The gas tank in Enrique's car has 15 gallons of gas. Enrique was able to determine that he can travel 35 miles and only use 2 gallons of gas. At this constant rate, he predicts that he can drive 240 more miles before he runs out of gas. Is he correct? Explain.

Answers

Answer 1

Answer:

Yes, he is correct, 240 miles will require a gas volume of 13.71 gallons which is less than 15 gallons in  Enrique's car.

Step-by-step explanation:

Given;

total volume of gas in Enrique's car, V = 15 gallons

The rate of gas consumption [tex]= \frac{35 \ miles}{2 \ gallons} = 17.5 \ miles/gallon[/tex]

To drive 240 miles, he would need the following volume of gas;

[tex]V = 240 \ miles* \frac{1}{\frac{17.5 \ miles}{gallon} }\\\\ V = 240 \ miles*\frac{1*gallon}{17.5 \ miles}\\\\ V = (\frac{240 \ miles}{17.5 \ miles} )gallon\\\\V = 13.71 \ gallons[/tex]

The volume of gas needed to drive 240 miles is less than the total volume of gas in Enrique's car.

Thus, he is correct


Related Questions

Divide using a common factor of three to find an equivalent fraction for 9/12

Answers

3/4

- - - - - - - - - - - - - - - - - -

First, figure out how three goes into each number.

- - - - - - - - - - - - - - - - - -

3 x 3 = 9

3 x 4 = 12

- - - - - - - - - - - - - - - - - -

Now, divide each by three ⇣

9 / 3 = 3

12 / 3 = 4

Take each quotient (answer) and make a fraction.

3/4 ↩︎

- - - - - - - - - - - - - - - - - -

Have a great day/night! :)

~pinetree

The cylinder shown has a volume of 619 cubic inches.
a. What is the radius of the​ cylinder?

Answers

Answer:

Areas and volumes of cylinders etc

Step-by-step explanation:

Given:

h = 10.7 in

V = 619 in^3

Volume (V) = π[tex]r^{2}[/tex]h

619 = 22/7×[tex]r^{2}[/tex]×10.7

∴[tex]r^{2}[/tex] = 619x7/ 22x10.7

r = 4,3 in approx.

Please check calculation for me but thats how one proceeds

which type of angle is pictured?

Answers

Answer:

acute angle

Step-by-step explanation:

An acute angle is less than 90 degrees.

Answer:

C. Acute

Step-by-step explanation:

There is no square so it's no a right.

It's not a straight because it's 180° which is a straight line.

It's not obtuse since it doesn't seem to be larger than 90°.

d + 7 over -3 = 4
SOLVE FOR D

Answers

Answer:

You can write this as: [tex]\\\frac{d+ 7}{-3}=4[/tex]

Step-by-step explanation:

D would have to equal 5.

The first two people to comment on this post and give me three ideas for a Christmas list for a 13-14 year old girl get's brainiest !!

Thanks for all the past recommendations !!

Answers

Step-by-step explanation:

Best Gifts for 13-Year-Old Girls!

Firefly String Lights.

Wreck this Journal.

Fujifilm Instax Mini 9 Camera.

Tulip 18 Color Tie-Dye Kit.

VicTsing Bluetooth Shower Speaker.

DIY Lip Balm Kit.

Mkay Wireless Over-Ear Headphones.

Becoming Me Journal.

American girl doll

Gymnastics set

Girl who's  14

Best Gifts for a 14 Year Old Girl

Money or Gift Cards.

Electronics, Gadgets and Accessories.

Clothes and Shoes.

A Good Book or Two if she's an avid reader.

For the movie loving girl.

Something for 14 year olds who love music.

For the Creative Mind.

For the Sport Loving Teen.

Answer:

hi

Step-by-step explanation:

Firefly String

Shoes.

iphone 11

Estimate the perimeter of the figure to the nearest whole number.

please help
will not click links

Answers

Answer:

The perimeter to the nearest integer is 9.

translate the following phrase into a mathematical expression 12 fewer than triple the value of x ​

Answers

Answer:

3x- 12

Step-by-step explanation: :))) this is true because a number next to a variable means multiplying and then youd subtract 12 from that total

A television's size is
measured by the
diagonal length of the
screen. If a television is
24 inches tall and 32
inches wide, Find its
diagonal length.

