Phil is planning a 1344-mile driving trip. His car gets an average of 23 mpg, and the cost of gas is about $2.09/gallon.

What is the approximate driving cost of the trip?

A) $120.30
B) $122.13
C) $144.90

Answer:

A

Step-by-step explanation:

TX=XZ=ZU=3

XU=XZ+ZU=3+3=6

Answer:

D. 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

G represents the set of people that use the gym.

P represents the set of people that use the swimming pool.

T represents the set of people that use the track.

Since 1 person uses the 3 facilities, it means that

Number of persons that use gym and pool only is 15 - 1 = 14

Number of persons that use pool and track only is 14 - 1 = 13

Number of persons that use gym and track only is 10 - 1 = 9

Number of persons that use gym only is

65 - (14 + 1 + 9) = 41

Number of persons that use pool only is

51 - (14 + 1 + 13) = 23

Number of persons that use track only is

44 - (9 + 1 + 13) = 21

N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that

41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130

122 + N = 130

N = 130 - 122

N = 8

Therefore, the probability that a person doesn't use any facilities is

8/130 = 0.062

 [tex]\frac{4}{65}[/tex] is the required probability.

A set is an unorganized well-defined collection of similar types of objects.

Eg : {1,2,3,4,5} or {Science, Maths, English}

Given:-

Total people (n) = 130

People using gym (G) = 65

People using swimming pool (P) = 51

People using track (T)  = 44

(Gym U pool) = 15

(pool U track) = 14

(Gym U track) = 10

(Gym U track U pool) = 1

Using venn diagram :

Total participating people are 41 + 23 + 21 + 14 + 9 + 13 + 1 = 122

since total people are 130, non participants are 130 - 122 = 8

Probability of an event = [tex]\frac{favourable}{total}[/tex] = [tex]\frac{8}{130} = \frac{4}{65}[/tex]

Thus, the probability that a random person doesn't uses any facility is [tex]\frac{4}{65}[/tex]

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Answer:

4

Step-by-step explanation:

x = 18/4.5

..............

Answer:

x = 4

Step-by-step explanation:

Well to get x by itself we do 18 divided by 4.5 which is 4.

So x =4

Answer:

The 96th term of the given AP is (-1048)

Step-by-step explanation:

We have, the given AP is :

-3, -14, -25....

First term is -3

Common difference is -14 - (-3)= -11

Let [tex]a_{96}[/tex] is the 96th term of the AP.

The nth term of the AP is given by :

[tex]a_n=a+(n-1)d[/tex]

Put all the values, such that,

[tex]a_{96}=(-3)+(96-1)\times (-11)\\\\a_{96}=-1048[/tex]

So, the 96th term of the given AP is (-1048).

Answer:

c and d

Step-by-step explanation:

4/8 = 1/2

a.1/2 =1/2 so it is not greater

b.1/4  <  1/2 = 2/4  so 4/8 is greater

c.7/8   > 4/8  so 7/8 is greater

d.3/5     3/5 = 6/10    1/2 = 5/10

                     3/5 >     4/8

Answer: 7/8 and 3/5

Step-by-step explanation:

First, let’s look at 4/8 and 1/2. They have different denominations so let’s change them. 2 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/2=4, so we have to multiply the numerator and denominator by 4 which makes it: 4/8. 4/8 and 4/8 are the same so they are equal.

Next, let’s look at 4/8 and 1/4. They have different denominations so let’s change them. 4 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/4=2, so we have to multiply the numerator and denominator by 2 which makes it: 2/8. 4/8 is greater than 2/8 so this would be a wrong answer.

Then, let’s look at 4/8 and 7/8. They have the same denominations so we don’t have to change them. Let’s look at the numerators though: 4 and 7. 7 is greater than 4 so this answer would be correct.

Finally, let’s look at 4/8 and 3/5. They have different denominations so let’s change them. 5 and 8’s closest multiple that they share is 40. 40/8=5, so we have to multiply the numerator and denominator by 5 which makes it 20/40. 40/5=8, so we have to multiply the numerator and denominator by 8 which makes it: 24/40. 24/40 is greater than 20/40, so this answer is correct.

Hope this helps!

Answer:

13) 6.25cm

Step-by-step explanation:

250% = 250/100 =2.5 times larger than before

multiply 2.5cm and 2.5 to get new size

2.5 x 2.5 = 6.25

Answer:

6.25 cm

Step-by-step explanation:

The original size is 2.5 cm

We increase it 250%

2.5 * 250%

Change to decimal form

2.5 * 2.50

6.25 cm

Answer:

Step-by-step explanation:

The Salsa jar has a cylindrical shape. We would determine the volume of Salsa that the jar normally contains and the volume left in the jar by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r = radius

π = 3.14

For normal volume,

h = 10 cm

r = 5 cm

Volume = π × 5 × 10 = 50π cm³

For volume left,

h = 4cm

Volume = π × 5 × 4 = 20πcm³

Missing volume = 50πcm³ - 20πcm³ = 30π cm³ = 30 × 3.14 = 94.2 cm³

Answer:

Step-by-step explanation:

32

Answer:

n=26

Step-by-step explanation:

an=a+(n-1)d

80=5+(n-1)3

80=5+3n-3

80-2=3n

78/3=n

n=26

Answer:

6.9

Step-by-step explanation:

Answer:

6.9

You have to convert it into a improper fraction,like 69/10 divide that and the decimal version will be 6.9. So just like put the 6 with the numerator(9) and make that new number divide the denominator (10).

