WORTH 100 POINTS!

Gerry and Tony live 11 miles apart. Gerry leaves his home at 2:00 PM and bikes toward Tony's house at 25 miles/hour. At the same time, Tony leaves his home and bikes toward Gerry's house at 30 miles/hour. They wave as they pass each other. As soon as each boy reaches the others' home, they turn back around towards their own homes. This time, they stop when they see each other. How far are they from Gerry's home when they stop?

Please write an equation or more than one equation using Distance=Rate*Time.

Answer:

gsgsbsbsbs

Step-by-step explanation:

yewhsgshdhhssjbs

The prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].

It is required to find the prime factorization of 72.

Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.

Given that:

The prime factorization for 72 is

=2×2×2×3×3 .

=[tex]2^{3} *3^{2}[/tex]

Hence,  the prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].

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Solution :

According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.

Now this is considered as a joint event. This is because the above statement consists of two events.

1. Video games are sold in the United States.

2. Women purchased video games.

The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.

Answer:

C. 4/9 = 8/18

Step-by-step explanation:

The anwser is -415

hope this helped!

Answer: its

12 4

_

7

Step-by-step explanation:

Answer:

12 4/7

Step-by-step explanation:

5 1/7 + 7 3/7 =

= 5 + 1/7 + 7 + 3/7

= 5 + 7 + 1/7 + 3/7

= 12 4/7

Answer: 12 4/7

Answer:

Step-by-step explanation:

Devon's sister is incorrect.

Note 6 drinks thats cost $2.99

2.99 divided by 6 is $0.50

Thus each drink is approx. $0.50

She would find it if she divided total number of drinks by the total price

Answer:

n [tex]\geq[/tex] -28

Step-by-step explanation:

Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.

Answer: 6/7

Step-by-step explanation: So 3/7 divided by 4/8. You can simplify 4/8 to 1/2. So then it would be 3/7 times 2/1. The answer would be 6/7

Answer:

cost of jacket 55

sales tax 2/

55/ 2 percent × 100

2,750

Answer:

25.4

Step-by-step explanation:

1/3 ( 2.55+.75) +3* 8.1

Using pemdas, parentheses first

1/3 ( 3.3) +3* 8.1

Then multiply

1.1 + 24.3

Then add

25.4

Answer:

Liz

Step-by-step explanation:

liz types more words per min.

Answer:

12:15 PM

Step-by-step explanation:

Answer:

27:9

Step-by-step explanation:

Answer:

33

helpStep-by-step explanation:

Step-by-step explanation:

From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.

The solution is attached below. The answer is 8192

The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is given by

A = 4 , 8 , 16 , ..

Now , the geometric progression is given by the formula

aₙ = arⁿ⁻¹

where aₙ is the nth term of the sequence

a is the first term

r is the common ratio

n is the number of terms

Now , the common ratio r can be found out by

Common ratio r = second term / first term

Substituting the values in the equation , we get

Common ratio r = 8 / 4

Common ratio r = 2

Now , substituting the value in the equation , we get

The 12th term of the geometric progression is

a₁₂ = arⁿ⁻¹

The value of a₁₂ = 4 ( 2 ) ¹²⁻¹

The value of a₁₂ = 4 ( 2 )¹¹

The value of a₁₂ = 4 x 2048

The value of a₁₂ = 8192

Therefore , the value of a₁₂ is 8192

Hence , The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192

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Answer:

$3.50 for 1 book

Step-by-step explanation:

$21/6 = $7/2 = $3.50

Answer: $3.50 for 1 book

Answer:

a. 3/8

b. 11/3

Step-by-step explanation:

a. For this, we need to use a fraction to compare how many of each marble there are. 3 blue to 8 red. The ratio is 3 to 8 or 3/8

b. Now we have to compare how many all the marbles in the bag to just the blue marbles. All the marbles: 8+3=11, blue marbles: 3. So the ratio is 11 to 3 or 11/3

a) The ratio of blue marbles to red marbles: 3/8.

b) The ratio of all marbles to blue marbles: 11/3.

(a) To find the ratio of blue marbles to red marbles, divide the number of blue marbles by the number of red marbles.

Blue marbles: 3

Red marbles: 8

So, the ratio is 3/8

(b) To find the ratio of all marbles in the bag to blue marbles, divide the total number of marbles by the number of blue marbles.

Total marbles = 8 + 3

                       = 11

So, the ratio is 11/3.

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Answer:

Whole Wheat bread, meatball marinara, toasted bread, lettuce, and parmesan

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

its where the point intersects which is (4,2)

Answer:

Step-by-step explanation:

$4.75+1+$8.20= $13.95

$20.00 - $13.95 = $6.05

Answer:

$6.05

Step-by-step explanation:

candy - $4.75

soda - $1

ticket - $8.20

4.75 + 1 + 8.20

$13.95

bill - $20

20 - 13.95

$6.05

Answer:

0.7

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

Answer:

$2.85 per person

Step-by-step explanation:

$191.10 * 0.15 = $28.665 tip

total tip divide by 10 people

$28.665/10 = $2.85

Each person has to contribute $2.85 amount for the tip.

Given,

Total no. of person go out for dinner = carrie + her nine friends

                                                             = 1+9 = 10

Amount of the bill is = $191.10

Amount of tip is = 15% of the bill

                           = [tex]\frac{15 }{100}[/tex] × $  191.10

                           = 28.665

Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]

=$ 2.85

Each person contribute $2.85 amount for the tip.

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Answer:

w = 4028

Step-by-step explanation:

Solve for y

[tex]y+1 = 2015[/tex]

[tex]y=2014[/tex]

Substitute 2014 for y then solve for w

[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]

[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]

[tex]w=4028[/tex]

Therefore, w must be 4028