Shelby has a lemonade stand in her front yard. She has enough supplies to make a maximum of 192 ounces of lemonade. A large cup holds 14 ounces of lemonade and a small cup holds 8 ounces of lemonade. x = number of large cups y = number of small cups Which inequality in standard form represents this situation? A) 14 + x + 8 + y ≥ 192 B) 14 + x + 8 + y ≤ 192 C) 14x + 8y ≥ 192 D) 14x + 8y ≤ 192

Answers

Answer 1

Considering the capacity of each cup, the inequality that models the situation is:

D) 14x + 8y ≤ 192

A large cup holds 14 ounces of lemonade.There are x large cups.A small cup holds 8 ounces of lemonade.There are y small cups.

From the bullet-point, the total amount that can be held is:

\(T = 14x + 8y\)

She has enough supplies to make a maximum of 192 ounces of lemonade, hence:

\(T \leq 192\)

\(14x + 8y \leq 192\)

Hence option D is correct.

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Related Questions

please help this is really urgent ​

please help this is really urgent

Answers

Answer:

4,6,8,10

Step-by-step explanation:

4+6+8+10=28

Hope this helps!

the answer is 7
7 x 4 = 28

AB is parallel to ED.

ACD and BCE are straight lines.

AB = 8 cm

AC = 4.8cm

BC = 6.4cm

ED = 20 cm

Work out the length of BE.​

AB is parallel to ED.ACD and BCE are straight lines.AB = 8 cmAC = 4.8cmBC = 6.4cmED = 20 cmWork out the

Answers

Answer:

BE = 22.4 cm

Step-by-step explanation:

Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is

\(\frac{CB}{CE}\) = \(\frac{AB}{DE}\) , substitute values

\(\frac{6.4}{CE}\) = \(\frac{8}{20}\) ( cross- multiply )

8 CE = 128 ( divide both sides by 8 )

CE = 16 cm

Then

BE = BC + CE = 6.4 + 16 = 22.4 cm

336,765=3,14×0.55×(l+0.55) please help​

Answers

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

s there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 11, 41, 71, 101, 141 you need to enter either yes or no on the answer sheet. (b) is there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 101, 141, 41, 11 you need to enter either yes or no on the answer sheet. (c) is there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 1

Answers

a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.

What is Binary Search Tree?

A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.

It is a binary tree in which each node has at most two children, called left and right children.

Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows

(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.

(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.

This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.

Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached

revisit nodes with smaller values.

(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.

Therefore

a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.

b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.

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can someone help me with this

can someone help me with this

Answers

Answer:

3/8 = 9/24

7/6 = 28/24

Step-by-step explanation:

I don’t know how to do this can u help

I dont know how to do this can u help

Answers

Given:

Given a triangle.

Required:

To find the remote interior angles of angle 1.

Explanation:

Remote interior angles are angles that don't share a vertex or corner of a triangle with the exterior angle.

Here the remote interior angles of angle 1 are

\(\angle4\text{ and}\angle6\)

Final Answer:

Option C and F are correct.

\(\operatorname{\angle}4\text{ and}\operatorname{\angle}6\)

a discussion of digital ethics appears in an article. one question posed in the article is: what proportion of college students have used cell phones to cheat on an exam? suppose you have been asked to estimate this proportion for students enrolled at a large university. how many students should you include in your sample if you want to estimate this proportion to within 0.07 with 95% confidence? (round your answer up to the nearest whole number.)

Answers

Number of students included  in the sample to estimate the proportion with confidence interval 95% is equal to 9604.

As given in the question,

Confidence interval = 95%

z -critical value for 95% confidence interval = 1.96

Estimate proportion is in the limit 0f 0.07

Let us assume value of

sample proportion 'p' = 0.5

Margin of error  = 0.01

level of significance = 0.05

let 'n' be the sample size to represent number of students included for the hypothesis.

n = p ( 1 - p ) ( z- critical value / margin of error )²

⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²

⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)

⇒ n = 0.25 × 38416

⇒ n = 9604

Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.

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A family with 4 adults and 3 children spends 47 for movie tickets at the theater. Another family with 2 adults and 4 children spends 36 . What is the price of a child's ticket in dollars?

Answers

Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

Please help me on this question.

For what value of x is line m parallel to line n?

Please help me on this question.For what value of x is line m parallel to line n?

Answers

Answer:

x=42

Step-by-step explanation:

Step 1) 105=3x-21

Step 2) 126= 3x

Step 3) 42=x

Plzzzz help I’ll give Brainiest to whoever gives me the answer!!!!!

Plzzzz help Ill give Brainiest to whoever gives me the answer!!!!!

Answers

Answer:hello

Because negative can't go under the radical 2

For example we can't find two number that multiplication of them be negative. 2×2=4,-2×-2=4.

I'll hope that l explane for you weel

Step-by-step explanation:

Please answer both I'm really struggling with my homework

Please answer both I'm really struggling with my homework

Answers

1/64 & 16
hope that helped :)

Answer:

\(D. \frac{1}{64}\)  C. 16

Step-by-step explanation:

Second question:

\(2^{3}\) = 2 × 2 × 2 = 8Plug 8 in: 6 ÷ 3 × 86 ÷ 3 = 2Plug 2 in: 2 × 8 = 16

I hope this helps!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS

Answers

Answer:

a no b yes c no d no e yes

Step-by-step explanation:


What is the answer

Whoever gets the answer right gets brainliest

What is the answerWhoever gets the answer right gets brainliest

Answers

Answer:

B

Step-by-step explanation:

8f=10

f=1 1/4

Math help please show work

Math help please show work

Answers

Answer:

7 in

Step-by-step explanation:

Math help please show work

Answer:

a = 7 in

Step-by-step explanation:

\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)

I am less than 10 l am not a multiple of 2 l am a composite number.

Answers

Answer:

9 is the answer

Step-by-step explanation:

if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9  but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer

The number which is less than 10,  not a multiple of 2, and is a composite number, is 9.

What is multiplication?

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

I am less than 10 l am not a multiple of 2 l am a composite number,

The numbers which are less than ten are,

9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The numbers which are not the multiple of 2 are shown below,

9, 7, 5, 3, 1, 0

The numbers which are composite are shown below,

9 = 3 × 3

Thus, The number is 9.

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A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)

Answers

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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If tan m = one-half and tan n = â€"6, what is the exact value of tan(m n)?

Answers

Since tan m = 1/2 and tan n = -6, the precise value of tan (m+n) will be 3.51.

What is tangent?

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle. The law of tangent is another name for tan. The ratio of a triangle's opposing side to its adjacent side is known as the tangent formula for a right-angled triangle. The angle's sine to cosine ratio can also be used to represent the angle.

Here,

tan m= 1/2

tan n= -6

m=tan inverse(1/2)

n=tan inverse(-6)

m=26.565 degrees

n= -80.537 degrees

n=360-80.537

n=279.463 degree

tan (m+n)=tan(26.565+279.463)

tan 306.028=3.51

The exact value of tan (m+n) will be 3.51 as the value of tan m= 1/2 and tan n= -6.

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In an AP statistics class, there are 30 students. 15 have long hair and15 have short hair. 3 students with long hair and 5 students withshort hair have As. What is the probability of choosing a studentwith long hair or an A student?

Answers

Here, we want to calculate the probability of choosing a student with long hair or an A student

From the question, the number of students with long hair is 15

The number of students having an A grade is 3 + 5 = 8 students

The probability of choosing a student with long hair is;

\(\frac{no\text{ of students with long hair}}{\text{Total number of students}}\text{ = }\frac{15}{30}\text{ = }\frac{1}{2}\)

The probability of choosing an A student is;

\(\frac{no\text{ of students with A}}{\text{Total number of students}}\text{ = }\frac{8}{30}\text{ = }\frac{4}{15}\)

Finally, the probability of choosing a studen

What is the process of eliminating a radical sign form the denominator?