Answers

Answer:

This is a clear case to use the Pythagorean Teorem, as we need to calculate diagonal lenght of a rectangle, and to do so, we can divide it in right triangles.

As the Pythagorean Teorem says [tex]a^2 + b^2 = c^2[/tex]

We can now replace on [tex]a^2 + b^2 = c^2[/tex] the numbers we have [tex]24^2 + 32^2 = c^2[/tex]

Now, we solve [tex]24^2 + 32^2 = c^2[/tex] by operating:

[tex]\sqrt{1600} = b[/tex]; b = 40

The diagonal lenght is 40 inches r

find the value of x.

Answers

Answer:

73 degrees

Step-by-step explanation

All quadrilaterals have interior angles that add up to 360 degrees

The sum of all the angles in a quadrilateral, a four-sided shape is 360 degrees, so we get the equation:

 

   [tex]x + 127 +87 + 73 = 360\\x + 287 = 360\\x = 73[/tex]

Therefore x = 73.

Hope that helps!

Frank got a new job through Valley Employment Service. The job pays $71K per year, and the one time agency fee is equal to 38% of one month's pay. How much must Frank pay the agency? SHOW WORK

Answers

Answer:

$2248.33

Step-by-step explanation:

Salary = $71,000/yr

so salary per month:

12 --> months in a year

[tex] \frac{71000}{12} = 5916.67[/tex]

if the one time agency fee is 38% of monthly salary'

($5916.67) (0.38) = $2248.33

Consider the line 9x+6y= -3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Answer:

x= 27

y= 18

Step-by-step explanation:

A ball is thrown into the air with an upward velocity of 80 feet per second. The function
h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?

after 3 seconds

after 4 seconds

after 5 seconds

after 6 seconds

Answers

The ball will reach ground after 5 seconds

Answer:

C: after 5 seconds

what ratio represents the ratio sin (A) in the diagram?

Answers

Answer:

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Step-by-step explanation:

Which number is equivalent to 2−5⋅ 3 ⋅ 22 ⋅ 33

Answers

Answer:

-988

Step-by-step explanation:

see all u do is subtract 2-5 multiply 5 times 3 and 3 times 22 and 22 times 33 and end up getting -988

The awnsers is A C and E

Factoring
16x^5+20x^4-12x^3+24x^2

Answers

The answer to your question is 4x²(x+2)(4x²-3x+3)

what is 2{16-[6^2-4(8-2)}=

Answers

Answer: 8

Step-by-step explanation:

We have to complete the operation in the parenthesis first. 8-2 is 6. Now we have to take 4(6) which is 24. Now we have 6^2-24. 6^2 is 36. So 36-24 is 12. 16-12 is 4. Now 2 times 4 is 8.

what is 5/3 times 6/48

Answers

Answer:

The Answer is 0.20833333333

Step-by-step explanation:

Answer: The answer is 5/24

Step-by-step explanation: I just multiplied them.

Hope it helped : D

Solve the equation
|2x - 5| = -3x+4

Answers

Answer:

x= 5/9 or 0.5556

Step-by-step explanation:

|2x-5| = -3x+4

|5x-5|=4

|5x|=9

|x|=5/9 or 0.5556

x= 5/9 or 0.5556

Your teacher will grade your response to ensure that you receive proper credit for your answer.
It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by third base, second base, and home plate. What can you conclude about the distance from first base to home plate, and from home plate to third base? Explain using your knowledge of congruent triangles.

Answers

Answer:

The answer is

Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:

STATEMENTS | REASONS

(1) BC = CD | Given

m(2) AC = AC | Reflexive Property

(3) triangle ACD = triangle ACB | SAS Congruence

(4) AD = AB | CPCTC

when  CPCTC means Congruent Parts of Congruent Triangles are Congruent.

Therefore, the distance from first base to home plate, and from home plate to third plate are equal.

webew7 and 240 more users found this answer helpful

THANKS

149

4.0

(91 votes)

Answer

3.0/5

Step-by-step explanation:

Answer:

The answer is

Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:

STATEMENTS | REASONS

(1) BC = CD | Given

m(2) AC = AC | Reflexive Property

(3) triangle ACD = triangle ACB | SAS Congruence

(4) AD = AB | CPCTC

when  CPCTC means Congruent Parts of Congruent Triangles are Congruent.