Answer:

Step-by-step explanation:

The given function is

[tex]y=5x^{2} -20x+24[/tex]

Where [tex]a=5[/tex], [tex]b=-20[/tex] and [tex]c=24[/tex].

The vertex is at [tex](h,k)[/tex], which is defined as [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex]. So, replacing values, we have

[tex]h=-\frac{-20}{2(5)}=\frac{20}{10}=2[/tex]

Then, [tex]k=f(2)=5(2)^{2} -20(2)+24=5(4)-40+24=20-40+24=4[/tex]

So, the vertex is at [tex]V(2,4)[/tex].

Remember that the minium or maximum value of a quadratic function is defined by its vertex. In this case, it represents a minimum at (2,4).

Answer: the car is cheeper 20 miles better

Step-by-step explanation:

Answer:

Door 2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

door 2

Answer:

Step-by-step explanation:

22/7 * 21 = 66cm

65.9 cm

Step-by-step explanation:

The formula for the circumference of a circle is...

[tex]C=\pi d[/tex]

Since the problem asks to round to the nearest tenth, we know that we will convert pi to 3.14. We also know the diameter is 21, so we can put both of these in the formula.

[tex]C=3.14*21[/tex]

C = 65.940

Rounded to the nearest tenth...

C = 65.9 cm

Answer: C. (4, 1)

Step-by-step explanation:

Answer:

option A, the pen cost less than $0.35

I hope this is helpful :)

Answer:

A

Step-by-step explanation:

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Answer:

(7, -10)

(-1, 1)

(2, -7)

Step-by-step explanation:

Points that are in Quadrant II will have a negative x-value and a positive y-value. (-, +)

Points that are in Quadrant IV will have a positive x-value and a negative y-value. (+, -)

Answer:

The First one (7, -10)

The Third one (-1, 1)

The Last one (2, -7)

Step-by-step explanation:

Have a nice day!

Answer:

u = 2

Step-by-step explanation:

13 = 11+u

Subtract 11 from each side

13-11 = 11+u-11

2 = u

Answer:

u=2

Step-by-step explanation:

Given: 13=11+u

Subtract 11 from both sides: 13-11=11-11+u

2=u or u=2

Please can I have brainliest?

Answer: 3.4

Step-by-step explanation:

V=4/3•pi•(r)^3

164.636=4/3•pi•(r)^3

164.636/(4/3•pi)= 39.3…

39.3=(r)^3

*cubed root of both sides* r=3.399… so r=3.4

Answer:

acute triangle.

Step-by-step explanation:

an acute triangle  has all its angle less than 90°

Answer:

A = 49 ft^2

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side length

28 = 4s

Divide each side by 4

28/4 = 4s/4

7 =s

We want the area

A = s^2

A = 7^2

A = 49 ft^2

Answer:

2x + 1

Step-by-step explanation:

Well you can get side for the left shape is 2x

And the side for the right one is 1

Add them together: 2x + 1

Answer:

5c+2

Step-by-step explanation:

Not sure the steps

The formula for Douglas' winning percentage is 5c + 2.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Douglas and Jesse play video games together. Douglas won two more than five times the number of games that Jesse won.

Since "c" represents the number of games Jesse won

Number of games Douglas won = 5c + 2

Therefore, an expression for the number of games Douglas won is 5c + 2.

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Answer:

24.549 pounds

Step-by-step explanation:

It’s 1,860,480

Just trust me lol.

Answer: D

Step-by-step explanation:

a^2 +b^2 = c^2

[tex]3\sqrt{2}^2[/tex]= 18

3\sqrt{2}^2= 18

18 + 18 = 36

The square root of 36 is 6

Answer:

D no is correct ans

Step-by-step explanation:

using pythagoras thoerem h^2=p^2+b^2

and put the value P=3root 2 and b =3root2 and take out h

Answer:

The largest possible result she can get is 550

Step-by-step explanation:

Here we have that to find the largest possible result, the numbers from which the last number is subtracted from should be the largest possible, hence

Whereby, we had K × A × N + G × A - R × O × O, then;

K ------- 9

A---------8

N---------7

G---------6

A---------8

R---------2

O---------1

O---------1

will give, 504 + 48 - 2 = 550

If however, the A = 7 and N = 8 we have;

504 + 42 - 2 = 544

Hence, the largest possible result she can get = 550.

Answer:

The electrician charges an initial fee of $42

The electrician charges $22 for every hour worked

Step-by-step explanation:

From the formula, y = 22x + 42, $42 is a one-time fee and $22 depends on the hours the electrician works.

The only phrases that are true are:

Answer:

The electrician charges an initial fee of $42

The electrician charges $22 for every hour worked

Step-by-step explanation: