The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 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. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10

Answers

Answer 1

Answer: Van: 10, Bus: 46

Step-by-step explanation:

Let the number of students in each van be represented by v.

Let the number of students in each bus be represented by b.

The question given can be formed into an equation as:

3v + 13b = 628 ...... i

9v + 2b = 182 ......... ii

Multply equation i by 9

Multiply equation ii by 3

27v + 117b = 5652 ........ iii

27v + 6b = 546 ....... iv

Subtract iv from iii

111b = 5106

b = 5106/111

b = 46

Bus = 46

Recall that 9v + 2b = 182

9v + 2(46) = 182

9v + 92 = 182

9v = 182 - 92

9v = 90

v = 90/9

v = 10

Van = 10


Related Questions

The percent of change in the test scores was 12%. If the amount of change was 6 points, what was the original number of points?

Answers

Answer:

Step-by-step explanation:

100(a+6-a)/a=12

100(6)/a=12

600=12a

a=50

−14 − 8x = −2(−3x + 7)

Answers

Answer:

-8x=6x+14-14

-8x-6x=0

-14x=0

X=0/14

X=0

?????

Answer:

X= 0 or Zero

Step-by-step explanation:

Steps To solve this problem... (8 steps)

1) Rearrange terms:

−14 − 8x = −2(−3x + 7)

−8x − 14 = −2(−3x + 7)

2) Distribute:

−8x − 14 = −2−(3x + 7)

−8x − 14 = 6x - 14

3) Add  14 to both sides of the equation:

−8x − 14 = 6x - 14

−8x − 14 + 14 = 6x - 14 + 14

4) Simplify (Add the numbers):

-8x = 6x

5) Subtract  6x from both sides of the equation:

-8x = 6x

-8x - 6x = 6x - 6x

6) Simplify (Combine like terms):

-14x = 0

7) Divide both sides of the equation by the same term:

-14x = 0

-14x/-14 = 0/-14

8) Simplify  (Cancel terms that are in both the numerator and denominator):

X= 0/-14

Hope this Helped! :)

FIND THE AREA

WORK PLEASEEE and thank you

Answers

Answer:

Some ways on how to solve the questions:

Use formulas as given by your teacher.

Application of the Pythagorean Theorem would be useful for 5 and 6.

For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)

For 11 and 12 draw it out.

Which value is in the domain of f(x)?
(+5
2x + 5, -6 < X 0
f(x) =
-2x + 3,0 < x < 4
) -7
0 -6
4
05

Answers

Answer:

it's 4 on edge

Step-by-step explanation:

I got it right

The value is in the domain of f(x) is 4, the correct option is C.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

f(x) =-2x + 3,0 < x < 4

Now,

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined by two different expressions depending on the value of x. The first expression, 2x + 5, applies when -6 < x < 0. The second expression, -2x + 3, applies when 0 < x < 4. Therefore, the domain of f(x) is the union of these two intervals:

Domain of f(x) = (-6, 0) U (0, 4)

Therefore, by the domain the answer will be 4.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ7

Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),

Answers

Answer:

10

Step-by-step explanation:

Solve the equation. 8w = 48​

Answers

Answer:

8w=48

This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.

Answer:

w = 6

Step-by-step explanation:

Solve

8w = 48

8w/8 = 48/8

= w = 6

3x - 5 = -3 is the answer positive or negative

Answers

Answer:

positive

Step-by-step explanation:

if you time the three by a postive then times that by a negetive you get a negitive if you time by two negitives you get postive

In the expression 3x - 5 = - 3 the value of x is positive 2/3.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 3x - 5 = - 3.

3x = - 3 + 5.

3x = 2.

x = 2/3 so x is positive.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

a=10t+0 find the y intercept

Answers

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

Use the equation below to find the y, M=11, x=2 and B=5

Answers

Answer:

The length and breadth of a rectangular

field are equal to 600 m and 400 m

respectively. Find the cost of the grass to be

planted in it at the rate of ₹ 2.50 per m2

Huilan is 13 years younger than Thomas. The sum of their age is 41. What is Thomas's age?

Answers

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Let's set Huilan's age to h and Thomas's age to t.

Since Huilan is 13 years younger than Thomas, we can write:

h = t - 13

The sum of both their ages is 41, so let's combine the variables h and t together.

h + t = 41

We said that h = t - 13, so substitute this value into the equation.

(t - 13) + t = 41

Combine like terms.

2t - 13 = 41

Add 13 to both sides of the equation.

2t = 54

Divide both sides of the equation by 2.

t = 27

Thomas's age is 27 years old.

Thank you L for helping me with this question :)

Can anyone answer 20-24

Answers

mmm no but try the slader app! XD

There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?

Answers

Answer:

Step-by-step explanation:

5 inches wide, and 2 inches thick. if you glue them together(stacked) what is ... If you glue the largest area faces together you will get the smallest overall ... The total surface area of one of the blocks is 2 times 250 square inches plus 2 times ... 720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160.

g(-4) and g(4)=
Using the graph

Answers

Answer:

g(-4) = 1  g(5) = -3

Step-by-step explanation:

Step 1: Recognize this is in function notation

In funcion notation what is in the brackets are the x coordinates of the point

Step 2: Solve

We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4.  We see that at x = -4 y is equal to 1 so g(-4) is equal to 1

Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3

How many books can be read in twenty-four days if sixteen books can be read
in seventy-two days at the same rate?

Answers

Answer:

for step of kepp of yours alive

I believe 5.333 repeating.

24*3=72
So I believe all you do is divide 16 by 3. I may be wrong though. I’m sorry if this didn’t help.

Work out, giving your answer in its simplest form:
4/7 divided by 2 1/3

Answers

Answer:

12/49  

Step-by-step explanation:

First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3

when doing division of fraction you have to remember this, KFG

KFG: Keep Flip Change

you keep the first number or fraction, which is 4/7

then you flip the sign, so you change division in to multiplication

after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7

Now the equation is

4/7 times 3/7, which is 12/49  

Triangles are similar Find the value of x.
Please help Thank you in advanced ​

Answers

Answer:

x=36

Step-by-step explanation:

14/42=12/x

14x=12(42)

14x=504

x=36

-6x-7-4x-2 How can I solve this?

Answers

Use the distributive property method

Use PEMDAS

Parentheses first

Exponents next

Multiplication then

Division in the same step

Addition then

Subtraction

The correct answer is 10x-9

2horas 3 minutos 47 s as​

Answers

Answer: I dont understand.

Step-by-step explanation:

a(b - 4) + c(b - 4)
can someone help me please!!!​

Answers

Answer:

(b−4)(a+c)

Step-by-step explanation:

Answer:

ab-4a+cb-4c

Step-by-step explanation:

a(b-4)+c(b-4)

ab-4a+cb-4c

please help asap!!!!

Answers

Answer:

The area is 60. Thats all I know TwT

Step-by-step explanation:

40 kişinin katıldığı bir davete 5 evli çift daha
katılırsa, davete katılan erkeklerin sayısı, ka-
dınların sayısının 2 katından 13 eksik oluyor.
Buna göre, son durumda davete kaç erkek-
katılmıştır?
a) 30 D) 29 C) 26
D) 24​

Answers

sen türksün be ne işin var senin burada

A rectangular lettuce patch, 560 square feet in area, is to be fenced off against rabbits. Find the least amount of fencing required if one side of the land is already protected by a barn. What are the dimensions?

Answers

Oh yeah sweetie no lol just called and him he told him to tell me that you

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 560 square feet, hence:

Area = length * width

560 = xy

y = 560/x

One side of the land is already protected by a barn, hence:

Perimeter (P) = x + x + y = 2x + y

P = 2x + y

P = 2x + 560/x

For least amount of fencing, dP/dx = 0, hence:

dP/dx = 2 - 560/x²

0 = 2 - 560/x²

560/x² = 2

2x² = 560

x = 16.7

y = 560/16.7 = 33.5 ft

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

Find out more at: https://brainly.com/question/10415523

3.) 4(m + 5) + 42, (m = -2)​

Answers

The answer would be 54 since m=-2

Step one: 4(-2+5)+42
Step two: (-8+20)+42=54

Answer:

54

Step-by-step explanation:

The variable m equals -2, so what you would do is plug it into the equation.

4(-2+5)+42

Next you would distribute the 4 into -2 & 5.

(-8+20) + 42

Add what's in the parenthesis.

12 + 42

Once you add that you will be left with your answer which is 54.

Hope this helped!

Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!

Answers

Answer:

did you ever figure out what the answer was it was because  working on this and don't know what to do

Step-by-step explanation:

Answer:

Rational Numbers: √400 | -5/250 | 5.012121212...

Irrational Numbers: √1000 | ^3√30 | 0.01562138411...

8. It takes Aldrin 30 minutes to finish reading the 10 pages of a book. How long does it take for
him to finish reading the 15 pages?​

Answers

Answer:

it took him 15 more minutes it would be 45 minutes in all

Step-by-step explanation:

I hope I helped!!

Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.

Answers

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

Parallel lines s and t are cut by a transversal, r, as shown. Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank. What is the value of x to the nearest whole number? 18 20 86 94

Answers

Answer:

18

Step-by-step explanation:

From the above question,

We have the Algebraic expression

(5x - 4)° + 94° = 180°

5x - 4° + 94° = 180°

5x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18

Answer:

18

Step-by-step explanation:

what's
[tex] {3}^{4} [/tex]

Answers

QUESTION:

What is the value of 3⁴

SOLUTION:

▶️ 3⁴ = 3×3×3×3

▶️ 3⁴ = 81

ANSWER:

The value of 3⁴ is 81..

Which of the following pairs show(s) two congruent triangles?

Answers

Answer:

B only

Step-by-step explanation:

In A and in C, only the angles of one triangle are congruent to the corresponding angles of the other triangle. That proves similar triangles but not necessarily congruent triangles.

Definition of congruent triangles:

Two triangle are congruent if all angles of one triangle are congruent to all corresponding angles of the other triangle and all sides of one triangle are congruent to all corresponding sides of the other triangle.

That happens only with the triangles in B.

Answer: B only

Out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

What are congruent triangles?

Two triangles are said to be congruent if they are exactly the same i.e. corresponding sides, as well as corresponding angles, are equal.

A)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

B)Triangles shown are congruent because corresponding sides, as well as corresponding angles, are equal.

C)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

Hence, out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

To get more about congruency visit:

https://brainly.com/question/1675117

Find the area of the shaded region.

Answers

Answer:

80

Step-by-step explanation:

multiply 10 by 8

  (If it is not right... i apoligize but i don't see a shaded region)

Answer:

80 in

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in

Hope this Helped

Other Questions
MR Talents ghost summery Since Robert Scott and his crew did not survive their trek to the South Pole, what unusual purpose(s) were served by the captains log?A. It showed how the men behaved during their final days.B. It explained to Scotts widow what happened to him.C. It helped other explorers analyze the fate of the men.D. It provided a detailed map of his route to the South Pole. HELP I NEED HELP ASAP please tell me both question answer -6/7 times (-3/8 does anyone know the answer? HELP ME IF YOU DO WILL GIVE YOU 5 STARS< A THANKS< BRAINLIEST :) PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit achild's sweater as it does to knit one hat.a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solvethe problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.It will take yards of yarn to knit a child's sweater.b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?It will take yards of yarn to knit a hat, a scarf, and a child's sweater Which constitutional power was inspired by this passage? who are called tribes ? who were trader nomads x^2 + 5x + 13 pls help simplify the following without a calculator leave your answer with positive exponents [tex](0.008) \frac{2}{3} [/tex] describe nucleus of atom CauseUnemployment and povertyCause:EffectFarm prices sank what is the inference of Matthew makes a snowball 2. Show the relation between man and environment in five points. John drew a scale drawing of a house and its lot. The house's driveway is 4 inches wide in thedrawing. The actual driveway is 20 feet wide. What scale did John use? Elaborar un resumen de lo que acostumbramoas a comer en las fiestas familiares y celebraiones comunitarias del pas How do you solve for x and y? One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram -[52-[36-58(24x82) x36] +(-42)]=