. Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4c+6v=80 describes the relationship between the number of cars, c, and number of vans, v, that can transport exactly 80 students.

Select all statements that are true about the situation.

If 12 cars go, then 2 vans are needed.
c=14 and v=4 are a pair of solutions to the equation.
If 6 cars go and 11 vans go, there will be extra space.
10 cars and 8 vans isn’t enough to transport all the students.
If 20 cars go, no vans are needed.
8 vans and 8 cars are numbers that meet the constraints in this situation.

Answers

Answer 1

Answer:

3v +2c=32 students

Step-by-step explanation:

Answer 2

Answer:ALL OF THESE ARE TRUE

c=14 and v=4 are a pair of solutions to the equation.

If 20 cars go, no vans are needed.

8 vans and 8 cars are numbers that meet the constraints in this situation.

Step-by-step explanation:

1. If 12 cars go, then 2 vans are needed.

(4)(12)+(6)(2) = 80

60≠80

False2.c=14 and v=4 are a pair of solutions to the equation.

(4)(14)+(6)(4) = 80

80=80

True

3.If 6 cars go and 11 vans go, there will be extra space.

(4)(6)+(6)(11) = 80

90≠80

False

4. 10 cars and 8 vans isn’t enough to transport all the students.

(4)(10)+(6)(8) = 80

88≠80

False and is wrong because it would leave extra space

5. If 20 cars go, no vans are needed.

(4)(20)+(6)(0) = 80

80=80

True

6. 8 vans and 8 cars are numbers that meet the constraints in this situation.

(4)(8)+(6)(8) = 80

80=80

True


Related Questions

A mountain has a peak of 7070 meters above sea level. A valley has a depth of 7460
meters below sea level at it lowest point. What is the halfway elevation between the
peak of the mountain and the lowest point of the valley. (Don't forget your sign)

Answers

7,265 is the average of those two numbers, though i am not sure what the sign that is mentioned is

(9th grade) Can someone pleaseee help meee !

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Y=4x+8 bc if it takes for minutes to fill and 8 minutes to drain 4 would be how long it would take to fill

527-119=
hdgfewvkYgbfihuWHVBYGUARVYUJ

Answers

Answer:

527-119 is 408

Step-by-step explanation:

the answer is 408

A kite string is 220 feet in length. It makes a 45 angle with the ground. How high is the kite off of the ground?

Answers

Answer:

The height of the kite off the ground is 155.562 feet

Step-by-step explanation:

Given

[tex]Length = 220ft[/tex]

[tex]Angle = 45 \deg[/tex]

Required

Determine the height the kite is from the ground

This question is best explained with the following attachment

From the attachment, we have that the illustration of the question forms a right angled triangle triangle and required to solve for h

The relationship between h, 220 and 45 degrees is:

[tex]Sin\ \theta = \frac{Opposite}{Hypothenuse}[/tex]

Where

[tex]\theta = 45 \deg[/tex]

[tex]Opposite = h[/tex]

[tex]Hypothenuse = 220[/tex]

So, we have:

[tex]Sin\ 45 = \frac{h}{220}[/tex]

Multiply both sides by 220

[tex]h = 220 * sin\ 45[/tex]

[tex]h = 220 * 0.7071[/tex]

[tex]h = 155.562[/tex]

Hence, the height of the kite off the ground is 155.562 feet

The ratio of boys to girls in a class is 2 to 3. If there are 4 boys in the class, how many girls are there?

Answers

Answer:

Step-by-step explanation:

Firstly, we can simplify the ratio of boys to girls to  

1

:

2

.

Then, to find out how many students each ratio represents, we add up  

1

and  

2

to get  

3

(

1

+

2

=

3

).

By dividing  

3

by the number of students, we can find how many students ONE ratio represents:  

24

3

=

8

.

So ONE ratio is equal to  

8

boys. Since our simplified ratio of boys to girls is  

1

:

2

already, we do not have to do further multiplying - the number of boys is simply  

8

.

For the girls, simply multiply  

2

by  

8

to get  

16

.

Check:  

8

 

boys

 

+

18

 

girls

=

24

 

students

.

Do these have the same value? 2 to the power of 3 and 3 to the power of 2?


Plz i need really hep with this one!

Answers

Answer:

No

Step-by-step explanation:

2 to the power of 3 is: 2×2×2=8

3 to the power of 2 is: 3×3=9

Answer:

no these don't have the same powers

Step-by-step explanation:

2the power 3 =8 and 3the power 2 is 9..hope it's help ful

help i dont understand at all please explaim ​

Answers

Answer:

120

Step-by-step explanation:

theyre vertical angles and theyre the same degrees so it would be 120 hope this helps!

pwese help ill give brainlyest

Answers

Answer:

y=(14-8x) divided by 2

Step-by-step explanation:

minus 8x from both side you get

2y=14-8x

then you divide by 2

y=(14-8x) divided by 2

thats the furthest it can be simplified

Answer: x=  1/4 y = +  7/4

Step-by-step explanation:

Step 1: Add -2y to both sides.

8x + 2y + - 2y = 14 + −2y

8x = −2y + 14

Step 2: Divide both sides by 8.

8x /8 = -2y + 14/8

x=  1/4 y = +  7/4

2) Your bill at a restaurant comes to $24.50. You decide to tip 16%. What is the final bill?​

Answers

Answer:

$28.42 is your total

Step-by-step explanation:

hope it helps, please mark as brainliest, please

he expression consists of __
terms, and each term contains __
factors. what goes in those spots?

Answers

Answer:

Step-by-step explanation:

Terms are single numbers, variables, or the product of a number and variable.

A factor is one part of a product.

Hint #22 / 4

The expression \red{ab} + \green{cd}+ \blue{ef}ab+cd+efstart color #df0030, a, b, end color #df0030, plus, start color #28ae7b, c, d, end color #28ae7b, plus, start color #6495ed, e, f, end color #6495ed + \purple{gh}ghstart color #9d38bd, g, h, end color #9d38bd consists of four products of variables connected by addition so each product is a term. The first term is \red{ab}abstart color #df0030, a, b, end color #df0030, the second term is \green{cd}cdstart color #28ae7b, c, d, end color #28ae7b, the third term is \blue{ef}efstart color #6495ed, e, f, end color #6495ed, and the fourth term is \purple{gh}ghstart color #9d38bd, g, h, end color #9d38bd.

Hint #33 / 4

Each of the terms is the product of two variables. Each variable is a factor because it is one part of a product. The expression \red{ab}abstart color #df0030, a, b, end color #df0030 contains two factors: \red{a}astart color #df0030, a, end color #df0030 and \red{b}bstart color #df0030, b, end color #df0030. Similarly, the expressions \green{cd}cdstart color #28ae7b, c, d, end color #28ae7b, \blue{ef}efstart color #6495ed, e, f, end color #6495ed and \purple{gh}ghstart color #9d38bd, g, h, end color #9d38bd also contain two factors.

Hint #44 / 4

The expression ab+cd+ef+ghab+cd+ef+gha, b, plus, c, d, plus, e, f, plus, g, h consists of 444 terms, and each of these terms contains 222 factors.

HELP HELPPPP PLEASEE
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:

$0.50, $0.65, $0.80, $0.95, $1.10, ...

Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15

Answers

Answer:

f(n)=o.15n. is you answer

Answer:

a

Step-by-step explanation:

Please help this is hard!

Answers

M = -7 and 7

If you are solving for M that is

Jonas practises guitar for 1 hr a day for 2 years, Bradley practices 2 more hrs more than Bradley how many minutes did they practice their gutars indivisoally. Show your work!!

Answers

Number of hours Jonas practising, j = 1 hr.

Number of hours Bradley practising, b = 3 hr.

Total minutes of hour Jonas practised :

[tex]T_j = 1\times 365\times 2\times 60\ minutes\\\\T_j = 43800\ minutes[/tex]

Total minutes of hour Bradley practised :

[tex]T_b=(1+2)\times 365\times 2\times 60\ minutes\\\\T_b =131400\ minutes[/tex]

Therefore, Jonas and Bradley practice for 43800 minutes and 131400 minutes respectively.

Hence, this is the required solution.

i need help finding

Answers

Answer:

angle edf is 70

Step-by-step explanation:

triangle angles always add up to 180. So if you have 40 degrees at angle e already, 180-40 = 140

since side DE and side EF are congruent, that means its an isosceles triangle. One rule for that type a triangle is that the two base angles are equal. So you can just do 140/2 = 70

hope that helps!

I’m sorry I’m not actually answering you this is just so I can ask my questions bc I have to answer people

The height of an object is directly proportional to the length of its shadow a tree that is 2.5 meters tall cast a shadow 5 meters long how tall is a building that cast a shadow 78 meters long

Answers

Answer:

The height of the building that casts a shadow of 78m meters is 39m

Step-by-step explanation:

Let height be represented by H and the shadow is S

as they are directly proportional

H [tex]\alpha[/tex] s

H=KS   ( where K is a proportionality constant)

H=2.5m , S= 5m

On substituting in the equation

2.5 = K*5

K= 0.5

Now the equation becomes

H = 0.5*S

Height when shadow is 78m

H= 0.5*78

H= 39m

Which expression is equivalent to 0.05(X-40)

A: 0.05x - 40.05
B: 0.05x-40
C: 0.05x- 2.05
D: 0.05x- 2

Answers

This is your perfect answer

Answer d

Answer:

Step-by-step explanation:

No its A dont listen to anyone else but me

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Answers

Answer:

C)  started the practice and concept of microloans

Step-by-step explanation:

E d g e n u i t y 2020

The Grameen Bank of Bangladesh started the practice and concept of microloans.

