Two friends take a 4000-mile cross-country trip together, but they drive their own cars. Car A has a 10-gallon gas tank
and averages 30 miles per gallon, while car B has a 20-gallon gas tank and averages 20 miles per gallon. Assume
both drivers pay an average of $2.65 per gallon of gas.
a. What is the cost of one full tank of gas for car A? For car B?
b. How many tanks of gas do cars A and B each use for the trip?
c. About how much do the drivers of cars A and B each pay for gas for the trip

The total surface area of the moon is A = 79,98,258[tex]miles^{2}[/tex]

or  A =  2.07153931 × [tex]10^{13} m^{2}[/tex]

as per given in the question,

the radius of the moon ( r) is 798 miles

to find the area of the total surface area of the cylinder

Area (A) = [tex]4\pi r^{2}[/tex]  where r is radius of the sphere,

by substituting the radius in total surface area formula area,

A = [tex]4\pi (798) ^{2}[/tex]

                                    ( let [tex]\pi =3.14[/tex])

A = [tex]4\times3.14\times798\times798[/tex]

A = [tex]12.56\times63684[/tex]

A = 79,98,258.24

                               ( by rounding to the nearest whole number we get )

A = 79,98,258[tex]miles^{2}[/tex]

or we can write in

A =  2.07153931 × [tex]10^{13} m^{2}[/tex]

                                              ( in terms of meters)

the total surface are of the sphere is A = 79,98,258[tex]miles^{2}[/tex]

A =  2.07153931 × [tex]10^{13} m^{2}[/tex]

to learn more about  surface area:

https://brainly.com/question/14964806

40 percent of Marley's attempts were strikes, when  Marley rolled 28 strikes out of 70 attempts.

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage. A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Given,

28 strikes rolled by Marley

Total attempts = 70

For percentage,

28/ 70 × 100%

0.4 × 100%

40%

40 percent of Marley's attempts were strikes, when Marley rolled 28 strikes out of 70 attempts.

To learn more about percentage, visit:

https://brainly.com/question/8822360

#SPJ1

The vectorial physical quantity that measures the intensity of the interaction between two or more objects is called force.

The force is a vector quantity, it is completely defined with:

In physics, it is established that physics is any factor capable of generating a deformation or change of state, in the movement, of a body. From Newton's second law, a force can be calculated as:

Where:

Force is the vector quantity with which we can express, for example, the intensity of interaction between two or more bodies.

¡Hope this helped!

The probability that the next customer pays with a debit card or a credit card will be 0.28.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Jacob claims an independent venture selling bagels. He realizes that somewhat recently 108 clients paid cash, 24 clients utilized a charge debit card, and 18 clients utilized a credit card.

The total number of events is given as,

Total event = 108 + 24 + 18

Total event = 150

The probability that the next customer pays with a debit card or a credit card is written as,

P = (24 / 150) + (18 / 150)

P = 42 / 150

P = 0.28

The likelihood that the following client pays with a check card or a Visa will be 0.28.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

Step-by-step explanation:0.28

Answer:

Below

Step-by-step explanation:

180° rotation (clockwise  OR counterclockwise)

Reflection across y axis would put the diagram in Q IV

90 degree rotation CCW   would also be in Q IV

Translation R and up would  be more centered around the origin

Answer: 3/20

Step-by-step explanation:

     With our fraction, we will have officer members over total number of members. Three is a prime number, so this fraction cannot be simplified any more. This gives us the fraction;

             3/20

Answer: 25.49

Because the internet has a good calculator

3(x-4)+5=2(x-3)+4

3x-12+5=2x-6+4

3x-7=2x-2

x-7=-2

x=5

Here is the two column proof:

     Statement                                        Reason                                              

The correct option is C (-2, 1)

According to the question,

3x -4y = -10 --------equation 1

3x = 10 + 4y

[tex]x = \frac{ - 10 + 4y}{3} [/tex]

Also,

4x + 2y = -6 --------equation 2

Put the value of x in the equation,

4((−10+4y)÷3)+2y=−6

[tex] - \frac{40}{3} + \frac{16y}{3} + 2y = - 6[/tex]

