3 so you get 9 as the result.

I hope this helps you :D

Solve 4[10x + 5) = 260

Answers

Answer:

sry dont know

Step-by-step explanation:

Answe

its x=6

Step-by-step explanation:

Find the value of x in the triangle shown below

Answers

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem to solve for z. a^2 + b^2 = c^2, which a and b being the side lengths

9^2 + 12^2 = 81+ 144

81+144= [tex]225^{2}[/tex]

[tex]\sqrt{225}[/tex] = 15

z= 15

Answer:

C) x=15

Step-by-step explanation:

9^2+12^2=225

x=sq rt 225=15

2,6,18,54 what is the 10th term of the sequence​

Answers

Answer:

78

Step-by-step explanation:

I'm really good at these

Answer:

Step-by-step explanation:

This is a geometric sequence with common ratio 3.

10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366

The candy of a lolipop is in the shape of a sphere with a diameter of 4 cm. The
cylindrical stick inside the candy is the same height as the sphere and has a radius of
0.5 cm. What is the composite volume of the candy? Round to the nearest tenth, if
necessary.

Answers

So so so so 0.5cm? Like

Please help marking brainiest

Answers

Answer:

can you blow the image up or tell me what it says

Step-by-step explanation:

A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
У.
B (27, 30)
Point A has coordinates (3, 2)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.

Answers

Answer:

The coordinates of C are (15,16)

Step-by-step explanation:

As we can see, point C lies half the distance of AB

So we can use the midpoint formula to get the coordinates of C

we have this as:

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,2)

(x2,y2) = (27,30)

Thus, we have

(x,y) = (3 + 27)/2, (30 + 2)/2

(x,y) = 30/2 , 32/2

(x,y) = (15,16)

Which of the following are not polynomials?

Answers

Letter b and letter c
Other Questions
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