Mr. Snyder begins traveling east on Interstate 90 from Spokane with a full tank of gasoline. His car has a 15-gallon gas tank and gets 30 miles per gallon during highway travel. Let m = the number of miles Mr. Snyder has driven Let g = the number of gallons of gas remaining in his tank Select in the letter of the equation that describes the relationship between the number of miles Mr. Snyder has traveled and the number of gallons remaining in his gas tank.

Answers

Answer 1

Answer:

[tex]g = 15 - \frac{1}{30}m[/tex]

Step-by-step explanation:

Given

[tex]Initial = 15[/tex]

[tex]mpg = 30[/tex] --- miles per gallon

Required

Determine an equation for this trip

First we have to get the number of gallons per mile from [tex]mpg = 30[/tex]

[tex]\frac{miles}{gallon}=30[/tex]

Inverse the equation

[tex]\frac{gallon}{miles}=\frac{1}{30}[/tex]

This represents the rate in gallons/mile

So, the equation is:

[tex]g= Initial - Rate * m[/tex]

[tex]g= 15 - \frac{1}{30} * m[/tex]

[tex]g= 15 - \frac{1}{30}m[/tex]


Related Questions

Expand and simplify 4(2p+7)+6(8q-2)

Answers

Answer:

8 p + 48 q + 16

Step-by-step explanation:

Samuel is a teacher and takes home 75 papers to grade over the weekend. He can grade at a rate of 7 papers per hour. How many papers would Samuel have remaining to grade after working for 8 hours?

Answers

Answer: 19

Step-by-step explanation:

75 papers need to be marked

He grades 7 papers per hour

To find out how many paper he graded in 8 hours:

7 x 8

(7 is the number of papers graded in an hour)

(8 is the number of hours)

7 x 8 = 56

(56 is the number of papers he graded in 8 hours)

Now, there was a total of 75.

To find the remaining number of test sheets:

75 - 56

(75 is the total number of papers)

(56 is the number of papers graded)

75 - 56 = 19

Therefore, there are 19 papers remaining to grade.

Todd uses white tiles and some black tiles to make mosaic the mosaic has a total area of 144 square centimeters each tile has an area of 3 square centimeters how many black tiles did Todd use

Answers

Answer:

27 tiles

Step-by-step explanation:

Here is the complete question :

Todd uses 21 white tiles and some black tiles to make a mosaic.the mosaic has a total area of 144 square centimeters. Each tile has an area of 3 square centimeters. How many black tiles did Todd use

Steps to take to determine the answer

Determine the total area of the white tiles used. This can be determined by multiplying the number of white tiles by the area of a tilesubtract the area of the white tiles from the total area of the mosaic. Divide the answer derived in the previous step by 3

Area of the white tile = area of each tile x total white tiles used

3 x 21 = 63cm²

144cm² - 63cm² = 81cm²

Number of black tiles used = 81cm² / 3cm² = 27 tiles

pleaseeeee I needdd help, please

find x value using the quadrants

sinx = ( - sin²x + cos²x)

Answers

Answer:

Step-by-step explanation:

sin²x+cos²x = 1. No Matter What is the value of x. For Explanation: Sin x is opposite_side/hypotenuse of a Right angle triangle. Cos x is adjacent_side/hypotenuse of a Right angle triangle.

Question 13 (1 point)
(07.05 MC)
What is the solution to the equation 4x + 2(x - 2) = 4x + x - 12? (1 point)
O 1) -8
2) -1
3) 1
04) 8

Answers

Answer:

-8

Step-by-step explanation:

4x+2(x-2)=4x+x-12

4x+2x-4=5x-12

6x+2x-4=5x-12

x-4=-12

x=-8

LOOK AT THE PIC BELOW

Answers

Answer:

B. 200 cubic feet

Step-by-step explanation:

There are two prisms: the triangular prism and the rectangular prism

first lets start with the triangular one:

remember that for a right triangular prism (this one), the area is 1/2 x base x height x length

another way to think about it is to find the area of the triangle and then multiply that by the thickness

The base is 4 feet and the height is the same as the rectangular prism, which is 5

and the length is 4 ft (same as rectangular prism)

so 1/2 x 4 x 5 x 4 is 40

next lets do the rectangular prism

remember the volume is length x width x height

8 x 4 x 5 = 160

now we simply add the volume of the two prisms

40 + 160 = 200

and there's you're answer :)

hope that helps!

