A local artisan makes handmade ceramic vases and bowls. Each vase takes 3 hours to make and each bowl takes 2 hours to make. He is limited to at most 30 hours of work time a week and would like to produce at least 12 items weekly.

Write a system of inequalities that represents the situation.
Group of answer choices

3v + 2b ≤ 30
3v + 2b ≥ 12

3v + 2b ≥30
v + b ≤ 12

2v + 3b ≤ 30
v + b ≥12

3v + 2b ≤ 30
v + b ≥ 12

Answers

Answer 1
3 = v
2 = b

3h+2h is less than or equal 30
v+b is greater than or equal to 12

so it is the last set of inequalities

Related Questions

wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 2,000,000. 18) Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Answers

Answer:

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

3.5% of the people in the area where a large wedding is to be held are pollotarian.

This means that [tex]p = 0.035[/tex]

300 guests

This means that [tex]n = 300[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.035[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106[/tex]

What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?

This is 1 subtracted by the pvalue of Z when X = 0.05. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.05 - 0.035}{0.0106}[/tex]

[tex]Z = 1.41[/tex]

[tex]Z = 1.41[/tex] has a pvalue of 0.9207

1 - 0.9207 = 0.0793

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Answer:7.93%

Step-by-step explanation:


I don’t know how to solve the question so can you explain how you did it so I don’t have to come back on this app.

Answers

The answer is 16.

—Explanation—
•] You can calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $16 as follows: $16 x .10 = $1.60 savings.
•] you get the final price by simply deducting .10 from 1 and multiplying it by $16 as follows: (1 - .10) x $16 = $14.40 final price.

Find the measures of the numbered angles in each kite. I need the answer as fast as possible!!!!!!

Answers

Answer:

1 = 20°

2 = 90°

3 = 70°

4 = 55°

What is the circumference of the circle below? Use 3.14 for π.

Answers

Answer:

78.5

Step-by-step explanation:

.....ur welcome.........

3.14×5²

Answer:

C. 31.4

Step-by-step explanation:

To find circumference, you need to use πd. Or just pi times whatever the circumference is. Hope this helped you!!!

A girl with a height of 5 ft casts a shadow of 2 ft. What would be the height of a building that casts a shadow 50 ft long at the same time?​

Answers

Answer:The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

Step-by-step explanation:

Which unique sequence of rigid motions maps quadrilateral ABCD to quadrilateral EFGH?
6
5
A
IB
x
634
1 2 3 4 5 6
E
G
A
A reflection over the x-axis followed by a translation of (z,y) → (2, y - 4).
B. A reflection over the y-axis followed by a translation of (1,y) → (I, y-6).
C. A translation of (I, y) + (1, y-3) followed by a reflection over the y-axis.
A translation of (€,y) → (3-6, y) followed by a reflection over the x-axis.

Answers

Answer:

The unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are;

B. A reflection over the y-axis followed by a translation of (I, y) → (I, y - 6)

('I' is the image of 'x' after reflection)

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral ABCD are;

A(-5, 4), B(-2, 4), C(-2, 1), and D(-5, 2)

The coordinates of the vertices of the quadrilateral EFGH are;

E(5, -2), F(2, -2), G(2, -5), and H(5, -4)

By analysis, we have;

The signs of the x-coordinate of the preimage and the image are opposite, therefore, one of the rigid motions is a reflection across the y-axis

Similarly, the common difference between the y-coordinate values of the image and the preimage are;

-2 - 4 = -6

-2 - 4 = -6

-5 - 1 = -6

-4 - 2 = -6

The common difference between the y-coordinates of the image and the preimage is -6, therefore, the y-values are obtained by a translation of y - 6 units

Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are a reflection over the y-axis followed by a translation of (I, y) → (I, y - 6).

the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold

Answers

Answer: 20 cups :DD

Step-by-step explanation:

Simplify 3x + 3 + 2

3x+5

5x+3

8×​

Answers

Answer:

3x+5

Step-by-step explanation:

What is the value of x?
Enter your answer in the box.

Answers

Answer:

We say that a function is increasing on an interval if the function values increase as the input values increase ...

Step-by-step explanation:

I need this for math thanks

Answers

I’ll answer, but wait, do I send a picture of my work? or not? It says I have to make a table of values, so

i don’t know i’m sorry man

solve the rational equation 8-6/x=5+12/x

Answers

I’m not really a math person but I got
x=6

x=6 is the answer to 8-6/x=5+12/x

Which of the following functions is NOT a linear function?
A y = 5
B
y == 5x
C y = 5(x - 2)
D y == 5x – 2 + x?

Answers

A. y = 5, is the correct answer.

B, C, D are all able to form into the y = mx + b equation, so it's not correct. A is not able to form that equation, therefore, A is correct. Hope that helps :)

Solve for x and show work!

Answers

Answer: x=8

Step-by-step explanation:

We know that it is a square, so the diagonals divide the four triangles evenly.

A whole circle will have 360°. When it is divides into 4, each angle will be

360/4=90°

The vertex of each triangle will be 90°

And the given vertex equation is 8x+26

8x+26=90

8x+26-26=90-26

8x=64

x=8

Hope this helps!! :)

Please let me know if you have any questions

An element with a mass of 700 grams decays by 6.1% per minute. To
the nearest tenth of a minute, how long will it be until there are 220
grams of the element remaining?

Answers

Answer

m =18.4 minutes

Step-by-step explanation:

220 = 700 x  (0.939)^m

220/700 = (0.939)^m

m = Log(220/700) / Log(0.939)

m =18.4 minutes

Answer: the answer would be 18.4 minutes

Step-by-step explanation:

Payne saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. How many years did he save his money?

Answers

the answer if 7 years, if you multiply 2,000 by .02 it equals 40. so you divide 280 by 40 and get 7

a. Economic theory describes the relationship between inflation and unemployment as:
O positive.
O negative.
O independent
b. Using real-world data, this theory:
O is never found to be true.
holds only for certain time periods.
holds for all time periods.
c. True or false: Economists unanimously agree with the Phillips curve representation of unemployment and inflation in the
real world.
False
True

Answers

Answer:

1: The correction option is B) Negative

Explanation

In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.

The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves,  it is assumed that there is a requirement to being in more hands to help with the expansion of the business.

2. The correct option is B) Holds for certain time periods

Explanation

Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.

The following results emerged:

the traditional relationship between inflation and unemployment held in 2001 during the mild recession triggered by the 9/11 situation. Unemployment took an upward spiral averaging an increase of 6% while inflation nosedived by 2.5%;Another snapshot was taken in the mid-2000s. This time unemployment went belly-up by several degrees, while inflation took off in the opposite direction by almost 5% before receding in 2006 when unemployment bottomed; In another analysis, the consumer price index took a steep downward dive during the Great Recession. This time, unemployment took a bullish charge, going up as much as 10%This negative relationship failed to hold between 2012 to 2015. Both factors developed a positive relationship and moved in the same direction; There has also been a loss of strength in the negative relationship as also seen in recent times. Specifically, between 2016 to 2019 where unemployment has steadily receded to 50-year lows, with inflation remained steady at an average of 2%.  

So the correct answer is B.

3. The correct answer is True:

Explanation

As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.

Cheers

PLEASE HELP- VKLFNJOF:L

Answers

Answer:

−4m + 10

Step-by-step explanation:

Combine Like Terms:

= 6m + 10 + −10m

= (6m+−10m) + (10)

= −4m + 10

Hope it helped.

Subtract 10m from 6m.
Answer:
−4m + 10
Hope this helps, have a good one ^,^

Can some help with this and maybe explain​

Answers

Answer:

Step-by-step explanation:

81 = m/9

Divide both sides by 9

9 = m

h ÷ 3 = 12

h = 12/3 = 4

In this way you have to solve the other questions

is anyone good with Vertex Angles? i need help

Answers

Answer:

t=5

Step-by-step explanation:

Vertical angles are congruent

So we put the value equivalent to each other

110=4t+90

Isolate t

110=4t+90

-90      -90

20=4t

Divide to isolate t

20/4=4t/4

5=t

Create an inequality to describe the possible values for the total area, A, in square feet of your green section.

Answers

The Area of triangle represented using inequality is A ≤  48.67 [tex]ft^{2}[/tex].

What is Area of triangle?

The area of a triangle is half the product of its base and height.

i.e., Area of triangle= [tex]\frac{1}{2} * b* h[/tex]

Given, b= 6.2 feet and h= 15.7 feet

Area of triangle= [tex]\frac{1}{2} * b* h[/tex]

                          = 0.5 x 6.2 x 15.7

                          = 48.67 [tex]ft^{2}[/tex]

The inequality will be: Area of triangle, A≤  48.67 [tex]ft^{2}[/tex]

learn more about Area of triangle here:

https://brainly.com/question/19305981?

#SPJ2

Simplify the expression by combining like terms:
5c2 + 13c + 4 – 7c + 9

Answers

Answer:

5c^2 +6c +13

Step-by-step explanation:

so we can see than 5c^2

and 13c - 7c are the same = 6c

and 4 +9 = 13

so answer will 5c^2 +6c +13

Answer:

[tex] {5c}^{2} + 6c + 13[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex] {5c}^{2} (13c - 7c) + (4 + 9)[/tex]

2) Simplify.

[tex] {5c}^{2} + 6c + 13[/tex]

Therefor, the answer is 5c² + 6c + 13.

Find the value of x for ABCD is a parallelogram

Answers

Find parallelogram ABCD attached

Answer:

x = 3

Step-by-step explanation:

In parallelograms, the diagonals typically divide each other into 2 equal parts.

