Divy and two of her friends planned to spend $120 each on gas for their road trip. Then, another friend decided to join them. If all friends re-divided the cost of gas equally among them, how much did each friend spend?
(A) $80
(B) $90
(C) $100
(D) $110
(E) $120

Answer:

8,000,000,000 text messages every month.

Step-by-step explanation:

[tex]8*10^9[/tex]

[tex]10^9[/tex] means there will be 9 zeroes at the end of 1. So it will be 1,000,000,000.

So 8* 1,000,000,000 will be 8,000,000,000 text messages every month.

Answer:

Three times the sum of a number and 2.

Step-by-step explanation:

Sum of a number and 2 = x + 2

3 times = 3 multiplied

Answer:

No

Step-by-step explanation:

They are different because the base are the same but the exponents are different.

Answer:

[tex]x = - \frac{1}{28} [/tex]

Step-by-step explanation:

is your answer

Answer:

-2

Number Line:

                   1   2  3  4  5                                                        

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Answer:

dude it is too easy bro -2 I don't really like math but the answer is -2 so goodluck

Step-by-step explanation:

-7+5=?

count but start from -7 instead like this

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

now we just count from -7  

-7 -6 -5 -4 -3 -2

how much five not subtract add you are going up this time so good luck

here a number line too.

                                              < -10 -9 -8 -7 -6 -5 -4 -3 -2 -1    0    1 2 3 4 5 6 7 8 9 10 >

Answer:

Yeah you can mark them brainlist but just saying you can always use math-ways i guess.

Bye have a nice day

Answer:

the present age of the father be x and the present age of the son be y.

It is given that man is 24 years older than his son that is:

x=y+24

x−y=24..........(1)

Also, 12 years ago, he was five times as old as his son that is:

(x−12)=5(y−12)

x−12=5y−60

x−5y=−60+12

x−5y=−48..........(2)

Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get

(x−x)+(−5y+y)=−24−48

i.e. −4y=−72

i.e. y=18

Substituting this value of y in (1), we get

x−18=24

i.e. x=24+18=42

Hence, the present age of the father is 42 years and the present age of the son is 18 years.

Step-by-step explanation:

Answer:

he is now 18

Step-by-step explanation:

2/3 so their are 3 parts but you have 2 for know so 12 by 2 is 6 and 6 times 3 is 18.

Answer:

C ≥ 8

the absolute value of the variable c is greater than or equal to 8

Step-by-step explanation:

Answer:

Anthon is wrong (il dit des carabistouilles)

Step-by-step explanation:

It is a question of angle.

[tex]\widehat{\gamma}=180^o-\dfrac{360^o}{5} =108^o\\\\\widehat{\beta}=180^o-108^o=72^o\ and\ not\ 60^o\\[/tex]

The exterior angle of the pentagon is not equal to the interior angle of the equilateral triangle. So, he is incorrect.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Anton has 4 tiles. One is a regular hexagon, one is a regular pentagon and two are equilateral triangles. Anton thinks the 4 tiles will fit together perfectly, as shown in the diagram.

The exterior angle of the hexagon is given as,

⇒ 360° / 6

⇒ 60°

The exterior angle of the pentagon is given as,

⇒ 360° / 5

⇒ 72°

And the internal angle of the triangle is given as,

⇒ 180° / 3

⇒ 60°

The exterior angle of the pentagon is not equal to the interior angle of the equilateral triangle. So, he is incorrect.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ2

Answer:

-3<y<3 The filled in dot means 3 is greater than or equal to.

Answer:

B. 7/20

Step-by-step explanation:

P(A | B) = P(A∩B) / P(B) is the formula for conditional probability

             = (7/40) / (1/2)

Copy dot flip

              = 7/40 * 2/1

              =7/20

Answer:

23

Step-by-step explanation:

hope this helps

Answer:

608 minutes.

Step-by-step explanation:

When you add 8.24 and 11.03 you get 19.27 this number then needs to be multiplied by 32 which leaves us with 616.64. The question asks on average how many minutes James traveled, so I would round to the nearest number which would be 608.

I hope this helped lol

Answer:

1. 9.576

2. 17.442

3. 45.29

4. 79.294

5. 30.736

6. 30.8

7. 31.5

8. 25.85

9. 53.29

10. 49.184

11. 15.18

12. 15.573

13. 17.075

14. 74.06

15. 9.01

Step-by-step explanation:

Use a multiplication method to find the answers. I would put it up here but i dont know how.

Answer:

-13/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-7-6/4-(-6)

-13/10

Best of Luck!

Answer:

5)102,78

6)56,56

See THE IMAGE FOR SOLUTION

Answer:

78° and 65°

Step-by-step explanation:

(5)

The 2 angles lie on a straight line and sum to 180° , that is

x + 84 + x + 108 = 180

2x + 192 = 180 ( subtract 192 from both sides )

2x = - 12 ( divide both sides by 2 )

x = - 6

Then

x + 84 = - 6 + 84 = 78°

(6)

the angle opposite 8x is 9x - 7 ( corresponding to the 9x - 7 )

So 8x and 9x - 7are vertical angles and congruent

9x - 7 = 8x ( subtract 8x from both sides )

x - 7 = 0 ( add 7 to both sides )

x = 7

Then

9x - 7 = 9(7) - 7 = 63 - 7 = 56°

Probabilities are used to determine how likely it is for an event to happen.

(1) A roll of two dice

Let the dice be A and B. The sample space of each is:

[tex]A = \{1,2,3,4,5,6\}\\B = \{1,2,3,4,5,6\}[/tex]

To get the sample space (S) of the sum of the dice, we simply add up the individual element of both dice. So, we have:

[tex]S = \{(1+1),(1+2),(1+3),(1+4),(1+5),(1+6),.............,(6+1),(6+2),(6+3),(6+4),(6+5),(6+6)\}[/tex]

This gives

[tex]S = \{2,3,4,5,6,7,.............,7,8,9,10,11,12\}[/tex]

The complete sample space is:

[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12\}[/tex]

[tex]n(S) = 36[/tex] --- the total outcomes

The probability of rolling a sum of 7 is:

[tex]P(7) = \frac{n(7)}{n(S)}[/tex]

Where

[tex]n(7) = 6[/tex] ---- number of 7's in the sample space

So, we have:

[tex]P(7) = \frac 6{36}[/tex]

[tex]P(7) = 0.167[/tex]

The probability of rolling a sum of 7 is 0.167

(2) Restaurant

We have:

[tex]Soup = \{A,B,C,D\}[/tex]

[tex]Salads = \{1,2,3\}[/tex]

To get the sample space (S), we simply pick the individual elements of the above data. So, we have:

[tex]S = \{A1, A2, A3,B1, B2, B3,C1, C2, C3,D1, D2, D3\}[/tex]

(3) Disjoint events

Events are said to be disjointed if they cannot happen at the same time. 3 examples are:

(4) Bob and Sarah

Let

[tex]A \to[/tex] Bob gets to work on time

[tex]B \to[/tex] Sarah gets to work on time

[tex]P(A) = 80\% \\ P(B) = 90\%\\P(A\ n\ B) = 72\%[/tex]

The probability that Bob OR Sarah is late for work is represented as:

[tex]P(A'\ or\ B')[/tex]

This is calculated using:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

Where:

[tex]P(A') = 1 - P(A) = 1 - 80\% = 20\%[/tex]

[tex]P(B') = 1 -P(B) = 1 - 90\% =10\%[/tex]

[tex]P(A\ n\ B') = P(A) \times P(B') = 20\% \times 10\% = 2\%[/tex]

So, we have:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

[tex]P(A'\ or\ B') = 20\% + 10\% - 2\%[/tex]

[tex]P(A'\ or\ B') = 28\%[/tex]

[tex]P(A'\ or\ B') = 0.28[/tex]

The probability that Bob OR Sarah is late for work is 0.28

(5) Jake's Pizza

Let

[tex]A \to[/tex] The proportion of time they deliver on time

[tex]B \to[/tex] You get your pizza for free

So:

[tex]P(A) = 92\%[/tex]

You get your pizza for free if they didn't deliver within 30 minutes.

