Neil and Barry each bought a new phone plan. Neil bought a plan that costs $80 for a new phone and $3per minute of talk, text, or data. Barry bought a plan that costs $230 for a new phone and $2 per minuteof talk, text, or data.7. Write an equation to represent eachfriend's phone plan.8. How much will each friend pay if they eachuse 100 minutes?10. How many minutes would it take for bothplans to cost the same amount?chorar the

Answer: -1

Step-by-step explanation:

The midpoint of a segment is the same as the average of the coordinates of the endpoints. So, the midpoint is [tex]\frac{-7+5}{2}=-1[/tex].

It will take Plant A 5 days to be the same height as Plant B and this can be calculated through unitary method of mathematical calculation.

The unitary technique used in here involves at first determining the value of a particular single unit, that is thus followed by the value of the necessary number of units.

A single or type of a distinct unit is referred to by the word of unitary.

Therefore, the goal of this strategy is to establish values in reference to a single unit.

The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one liter of gas if it travels 44 km on two liters of fuel.

Plant A initial height = 2 inches

Growth rate = 14 inches/ week

= 2 inches/ day

Plant B initial height = 12 inches

Growth rate = 1 inch/ week

After 5 days we can see that plant A will be

2 + (5 x 2) = 12 inches

this is the same height as that of Plant B.

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Given: A farmer is going to divide her40 acre farm between two crops

To Determine: How many acres of each crop should the farmer plant to maximize her profit

Solution

The graph of the inequalitiesis as shown below

Neglecting the negative axis, the point that will maximize the profit are te points shown above with their coordinates

The coordinates will maximum profits are

Substitute the 3 points into the profit functions to determine thepoint that will given the maximum profit

Hence, the point that will maximize profit is (35, 0), which is

35 acres of crop A, and

0 acre of crop B

Answer:

79,000

Step-by-step explanation:

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Answer:

79000.

Step-by-step explanation:

The end behaviours of the functions are

Function 1

The equation of the function is given as

f(x) = 6x⁹ - 6x⁴ - 6

Calculate f(∝) and f(-∝)

So, we have

f(∝) = 6(∝)⁹ - 6(∝)⁴ - 6

Evaluate

f(∝) = ∝ - ∝ - 6

So, we have

f(∝) = ∝

Also, we have

f(-∝) = 6(-∝)⁹ - 6(-∝)⁴ - 6

Evaluate

f(-∝) = -∝ - ∝ - 6

So, we have

f(∝) = -∝

This means that

As x ⇒ +∝, f(x) ⇒ +∝ and as x ⇒ -∝, f(x) ⇒ -∝

Function 2

The equation of the function is given as

f(x) = -3x⁴ - 6x + 4x - 5

Evaluate the like terms

f(x) = -3x⁴ - 2x - 5

Calculate f(∝) and f(-∝)

So, we have

f(∝) = -3(∝)⁴ - 2(∝) - 5

Evaluate

f(∝) = -∝ - ∝ - 5

So, we have

f(∝) = -∝

Also, we have

f(-∝) = -3(-∝)⁴ - 2(-∝) - 5

Evaluate

f(∝) = -∝ + ∝ - 5

So, we have

f(∝) = -∝

This means that

As x ⇒ +∝, f(x) ⇒ -∝ and as x ⇒ -∝, f(x) ⇒ -∝

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Let's recall the framework of the equation of a line:

We say that two lines are perpendicular if the slope of one line is minus the multiplicative inverse of the slope of the other one; mathematically, this amounts to the following equation:

In this case, the slope of our line is 4/7. Then the slope (m) of any line perpendicular to it must satisfy

Solving this equation for m, we get

The answer is 2.

If a person is randomly selected, the probability provided the condition is P(Female | Suwanee) is 1/3.

Probability is used to determine the odds in favor or against a random event happening. The odds in favor or against an event happening has a probability value that lies between 0 and 1.

The higher the odds of an event happening, the closer the probability value would be to 1. If it is equally likely that the event might happen or not happen, the probability value will be 0.5.

P (Female | Suwanee) is the probability that a person is female given that the person is from Suwanee.

P (Female | Suwanee) = total number of females from Suwanee / total number of people from Suwanee

8 / 24 = 1/3

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Answer:

The temperature in degrees Celsius is;

Explanation:

Given the formula for converting Temperature from Celsius to Fahrenheit as;

Where;

F = temperature in Fahrenheit

C = temperature in Celsius

To convert from Fahrenheit to Celsius, let us make C the subject of formula;

To convert 104°F to Celsius, let us substitute the value into the derived formula;

Therefore, the temperature in degrees Celsius is;

Based on the parameters in the question, the value of probability P(A) is 0.60

The given parameters from the tree diagram are:

The probability is calculated using the following probability formula

P(A) = P(A and D) + P(A and C)

Substitute the known values in the above equation

P(A) = 0.6 * 0.7 + 0.6 * 0.3

Evaluate the products

P(A) = 0.42 + 0.18

Evaluate the sum

P(A) = 0.60

Hence, the value of the probability of A is 0.60

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We are goinf to analise each case properly

1) As the radio show is asking it could be that their listners do not attend this demand. Then the error would be nonresponse.

2) As the students do the survey based of its readers it depends only of this part of the poblation. Then the error would be voluntary.

3) As the gym ask only to the first 20 members it makes the error would be convenience

So, the correct answer is B.

Answer: 4

Step by step solution:

the value of x are that makes it true

1) The area of the picture without the frame will be A.

So the area without frame is 896 square centimeters.

2) If the frame is 2 cm all around then the length and width increase by 4.

So the length becomes 32+4=36cm and the width becomes 28+4=32.

The area of big rectangle which is the frame is A'.

So the area of the frame is 1152 square centimeters.

3) The area of the margin will be the difference of the area of the frame and area of the picture, so it will be A'-A

So the area of the margin is 256 square centimeters.

Answer:

y= -3x+3

Step-by-step explanation:

atleast I think so

To do the operation, first the numerator and denominator by 100:

Now simplify

Therefore,

Answer:

60

Step-by-step explanation: 35.4 / 0.59 = 60

Given:

To convert into decimal:

Explanation:

Let us write it as the factored form for each term.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{64}{128}}\\\\\mathsf{= \dfrac{64\div8}{128\div8}}\\\\\mathsf{= \dfrac{8}{16}}\\\\\mathsf{= \dfrac{8\div4}{16\div4}}\\\\\mathsf{= \dfrac{2}{4}}\\\\\mathsf{= \dfrac{2\div2}{4\div2}}\\\\\mathsf{= \dfrac{1}{2}}\\\\\\\huge\text{Therefore, the answer simplified is:}\\\huge\boxed{\mathsf{\dfrac{1}{2}}}\huge\checkmark[/tex]

[tex]\mathsf{\dfrac{1}{2}\rightarrow 1\div2 \rightarrow 0.5}\\\\\\\huge\text{Therefore your decimal form of }}\huge\boxed{\boxed{\rm{\dfrac{1}{2}}}}\huge\text{ is:}\\\\\huge\boxed{\mathsf{0.5}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

[tex]\frac{x}{3}[/tex] or x/3 or x÷3

ANSWER:

Regular pay is $383.2

Overtime rate is $14.37

Overtime pay is $114.96

Gross pay is $498.16

STEP-BY-STEP EXPLANATION:

Assuming the overtime multiplier is 1.5 and the standard work week is 40 hours. Therefore, we calculate the regular payment like this:

The overtime rate would be the value of the normal payment times the overtime multiplier, like this

Then we multiply the number of additional hours to the 40 hours allowed, that is, 8 (48 - 40), for which one gives overtime pay

Now the gross pay would be the sum of the regular payment with the overtime payment:

We are given the following areas:

The total area of the square is given by:

If we apply the distributive property we get:

Which is equivalent to determining the area of the interior rectangle and adding them together.

Answer:

11x7+11x4

Step-by-step explanation:

your welcome <3

Answer: The magnitude of the resultant force is 77.45-lb

Explanation:

Resultant is represented as R

Answer:

f(x)= -269

Step-by-step explanation:

f(x)=7x-3

Since we know f(x)= -38, we can substitute x for -38.

So:

f(-38)=7(-38)-3

f(-38)= -266-3

f(x)= -269

Answer:

-7x=38+3

-7x=41/-7=5.8

Answer:

She invested an amount of $3,000 in the first accont and $27,000 in the second account

Explanation:

Here, we want to get the amount invested in each of the accounts

To get this,let us write the simple interest formula

Mathematically, we have this as:

Let the amount invested in the first account be $x, while that of the second account be $y

P represent the amounts invested

R is the rate of investment

T is the time (1 year)

The sum of these two is the $30000 she has to invest

Mathematically, we have this as:

Let us get the interests on each of the accounts

For the first account, we have the interest as:

For the second account, we have the interest as:

The sum of these two is the interest value, which is as follows:

So, we have two equations to solve simultaneously

The two equations are:

We can solve this by substitution

Let us substitute for y

Insert this into the second equation, we have this as:

Recall:

What this mean is that:

She invested an amount of $3,000 in the first accont and $27,000 in the second account

The answer to this question will be 15.

3/5 of 125 = 3/5 x 125 = 75

5/8 of 144 = 5/8 x 144 = 90

So, 5/8 of 144 - 3/5 of 125 = 90 - 75 = 15

The difference between 3/5 of 125 and 5/8 of 144 is 15.

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distance=205

Explanation

Step 1

the distance between is given by:

Let

P1(-6,-3)

P2(194,42)

Step 2

apply the formula.

I hope this helps you

If the saving compounded monthly at an interest rate of 6%. The amount you need to deposit a month is $8,302.

Using this formula  to determine the principal amount

P = A / (1 + r/n) ^nt

Where:

P =  principal = ?

A = amount = $50,000

r = interest rate = 6%

t = time  = 30  

Now let  plug in the formula

P = $50,000 / (1 + 0.06/12) ^( 12 × 30 )

P = $50,000 / (1 + 0.005) ^ 360

P = $50,000 / (1.005)^360

P = $50,000 / 6.022575

P = $8,302

Therefore $8,302.10 is the amount deposited.

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We have a randomly selected prize out of 9 objects (4 rings, 4 headsets and 1 camera).

a) We have to calculate the odds in favor of Mary winning a ring.

The odds can be expressed as the proportion (or quotient) between the probabilities of winning a ring and the probabilities of not winning a ring.

This will also be equal to the number of outcomes that will be a ring (4 elements are rings) divided by the number of outcomes that are not a ring (5 elements are not a ring):

b) Now, we have to calculate the odds against Mary winning a ring.

This will be the inverse of the previous result, as we have to divide the probability of not winning a ring by the probability of winning.

We can then write:

Answer:

a) 4 : 5

b) 5 : 4

Solution:

Given the graph below:

where the equation of the line of best fit is expressed as

The x-intercept represents:

The correct option is

Choose A

( A is the answer <3)

Answer: First divide everything by 3 to make it simpler. Then subtract 12 on both sides to get the equation "x+2y-12 = 0. You can then graph this.

Step-by-step explanation: