Your aunt is asking your help in figuring out how to
maximize profit for her pottery business. She makes
$35 on a bowl and $30 on a plate. She has just
ordered 40 pounds of clay. A bowl uses 5 pounds of
clay and a plate uses 4 pounds of clay. She already
has orders to make 4 bowls. How many bowls and
plates should she make in order to maximize her profit?
Step 1: Identify your variables and write the objective
function
What does x represent? What does y represent?

Answers

Answer 1

Answer:

650

Step-by-step explanation:


Related Questions

 please helpppp!!! it’s timed!!!! thank u for helping!!!!!

Answers

Answer:

[tex]4 \pi {?}^{2} [/tex]

hope it is helpful to you


Which choice describes symmetry?
A. When something is exactly the same on one side as it is on the
other side.
B. When something looks completely different on one side than
the other side.
C. When something has a spherical shape.

Answers

Answer: A. When something is exactly the same on one side as it is on the

other side

Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!

Evaluate the function at the given values of x. Round to 4 decimal places, if necessary. =fx7x

Answers

Step-by-step explanation:

what are the given values of x ?

there is nothing visible.

and what is the function itself ? f(x) = 7x ?

it is not clear.

What are the coordinates of the vertex of the parabola described by the
equation below?
y= 2x+52-3
O A (-5.3)
0
B. (-3.-5)
C. (3.5)
O D. (5-3)
ANSWER ASAP!

Answers

Step-by-step explanation:

please type the question properly

Did you mean y = (2x +5)^2 - 3 ?
The answer would then be (-2.5, -3)

Records show that 12% of all college students are foreign students who also smoke. It is also known that 40% of all foreign college students smoke. What percent of the students at this university are foreign

Answers

Answer: the percent of the students at this university are foreign = 30%

Step-by-step explanation:

Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12

Probability that foreign college students smoke P(S∩F)=0.4

The probability that the students at this university are foreign :

[tex]P(F)=\dfrac{P(S\cap F)}{P(S|F)}[/tex]  [By conditional probability formula]

[tex]=\dfrac{0.12}{0.4}\\\\=0.3[/tex]

Hence, the percent of the students at this university are foreign = 30%

PLEASE HELP!!! IM ALMOST DONE WITH THIS SEMESTER

Answers

A

You can calculate it out or you can see that it's the only answer in slope intercept form

What are the three plot points and is it over the x-axis or y-axis

Answers

Answer:

(-2,1), (0,1), and (2,0). its over the y axis

Step-by-step explanation:

Answer:

shift it 3 values right and 2 units up

Step-by-step explanation:

moving x-axis and moving y-axis

Express square root 4x – 7 as a power .​

Answers

Answer:

It's answer is 4x-7^1/2

3 tons of topsoil cost $2,040.00. What is the price per pound?

Answers

Answer:

$0.34/pound

Step-by-step explanation:

1 ton = 2000 pounds

3 tons = 6000 pounds

-------------------------

2040/6000 = $0.34/pound

(6) Milan added 3 fish to his pond each day for 27 days. What was the total change in the number
of fish in the pond?
fish

Answers

Answer: 81

Step-by-step explanation: 27 times 3 = 81

Answer: 81

Step-by-step explanation: 21 times 3

The solution set for -18 < 5x - 3 is _____.

3 > x
3 < x
-3 < x
-3 > x

Answers

Answer:

[tex]-3 < x[/tex]

Step-by-step explanation:

Given

[tex]-18 < 5x-3[/tex]

Required

The solution

[tex]-18 < 5x-3[/tex]

Add 3 to both sides

[tex]3-18 < 5x-3+3[/tex]

[tex]-15 < 5x[/tex]

Divide both sides by 5

[tex]-3 < x[/tex]

Examine the geometric relationships in the diagram below which option shows the correct value of x and y?

