Mackenzie spent $20 at the local farmer’s market. She bought b pounds of blueberries that cost $4 per pound, and r pounds of raspberries that cost $6 per pound. She wrote the equation 4 b + 6 r = 20 to represent the cost of all the fruit. Which is equivalent to Mackenzie’s equation?
b = 5 minus three-halves r
b = 80 minus 240 r
r = StartFraction 10 Over 3 EndFraction + two-thirds b
r = 120 + 240 b

Answer:

...............................

Revenue, profit and expenses are all integral parts of a company's balance sheet

The expense function is given as:

[tex]\mathbf{E = 8q + 12000}[/tex]

The demand function is given as:

[tex]\mathbf{p = -10p + 20000}[/tex]

(a) The expense in terms of q

This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]

(b) The expense in terms of p

Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]

[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]

Expand

[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]

[tex]\mathbf{E = -80p + 172000}[/tex]

(c) The revenue in terms of P

This is calculated as:

[tex]\mathbf{R = p \times q}[/tex]

So, we have:

[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]

Expand

[tex]\mathbf{R = -10p^2 + 20000p}[/tex]

(d) The profit in terms of p

We have:

[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]

So, the profit P is calculated as:

[tex]\mathbf{P =R - E}[/tex]

This gives

[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

(e) The price that yields maximum profit

In (d), we have:

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

The maximum price is calculated using:

[tex]\mathbf{p = -\frac{b}{2a}}[/tex]

Where:

[tex]\mathbf{b =20080}[/tex]

[tex]\mathbf{a = -10}[/tex]

So, the equation becomes

[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]

[tex]\mathbf{p = 1004}[/tex]

Hence, the price that yields the maximum profit is $1004

(f) The maximum profit

In (e), we have: [tex]\mathbf{p = 1004}[/tex]

Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]

[tex]\mathbf{P =9908160}[/tex]

Hence, the maximum profit is $9908160

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Answer:

∠ B = 126°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and are congruent , then

8x + 78 = 2x + 114 ( subtract 2x from both sides )

6x + 78 = 114 ( subtract 78 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Then

∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°

Answer:

b.

This may be the complete question:

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

a. Wanda is task oriented and likes to be alone.

b.  Wanda has a lot of energy and is a good multitasker.

c. Wanda has remarkable typing skills and does well with computers.

d. Wanda has very good concentration skills and likes to create things with her hands.

Answer: b.

Answer:

7 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

The reciprocal of 8 is [tex]\frac{1}{8}[/tex]

The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex]  = 7

sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]

Answer:

1/2= 5/10

this is answer

Answer: x−2y=6

hope this helps

Answer:

3600

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

verificando :)

Answer:

y=11-2x           x + y =15

4x − y=7 and 2x − y=15 all have one solution

x=12 − 3y             2x + y=7

3x + 9y=24 and -4x=2y + 14 have no solution

you can just put the rest in infinite solutions

Step-by-step explanation:

Answer:

if the three is meant to be a zero then the answer is B, 67.14

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

the line joined by midpoints of sides is called midsection

which is parallel to the third side and is half its length

so (5x - 26) * 2 = 9x - 37

10x - 52 = 9x - 37

x = 52 - 37

x = 15

so PQ is 5x - 26

= 5*15 - 26

= 75 - 26

= 49

Answer:

no

Step-by-step explanation:

It is not because it does not pass the vertical line test.

****************************************************************

This is the vertical line test:

Imagine a vertical line that starts at the left side of the graph, at x = -8, and is moving right to x = 8. If at any time in the vertical line's movement from left to right, it intersects more than 1 point of the relation simultaneously, then the relation is not a function.

******************************************************************

Here, when the vertical line is x = -7, the vertical line intersects points (-7, 4) and (-7, 6) simultaneously. That means this relation does not pass the vertical line test, and it is not a function.

Answer:mile.

B.Mary stopped and waited for the traffic light to turn green.

Step-by-step explanation:

edge 2020 its simp3l

Answer:

x = -201/80

Mixed form: x = -2 41/80

Step-by-step explanation:

Value of x =  [tex]-2\frac{1}{4}[/tex]

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Examples: (y²x² + 2xy – y)/(x – 1) = 12.

Given, equation

[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]

⇒4/5[(10x-3)/10] = -9/4

⇒2/5[(10x-3)/5] = -9/4

⇒(20x-6)/25 = -9/4

⇒80x - 24 = -225

⇒80x = -225 + 24

⇒x = -201/80

⇒x = -2.5125

⇒x = [tex]-2\frac{1}{4}[/tex]

Hence, the value of x in simplest mixed number is    [tex]-2\frac{1}{4}[/tex]

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#SPJ2

I ain’t giving n9 answer

Step-by-step explanation:

Relation 1 :-

For each different inputs we don't have distinct outputs . As in 2nd and 4th . So it's not a function .

