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Anvisha [2.4K]
3 years ago
7

Bob is trying to decide between two cell phone plans. Plan A has no flat fee, but the user must pay $10 cents per minute on the

phone. Plan B requires a one-time fee of $20 but only requires a payment of $5 cents per minute on the phone. What is the minimum whole number of minutes Bob has to use the phone for to make Plan B the cheaper plan?
PLZ HELP ASAP
Thanks
Mathematics
2 answers:
kramer3 years ago
6 0

Let x be the number of minutes that Bob anticipates using. Plan A costs 10x cents, while Plan B costs 2000 + 5x cents. We therefore have the inequality

2000+5x < 10x

2000 < 5x

400 < x.

The smallest integer x such that 400 < x is 401. Therefore, Bob must use at least <u>401</u> minutes to make Plan B cheaper.

professor190 [17]3 years ago
4 0
$ per min is a rate. you multiple by minutes to get dollars.

A = 10x
B = 5x + 20

set them equal to find minutes, x.

10x = 5x + 20
10x - 5x = 20
5x = 20

x = 4
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Sauron [17]

Answer:

The answer is A. (x-6)(x-6)

Step-by-step explanation:

x^2 -12x + 36

x^2 - (6+6) x+36

x^2 - 6x - 6x + 36

x( x - 6) -6(x-6)

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3 years ago
2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

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3 years ago
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White raven [17]

Answer:

Step-by-step explanation:

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2 years ago
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max2010maxim [7]

Answer:

I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.

Step-by-step explanation:

The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)

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3 years ago
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Natalija [7]

Answer:

\boxed {\tt f(5)=101}

Step-by-step explanation:

We are given the function:

f(x)=18x+11

and asked to find f(5). Therefore, we must substitute 5 in for each x.

f(5)=18(5)+11

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 18 and 5.

f(5)=90+11

Add 90 and 11.

f(5)=101

f(5) is equal to 101.

5 0
3 years ago
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