Answers

The process of eliminating a radical sign from the denominator involves rationalizing the denominator by multiplying both the numerator and the denominator by a suitable expression that will eliminate the radical.

When a radical sign (such as a square root) appears in the denominator of a fraction, it is often desired to eliminate it in order to simplify the expression. To do this, we can use a technique called rationalizing the denominator.

For a radical expression in the denominator, the goal is to multiply the numerator and denominator by an expression that will result in the elimination of the radical. This is achieved by multiplying the fraction by a conjugate, which is the same as the denominator but with the opposite sign in the middle. By doing this, we create a difference of squares that eliminates the radical.

Once the multiplication is performed, the resulting expression will have a rational denominator without any radical signs. This allows for easier computation and manipulation of the fraction. It is important to simplify the resulting expression further if possible by factoring or applying other algebraic techniques.

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what is 5x+4=3x+12.6

Answers

Answer:

x = 4.3

Step-by-step explanation:

5x+4=3x+12.6

2x+4=12.6

2x=8.6

x=4.3

3x-18 >3
need to solve for X

Answers

Answer:

x > 7

Step-by-step explanation:

3x-18 > 3

+18 3x-18 > 3 +18

3x > 21

x > 7

Replace x with 3…… 3(3)-18= -9

all rational numbers are integers trure or false​

Answers

Answer:

False

Step-by-step explanation:

all rational numbers are integers trure or false
False
All rational numbers are no integers

Forty percent of the pupil in m. Alcantara' grade 6 claa are 12 year old. Another 0. 25 are 13 year old and the ret of the cla i 11 year old. Write 11 a a fraction,decimal,and percent

Answers

Answer:

7/20

0.35

35%

Step-by-step explanation:

12 year olds: 40%

12 year olds: 25%

11 year olds: 100% - 40% - 25% = 35%

35% = 35/100 = 7/20

35% = 0.35

35% = 35%

A car originally sold for $25,900. it depreciates exponentially at a rate of 8.2% per year. nina put $10,000 down and pays $550 per month to pay off the balance. after how
what will that value be?
many years will her car value equal the amount she paid for the car to that point?

Answers

After 1.8 years, the value equals the amount she paid for the car.

The value will be $ 22,131.10.

To solve the problem, find both the expense equation and depreciation equation.

The exponential depreciation equation will be:

\(y=25,900(1-0.082)^x\)

Where x represents time in years.

The expense equation will be: y=550 x+10,000

Where x represents the number of months that have passed

If x represents time in years in the expense equation, then it determines the yearly payment rather than the monthly payment.

Over the course of the year, Nina will have paid 550(12) or $ 6,600 in car payments.

The new yearly expense equation will be: y=6,600 x+10,000

Where x is time in years.

Use the two equations to find the point of intersection which will give the time she paid for the car and the value paid by her.

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A common at-home workout that features high-intensity cardio, strength-building exercises, and focuses on total body fitness might be:____.

Answers

A common at-home workout that features high-intensity cardio, and strength-building exercises, and focuses on total body fitness might be a 21-day or 60-day "challenge". Thus, the correct option is C.

Body fitness may be defined as an ability of a person to perform daily physical activities with normal performance, endurance, and strength. This fitness assists the individual in the regulation of disease, fatigue, and stress and reduced inactive behavior.

People who performed high-intensity cardio, and strength-building exercises, in their home and focus on total body fitness must be actively involved in the 21-day or 60-day "challenge".

A 21-day or 60-day "challenge" would be self-selected by an individual in order to maintain their overall physical fitness.

Therefore, the correct option for this question is C.

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Mia crosses a river when she drives from her house to the beach. The graph of the function d(t) = 40|t − 1.25| shows Mia’s distance from the river d, in miles, after t hours.
The domain of the function is 0 ≤ x ≤ 2.5. The graph shows her entire trip

Answers

Mia’s distance from the river is decreasing in the interval  0 < t < 2.5 and

Mia drives 100 miles to the beach.

