A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.

For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$

Answer:

Step-by-step explanation:

Balls

Options of getting 3 balls

Probability P(n) in each option

1. WBB

P(n) =

2. BWB

P(n) =

3. BBW

P(n) =

Final equation is same for each case:

The easy way to find the maximum is to try the numbers or graph.

Both of the methods give the maximum integer n = 11 or n = 12

See attached graph

At both values n we get P(n):

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

Answer:

£18,225

Step-by-step explanation:

2.5% of £16,200 = £405

10% of £16,200 = £1,620

5% of £16,200 = £810

5 years: 16,200 + 5 x 405 = £18,225

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

Answer:

The sum of the legs is equal to the hypotenuse.

Step-by-step explanation:

I hope that this helps u..

Answer:

The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).

Answer:

Store number 1 has the best discount.

Step-by-step explanation:

Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.

Answer: she has 15 dimes and 45 pennies.

Step-by-step explanation:

01p+1d=1.95

p=3d

01(3d)+.1d=1.95

p=3.15

03d+.1d=1.95

p=45

.13d=1.95

d=15

Answer:

(6,0)

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Q11

Triangle is 45° and therefore isosceles

Q12

Q13

Q14

Q15

Q16

Answer:

she watching u

Step-by-step explanation:

Answer:

y-4=–911(x+8)

please mark as brainliest

Answer:y-4=–911(x+8)

Step-by-step explanation:

This is the correct answer i do k12

Answer:

a. decrease

b. recklessly

c. increase

Step-by-step explanation:

Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.

Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents

Answer:

#8 --->      1/4  2/5  1/2  3/5  

#9 --->      6 3/8    6 1/2   6 3/4   6 5/6

#10 --->    1.75 feet is the longest

the other lengths are 1.58 ft. and 1.67 ft.

Step-by-step explanation:

good luck!

it's easy if you turn them into decimals.

to do that, you just divide the numerator (top number) by the denominator (bottom number).

e.i.   1/4= .25  (25%)

       1/2= .5   (50%)

       3/5= .6    (60%)

Answer:

8. 1/4, 2/5, 1/2, 3/5

9. 6 3/8, 6 1/2, 6 3/4, 6 5/6

10. the length of the longest bar is 1.75 feet

Step-by-step explanation:

(just convert all the fractions to decimal, it will be easier for you to do!)

8.

3/5 = 0.6

1/4 = 0.25

1/2 = 0.5

2/5 = 0.4

9.

6 3/4 = 6.75

6 1/2 = 6.5

6 5/6 = 6.83

6 3/8 = 6.375

10.

1 7/12 = 1.583

1 2/3 = 1.6 or 1.7

Answer:

No

Step-by-step explanation:

Given that:

Amount saved = $300

Monthly data cost = $29.95

Number of monthly data that can be done from saving :

= amount saved / monthly data cost

= $300 / $29.95

= 10.016694

Hence, saving can only last for 10 months of data subscription.

Hence it can't last till September 1, if the following year, which is about 12 months

Answer:

n=4 x=4

Step-by-step explanation:

3-5 = -2

12-20 = -8

find their what they have in common = 4

12·4= 48

3·4= 12

rearrange = 48-20 = n (12-5)

we should end up with 28 = n · 7

now we just need to figure out what ? · 7 = 28 which is 4

n = 4

I'm not sure if I did this correctly but I hope it helps

Step-by-step explanation:

Area of Glass surface

= Area of Parallelogram - Area of Rectangle

= (20in * 16in) - (4in * 16in)

= 256in².

Hence it is 256 square inches.

P.S. Question photo got changed, ignore this.

Answer: The area of the figure is 32 square

plz mark brainly

Answer:

-0.1

Step-by-step explanation:

Answer:

The answer to the question provided is:

[tex] - \frac{1}{10} [/tex]

Answer:

Step-by-step explanation:

Points to remember while solving a system of linear equations,

1). If the equations have same slope, solution of the system will have no solution.

2). If both the equations are same, system will have infinitely many solutions.

3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.

Question 11,

ax + 4y = 10 ------ (1)

-9x - 6y = -15

-3x - 2y = -5

-6x - 4y = -10

6x + 4y = 10 -------(2)

For infinitely many solutions,

Coefficients of variables will be same.

a = 6 will be the answer.

Option B is the correct option.

Question 12,

[tex]y=-\frac{3}{2}x+4[/tex] ---------(1)

[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)

Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.

System will have NO SOLUTION.

Question 13,

x + 3y = 6 ------- (1)

6x + 18y = 36

x + 3y = 6 -------- (2)

Both the equations are same.

Therefore, system of the equations will have infinitely many solutions.

2x - 3y = -3 ------(1)

4x + 6y = 18

2x + 3y = 9 -------(2)

Coefficients of the variables are different, therefore, one solution.

3x + 2y = 6 -------(1)

6x - 4y = 24

3x - 2y = 12 -------(2)

One solution.

8x - 10y = 6

4x - 5y = 3 -------(1)

-4x + 5y = 3

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

One solution.

4x + 10y = 16

2x + 5y = 8 --------(1)

10x + 25y = 40

2x + 5y = 8 --------(2)

Infinitely many solutions.

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

Answer:

the ratio is 12:8 boys to girls

Step-by-step explanation:

if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls

Answer:

32

Step-by-step explanation:

We can either add all the terms.

2+6=8

2,8

8+6=14

2,8,14

14+6=20

2,8,14,20

20+6=6

2,8,14,20,26

26+6=32

2,8,14,20,26,32

The Sixth term is 32

or We can multiply 6 times 5 (30) and add 2, which would give us 32.

The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).

Answer:

56cm2

Step-by-step explanation:

1÷3×4×6×7

=56cm2

Answer:

4 2/3

Step-by-step explanation:

hope this helps

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

Learn more about Algebraic expressions :

https://brainly.com/question/395066

#SPJ2

Answer:

The miles travelled is the independent variable.

The cost is the dependent variable.

Step-by-step explanation:

hope this helps ;)

Answer:

D :)

Step-by-step explanation: