A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.

Answers

Answer 1

Both plans cost the same when 50 texts are sent

Step-by-step explanation:

Let

x ---->the number of texts

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value

we have that

Emilia’s plan (Red line)

The slope is

The y-intercept is

substitute

----> equation A

Hiroto’s plan (Blue line)

The slope is

The y-intercept is

substitute

----> equation B

The solution of the system of equations A and B is the point of intersection both graphs

The intersection point is given

The intersection point is (50,22.5)

That means----> For x=50 texts, the cost is equal in both plans

Verify each statement

case a) Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent

The statement is false

Because

Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent

Verify

For x=100 texts ----> 100 > 50

Emilia's plans

Hiroto's plans

case b) Both plans cost the same when 22 texts are sent

The statement is false

Because

Both plans cost the same when 50 texts are sent

case c) Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.

The statement is false

Because

Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent

case d) Both plans cost the same when 50 texts are sent

The statement is true

Answer 2

Answer:

Both plans cost the same when 50 texts are sent.

Step-by-step explanation: Took test edge 2020: D


Related Questions

Please someone I need a clear answer for this question

Answers

Answer:

I think it is a function

Step-by-step explanation:

Answer:

It is NOT a function.

Each input is paired with EXACTLY ONE output.

plz help! what is the end of behavior of f(x)?

Answers

Answer:

B

Step-by-step explanation:

The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.

Let's take a look at each end.

As x approaches negative infinity:

As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards.

Therefore, as [tex]x\rightarrow-\infty[/tex], our function f(x) is increasing and increasing up towards positive infinity.

Therefore, the end behavior at the left will be:

[tex]\text{As } x\rightarrow-\infty, f(x)\rightarrow\infty[/tex]

As x approaches (positive) infinity:

As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards.

Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) also approaches positive infinity.

Therefore, the end behavior at the right will be:

[tex]\text{As } x\rightarrow \infty, f(x)\rightarrow \infty[/tex]

Therefore, our answer is B.

The weekly budget for a youth club is $22 000
The youth club plan to spend 27% of the budget
on a sports programme.
How much money is this?​

Answers

Answer:

$5,940

Step-by-step explanation:

x/22 000 = 27/100

(part/whole)=(%/100)

(x)(100)=(22)(22 000)

Butterfly Method

100x=594 000

Divide by 100 on both sides to get x

x=5940

i 4x + 1 = 42
Solve for the x

Answers

Answer:

10.25

Step-by-step explanation:

4x+1=42

42-1=41

4x=41/4

x=10.25

Answer:

41/4 or 10.25

Step-by-step explanation:

4x=42‒1

4x=41

4x/4=41/4

x=10.25

i think it is easy &it helps you

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

81°

Step-by-step explanation:

Both are vertical to one another. Vertical angles usually have the same degree.

Answer:

81 degrees

Step-by-step explanation:

because the two lines are straight, and we know that the angles opposite to each other are identical, and since FHC is equal to EHD, its size must also be equal.

1. Sam bought a soft drink for four dollars and six candy bars. He spent a total of twenty-two
dollars. How much did each candy bar cost?

Answers

22 minus 4 is 18

18 divided by 6 is 3

each candy bar sam bought was $3

Sam bought a candy for 3 dollars.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

Sam bought a soft drink for four dollars and six candy bars.

And, He spent a total of 22 dollars.

Let the cost of each candy = x

So, We can formulate by the given condition,

⇒ $4 + 6x = $22

⇒ 4 + 6x = 22

⇒ 6x = 22 - 4

⇒ 6x = 18

⇒ x = $3

Learn more about the linear expression visit:

https://brainly.com/question/4074386

#SPJ2

In computer technology, a kilobyte is 2^10 bytes in size. A gigabyte is 2^30 bytes in size. The size of a terabyte is the product of the size of a kilobyte and the size of a gigabyte. What is the size of a terabyte?

Answers

Answer:

The type of a terabyte is 2⁴⁰

Step-by-step explanation:

Given in the question ;

A kilobyte is 2¹⁰ bytes in size.

A gigabyte is 2³⁰ bytes in size.

The size of a terabyte is the product of the two given above.

Apply the laws of indices where you perform product and the base is the same, you add the powers and maintain the base as;

=2¹⁰ ₓ 2³⁰ = 2⁽¹⁰⁺³⁰⁾

=2⁴⁰

One of the legs of a right triangle measures 13 cm and its hypotenuse measures 18 cm. Find the measure of the other leg

Answers

Answer: sqrt(155)

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!
Explain what “negative linear” means.

Answers

Answer:

If the slope is negative, then there is a negative linear relationship, as one increases the other variable or unknown "number" or wtvr you want to call it decreases. Sorry if this doesnt help im not too good at math.

Step-by-step explanation:

Solve the equation
2x2+8x -1 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Answers

Answer:

x ≈ - 4.12 , x ≈ 0.12

Step-by-step explanation:

2x² + 8x - 1 = 0 ( add 1 to both sides )

2x² + 8x = 1 ( factor out 2 from the first two terms )

2(x² + 4x) = 1

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 4x

2(x² + 2(2)x + 4 - 4) = 1

2(x + 2)² - 8 = 1 ( add 8 to both sides )

2(x + 2)² = 9 ( divide both sides by 2 )

(x + 2)² = [tex]\frac{9}{2}[/tex] ( take square root of both sides )

x + 2 = ± [tex]\sqrt{\frac{9}{2} }[/tex] = ± [tex]\frac{3}{\sqrt{2} }[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\frac{3}{\sqrt{2} }[/tex]

Then

x = - 2 - [tex]\frac{3}{\sqrt{2} }[/tex] ≈ - 4.12 ( to 2 dec. places )

x = - 2 + [tex]\frac{3}{\sqrt{2} }[/tex] ≈ 0.12 ( to 2 dec. places )

17 is a prime number. What can you conclude from this?
AIt can be divided evenly by 2 incorrect answer
BIt can't be used as the denominator of a fraction incorrect answer
CIt can't be multiplied by any other number incorrect answer
DIts only factors are 1 and itself incorrect answer

Answers

Answer: Choice D

Its only factors are 1 and itself

Explanation:

There's not much more to mention since choice D perfectly describes what it means to be prime.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ...

There are infinitely many prime numbers.

The answer is D. 17 is a prime number. Its only factors are 1 and itself

18 Which expression is a factored form of 2x2 - 25x + 63?
O (X+9)(2x+7)
O (X - 9)(2x - 7)
O (X+7)(2X+9)
O (X - 7)(2x - 9)

Answers

The expression which represent the factored form of 2x² - 25x + 63 is (x - 9)(2x - 7)

How to factorise an expression

2x² - 25x + 63

check all that apply

O (X+9)(2x+7)

= 2x² + 7x + 18x + 63

= 2x² + 25x + 63

False

O (X - 9)(2x - 7)

= 2x² - 7x - 18x + 63

= 2x² - 25x + 63

True

O (X+7)(2X+9)

= 2x² + 9x + 14x + 63

= 2x² + 23x + 63

False

O (X - 7)(2x - 9)

= 2x² - 9x - 14x + 63

= 2x2 - 23x + 63

False

Learn more about factorization:

https://brainly.com/question/723406

What is the GCF of 6n-8

Answers

Answer:

GCF = 2

Step-by-step explanation:

6n - 8

consider factors of 6 and 8

factors of 6 are 1, 2, 3, 6

factors of 8 are 1, 2, 4, 8

the GCF is 2

\

Answer: 2 is correct

Step-by-step explanation:

HELP!!! WILL MARK BRAINLIST!!!! AND A 5 STAR REVIEW!!! AND A THANKS

Answers

Answer:

How do you multiply 18 by 5/6? Here we will show you step-by-step how to solve 18 times 5/6, which can be written as follows:

18

 x    

5

6

Step 1: Setup

First of all, note that 18 is the same as 18/1 since 18 divided by 1 is 18. Therefore, start by setting up the problem like this:

18

1

 x    

5

6

Step 2: Multiply

Multiply the numerators together (18 x 5 = 90) and multiply the denominators together (1 x 6 = 6) and make it into one fraction like so:

90

6

Step 3: Minimize

The greatest common factor of 90 and 6 is 6. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:

15

1

Step 4: Convert

Convert the improper fraction above to a whole number to get the answer:

15

That's it! Now you know how to calculate 18 times 5/6.

Answer:

15

Step-by-step explanation:

First turn the 18 into a fraction: 18/1

Next put the two fractions into an equation: 5/6 x 18/1 = ?

Then we mutiply the top numbers and the bottom numbers: 90/6

Finally since the fraction is top heavy, we divide to make it eithera lower fraction or a full number: 90/6 = 15

Your final answer will be 15 :)

Have an amazing day!!!

PLEASE RATE AND MARK BRAINLIEST!! :)

what is the range of y= -x2+15

Answers

Answer:

( − ∞ , 15 ] , { y | y ≤ 15 }

is the range

Select the correct answer

Answers

Answer: E.  (x+5)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

We are given that the center is (-5,5), which means that h = -5 and k = 5.

We are also given that the radius (r) = 3, which means r^2 = 9.

Therefore, the equation should be (x-(-5))^2 + (y-5)^2 = 9.

--> (x+5)^2 + (y-5)^2 = 9

Jenna received the following scores on five history tests. 69 70 85 97 97 Suppose Jenna receives a score of 69 on her next test. How does the median change? Please tell me I need the answer

Answers

Answer: The median changes from 83.6 to 81.2

Step-by-step explanation:

69+70+85+97+97= 418/5 = 83.6

69+70+85+97+97+69 = 487/6 = 81.2

slope = 1/4;y-intercept =2

Answers

Answer:

y=1.4x+2

Step-by-step explanation:

Here is what the graph should look like:

A line with a slope of [tex]\frac{1}{4}[/tex], and a y intercept of 2:

y=1.4x+2

x=0.713y+-1.41

Has y intercept of: 2

Has X intercept of: -1.429

YALL HELP PLEASE PLEASE!!


If C=3m^2 +4m+5 and D =3m +7, find expression that equal 2C +2D in standard form

Answers

Answer:

2(3m^2 +4m+5)=2(3m+7)

Step-by-step explanation:

What is the rate of change for the graph shown below?


4

-

3


3

-

4


4

- <--- negative

3


3

- <----- negative

4

Answers

Answer:

-3/4

Step-by-step explanation:

the rate of change is the slope of the line

7-3/0-(-4) = -3/4

can I get a answer within 10 min becoz it's very urgent​

Answers

Answer:

4a^2-b^2a-4b^2-2a^b-4ab/b(a+4)(a+b)

Step-by-step explanation:

Qu
What is the slope of y = 52 – 1?

Answers

Answer:

Is it 0 ? im not sure

Step-by-step explanation:

the actual height of a drinking cup is 9cm. The height of the cup in a photo taken is 1.5cm. Determine the scale factor of the reduction

Answers

Step-by-step explanation:

1.5 cm in the picture is 9 cm in reality.

1.5 × f = 9

f = 9/1.5 = 6

so, the scale factor of the picture is 1/6 of reality.

FInd the area of the polygon
pls help

Answers

Answer:

202.5mm^2

Step-by-step explanation:

15x9= 135mm^2 (area of rectangle)

15-9=6

9÷2= 4.5

4.5x15= 67.5mm^2 (area of triangle)

135+67.5= 202.5mm^2 (total area)

answer is 202.5mm^2

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

Answer:

The probability that we got is 35%

Question
Evaluate 4(3+5)-3(6-2) .

Answers

Answer:

18 btw all you have to do is distribute

Step-by-step explanation:

12 + 20 - 18 + 4

12 + 2 + 4

12 + 6

18

solve for x and y 7x + 5y = 12 and 7y - 2x = 11​

Answers

your answer is 3/2=1.5


HELP ASAP

A system of equations is
given below.

y=-2x+ 1/4 and y=-2x- 1/4

Which of the following statements best describes the two lines?

1)They have the same slope but different y-intercepts, so they have no solution.

2)They have the same slope but different y-intercepts, so they have one solution.

3)They have different slopes but the same y-intercept, so they have no solution.

4)They have different slopes but the same y-intercept, so they have one solution.

Answers

Answer:

Option 1

Step-by-step explanation:

They have the same slope but different y-intercepts, so they have no solution.

Answer: They have the same slope but different y-intercepts, so they have no solution.

Step-by-step explanation:

2.
What is the distance between (6,1) and (1,-9)
5
b. V89
c.575
d. 25

Answers

I thinks it’s probably 5

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game
reduced?

Answers

Answer:

25% decrease

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

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