Answers

Answer:all of them

Step-by-step explanation:

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:

Finance Majors Business Analytics Majors
n1 = 140 n2 = 30
x1 = $48,237 x2 = $55,417
s1 = $19,000 s2 = $10,000

Required:
a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use α = 0.05. (Let μ1 = the population mean salary for Finance majors, and let μ2 = the population mean salary for Business Analytics majors.
b. What is the value of the test statistic?
c. What is the p-value? (Round your answer to four decimal places.)
d. What is your conclusion?

Answers

Answer:

Following are the responses to the given choice:

Step-by-step explanation:

For point a:

[tex]H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0[/tex]

For point b:

[tex]t = -2.953[/tex]

For point c:

[tex]\to p- value = 0.0021[/tex]

For point d:

Reject [tex]H_o[/tex]. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.

Help me complete this

Answers

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

[tex]\sqrt{98}[/tex] = x

[tex]7\sqrt{2}[/tex] = x

9.9 = x

Find angle X in the angle diagram.

Answers

Answer:

80*

Step-by-step explanation:

Angle x + 80* add up to the vertical angle of 160*

So, 160* = x + 80*

80* = x

Answer:

80°

Step-by-step explanation:

160 is vertically opposite the x and 80, which means they have the same value.  This makes x+80=160.

This can be solved to x=80.

This is a 30-60-90 triangle. What is the measure of x?

Answers

X would be 7 radical 3

Translate the phrase into an algebraic expression.
3 more than b

Answers

Answer:

b+3 or 3+b

Step-by-step explanation:

What are the rational roots of f(d) = 5d - 6 + d-8?

Answers

5d - 6 + d - 8 = 0

6d - 14 = 0

6d = 14

d = 14/6

d = 2 and a third

Find the equation of a line parallel to y'= -8x+6.

Answers

Answer:

The equation must include -8 as the slope

Step-by-step explanation:

Hi there!

Two key points to keep in mind:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).Parallel lines always have equal slopes

Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.

For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.

I hope this helps!

Choose the conditional statement that can be used with its converse to form the following biconditional statement: "It is a leap year if and only if the year has 366 days."
A. If it is not a leap year, then it does not have 366 days.
B. If it is a leap year, then the year has 366 days.
C. If a leap year has 366 days, then this is a leap year. D. If a year does not have 366 days, then it is not a leap year​

Answers

Given the biconditional statement: "It is a leap year if and only if the year has 366 days.", the converse to form it is "If the year has 366 days, then this is a leap year". (Right choice: C)

How to determine the propositional form of a sentence

According to logics, propostions are truth bearers that makes sentences true or false. In linguistics, propositions are the meaning of declarative sentences. There are simple and composite propositions, the latter are formed by one simple proposition at least and logic connectors. There are five logic connectors:

Conjuction     X ∧ Y   ("and" operator)Disjunction    X ∨ Y   ("or" operator)Negation       ¬ X       ("not" operator)Implication/Conditional          X ⇒ Y      ("if-then" operator)Double implication/Biconditional       X ⇔ Y     ("if-only if" operator)

By logic rules we know that the double implication/biconditional is commutative operator:

(X ⇔ Y) ⇔ (Y ⇔ X)

In addition, a double implication/biconditional has the following equivalence:

(X ⇒ Y) ∧ (Y ⇒ X)

Where Y ⇒ X is the converse of X ⇒ Y.

Therefore, the converse to form the statement "It is a leap year if and only if the year has 366 days" is Y ⇒ X: "If the year has 366 days, then this is a leap year".

To learn more on propositions: https://brainly.com/question/14789062

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Question 5
Refer to the data that you recorded in part D. In each row, compare the slope of ABto the slope of the perpendicular line. What is the
relationship between the two slopes? What conclusion can you draw about the relationship between the slopes of any two perpendicular lines?
Ok

Answers

Answer:

Step-by-step explanation:

Answer:

The product of the slopes of  and the line perpendicular to  through C is -1 in all cases. So, I can conclude that any two perpendicular lines have slopes that are negative reciprocals of each other.