This means that from the attached parallelogram, we can say that;

4x - 6 = 2x or 6x - 15 = x

Thus;

4x - 2x = 6

2x = 6

x = 6/2

x = 3

Let's confirm with the second equation;

6x - x = 15

5x = 15

x = 15/5

x = 3

Juanita is a 28-year old female college graduate from the South. Molly is a 28-year female college graduate from the West. Jennifer is a 28-year female college graduate from the Midwest. (i) Construct a 95% confidence interval for the difference in expected earnings between Juanita and Molly. (ii) Explain how you would construct a 95% confidence interval for the difference in expected earnings between Juanita and Jennifer.

Answers

Answer:

Hello your question has some missing information attached below is the missing information

answer :

i) ( 0.158 , - 1.018 )

ii)  the difference in expected earnings can be computed as

( [tex]X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}[/tex]

Step-by-step explanation:

i) Construct a 95% confidence interval ( between Juanita and Molly )

Expected difference in earnings = ( X[tex]_{6}[/tex][tex]_{,A}[/tex] - X[tex]_{6.B}[/tex]) = [tex]\beta _{0}[/tex]= ( [tex]\beta + \beta _{6}[/tex] )

∴ 95% confidence interval

-0.43 ± 1.96 * 0.30 = [ -0.43 ± 0.588 ] =  ( 0.158 , - 1.018 )  ( hence confidence interval at 95% = 1.96 )

ii) Construct a 95% confidence interval ( between Juanita and Jennifer )

Juanita is a student from the south and Jennifer is a student from Midwest

therefore the difference in expected earnings can be computed as

( [tex]X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}[/tex]

therefore a 95% confidence interval can be calculated with the above regression model.

Solve for pizza in the pie chart!

Answers

Answer:

24

Step-by-step explanation:

30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24

Answer:

The answer is 24 students

Step-by-step explanation:

The pizza section of the pie chart is 30% and the total amount of students is 80 so you just have to find 30% of 80. You find this by multiplying 80 times .3 . Then you will get 24.

How many is it all together

Answers

There’s no data for us to see?
What are the numbers?

A part of an exponential function is graphed on the grid.
10
6
3
1
1
Which inequality best represents the domain of the part shown?
AX22
By 24.5
CX> 4.5
DY22

Answers

Answer:

x ≥ -2

Step-by-step explanation:

my teacher went over this with us

**Help Needed**
The picture below is a sketch of a picnic area with a courtyard. How much of the courtyard is available for use?

Answers

Answer:

87 m²

Step-by-step explanation:

The picnic area is the white inner rectangle, while the courtyard is the outer pink rectangle.

The area of the courtyard available for use = area of the pink rectangle - area of the white rectangle

✔️Area of the courtyard (pink rectangle) = L*W

L = 13 m

W = 7 m

Area of pink rectangle = 13*7 = 91 m²

✔️Area of the picnic (white rectangle) = L*W

L = 4 m

W = 1 m

Area = 4*1 = 4 m²

✅Area available in the courtyard for use = 91 m² - 4 m² = 87 m²

Find a positive angle less than 360° that is coterminal with the given angle.
410°

Answers

Answer:

50°

Step-by-step explanation:

Subtract 360° from 410°

50° is positive, less than 360°, and is a coterminal of 410°

i believe thats 50°

Type the correct answer in each box. Use numerals instead of words.
Consider function h.
What are the values of the function when x= 0 and when x=4
h(0)=
h(4)=

Answers

Answer:

10 16

Step-by-step explanation:

when x= 0 h(x)=2x²-3x+10

⇒ h(0)=2*0²-3*0+10=10

when x= 4 h(x)=[tex]2^{x}[/tex]

⇒ h(4)=[tex]2^{4}[/tex]=16

The value of the given piecewise function at [tex]x=0[/tex] is [tex]h(0)=10[/tex] and the value of the function at [tex]x=4[/tex] is [tex]h(4)=16[/tex].

Important information:

The given piecewise function is:

         [tex]h(x)=\begin{cases}3x-4, &x < 0 \\ 2x^2-3x+10, &0\leq x < 4 \\ 2^x, & x\geq 4\end{cases}[/tex]

Piecewise Function:

The function for [tex]x=0[/tex] is [tex]h(x)=2x^2-3x+10[/tex].

[tex]h(0)=2(0)^2-3(0)+10[/tex]

[tex]h(0)=10[/tex]

The function for [tex]x=4[/tex] is [tex]h(x)=2^x[/tex].

[tex]h(4)=2^4[/tex]

[tex]h(4)=16[/tex]

Therefore, the required values of the piecewise function are [tex]h(0)=10[/tex] and [tex]h(4)=16[/tex].

Find out more about 'Piecewise Function' here:

https://brainly.com/question/17966003

Complete the equation of the line whose y-intercept is (0, -1) and slope is 4.
(Khan academy)

Answers

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

Here m is slope and b is y-intercept

m = 4;  b = -1  

y = 4x - 1

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