Graph the feasibility region represented by the given inequalities and find the maximum profit if P=4x+5y. x>or=5 y

A variable can be used to represent an unknown amount. Then you write an equation using the variable and based on the information you are given, and you solve the equation to find the unknown amount.

Here is an example.

Mary has money in a bank account. She received $20 for her birthday. She deposited the $20 in her account. After the deposit, she was told the account had a balance of $85. How much money did she have in the account before depositing the $20?

We don't know the amount she had before depositing the $20, so we will call that amount x. x is a letter used as a variable to represent an unknown amount.

She had x dollars in her account before depositing the $20.

After she deposited the $20, she now has x plus 20, or x + 20.

We are told her account now has $85, so x + 20 must equal 85.

That allows us to write an equation which we can then solve to find the amount of money she had in the account before depositing the $20.

x + 20 = 85

Subtract 20 from both sides.

x + 20 - 20 = 85 - 20

x + 0 = 65

x = 65

Since the variable x represents the amount of money in the account before depositing the $20 birthday money, we can now answer the question.

Mary had $65.

you can use varibales in real life problems by using them to describe the constants

Answer: $874

Step-by-step explanation: multiply 23 by 38 to get the total cost

Answer:

874

Step-by-step explanation:

23 times 38 = 874

38 members, and it costs $23. So that's 38 shirts, costing  $23 each.

Hope this was helpful! Good luck.

x=a-y

We find this by subtracting a from both sides to find x.

x = y - a

isolate x by subtracting a from both sides of the equation

x = y - a

after everything you've ran the total would be 9.7 but you'll need to run a total of 13.1 so you still need to run 3.4 miles so you Thursday and Friday you'll run 1.7 each.

1+7

because when there are two negatives together you turn it into a positive and add

1 + 7

Because two negatives makes a positive. Hope this helps!

We know that the perimeter of a rectangle is:

[tex]P=2L+2W[/tex] (1)

Where:

P is the perimeter

L: it's the long

W: is the width

They tell us that the perimeter is:

(4y + 1)

The long is y

The width is y-5.

Then we can write equation (1) as follows:

[tex](4y + 1)=2y+2(y-5)[/tex]

[tex]4y+1=4y-10\\[/tex]

[tex]1 = -10\\[/tex]

The equation can not be solved and, therefore, it is not possible to find the value of "y" with the information provided.

By graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.

We need to explain how is graphing (0,12) different from graphing (12,0).

Given a point, (a, b), you plot the point in the Cartesian plane by finding the number a on the horizontal, or x-axis; then you trace directly up or down from that spot, moving parallel to the vertical, or y-axis until you reach the height of the number b.

Now, plot  (0,12) and (12,0) on the Cartesian plane.

In the graph plotted we can see (0,12) is on the y-axis and (12,0) is on the x-axis.

Therefore, by graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.

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Final answer:

The ratio of seniors graduating with honors to the total number of seniors is 46/310, which simplifies to 23/155.

Explanation:

To find the ratio of seniors graduating with honors to the total number of seniors, you would divide the number of seniors graduating with honors by the total number of seniors. In this case, 46 seniors graduate with honors out of a total of 310 seniors.

Therefore, the ratio is 46/310, which can be simplified to 23/155 when reduced to the lowest terms.

The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.

In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is -6, which means it decreases at a rate of 6.

To describe the rate of change of the function \( f(x) = -6x - 7 \), we first need to understand that the rate of change in the context of a function, particularly a linear function, is another term for its slope.

Now, let's recall what the slope of a linear function means. A linear function is of the form \( y = mx + b \), where \( m \) is the slope, and \( b \) is the y-intercept. The slope \( m \) determines how steep the line is, and it represents the change in the y-value (the output of the function) for a unit change in the x-value (the input of the function).

Looking at the given function \( f(x) = -6x - 7 \), we can see it is in the same form as \( y = mx + b \), with the slope \( m = -6 \) and the y-intercept \( b = -7 \).