This means that:

[tex]P(B) = 1 - P(A)[/tex] --- Complement rule

So, we have:

[tex]P(B) = 1 - 92\%[/tex]

[tex]P(B) = 0.08[/tex]

The probability that you get your pizza for free is 0.08.

(6) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

So:

[tex]P(A) = 54\%[/tex]

If all 3 selected students like soccer, the probability is calculated as:

[tex]Pr = P(A) \times P(A) \times P(A)[/tex]

[tex]Pr = P(A)^3[/tex]

[tex]Pr = 54\%^3[/tex]

[tex]Pr = 0.157[/tex]

The probability that all 3 selected students like soccer is 0.157

(7) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

[tex]B \to[/tex] Probability that a student does not like soccer

So:

[tex]P(A) = 54\%[/tex]

[tex]P(B)= 1 - P(A)= 1 - 54\% = 46\%[/tex] ---- Complement rule

If all 4 selected students do not like soccer, the probability is calculated as:

[tex]Pr = P(B) \times P(B) \times P(B) \times P(B)[/tex]

[tex]Pr = P(B)^4[/tex]

[tex]Pr = 46\%^4[/tex]

[tex]Pr = 0.045[/tex]

The probability that all 4 selected students do not like soccer is 0.045

(8) Marbles

[tex]Blue = 6 \\ Green = 4 \\ Red = 5[/tex]

When the green marble is selected, we are left with

[tex]Blue = 6 \\ Green = 3 \\ Red = 5[/tex]

The probability of selecting a red marble at this point is:

[tex]P(Red) = \frac{Red}{Blue + Green + Red}[/tex]

[tex]P(Red) = \frac{5}{6+3+5}[/tex]

[tex]P(Red) = \frac{5}{14}[/tex]

[tex]P(Red) = 0.357[/tex]

The probability that the next marble you draw is red is 0.357

(9) Studying for test

Let

[tex]A \to[/tex] Students got an A

[tex]B \to[/tex] Students studied for test

So:

[tex]P(A\ n\ B) = 60\% \\ P(B) = 75\%[/tex]

The probability that a student got an A given that they studied for the test is  represented as:

[tex]P(A | B)[/tex]

So, we have:

[tex]P(A | B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

[tex]P(A | B) = \frac{60\%}{75\%}[/tex]

[tex]P(A | B) = 0.80[/tex]

The probability that a student got an A given that they studied for the test is  0.80

Read more about probabilities at:

https://brainly.com/question/16693319

Coordinates of B is [tex](\frac{4}{11} ,\frac{13}{11} )[/tex] that divides AC five-sixths of the way from A to C

Given :

AC with A(4.-7) and C(-4, 11), if point B divides AC five-sixths of

the way from A to C

From the given information , B divides AC internally in the ratio of AB to BC is 5:6

Lets apply section formula to find coordinates of B

[tex](\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )[/tex]

m:n is the ratio 5:6

A is (x1,y1) that is (4,-7)

B is (x2,y2) that is (-4,11)

Substitute the values inside the formula

[tex](\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )\\(\frac{(5)(-4)+6(4)}{5+6} ,\frac{5(11)+6(-7)}{5+6} )\\(\frac{4}{11} ,\frac{13}{11} )[/tex]

Coordinates of B is [tex](\frac{4}{11} ,\frac{13}{11} )[/tex]

Learn more:  brainly.com/question/22493969

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

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

Now focus your attention on triangle THS

We see that the interior angles are

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

6 to 12 months so the answer is 12

Answer:

[tex]f(x)=3x^{2} -40fx[/tex] i think

Step-by-step explanation: