A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

Answers

Answer 1

Answer:

3 cars and 4 buses

Step-by-step explanation:

Let x = cars

Let y = buses

7 vehicles

x + y = 7

cars hold 5 students and each bus holds 45 students

5x + 45y = 195

Solve using subbstitution

x + y = 7

x = 7 - y

5x + 45y = 195

5(7 - y) + 45y = 195

35 - 5y + 45y = 195

35 + 40y = 195

-35             -35

40y = 160

y = 4 (buses)

x + y = 7

x + 4 = 7

x = 3 (cars)


Related Questions


Find the equation of the line which passes through (4, -1) and (2, -1).

Answers

Answer:

y = -1

Step-by-step explanation:

A. ASA Postulate
B. HL Theorem
C.AAS Theorem
D. SAS Postulate

Answers

Answer:

your answer will be B. HL Theorem

Step-by-step explanation:

hope it helps you...

WILL MARK BRAINLIEST IF GOTTEN RIGHT! DONT ANSWER IF U DONT KNOW!

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:


What should be added to
4x+5y to get 7x-2y.

Answers

Step-by-step explanation:

7x-2y-4x+5y(This is what you should do)

Rearrange the like terms:7x-4x-2y+5yFinal answer:-3x+3yPLEASE FOLLOW ME AND MARK AS BRAINILIEST IF YOU THINK IT'S WORTH IT :)

Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.

Answers

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the nearest tenth of a meter, corresponding to the 43.4-m base.

Answers

Answer:

3.5m

Step-by-step explanation:

A parallelogram has sides 17.3 m and 43.4 m long.

The height corresponding to the 17.3-m base is 8.7 m.

The area of a parallelogram = base × height

= 8.7m × 17.3m

= 150.51m²

Both parallelograms have the same area

Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:

= 150.51m²/43.4m

= 3.4679723502m

Approximately = 3.5m

Determine a pair of angles (one positive and one negative) in degree measure coterminal to the angle 117°.​

Answers

Answer:

Option B.

Step-by-step explanation:

When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:

B = A + n*360°

Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).

Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.

Then we can do:

for the positive one, use n = 1.

B = 117° + 1*360° = 477°

For the negative one, use n = -1

B = 117° - 1*360° = -243°

Then the two angles are 477° and -243°

The correct option is B.

A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ cm.

What is the area of the hexagonal floor tile?

Enter your answer as a decimal to the nearest hundredth.
area = cm2

Answers

Answer:

41.57 cm²

Step-by-step explanation:

to understand thisyou need to know about:geometryPEMDAStips and formulas:area of a regular hexagon when apothem is given:½×P×Alet's solve:

parimeter of a regular hexagon:6a

therefore

=½×[4×6]×2√3 cm²

simplify parentheses:

=½×24×2√3 cm²

simplify fraction:

=24×√3 cm²

=41.57cm²

Answer:

41.57

Step-by-step explanation:

took the test

HELP HAVING A BAD DAY


Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?

I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER

Answers

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

What is Expression?

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)

Answers

Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

 - f(-12) = 10

b. f(0) = 1 - 3/4(0)

 - f(0) = 1 - 0

 - f(0) = 1

c. f(4) = 1 - 3/4(4)

 - f(4) = 1 - 12/4

 - f(4) = 1 - 3

 - f4) = -2

In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%

Answers

Answer:

finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.

27 x

50 X

100

=D1%

Step-by-step explanation:

Find the first 4 terms and the 10th term of 2n-1

Answers

Answer:

1) 1    2) 3   3) 5  4)7

Step-by-step explanation:

In the question it gives you the formula 2n-1

n= number or term for example 1

2x1-1=1

1, 3, 5, 7, 19 that is the first through forth terms and the tenth in that order

!!!NOT A QUESTION, I NEED ADVICE!!!

So I am a freshman student, and in like two weeks, I have PSAT testing. (I think that is the name) I have never taken the test before, and I am super nervous. I have good grades because it was easier being an online student this year, but if I fail the PSAT testing, could I get held back?! What would happen if I did bad on the test?! AAA I’M SCARED...HELP!! ;-;

Answers

Answer:

ight so PSAT means pre-SAT. it doesn't affect your grade. an it don't affect yo chances of getting into college. they wanna see where errybody at, you still wanna do yo best. its preparing you for the SAT i took the psat when i was in 8th grade an they want you to take that shi seriously. buh dont stress about it. they give you plenty of time. im in 10th. buh you finna do great you jus gotta trust in yoself

Last year Stevie was 281/4 inches tall. Since then he has grown 51/5
inches. How tall is Stevie now? Simplify your answer.
T

Answers

Answer:

80.45 inches

Step-by-step explanation:

Last year Stevie was 281/4 inches tall, which is: 70.25 inches (70 1/4)

He has grown 51/5 inches which is: 10.2 inches (10 1/5)

70.25 inches (last years height) + 10.2 inches (how many he has grown) = 80.45 inches

Stevie is 80.45 inches tall now.

Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

100 points! Look at the picture attached. Random answers and links will be reported

Answers

Answer and Step-by-step explanation:

4. We are finding line AC.

AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).

With that being said, we can equal the expressions together.

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

49 = 7x

7 = x

-(7) + 25 = 18

3(2(7) - 8) = 3(14 - 8) = 3(6) = 18

18 + 18 = 36

AC = 36

6. We are finding measure of angle UTW.

We have another angle bisector, so that side is equal to itself (TV ≅ TV)

We have UV and VW having the same length, so those are congruent.

Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.

So, now we can equal the angles together.

2x + 3 = 5x - 24

27 = 3x

9 = x

2(9) + 3 = 18 + 3 = 21

5(9) - 24 = 45 - 24 = 21

21 + 21 = 42

m∠UTW = 42

#teamtrees #PAW (Plant And Water)

(Sorry for the late response, this took some time).

Please help! Will give brainliest

Answers

Answer:

The answer is D

Step-by-step explanation:

Down 3 over 1

Answer is D
Have a great day!!

sorry for all the screen wrinkles but what’s this

Answers

Answer:

cubic polynomial, monomial

Step-by-step explanation:

which is the equation of a hyperbola centered at the origin with focus ( 0,4) and vertex (0,sqaure root 12)

Answers

Answer:

the equation of the hyperbola is y^2/12-x^2/4=1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The ans above is A

If a=3 and b=7 find the value of
2ab​

Answers

Answer:

2ab-87=12 to the 100th times 2ab equals 79 the answer

Step-by-step explanation:

plz help i need some one to check if this is right :(

Answers

Answer:

no the one above it

Step-by-step explanation:

because i have had it recently


Is the line y = 0.6x - 1

Answers

Answer:yes!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To prove check out this screenshot Mark my answer the brainliest to tell you the 4 math calculators :)

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles everyday from now on. The total number of miles walked y can be represented by y=2.5x+5 where x is the number of days walkef

Answers

Answer:

The  answer is below

Step-by-step explanation:

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles every day from now on. The total number of miles walked y can be represented by y = 2.5x + 5, where x is the number days walked after today. a. State the x- and y-intercepts and then graph the equation. b. Interpret the x- and y-intercepts.

Solution:

The equation for a linear function is given by:

y = mx + b; where m is the slope of the function and b is the y intercept.

Given the equation y = 2.5x + 5, the y and x intercept can be found by substituting x = 0 and y = 0. Hence:

a) x intercept is the value of x when y = 0. Therefore:

0 = 2.5x + 5

2.5x = -5

x = -2

y intercept is the value of y when x = 0. Therefore:

y = 2.5(0) + 5

y = 5

b) The x-intercept is at the point (–2, 0). But there cannot be a negative number of days walked, hence the x intercept does not apply in this situation.

The y intercept is at the point (0, 5). This means that Yosune has initially walked her dog 5 miles.

Which expression is the equivalent to 23 1/2?

Answers

Answer:

Step-by-step explanation:

Recall that the quantity 25^(1/2) with fractional exponent 1/2 can be rewritten in the equivalent √25.  In other words, the exponential form

25^(1/2) has the same value (outcome) as does √25.

In general, b^(1/a) is equivalent to (index a root of b).

[tex]\sqrt{23}[/tex] is the equivalent expression of [tex]23^{\frac{1}{2} }[/tex]

What is Expression?

An expression is combination of variables, numbers and operators.

Equivalent expression is the expression whose value will be same when we simplify.

The given expression is Twenty three power one by two.

[tex]23^{\frac{1}{2} }[/tex]

By the exponential property.

Root of twenty three is expression equivalent to twenty three power of one by two.

[tex]\sqrt{23}[/tex]

Hence, [tex]\sqrt{23}[/tex] is the equivalent expression of [tex]23^{\frac{1}{2} }[/tex]

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

They are 267 kids and 21 adults going on a field trip an equal number of people ride on each bus if there are 9 buses how many people will ride on each bus write and solve equations

Answers

32 people on each bus.

30 kids and 2 adults on each bus

I WILL MARK BRANLIEST FOR CORRECT ANSWER; 9th Grade Math Algebra 1

Answers

The answer should be 3x10^-6 or in its alternative:0.000003

What kind of fraction will you have when the percent is over 100%

Answers

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

110%convert to fraction... [tex]\frac{110}{100}[/tex]simplify... [tex]\frac{11}{10}[/tex]

You can go further by making it a proper fraction but that is beyond the current problem we are solving.

2. Is the triangle below a right triangle? Justify your answer.
39
31
35

Answers

Answer:

No

Step-by-step explanation:

39 + 31 + 35 = 105

Yes the triangle below is a right triangle. The triangle is a right triangle because of the 90 degree angle.

f(x) = r - 5x + 10 . Evaluate f(-5).
Α. Ο
B. 10
C. 30
D. 50
E. 60
PLS HELP IM SO BAD AT MATH

Answers

Answer:

f(x) = r - 5x + 10

f(-5)=r-5×-5+10=r+25+10=r+35


Parallelogram ABCD has
coordinates A(1,5), B(6,3),
C(3,1), and D(2,1). What are the
coordinates of E, the intersection
of diagonals AC and BD?

Answers

Answer:

Step-by-step explanation:

Help me? Giving brain

Answers

Answer:

40%

Step-by-step explanation:

10/25 = 0.4

0.4 into a percentage is 40%

Answer:

40%

Step-by-step explanation:

25/10 = 2/5 = .4 or 40%

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