Mathematics High School

Billy is going on a road trip. The amount of gas g (in gallons) left in his tank varies inversely with the amount
of time he has been driving t in hours. He has 10 gallons left after 4 hours. Write the equation for this
situation.
40

Answers

Answer 1

Answer:

The equation to represent the situation is [tex]10 = \frac{k}{4}[/tex]

Step-by-step explanation:

It is given that:

Amount of gas left in tank varies inversely with the amount of the time.

Let,

g represents the gas

t represents the time

g ∝ 1/t

[tex]g = \frac{k}{t}[/tex]

Here, k represents the constant of proportionality.

Putting g = 10 and t = 4 in the equation

[tex]10 = \frac{k}{4}[/tex]

Therefore,

The equation to represent the situation is [tex]10 = \frac{k}{4}[/tex]

Related Questions

y = 5,000 + 500x
Pls help meh

Answers

5000 divided by 500 = 10
X=10

Answer:

x =10

Step-by-step explanation:

Divide 5000 x 500 =10

rewrite 3/4 and 5/3 with a denominator of 12

Answers

Answer:

3/4 = 6/12    

5/3 = 15/12 or 1 and 1/12

Step-by-step explanation:

f = {(x, y): y = 2x + 3} and D= {2, 4, 6} then, find Range of f​

Answers

Answer:

R= {7, 11, 15}

Step-by-step explanation:

Since we already know what the Domain is for f (2, 4, 6) we can use that to get the range

Since the domain is also x let's replace x for 2

y=2(2)+3= 4+3=7

One of the range is 7

Replace x for 4

y=2(4)+3= 8+3= 11

One of the other range is 11

Replace x for 6

y= 2(6)+3= 12+3= 15

The last range is 15

So the range is R= {7, 11, 15}

The correct answer is 7,11 an 15 please give me brainlest let me know if it’s correct or not okay thanks bye

25. An online music service charges a $12.00
registration fee plus $ 1.50 for each song
downloaded. If Mary Beth has a gift card with
$60.00, then how many songs can she
download?

Answers

Answer:

32 songs

Step-by-step explanation:

60 - 12 = 48

48 ÷ 1.5 = 32

32 songs

32 songs
60-12=48
48/1.50= 0.32

For what value of x is ΔABC ~ ΔDEF?


A. 12
B. 25
C. 44
D. 52

Answers

Answer:

A. 12

Step-by-step explanation:

If A and D are congruent, then [tex]4x - 6 = 42[/tex] which becomes [tex]4x = 48[/tex] after adding which then solves down to [tex]x = 12[/tex].

Helppppp please :(((((

Answers

slope: rise/run so 3/2
y intercept is -3
equation is y=3/2x -3

25% of the 96 coffee mugs at Oscar's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Answers

Answer:

24 coffee mugs are dirty

Step-by-step explanation:

because 25% of 96 is 24

Can someone help me ?

Answers

Answer:
50*

Cause if u know a right angle is 90* then u add it it gets 130 then you take that away from 180 what leaves you with 50
Sin[?] = 18/22 = approximately 54.9degree

Can someone help pls

Answers

Answer:

[tex] \frac{100.5}{5} {feet}^{3} [/tex]

hope it's helpful ❤❤❤❤❤

THANK YOU.

3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?​

Answers

Answer:

11

Step-by-step explanation:

The required distance left to the walk will be 11 km.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

Let the total distance of the walk would be x km

As per the given information, the required solution would be as:

⇒ 45% of x = 9

45%  is expressed as 45/100 in fractional form

⇒ (45/100)x = 9

45/100  is expressed as 0.45 in decimal form

⇒ 0.45x = 9

⇒ x = 9/0.45

⇒ x = 20

So the total distance of the walk is 20 km

Since he has already walked 9 km.

So, he has left to the distance of the walk = 20 - 9 = 11 km

Therefore, the required distance left to the walk will be 11 km.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

What is 3.6 x 3.2 Please hurry​

Answers

Answer:11.52

Step-by-step explanation:

Answer: 11.52

Step-by-step explanation:

13.
Write and solve a system of equations for each story problem.
A class of 366 students went on a field trip. They took 12 vehicles, some vans and some buses
Find the number of vans and the number of buses they took if each van holds 6 students and each bus holds
55 students

Answers

Answer:

6 vans and 6 buses

Step-by-step explanation:

v+b=12 this equation represents the amount of vehicles

6v + 55b = 366 this equation represents the amount of students per vehicle.

after solving you get v=6 and b=6

plz help mee it was due like 3 days ago and i forgot about it

Answers

can you zoom it in more so i can see
46x45(56)3*24 hope this help 68+130 times 2x and 108

I am confused. please help!