Answer:

Step-by-step explanation:

Area of triangular face = 0.5×4×5 = 10 ft²

Volume of triangular prism = 10×4 = 40 ft³

Volume of rectangular prism = 8×4×5 = 160 ft³

Total volume = 40+160 = 200 ft³

A bus and a car both drive 145 miles from town A to town B. The bus drives 8 miles per hour faster than the car. If it takes the car 2 hours and 54 minutes to arrive, how long does it take for the bus to arrive?

Answers

Answer: 2.5 hours

Step-by-step explanation:

Given

Distance between A to B town is [tex]d=145\ miles[/tex]

Bus speed is 9 miles per hour faster than car

time taken by car is 2 hours and 54 minutes i.e.

[tex]t=2+\dfrac{54}{60}=2+0.9=2.9\ hr[/tex]

Speed of car is v

[tex]\Rightarrow v=\dfrac{d}{t}=\dfrac{145}{2.9}=50\ mph[/tex]

Speed of bus is [tex]v+8=50+8=58\ mph[/tex]

time taken by bus is t'

[tex]\Rightarrow t'=\dfrac{d}{v+8}=\dfrac{145}{58}=2.5\ hr\\\\\\\Rightarrow t'=2\ hr\ \text{and}\ 30\ \text{minutes}[/tex]

Please help with explanation.

Answers

Answer:

hope help you stay happy

determine the total surface area.

Answers

Answer:

it should be 288

Step-by-step explanation:

Can someone plz help me on this plz

Answers

Ok so ... the answer is B:264 because you multiply all the numbers because volume = l x w x h... which also is 6 x 11 x 4 and that’s how I got B :)

The temperature at 5:30 A.M. was recorded as 7 degrees below zero on the Fahrenheit scale. Write the temperature using a signed number​

Answers

Answer:

mhhm yea this is very questioned questioned

Step-by-step explanation:

yea mhm

An animal trainer at the aquarium
trains bottlenose dolphins to jump
for performances. One dolphin
jumped out of the water at a height
of 15 feet and then dove back under
the water to a depth of 20 feet. Write
an expression to represent the vertical
distance the dolphin traveled. What is
the vertical distance?

Answers

Answer:

15 up plus 20 down= 35 feet.

Step-by-step explanation:

15+20=35

How many arms do a 6 starfish have?

Answers

Wouldn’t it be 30 over all??

So 30 is the answer

Hope this helps

10 and
In acute triangle ABC, side b = 12, side c =
mLA = 42. Find side a.

Answers

Answer:

20

Step-by-step explanation:

I'm not completely sure, however.

12+10 = 22

42-22 = 20

please help due pretty soon​

Answers

Answer:

C. y - 1 = 5( x - 8)

Step-by-step explanation:

Since line is passing through (8, 1) and has a slope 5.

So, the equation of line in point slope form is given as:

y - 1 = 5( x - 8)

Answer: C

Step-by-step explanation:

i got the last one wrong , pls give me the right answer i need atleast a 75%

Answers

The answer is A!! Your welcomeeee
Answer is a to this question

What is the vertex for the parabola shown?

A) (1.2)

B) (2,1)

C) (0.1.5)

D) (-1,3)

Answers

Answer:

the answer is B

Step-by-step explanation: Its B because the vertex is in the middle

Crystal's soccer team won 14 of the 20 games they played last season. What percent of games played did they win?​

Answers

Answer:

70%

Step-by-step explanation:

hooe this helps plz follow ❤❤

Determine the radius of the circle below.

Answers

Answer:

r = 22.629

Step-by-step explanation:

Using the Pythagorean theorem:

(35 + r)² = 53² + r²

1225 + 70r + r²  = 2809 + r²

subtract r² from each side of the equation:

1225 + 70r = 2809

subtract 1225 from each side:

70r = 1584

r = 22.629

What is the GCF of 28x3 and 28x5?

Answers

Answer:

28x^3

Step-by-step explanation:

NEED HELP ! PLEASE HELP ASAP !

Answers

Answer:

distance between points is 5.6568...

when you round it will be 5.7

answer is 5.7

Step-by-step explanation:

find the distance between two points using distance formula

Need help with this question.​

Answers

Answer:

D.

Step-by-step explanation:

the smallest angle correpsonds with the smallest side, and longest angle with longest side. hope it helped

Factorise this pleasee
x2− 7x

Answers

Step-by-step explanation:

take X common

x2-x7

X(2-7)

X(-5) Answer

It may helps

Answer:

x(x - 7)

Step-by-step explanation:

x² - 7x = x*x - 7*x =x(x - 7)

On a boat tour, there are half as many children as there are adults. There are 30 people on the tour.

Answers

Answer:

I dont know your question. But, im guessing how many children are there. There are 15 children on the boat tour.

Step-by-step explanation:

Half of 30 is 15.

Answer:

hay15 niños

Step-by-step explanation:

Ms. F arrived at the Wizarding World of Harry potter at 9:12 am. It took her 1 hour and 16 minutes to get there from leaving her house. What time did she leave her house?

Answers

Answer:

She left her house at 7:56 am

Step-by-step explanation:

Please help really struggling..... Need the grade and just answer the question and not for just the points, no links!!!! Marking brainliest!!!!!

Answers

Answer:254.47 I think

Step-by-step explanation:

The width of a rectangle is 7 feet and the diagonal legnth of the rectangle is 11 feet. Which measurement is closest to the length of this rectangle in feet?

Answers

Answer:

8.49 feet

Step-by-step explanation:

Characteristics of a rectangle

A rectangle is a quadrilateral It has two parallel sides the diagonals of a rectangle bisect each other and they are equal in length

One diagonal of a rectangle divides a rectangle into two right angled triangles. Thus, the length of the rectangle can be determined using the Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length = ?

b = width = 7

c = diagonal = 11

7² + a² = 11²

49² + a² = 121²

a² = 121 - 49

a² = 72

calculate the square root of 72

a = 8.49 feet

Answer:

8.49 feet

Step-by-step explanation:

I only need answer for part A.

Answers

Answer:

y= 1/6 x - 1 1/2

p-by-step explanation:

Answer:

[tex]y=\frac{1}{6} x - 1\frac{1}{2}[/tex]

Step-by-step explanation:

have a great day :D

The area of a sector is. What does the variable n represent?

Answers

the number of degree in the central angle

N is the degree of the central angle of the sector.

What is sector in an angle?

The sector angle is the angle subtended between two radii of circle to the center of Circle.

If the radius of the circle is 10 inches, and the central angle of the sector is 90 degrees, the area of the sector can be found as follows:

90/360 * (3.14 * 10^2).

Following the order of operations, the equation proceeds as follows:

1/4 * (3.14 * 100) = 1/4 * 314 = 78.5.

Thus, the area of the sector is 78.5 square inches.

The formula to find the area of a sector is A = N/360 x (pi x r^2).

A sector is a section of a circle. In the formula given, A is the area of the sector,

N is the degree of the central angle of the sector, pi is an irrational number that can be rounded to 3.14, and r is the length of the radius of the circle.

Hence,  N is the degree of the central angle of the sector.

Learn more about sector:

https://brainly.com/question/15591260

#SPJ2

Drew's car weighs 1,344 kilograms. His car weighs 7 times as much as his motorcycle. How many grams does his motorcycle weigh? Note: 1 kilogram = 1000 grams

Answers

Answer:

192,000 grams

Step-by-step explanation:

turn 1,344 kilograms to grams, which gives u 1344000 grams

divide 1344000 by 7 and you get 192,000 grams. Hope this helped :)

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