Not a function

Relation 2 :-

For same inputs we have distinct outputs . So it's not a function .

Not a Function

Relation 3 :-

For each different inputs we don't have distinct outputs . As in 2nd and 1st . So it's not a function .

Not a function

Relation 4 :-

For same inputs we do have distinct outputs . So it's not a function .

Not a Function

Answer:

[tex]y=-\frac{4}{3} x+4[/tex]

Step-by-step explanation:

Slope-intercept form is written in [tex]y=mx+b[/tex]

So, to solve, we must separate y onto one side and make its coefficient one.

[tex]4x+3y=12[/tex]

Subtract 4x on both sides.

[tex]3y=12-4x[/tex]

Divide both sides by the coefficient of [tex]y[/tex], which is 3.

[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]

Simplify.

[tex]y=4-\frac{4}{3} x[/tex]

Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]

[tex]y=-\frac{4}{3} x+4[/tex]

Answer

y=4/5 times 2/3

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

Hope this helps.

Answer:

x = K

Step-by-step explanation:

If,

x = 6

and 6 = k

=> x = 6 = k

=> x = k

The Transitive Property of Equality states the same fact as:

"If two units are equal to each other and the second unit is equal to a third unit, then the first unit is also equal to the third unit."

Answer:

1

Step-by-step explanation:

I assume you mean slope

(-3-(-8))/(2-(-3))=5/5=1

Answer:

x=9/2

Step-by-step explanation:

2

−

7

4

=

−

3

3

\frac{2x-7}{4}=\frac{x-3}{3}

42x−7​=3x−3​

1

2

⋅

2

− 7 4 =

1 2 ⋅ − 3

Answer:

Regular form:

x=9/2

Decimal Form:

x=4.5

Mixed Number Form:

x=4 1/2

Step-by-step explanation:

Solve for x by cross multiplying.

Answer:

[tex]⟼3x {}^{2} + 12 + y[/tex]

Step-by-step explanation:

[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]

[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x + y[/tex]

Hello there!

Combine Like Terms:

2x-6y+3x^2+7y-14x

-12x+y+3x^2

3x^2-12x+y

Hope this helps. you!

~Just a determined gal

#CarryOnLearning

Please mark brainliest; I would really appreciate that! :)

[tex]MysteriousNature :)[/tex]

The cost of the blue balloon is  ₹728.

let

the price of the yellow balloon = x

cost of the blue balloon  = 4x

Total amount spent = ₹ 910

Therefore,

4x + x  = 910

5x = 910

divide both sides by 5

5x / 5 = 910 / 5

x = 182

cost of the blue balloon  = 4x = 4(182) =  ₹728

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Answer:

Steeper: y=-3/2x+1/2 AND y=-2x+7/3 AND y=-7/4x+3/2

Less Steep: y=-4/3x+2/3 AND y=-8/7x+4/7

Step-by-step explanation:

Hope this helps :)

Answer:

0.54

Step-by-step explanation:

54 space 2 times is 0.54

Answer:y+2 = 2(x-1)

Step-by-step explanation:

First we find the slope

(1,-2) (-3,6)

rise/run

change of y/change of x

8/-4

-2

The slope is -2

point slope form is y-y1 = m(x-x1)

m is the slope, y1 is y coordinate of a point and x1 is x coordinate of same point as the y1 point.

lets use (1,-2)

y-(-2) = 2(x-1)

point slope form

y+2 = 2x-2

y = 2x-4

slope intercept form

A math class has 3 girls and 7 boys in the seventh grade and 3 girls and 3 boys in the eight grade. The teacher randomly selects a seventh grader and an eight grader from her class for a competition. What is the probability that the students she selects are both boys?

Answer: 3/5

Answer:

4=x

Step-by-step explanation:

-3(x-2)=2(x-7)

Distribute -3 and 2.

-3x+6=2x-14

Add 3x to both sides of the equation.

6=5x-14

Add 14 to both sides of the equation.

20=5x

Divide 5 from both sides of the equation.

4=x

Hope this helps :)

Answer:

x=5

Step-by-step explanation:

Our equation is

-3(x-2)=2(x-7)

First we will distribute -3 and 2, because in math when we have a number being multiplied into parenthesis we multiply both things inside of it

Our equation is now

-3x+6=2x-14

Next we subtract 6 from both sides because we want x to be on only one side

-3x=2x-20

Next we subtract 2x from both sides because we want x to equal something exactly

-5x=-20

Now we divide -5 from both sides because we only want x

x=5

Brainliest please :)

Answer:

y = (1/2)x + 1

Step-by-step explanation:

y = mx + b

m = slope = (y2 - y1)/(x2 - x1) = (6 - 2)/(10 - 2) = 4/8 = 1/2

y = (1/2)x + b

Use point (2, 2) to find b.

2 = (1/2)(2) + b

2 = 1 + b

b = 1

Equation: y = (1/2)x + 1