The slope being -6 means that for every one unit increase in \( x \), the function's value decreases by 6 units. This is a constant rate of change because it does not matter what the value of \( x \) is; the function will always decrease by 6 for every one unit increase in \( x \).

Now, let's examine the given statements:

 A. The function has a varying rate of change when \( x < 7 \).
    - This statement is incorrect because the slope is constant at -6, regardless of the value of \( x \).
 
 B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.
    - This statement is correct; it accurately describes the behavior of a linear function with a slope of -6.
 
 C. The function has a varying rate of change when \( x < 6 \).
    - This statement is also incorrect because, once again, the rate of change (slope) is constant for all values of \( x \).
 
 D. The function has a constant rate of change, decreasing for all \( x \) at a rate of 7.
    - This statement is incorrect; the coefficient of \( x \) in the function, which represents the slope, is -6, not -7.

Based on our analysis, the correct answer is:

 B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.

Answer:

If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.

Step-by-step explanation:

If dealer A sold 70 cars, this means they sold

0.3(70) = 21 blue cars.

If dealer B sold 70 cars, this means they sold

0.5(70) = 35 blue cars.

This is 35-21 = 14 more blue cars than dealer A.

Answer:

If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.

Step-by-step explanation:

math

:0

      $ 4.29 for mugs

                and

      $8.50 for T-Shirts

ANSWER

The Multiplicative Property of Equality

EXPLANATION

The Multiplicative Property of Equality allows us to multiply both sides of the given equation by the same quantity.

So for the given equation,

[tex]\frac{x}{5}=2[/tex]

When we multiply both sides by 5, we get;

[tex]5\times \frac{x}{5}=2\times 5[/tex]

[tex]\Rightarrow x=10[/tex]

so if the original price of the bicycle is $360 and the sale price is 5/6 of that you would multiple $360 by 5/6 which equals 300 now thats NOT your final price you have one more step which is to subtract the sale (money off) the original price 360-60 so the sale price of the bicyle is $300

answer:

$300

step-by-step explanation:

our original price is $360 and we need find 5/6 of 360

our first step is to multiply 360 by 5 which is equal to 1,800

our next step is it divide by 6 which is equal to 300

so our sale price is $300

Assuming each movement is in a straight​ line, the composition

represents the moves.

Each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.

Given that, a robot travels from position A to B to C to D.

We need to find what composition of rigid motions represents those moves.

Any way of moving all the points in the plane such that

a) the relative distance between points stays the same and

b) the relative position of the points stays the same.

There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection.

In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance.

Therefore, each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.

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Final answer:

To simplify 7(x-4), distribute 7 over x and -4 to get 7x - 28. This is an application of the distributive property in algebra.

Explanation:

To simplify the expression 7(x-4) using the distributive property, you multiply the number outside the parenthesis, which is 7, by each term inside the parenthesis. The distributive property allows us to remove the parentheses by distributing the multiplication over the subtraction within.

Here is the step-by-step simplification:

Multiply 7 by x, which is 7x.

Multiply 7 by -4, which is -28.

Combine the results to get 7x - 28.

Therefore, 7(x-4) simplifies to 7x - 28.

No, 0.2 is ten times greater than 0.02

The slope of this line is 1/4, because slope is rise/run. This line rises 1 for every 4 it runs. The slope is positive because the line is moving upward.

0.00961538461

I typed this for 20 characters

Isolate the f. Note the equal sign. What you do to one side, you do to the other.

First, subtract 6e from both sides

6e (-6e) - 7f = 8g + h (-6e)

-7f = 8g + h - 6e

Divide -7 from both sides

(-7f)/-7 = (8g + h - 6e)/-7

f = -8/7g + h/-7 + 6/7e

f = -8/7g + h/-7 + 6/7e is your answer

hope this helps

a. sum of angles in triangle

b. supplementary angles

c. sum of angles is triangle=180 and supplementary angles =180

d. Parts whole postulate/subtraction

e. exterior angle equals the sum of the 2 remote interior angles

First, change the mixed fraction into improper fraction. Change the whole number into a fraction, and add.