[tex] \frac{ - 40 + 16y + 6y}{3} = - 6[/tex]

-40 + 22y = -6*3

-40 + 22y = -18

22y = 40-18

22y=22

y=1

Solving equation 1 for x by putting values if y

3x-4=-10

3x=-6

x=-2

Hence the values of x is -2 and y is 1

To know more about linear equations,

https://brainly.com/question/18831322

Answer:

6

Step-by-step explanation:

Answer:

We can use the point-slope formula to find the equation of the tangent line. The point-slope formula is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. To find the equation of the tangent line, we need to find the slope of the line and a point on the line.

To find the slope of the line, we can use the definition of derivative. The derivative of a function f(x) at a point x0 is defined as:

f'(x0) = lim(h->0) (f(x0 + h) - f(x0))/h

In our case, the function f(x) is given by f(x) = x^2 - 5, and the point x0 is -2, so we have:

f'(-2) = lim(h->0) (f(-2 + h) - f(-2))/h

Substituting the value of the function f(x) = x^2 - 5, we get:

f'(-2) = lim(h->0) (((-2 + h)^2 - 5) - ((-2)^2 - 5))/h

Simplifying the expression, we get:

f'(-2) = lim(h->0) (h^2 - 4h)/h

Since the limit is defined as h approaches 0, we can drop the h from the denominator since it will become insignificant in the limit:

f'(-2) = lim(h->0) (h^2 - 4h)

Now we can evaluate the limit as h approaches 0:

f'(-2) = lim(h->0) h^2 - 4h

In the limit, h^2 becomes 0, so we are left with:

f'(-2) = lim(h->0) - 4h

Since the limit is defined as h approaches 0, the value of the limit is simply -4 times 0, which is 0. Therefore, the slope of the tangent line is 0.

Now that we know the slope of the tangent line, we need to find a point on the line. We are told that the line passes through the point (-2, f(-2)) on the function f(x) = x^2 - 5. Substituting the value of the function, we get:

(-2, f(-2)) = (-2, (-2)^2 - 5) = (-2, -9)

So the point on the line is (-2, -9).

We now have the slope and a point on the line, so we can use the point-slope formula to find the equation of the line. Substituting the values into the point-slope formula, we get:

y - (-9) = 0(x - (-2))

Simplifying, we get:

y = -9

Therefore, the equation of the tangent line that passes through the point (-2, -9) with a slope of 0 is given by y = -9.

The vertex and range of y = |x + 1| + 3 will be (−1, 3); 3 ≤ y < ∞ respectively.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

You may get the vertex of y = |x + 1| + 3 as follows.

Where the absolute values are zeros are the vertex points of the absolute value function.

|x + 1| = 0

x + 1 = 0

x = -1

Substitute the value into an original function,

y = |-1 + 1| + 3

y= 0 + 3

y = 3

As a result, the vertex is at (-1, 3)

Remember that the domain is specified in the range of (-∞, ∞) while determining the range.

Given that |x + 1| ≥ 0 , (absolute value is always 0 or positive)

The result of adding 3 to the inequality's two sides is

|x + 1| + 3 ≥ 3

But since |x+1| + 3 is identical to f(x) = y, we have y = f(x) 3, which means that the range is specified for all values larger than 3.

So the range is 3 ≤ y < ∞

Thus,the vertex and range of y = |x + 1| + 3 will be (−1, 3); 3 ≤ y < ∞ respectively.

To Learn more about the function refer to:

https://brainly.com/question/5245372

#SPJ1

Answer:18/61 0r decimal form 0.20

Step-by-step explanation:

Multiply the width by the length:

14 • 16 = 224

Its area is 224.

Here is the two column proof:

     Statement                                        Reason                                              

Answer: x = 7

Step-by-step explanation:

15(x+2) = R because they are equal angles.

set 135 = 15(x=2) because they are opposite each other so they equal each other

[tex]\frac{135}{15} =\frac{15(x+2)}{15} \\9 = x+2\\x=7[/tex]

Answer:

7.62 units C

Answer:

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes:

x

=

0

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

Answer:

Yes it is true.............

Answer: 30%

Step-by-step explanation:

Answer: I believe it would be 55 but It would help if it says what kind of triangle it is.

Step-by-step explanation:

Answer:

The answer is 91°

Step-by-step explanation:

In any triangle, the sum of all angles is equal to 180°

So,

35° + 54° + x = 180°

x = 180 - 89

x = 91°

Thus, The third angle is 91°

Answer:

x = 56

y = 124

z = 56

Step-by-step explanation:

The 124° angle and y° are vertical angles. vertical angles are congruent. they have equal measures.

y = 124

Angles 124° and x° form a linear pair. Angles in a linear pair are supplementary. Their measures add to 180°.

124 + x = 180

x = 180 - 24

x = 56

Angles x° and z° are vertical angles.

z = x = 56

Answer:

x = 56

y = 124

z = 56

n+23=33 - This equation shows this relationship.

Let, one number be = n

another number is =23

The sum of two numbers is = 33

The sum is the result of adding two or more numbers in mathematics. It is an essential and valuable concept in mathematics. The numbers which are to be added are called addends.

In short, some can be defined as a way by which all things can be put together. We can show an equation of a sum horizontally or vertically.

Horizontal Addition :

     59+37=96

Vertical addition:

    59

   +37

   = 96

Therefore, the equation is:  n+23 =33

Read more about sum:

https://brainly.com/question/19583511

Answer:

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

From the picture we see this is a reflection across the y-axis.

From the coordinates we see all x-coordinates have changed to opposite and all y-coordinates remained as is.

The rule for such reflection is:

This is the option B.

Answer:

B) (x, y) → (–x, y)

Hope This Helps <33

--Jax

Answer: 5x= 25

Step-by-step explanation:

Answer:  The correct answer is A. 5x = 25

Step-by-step explanation:

Add the equations:

2x - 3y = -1

3x + 3y = 26

Add the like terms:

2x + 3x = 5x

3y + -3y = 0

26 + -1 = 25

The resulting equation:

5x = 25

Answer:

b. 0.08x + 20

Step-by-step explanation:

its B because the price goes up $40 every 500 KW's so

40 divided by 500 = 0.08

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).

We know that, slope of a line is Slope=(y2-y1)/(x2-x1)

= (100-60)/500

= 40/500

= 0.08

Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get

60=0.08(500)+c

60=40+c

c=20

Substitute m=0.08 and c=20 in y=mx+c, we get

y=0.08x+20

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201

#SPJ2

Answer:

the answer is  87!

Answer: 6561

Step-by-step explanation: 6+3=9

9^4 = 9*9*9*9 = 81 * 81 = 6561

∠COD=72°

what is angle?

When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolised by the character. The circularity or rotation of an angle is often measured in degrees and radians. Angles are a common occurrence in daily life. Angles are used by engineers and architects to create highways, structures, and sports venues.

Given:

Let, ∠AOB=a=42°

∠EOF=b=66°

∠AOF=c

∠COD=d

by angle sum property,

a+b+c=180°

42°+66°+c=180°

c=72°

c=d because alternate angles are same

therefore d=72°

hence proved.

To know about angle checkout https://brainly.com/question/28451077

#SPJ1

Answer:

120 degrees

Step-by-step explanation:

sum of all three angles of any triangle is 180

X+30+30=180

x+60=180

 -60. -60

x=120

Hopes this helps

cx + cy = a² + b² is the next step to prove the theorem.

Given,

The given Pythagorean theorem was created by Todd.

With leg lengths a and b and a hypotenuse length of c, he drew right

ΔABC. The hypotenuse was then drawn with altitude C Z.

He finds that the equations c/a=a/x and c/b=b/y. He then discovers that c x=a² and c y=b².

We have to find the next step to prove the theorem;

Here,

The next step is to add cx and cy

That is,

cx + cy = a² + b²

Then,

c(x + y) =  a² + b²

c² =  a² + b²

Therefore,

The next step to prove the theorem is cx + cy = a² + b²

Learn more about Pythagorean theorem here;

https://brainly.com/question/16451024

#SPJ4