The manager at a ice cream shop keeps track of the number of deluxe cones and regular cones sold each day and the total money received. On Wednesday, a total of 86 cones were sold, and the money collected was $534. If deluxe cones are sold for $9 and regular cones are sold for $5, how many deluxe cones and regular cones were sold?

Give your answer as an ordered pair (x,y), where x is the number of deluxe cones and y is the number of regular cones.

Answers

Answer 1

The number of regular cones sold on Wednesday is 60, while the number of deluxe ones sold is 26.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of regular cones sold be x, and the number of Deluxe cones sold be y. Therefore, total number of cones sold can be written as,

x + y = 86

x = 86 - y

Now, the total money collected can be written as,

5x + 9y = 534

5(86 - y) + 9y = 534

430 - 5y + 9y = 534

4y = 104

y = 26

substitute the value of y in the first equation,

x = 86 - 26

x = 60

Hence, the number of regular cones sold on Wednesday is 60, while the number of deluxe ones sold is 26.

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Related Questions

Use the drawing tools to form the correct answer on the graph. Draw a point that belongs to the solution region of this system of inequalities.

Answers

#1

y>1.5^x+4

Find y intercept

y>1+4y>5

#2

y<2/3x+6

Y intercept

y<6

Both graphs attached

An point should be (1,6)

Answer:

< or > = dashed line

≤ or ≥ = solid line

< or ≤ = shade below the line

> or ≥ = shade above the line

To draw:

[tex]y < \dfrac{2}{3}x+6[/tex]

Treat as a linear equation.

Find 2 points:

[tex]x=0 \implies y=\dfrac{2}{3}(0)+6=6 \implies (0,6)[/tex]

[tex]x=3 \implies y=\dfrac{2}{3}(3)+6=8 \implies (3,8)[/tex]

Plot the 2 points and draw a dashed straight line through them.

To draw:

[tex]y > 1.5^x+4[/tex]

Treat as an exponential equation.

Find y-intercept:

[tex]x=0\implies y=1.5^0+4=5\implies (0,5)[/tex]

End behaviors:

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]

[tex]\textsf{As } x \rightarrow - \infty, f(x) \rightarrow 4[/tex]

Draw the curve as a dashed line.

Once both lines are drawn, shade the overlapping region below the linear inequality and above the exponential inequality.  

A point that belongs to the solution is any point in the shaded area,
e.g. (1, 6)

x² + 10x + 3 = -21?!?!!?!?!!!?

Answers

Answer:

-6,-4

Step-by-step explanation:

if you have to evaluate its 4

and there is 2 solutions

2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the Box Plot

Answers

The measures of central tendency for this data set are as follows:

Mean = 3.55.Median = 3.5.Mode = 3.

How to calculate measures of central tendency?

In Mathematics, there are three (3) main measures of central tendency and these include the following:

MeanMedianMode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

How to calculate the mode?

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

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Maurisa gets $8 per week for an allowance. She saves 25% of her allowance each week.How long will it take maurisa to save $16?

Answers

Answer:

8weeks

Step-by-step explanation:

$16÷(25/100×$8)=8

Which of the following best describes the graph below?
54 -3 -2 -1
PINT
123 to
3
A. It is not a function.
B. It is a many-to-one function.
C. It is a function, but it is not one-to-one.
D. It is a one-to-one function.

Answers

B. It is a many-to-one function.

Michael Jordan scores the following points over 8 games: 24, 17, 28, 19, 23, 20, 13, 19. What is the mean (average) number of points she scored over those 8 games

Answers

Answer:

19

Step-by-step explanation:

Answer:

20.375

Step-by-step explanation:

To calculate the mean, in this situation, you first add up the game scores and divide it by the amount of games.

So, first we add 24+17+28+19+23+20+13+19 = 163

Because there are 8 games, we do 163 / 8 = 20.375

or 20.4 to 1dp

Hope this helped! If anything requires clarification, don't hesitate to ask me. I can assure you this is the right answer.

- profparis

Charles would like to buy a new car that costs $32 000. The dealership offers to finance the car at 2.4%/a compounded monthly for five years with monthly payments. The dealer will reduce the selling price by$3000 if Charles pays cash. Charles can get a loan from his bank at 5.4%/a compounded monthly. Which is the best way to buy the car? Justify your answer with calculations.

Answers

Charles would like to buy a new car that costs $32 000. The dealership offers to finance the car at 2.4%/a, it's best for Charles loans from the bank to buy car.

Which is the best way to buy a car?

Generally, the equation for the monthly loan payment is mathematically given as

[tex]R=\frac{\frac{iP}{N}}{1-(\frac{1}{N})^{NY}}[/tex]

Therefore

[tex]R=\frac{\frac{0.024*32000}{12}}{1-(\frac{0.024}{12}+1)^{-12*5}}[/tex]

R=566.51

Hence the total payment is

T=R*N*Y

T=33990.34

By taking a loan of 29000, and applying the equation

T'=33155.77

In conclusion, it is best for Charles loans from the bank to buy a car.

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I need help please asap?!!!

Answers

Answer:

3660

Explain

3660ml×1L/100ml

= 3.66L

3.66 L i hope this helps love <3

The graph represents the height of a ball after being thrown versus time. Which statement is true? A. The ball attains a maximum height of 70 meters at 4 seconds. B. The ball attains a maximum height of 4 meters at 70 seconds. C. The ball attains a maximum height of 70 meters at 2 seconds. D. The ball attains a maximum height of 2 meters at 4 seconds.

Answers

The statement which is true about the thrown ball is that A. The ball attains a maximum height of 70 meters at 4 seconds

What is a Maximum Height?

This refers to the highest vertical projectile that an object can attain when acted upon by an external force.

Given the attached diagram that shows the graph of the projectile of the ball, we can observe that its maximum height before it began to fall is 70 meters at 4 seconds based on the values on the x and y-axis.

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50 POINTS!! What is (-4, 3) (-3, -1) in point slope form?
Y=4x+16
Y-3=-4(x+4)

Answers

Answer: y - 3 = -4(x + 4)

Explanation:

[tex]\bf point \ slope \ form: y-y_{1}=m\left(x-x_{1}\right)[/tex]

Find the slope:      given points: (-4, 3), (-3, -1)

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Insert values

[tex]\rightarrow \sf slope: \ \dfrac{-1-3}{-3-(-4)} =-4[/tex]

Equation in point slope form:

[tex]\sf\rightarrow y - 3 = -4(x - (-4))[/tex]

[tex]\sf\rightarrow y - 3 =-4(x + 4)[/tex]

Additional, in slope intercept form:

[tex]\sf\rightarrow y = mx + b \quad where \ 'm \ is \ slope' \ and \ 'b \ is \ y-intercept'[/tex]

[tex]\sf\rightarrow y = -4 x - 16 +3[/tex]

[tex]\sf\rightarrow y = -4x -13[/tex]

What are the coordinates of point F?

Answers

Answer:

C. 4, -2 1/2

Step-by-step explanation:

(x,y)

its kinda easy

The answer is A (4,-2 1/2) :)

How many years will Samsung galaxy 2 in 1 laptop last

Answers

Answer:

i think 6 years because i always used it

Step-by-step explanation:

make me my brainliest answer

A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?

Answers

Answer:

4

Step-by-step explanation:

1 g = 1,000 mg

1,000/250 = 4

Expand and simplify: (-7y - 8) (y - 4)

Answers

Simplification

Expand and simplify: (-7y - 8) (y - 4)

To expand an expression, use FOIL method.

F - First

Multiply the first term in each expression inside the parentheses.

-7y and y are the first terms in each expression.

(-7y)(y) = -7y²

O - Outside

Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)

-7y is the first term in the first expression

-4 is the last term of the second expression

(-7y)(-4) = 28y

I - Inside

The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)

-8 is the last term in the first expression

y is the first term in the second expression

(-8)(y) = -8y

L - Last

Last step is to multiply the last term in each expression.