1 8/11 = 11/11 + 8/11 = 19/11

To find the reciprocal, flip the fraction.

The reciprocal of 19/11 is 11/19

hope this helps

Final answer:

The reciprocal of 1 ⁸/₁₁ is 11/19, which is calculated by first converting the mixed number to an improper fraction (19/11) and then flipping the numerator and denominator to get the reciprocal.

Explanation:

To find the reciprocal of 1 ⁸/₁₁ , you first need to convert the mixed number to an improper fraction. To do this, multiply the whole number by the denominator, add the numerator, and then write the result over the original denominator. In this case, 1 ⁸/₁₁ becomes (1×11 + 8)/11, which simplifies to 19/11.

Now, the reciprocal of a fraction is obtained by flipping the numerator and denominator. So the reciprocal of 19/11 is 11/19. Therefore, the reciprocal of 1 ⁸/₁₁ is 11/19.

Understanding the concept of reciprocals is important in mathematics because dividing by a number is the same as multiplying by its reciprocal. In this context, dividing by 1 8/11 is equivalent to multiplying by 11/19.

Nine plus a unknown number equals unknown.

Answer:

The sum of 9 and a number.

Step-by-step explanation:

Sum = Add.

9 = 9

Number = n

Hope this helps :-)

i think the answer is 214 i am not sure but i think it is

The number you are looking for is 211.

To find the number that meets the given criteria, we need to consider a few steps

1. The number, when rounded to the nearest ten, is 210.

2. The sum of the digits of the number is 4.

First, let's consider the numbers that round to 210 when rounded to the nearest ten. These numbers fall within the range of 205 to 214 (inclusive).

Next, let's identify which of these numbers has digits that sum to 4.

- 205: (2 + 0 + 5 = 7)

- 206: (2 + 0 + 6 = 8)

- 207: (2 + 0 + 7 = 9)

- 208: (2 + 0 + 8 = 10)

- 209: (2 + 0 + 9 = 11)

- 210: (2 + 1 + 0 = 3)

- 211: (2 + 1 + 1 = 4)

- 212: (2 + 1 + 2 = 5)

- 213: (2 + 1 + 3 = 6)

- 214: (2 + 1 + 4 = 7)

From this list, the number 211 is the only number within the range that has digits summing to 4.

Bob passed 4 activities, so 4 x 10 = 40 points. He failed 3, so 3 x 5 = 15

Total points = 40-15 = 25 points.

Tom passed 7, so 7 x 10 = 70 points. He failed 4, so 4 x 5  = 20

Total points = 70-20 = 50 points.

Tom got a higher score.

The ratio of 16 days to 2 weeks, when converted to the same units and reduced to its simplest form, is 8:7.

To write the comparison of 16 days to 2 weeks as a ratio in the lowest terms, we first need to express both quantities in the same units. There are 7 days in a week, so 2 weeks equal 14 days. The ratio between 16 days and 14 days is therefore 16:14. This ratio can be reduced to lowest terms by dividing both numbers by their greatest common divisor, which is 2. This gives us the reduced ratio of 8:7.

So, the ratio of 16 days to 2 weeks, reduced to lowest terms, is 8:7.

There are 11 numbers divisible by 9 between 1 and 100, and 25 numbers divisible by 4 between 1 and 100. So there are 11 + 25 = 36, so 36 numbers divisible by one or the other, but this also includes every number which is divisible by both 9 and 4 twice.

Answer:34

Step-by-step explanation:

I had the answer on khaun academy

well, i need to see the graph to answer it lol. what is the graph?

Answer:

B: x^2 + 2x – 8 < 0

Step-by-step explanation:

edge