How to determine the decreasing interval?

The complete question is added at the end of this solution as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we can see that the values of the graph decrease from t = 0 to t = 2.5

When represented as an interval, we have

0 < t < 2.5

Hence, the decreasing interval is 0 < t < 2.5

How to determine the total distance travelled

From the graph, we can see that the distance travelled in each half is 50 miles

So, the total distance is

total =50 + 50

Evaluate

total = 100

Hence, the total distance travelled is 100 miles

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Complete question

Mia crosses a river when she drives from her house to the beach. The graph of the function d(t) = 40|t − 1.25| shows Mia’s distance from the river d, in miles, after t hours.

The domain of the function is 0 ≤ x ≤ 2.5. The graph shows her entire trip

Complete each sentence to make a true statement.

Mia’s distance from the river is decreasing in the interval  Choose... 0 < t < 1.25 or 1.25 < t < 2.5  .

Mia drives  Choose... 40 or 80 or 60 or 100  miles to the beach.

Mia crosses a river when she drives from her house to the beach. The graph of the function d(t) = 40|t

For each sequence below, identify the next two terms.
5, 1, 7, 3, 9... *

For each sequence below, identify the next two terms.5, 1, 7, 3, 9... *

Answers

Answer:

5, 11

Step-by-step explanation:

the number is subtracting 4 adding 6 subtracting 4 adding 6

x + 2x +17=25 I need the answer and need do you know how to check if it's right ​

Answers

Answer:

x=8/3

Step-by-step explanation:

x+2x+17=25

3x+17=25

3x=8

x=8/3

Answer:

X = \(\frac{8}{3\\}\)

Step-by-step explanation:

Olivia prepared 30 kilograms of dough after working 6 hours. How much dough did Olivia prepare if she worked for 10 hours? Solve using unit rates.

Answers

Answer:

50 kg

Step-by-step explanation:

6/30 = 5 which means she makes 5 kg every hour

so with the given information you multiply 5 and 10 and that's how you get 50

i hope this helps! :)

What is the total displacement of the object?


m

What is the total displacement of the object? m

Answers

Answer:What is the total displacement of the object?

562.5 m

Step-by-step explanation:

ed. 2021

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Moderate consumption of wine, beer or spirits is classified as need help please lol ! spanish 2 semester 2 1.5.3 TST the entire house was painted by Tom is this a active sentence or a passive sentence Read the excerpt from "The Gift of the Magi." This excerpt is an example of which kind of characterization? Had the queen of Sheba lived in the flat across the airshaft, Della would have let her hair hang out the window some day to dry just to depreciate Her Majesty's jewels and gifts. O indirect characterization, because it is showing Della's pride in her long hair O direct characterization, because it is describing Della's skill for decorating O indirect characterization, because it is revealing Della's cultural heritage O direct characterization, because it is describing Della's prized possessions which electromagnetic radiation wavelength is efficiently observed using ground based telescopes? a. radio b. infrared c. visible d. X-rays. 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The holding cost per box per year is $120, and the cost of placing an order is estimated at $40. The purchase price per box is $450. Assume that demand is known and constant.A. Determine the optimal order quantity of for Specimen Collection Toolkit.B. Determine the total annual ordering and holding costs.C. Management would prefer to set the holding cost as a percentage of purchase price. Thirty percent of the items price seems appropriate. Determine the new optimal order quantity and total costs.D. What is the relative difference between the economic order quantities (EOQs) found in "A" and "C"? What is the relative difference in total annual costs found in "B" and "C"? What is your conclusion? [Hint: This task is simple difference calculation in %] A recipe calls for 4.5 teaspoons of Suger for 3 dozen cookies explain the process to find how much is needed for each dozen What other rulers in Europe were concerned about events in France? Explain their concerns. 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