You are looking for a new cell phone plan. The first company, Cellular-Tastic (f), charges a monthly fee of $35 and $0.11 per minute of use. Dirt-Cheap Cell (g) charges a monthly fee of $55 and $0.01 per minute of use.
a. How many minutes would you need to use for the cell phones to cost the same amount?
b. Create a graph to model this situation and describe the graph in writing in the space provided. Include the general shape and any intersections or intercepts.
c. Using your graph, explain when each company would be a better option.

Given:

Initial speed of typing = 35 words per minute

At the end of the course her typing speed = 77 words per minute

To find:

The percent of increase in her typing rate.

Solution:

We know that,

[tex]\text{Percent of increase in her typing rate}=\dfrac{\text{New speed - initial speed}}{\text{Initial speed}}\times 100[/tex]

[tex]\text{Percent of increase in her typing rate}=\dfrac{77-35}{35}\times 100[/tex]

[tex]\text{Percent of increase in her typing rate}=\dfrac{42}{35}\times 100[/tex]

[tex]\text{Percent of increase in her typing rate}=120\%[/tex]

Therefore, her typing rate is increased by 120%.

Step-by-step explanation:

A ={1,2,3,4,6,12}

B={4,6,8,10

[tex]A \cup B=[/tex]{1,2,3,4,6,8,10,12}

Answer: 112

Step-by-step explanation:

560/5

Answer:

No, there is no enough flour for each of his friends to get a cupcake

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ This recipe makes 2[tex]\frac{1}{2}[/tex] dozen cupcakes

∵ Each dozen contain 12 cupcakes

∴ The number of cupcakes can the recipe make = 2[tex]\frac{1}{2}[/tex]  × 12

∴ The number of cupcakes can the recipe make = 30 cupcakes

∵ The recipe calls for 3[tex]\frac{1}{3}[/tex] cups of flour

→ That means 3[tex]\frac{1}{3}[/tex] cups of flour can make 30 cupcakes

∴ 3[tex]\frac{1}{3}[/tex] cups of flour makes 30 cupcakes

∵ Anthony’s mother has only 1 cup of flour

→ By using the ratio method

→  flour  :  cupcake

→  3[tex]\frac{1}{3}[/tex]      :  30

→   1       :   x

→ By using cross multiplication

∵ 3[tex]\frac{1}{3}[/tex] × x = 1 × 30

∴ 3[tex]\frac{1}{3}[/tex] x = 30

→ Divide both sides by 3[tex]\frac{1}{3}[/tex]

∴ x = 9

∵ x represents the number of cupcakes  

∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour

∵ Anthony has 12 friends at his daycare

∵ The number of the cupcakes = 9

∴ The number of cupcakes is not enough for each of his friends to

   get a cupcake

Answer:

what are you doing

Step-by-step explanation:

Answer:

What are you suppose to be finding? I am confused finding the value of x??

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The constant of proportionality is 3

Step-by-step explanation:

Use equation y=kx where k is constant of proportionality.

y/x is it. so 12/4=3

3

Answer: c) perpendicular

Perpendicular slopes always multiply to -1. This is assuming neither line is vertical.

it's the third one, slope -1 y intercept 3

Answer:

4

Step-by-step explanation:

12x>48 so divide 48 by 12 to solve for x so x is 4

Answer:

P=160+6x

Q=x+40

H=4x-5

P+Q+H=180...P=61.82

Answer:

The answer is letter D.

If we solve the given function when the functions are f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex] then we will be able to find it equal to 12x.

A function is a relation in which each element of x is having a value in the y element. It is written in the form of f(x).

f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex]

(f.g)x=f(x)*g(x)

=[tex]\sqrt{6x} *\sqrt{24x}[/tex]

=[tex]\sqrt{6x}*2\sqrt{6x}[/tex]

=2*6x

=12x

Hence the value of (f.g)x is 12x.

Learn more about functions at https://brainly.com/question/25638609

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Answer:

m = 2

Step-by-step explanation:

Answer:

The reason why it helps to have a plan of proof before writing the proof is that the proof plan is the collection of recollected knowledge about the question that will ensure that the required proof is achieved

The proof plan is equivalent to a  virtual construction, consisting of the required parts and how the parts fit together, that obeys or satisfies the actual conditions when the written, step by step on paper

Without a proof plan, the required parts of the proof and therefore how the parts will fit to provide the proof will be absent as well as the non required parts written down to provide a proof without a plan can be confounding

Step-by-step explanation:

Answer:

the first one is 185 over 24 in the exact form

Step-by-step explanation:

Work Shown:

[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]

In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.

Answer:

35 cents per apple

Step-by-step explanation:

its 7 / 20 and you get 0.35

Answer:

f(c) = 5 + 0.75m

Step-by-step explanation:

f(c) = 5 + 0.75(m)

where "c" is cost;

and "m" is distance in miles

The answers would be z + w = -2 + 3i, z - w = 4 - 7i, and w - z = 4 + 7i after adding and subtracting two complex numbers.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that:

The complex numbers are:

z = 1 - 2i and w = -3 + 5i

z + w = 1 - 2i - 3 + 5i

z + w = -2 + 3i

z - w = 1 - 2i + 3 - 5i

z - w = 4 - 7i

w - z = 4 + 7i

Thus, the answers would be z + w = -2 + 3i, z - w = 4 - 7i, and w - z = 4 + 7i after adding and subtracting two complex numbers.

Learn more about the complex number here:

brainly.com/question/10251853

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Answer:

3

4

7

Step-by-step explanation:

got it right on edge

Answer: 20

Step-by-step explanation:

From the question, to make the punch recipe, the following are needed:

Ginger Ale - 40%

Orange Juice - 25%

Pineapple juice - 20%

Sorbet - 15%

Since we are told that Elise doesn't like sorbit, so she omits that ingredient and adds 5 percent to each of the other ingredients. The the new percent will be:

Ginger Ale - 40% + 5% = 45%

Orange Juice - 25% + 5% = 30%

Pineapple juice - 20% + 5% = 25%

Sorbet - 15% - 15% = 0

To get the total cups of punch that'll be used, let it be represented by y. Therefore,

30% of y = 6

30/100 × y = 6

0.3 × y = 6

0.3y = 6

y = 6/0.3

y = 20

Therefore, she'll have 20 cups of punch.

Answer:

35.60

Step-by-step explanation:

Multiply the original price $89 times the mark down percentage 60%

You get 53.40, then subtract it from 89.

Answer:

She paid $35.60 for the jacket.

Step-by-step explanation:

Answer:

16.16.16

Step-by-step explanation:

please let me know if I'm wrong

but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16

Answer:

Step-by-step explanation:

The slope is the change of y over the change of x.

the change of y:77-22=55

the change of x:49-14=35

55/35 simplified is 11/7

Here's a graph of the line segments connected on desmos:

your question does say to graph a line though, so add arrows instead of dots in my screenshots shown

Answer: Um, –28?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4.00 divided by 1.00 = 4

Step-by-step explanation:

so sorry

don't know but please mark me as brainliest please