What is Grameen Bank?

Grameen Bank is a microfinance organisation and community development bank founded in Bangladesh.

The Grameen Bank of Bangladesh started the practice and concept of microloans, which are small loans given to individuals or groups, typically in developing countries, to help them start or expand small businesses.

The Grameen Bank is known for its focus on providing these loans to women, who are often excluded from traditional banking systems.

The bank has been widely praised for its success in reducing poverty and empowering women, and its model has been replicated in many other countries.

Hence, the Grameen Bank of Bangladesh started the practice and concept of microloans.

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https://brainly.com/question/11558047

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Twelve of the 28 dogs at the shelter are purebred. What percent of the dogs are purebred?

Answers

Answer:

About 42%

Step-by-step explanation:

If twelve of the 28 dogs are pure bred then about 42% is purebred

Ashanti bought seven boxes to pack all the junkie stuff in her room. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. How many boxes did she start with?

SHOW YOUR WORK.

Answers

Answer:

the aswer is 154

Step-by-step explanation:

multiple

Answer:

3 and half

Step-by-step explanation:

half of seven is 3.5

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Answers

Answer:

D. 18 1/8

Step-by-step explanation:

The three 1/3’s add up to 1. The 7 and 9 add up to 16. Add the 1 to that and you get 17. Then change the 1/2 to 4/8 and add that to the 5/8. You then get 1 and 1/8. Then you add that to the 17.

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

Write an equation relating the number of individual songs, s, and the number of albums, a, Jada can download.

Answers

Answer:

The equation for this problem is 0.5s+4a=15

Step-by-step explanation:

Lauren reads 30 pages in 6 minutes in a 240 page novel what is the constant of proportionality that relates the number of pages, y, to the number of minutes l, x? A. 5 B.40 C.8 D. Not here

Answers

Answer:

The answer is 5 pages per min

Step-by-step explanation:

U have to divided 30 by 6 which is your answer

HOPE THIS HELPS

Answer:

5

Step-by-step explanation:

Jennifer and two friends went out to eat. Their bill was $54.25 and they need to pay tax of 8% and leave a 17% tip. If they split the bill evenly, how much will they each pay?

Answers

Answer:

$33.91

Step-by-step explanation:

54.25 x 0.08=4.34 TAX

54.25 x 0.17= 9.22 TIP

Add:

54.25+4.34+9.22= 67.81.

Divide:

67.81 ÷ 2 =33.905

So arround 33. 91 if you rounded it off.

help me plzzzzzzzzzzzzzz​

Answers

I think the answer is 3

Answer:3

Step-by-step explanation:

DIBUJA EN TU CUADERNO 5 POLIGONOS CON SU RESPECTIVO NOMBRE Y DIBUJA SUS DIAGONALES

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Uhhhhhhhhh what are u saying can u translate to English maybe I can help

what is two and two-thirds subtracted by two and one-third

Answers

Answer:

one-third

Step-by-step explanation:

2 2/3 - 2 1/3 is 1/3.

what is slope (what does it mean) for anyone who answers they will get a brainliest

Answers

slope basically directs how steep a line is. it’s formula is rise/run of y2-y1/x2-x1

Answer:

rise over run

One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Step-by-step explanation:

3 CO2 + 6 NADPH + 5 H2O + 9. Please

Answers

Answer:

omg

Step-by-step explanation:

too ez its 20 square rooted kid

18x-(4.50x+30,000)= ?

Answers

Ok, so the answer is 13.5x - 30.000.
Hope the is helps :)

PLEASE HELP! Taylor wants to make granola bars for her hiking club. The recipe calls for 3/4 of a cup of raisins for 2 batches of granola bars. How many cups of raisins will Taylor need for each batch?
The correct expression to solve this problem is ___
Using equivalent fractions, the correct expression would be ___
Taylor will need __ cups of raisins for each batch of granola bars.

Answers

Answer:

I think it would be the 2 bathchrs go by div and turn to a simple form and then overdue it by its times and calculate I hope it helps you I'm very sorry if it doesn't

Answer:

yeah what mllee said (I'm just confirming her answer :))

Step-by-step explanation:

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