Answers

Answer:

Step-by-step explanation:

D=90°

E=147°

F= 33°

1/5 ÷ 2/9 ..........​

Answers

Answer:

[tex] ‡\:\:\frac{1}{5} \div \frac{2}{9} \\ = \frac{1}{5} \times \frac{9}{2} \\ = \boxed{\frac{9}{10}}✓[/tex]

9/10 is the right answer.

Answer:

1/5 ÷ 2/9

1/5 × 9/2

= 9/10 ✓✓✓

please helppppppp meee

Answers

Answer:

2.73

Step-by-step explanation:

Bc I did this

Line k is parallel to line l. Lines k and l are parallel. Lines m and n intersect to form 2 triangles. The top triangle has angles 1, 2, 3 and the bottom triangle has angles 4, 5, 6. Which angle is congruent to Angle 4? Angle 1 Angle 2 Angle 5

Answers

Answer:The line that is congruent to angle 4 is angle 1

hope this helped :)

Answer:

a

Step-by-step explanation:

Paul reduced his debt from $1600 to $400. What was the percent decrease?

Answers

Answer: 75%

Step-by-step explanation:

The debt went from $1,600 to $400.

Formula when calculating percent decrease is:

= (New price - old price) / Old price

= (400 - 1,600) / 1,600

= -75%

Paul reduced his debt by 75%

What are the answers to these questions

Answers

F(-1)=2
F(2)=-1
F(3)=-3



The f(x) part is the input and the stuff after is the output

Pls help me pls and thank you

Answers

Answer:

10

Step-by-step explanation:

2/3 of 15 is 10

Translate the sentence into an equation Eight times the sum of a number and 4 equals 6 use the variable c for the unknown number.


PLS HELP MEE

Answers

Answer: 8(c+4) = 6
This should be right.

In the figure, BP = BQ and PC = QA. Which of the following postulates prove AB = BC?

Answers

Answer:

Option C

Step-by-step explanation:

Segment addition postulate states that "if a point Q lies on a segment joining two points A and B, then AQ + BQ = AB"

By this postulate,

AQ + BQ = AB

BP + PC = BC

Since, BP ≅ BQ and PC ≅ QA

Therefore, BP + PC ≅ BQ + QA

BC ≅ AB

Option (C) will be the answer.

Answer:

Segment Addition Postulate

Step-by-step explanation:

I got this answer right

HELP ASAP PLEASE PLEASE HELP ME THESE ARE TWO Separate answers please help

Answers

5n = 40

Divide both sides by 5

N = 8

D + 15 = 30

Subtract 15 from both sides

D = 15

Answer:

First one 5n-40 what does n so n=  8

The last one I see is d+15=30 so the d=15

Step-by-step explanation:

1. 5x8-40 i think

2.15+15=30 this is right am 91.1% right about this one

what is the answer for this y=__x+__

Answers

the answer is y=mx+b

*when a very low mental stability and exhaustion makes you forget to put the question

Answers

Answer:

5

Step-by-step explanation:

Think of 5 positive things and 9 negative things.

O O O  O O

P P P P P P P P P

5 of the positive things will cancel out 5 of the negative things, leaving behind 4 negative things.

#teamtrees #WAP (Water And Plant)

[tex]\large\mathcal{\red {\underline {\overline {\mid {\purple {Answer}}\mid}}}}[/tex]

[tex] - 4 = 5 - 9[/tex]

What is the y-intercept of the line?
110
A
2
B
3
000
-7
-6
D

Answers

the correct answer is 3

NEED HELP PLSS!!!



pls dont answer if you dont know

Answers

Answer:

the second one is 343 to the 5 power

Step-by-step explanation:

thats all i know

srry honey

Answer:

[tex]16 {x}^{14} [/tex]

[tex] {7}^{15} [/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDASgiven:(8x⁸)(2x⁶)(7³)⁵tips and formulas:[tex]( {hx}^{a} )(g {x}^{b} ) = hg {x}^{a + b} [/tex][tex]( {x} ^{a} )^{b} < = > {x }^{ab} [/tex]let's solve:

[tex](8 {x}^{8} )(2 {x}^{6} ) \\ 8 \times 2 \times {x}^{8 + 6 } \\ 16 {x}^{14} [/tex]

[tex]( {7}^{3} ) ^{5 } \\ {7}^{5 \times 3} \\ {7}^{15} [/tex]

which fraction is equvalent to a terminating decimal

Answers

Just divide the numerator by the denominator.If you end up with a remainder of 0 then you have a terminating decimal.

3. Bob the plumber charges $15 per hour plus a service fee of $40 for coming out to your
house. How much would plumber Bob charge for working 5 hours?
A) S125
B) $100
C) $75
D) $115

Answers

15 + 40 = 55
55 x 5 = 275

What is the value of x?

Answers

X=22.5 because the numbers have to be proportional to 15
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