Step-by-step explanation:

its correct

Find the distance from (4,2) to the line defined
by y = -2x + 5. Express as a radical or a number
rounded to the nearest hundredth.

Answers

Answer:

The desired distance is √5

Step-by-step explanation:

Recall that the distance from a point to a line is measured along a path perpendicular to the line.  Thus, given the line y = -2x + 5, the slope of any line perpendicular to it is the negative reciprocal of -2:  +1/2.

The line perpendicular to y = -2x + 5 and passing through (4, 2) is

y - 2 = (1/2)(x - 4), or

2y - 4 = x - 4, or 2y = x, or y = (1/2)x.

Now our problem becomes "find the length of the line connecting (4, 2) and the intersection of y = -2x + 5 and y = (1/2)x."  

Equating these, we get (1/2)x = -2x + 5, which, if multiplied through by 2, becomes x = -4x + 10, or 5x = 10, or x = 2.  If x = 2, then y = (1/2)(2) = 1.

Finally, find the distance between (2, 1) and (4, 2):

Using the Pythagorean Theorem, d = √(2^2 + 1^2) = √5

The distance from (4, 2) to the line y = -2x + 5 is √5

Which equation represents a line that passes through (5, 1) and has a slope of ?
O y-5 = {(x-1)
Oy- } = 5(x –1)
Oy-1 = {(x–5)
Oy - 1 = 5(x-)

Answers

Answer:

y - 1 = 5(x - 5)

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, 1)

Slope = ?

From the question, the value of the slope is missing. Hence, let's assume a value of 5.

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 1 = 5(x - 5)

y - 1 = 5x - 25

y = 5x - 25 + 1

y = 5x - 24 = mx + c


Use the table to approximate AB in the triangle below.

Answers

Answer:

Answer is 6.1 units

Step-by-step explanation:

The measure of length of AB in the triangle ABC is 6.1 units.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle ABC, BC=5 and ∠A=55°.

We know that, sinθ= Opposite leg length/Hypotenuse length

Here, sinA=BC/AB

sin55°=5/AB

0.82=5/AB

AB=5/0.82

AB=6.1 units

Therefore, the measure of length of AB in the triangle ABC is 6.1 units.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

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15
Type the correct answer in each box. If necessary, round your answer(s) to the nearest hundredth.
The vertices of ABC are Al-2, 2), B6, 2), and 90, 8). The perimeter of ABC is
units, and its area is
square units.

Answers

9514 1404 393

Answer:

perimeter: 22.81 unitsarea: 24 square units

Step-by-step explanation:

The lengths of the sides can be found using the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10

  BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2

The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.

Then the perimeter is ...

  P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units

__

The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(8)(6) = 24 . . . square units

The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this equation tell us?​

Answers

Answer:

30 plus 70 equals 100

Step-by-step explanation:

it tells the gum explicit equation

Simplify -4 + (-3) + 6.

Answers

Answer:3/6 in simplest fraction form is 1/2.

Step-by-step explanation:EASY and my chanel is FireFlameZero if u can check dat out

A restaurant charges large parties an amount that depends on the number of people
that are eating. The restaurant charges $650 for 25 people and $1,850 for 80 people.
What is the restaurant charging per person (unit rate)?

Answers

Answer:

$26 per person or $23.125 per person for the bigger group

Step-by-step explanation:

evaluate g(x)=x/x-3, if g(1/2)

Answers

Answer:

-1/5

Step-by-step explanation:

g(x) = x/(x-3)

Substituting x = 1/2 in g(x),

g(1/2) = 1/2/(1/2-3)

= 1/2/(1/2-6/2)

= 1/2/(-5/2)

= 1/2 ÷ - 5/2

= 1/2 x -2/5

= - 1/5

Step-by-step explanation:

here is your answer

here is your answer

Round 51,939 to the nearest thousands

Answers

Answer:

50,000

Step-by-step explanation:

in my opinion I would think this would be the answer because you are rounding to the nearest 10,000

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