Therefore, the distance from first base to home plate, and from home plate to third plate are equal.Step-by-step explanation:

helpppppp. Which statement correctly compares the function shown on this graph with
the function y=2x- 5?

Answers

Answer:

a

Step-by-step explanation:

What is the equation of a vertical line passing through the point (3, -5)?
Oy=-5
Ox= -5
O y = 3
Ox=3

Answers

Answer: Format of equation of vertical line: x = (x-coord of passing point.).

ANS : D.

How many fluid ounces are in​ 12 1/4​ cups?

Answers

98fl oz is the answer
Which is D

Help !!! Its A Math Question .... Find the coordinates of the reflection without using the coordinate plane.
P (4,6) over the x-axis.

Question options:

(-4, -6)


(4, -6)


(-6, 4)


(-4, 6)

Answers

Answer:

B

Step-by-step explanation:

When reflecting over the x axis, (x,y) -> (x, -y)

This means P(4,6) -> P'(4, -6)

Did I get this right or no if I didn't pls explain (im so stupid)

Answers

Answer:

simplify the answer to 1 over 6

Answer:

1/6 or (Decimal: 0.166667)

Step-by-step explanation:

Evander is considering taking a $6,000

student loan that charges 3. 5% interest

compounded annually. Which amount is

closest to the total loan plus accumulated

interest in 4 years when he graduates?

F $6,885. 14 H $6,210. 00

G $6,840. 00 J $7,019. 15


Right answers only!

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=6000\left(1+\frac{0.035}{1}\right)^{1\cdot 4}\implies A=6000(1.035)^4\implies A\approx 6885[/tex]

Find the length of each line segment or object to the nearest half or fours or eighth inch

Answers

Answer:

a. [tex]1\frac{1}{8} in.[/tex]

Step-by-step explanation:

hey there,

< There are 8 marks between 1 in. and 2 in. and here we can see that the distance of the line goes only up to the first mark.

Imagine this like a pizza that's divided into 8, but you only took 1 slice. That means you took only [tex]\frac{1}{8}[/tex] of the pizza. It is the same here on the ruler.

It's not only 1/8 though because we also have to add in the first inch. After that inch, we also have 1/8 of an inch. So [tex]1\frac{1}{8}[/tex] in. would be your final answer. >

Hope this helped! Feel free to ask anything else.

PLEASE HELP!!! 30 POINTS!!!

Answers

Answer:

completing the square

Step-by-step explanation:

you have to complete it to get the awnser

so if y look at the question it says

this circuit has 9- volt battery and total resistance of 15 ohms how much current flows in the circut

Answers

Answer: Power (P) = 5.4 watt (W)  Current (I) = 0.6 ampere (A)

\

For Anthony's birthday, his mother is making cupcakes for his 8 friends at his daycare. The recipe calls for 3 1/3 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony's mother has only 1 cup of flour. Is there enough flour for each of his friends to get a cupcake?

Answers

Answer:

Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.

Step-by-step explanation:

Let suppose that Anthony and his friend will receive at least one cupcake, which means that Anthony's mother should make at least 9 cupcakes ([tex]\frac{3}{4}[/tex] dozens).

From statement we notice that quantity of cupcakes is directly proportional to the quantity of flour.

According to the recipe, the required amount of flour and cupcakes are, respectively:

Flour

[tex]3\,\frac{1}{3}\,cups = 3 \,cups +\frac{1}{3}\,cups = \frac{10}{3}\,cups[/tex]

Cupcakes

[tex]2\,\frac{1}{2}\,dozens = 2\,dozens +\frac{1}{2}\,dozens = \frac{5}{2}\,dozens[/tex]

If Anthony's mother has 1 cup of flour at her disposal, the amount of cupcakes is obtained by simple rule of three:

[tex]x = \frac{5}{2}\,dozen\times\frac{1\,cup}{\frac{10}{3}\,cups }[/tex]

[tex]x = \frac{3}{4}\,dozen[/tex]

In a nutshell, Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.

What is the fraction for the following decimal expansion?
0.125
A. 1/8
B. 1/4
C. 5/12
D. 1/25

Answers

Answer:

A=1/8

Step-by-step explanation:

used a calculator

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