-8 is the last term of the first expression

-4 is the last term of the second expression

(-8)(-4) = 32

Combine all simplified terms.

-7y² + 28y - 8y + 32-7y + 20y + 32

Answer:

-7y + 20y + 32

Wxndy~~

Please help you can see how stressed I am

Answers

answer send in this photo there is answer any doubt you can ask again

You play a game that requires rolling a six-sided die and then randomly choosing a colored card from a deck containing 3 red cards, 6 blue cards, and 8 yellow cards. Find the probability that you will roll a 5 on the die and then choose a red card.

Answers

The probability of getting a red card and rolling a 5 is = 3/85

How to find the probability?

First, we want to find the probability of rolling a 5.

There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:

P = 1/5.

Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:

P' = 3/(3 + 6 + 8) = 3/17

The joint probability is given by the product between the individual probabilities:

prob = P*P' = (1/5)*(3/17) = 3/85

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What are the vertical and horizontal asymptotes for the function f(x)=3^2/x^-4
O horizontal asymptote: y = -2, y = 2
vertical asymptote: x = 3
O horizontal asymptote: y = -4, y = 1
vertical asymptote: x = 3
O horizontal asymptote: y = 3
vertical asymptote: x=-4, x=1
O horizontal asymptote: y = 3
vertical asymptote: x= -2, x=2
3x²242
?
-4

Answers

The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3

Option A is the correct answer.

What are Function?

Function are mathematical statement which links an independent variable to dependent variable.

It always comes with a defined domain and range.

The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-4}[/tex]

This function can also be written as

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}[/tex]

Vertical asymptotes are defined when the denominator of a rational function tends to zero.

To find the equation/s let the denominator equal zero.

Denominator tends to zero for x = -2 and x = +2

Horizontal Asymptote is when the function f(x) is tending to zero.

for x = +∞ and x = - ∞

Let the rational function [tex]f(x)= \dfrac{mx^a}{nx^b}[/tex]  where  and a and b are degree of numerator and denominator.

If a < b , then the y axis y = 0 is a horizontal asymptote.

If b = a then horizontal asymptote is the line y = p/q

Here the value is b = 2 and a = 2

Since b = a the horizontal asymptote is the line

y = m/n  where m = 3 and n = 1

Therefore y = 3

So , vertical asymptotes x = - 2, 2

Horizontal asymptotes y = 3

Option A is the correct answer.

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Answer:

A

Step-by-step explanation:

just took the test

your recipe calls for 2 over 3 cups of sugar. you are only making 2 over 4 of the recipe. how much sugar do you need? not simplified

Answers

The quantity of sugar required for 2/4 of the recipe is 1/3 cups

How to solve fraction?

let

x = quantity of sugar needed

Ratio of sugar to recipe

2/3 : 1 = x : 2/4

2/3 ÷ 1 = x ÷ 2/4

2/3 × 1/1 = x × 4/2

2/3 = x × 2

2/3 = 2x

x = 2/3 ÷ 2

x = 2/3 × 1/2

= 2/6

x = 1/3 cups

Therefore, the quantity of sugar required for 2/4 of the recipe is 1/3 cups

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Which of the following is equidistant from a given directrix and focus?​

Answers

The term used to describe the equidistance from a given directrix and focus is: C. a locus of points called a parabola.

What is a Parabola?

A parabola can be defined as a curve on a plane where any given point is at equal distance from the focus (fixed point), and from a directrix (fixed straight line).

Thus, we can conclude that what is a locus of points called a parabola is equidistant from a given directrix and focus.

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Which property was used to simplify the expression?
O distributive property
O commutative property
O associative property
O inverse property
4(b+2)=4b+8

Answers

The expression is

4(b+2)=4b+8

See

4(b)+4(2)4b+8

Its distributive property which states that

a(b+c)=ab+ac

Option A

A centroid is the intersection of three
altitudes in a triangle.
perpendicular bisectors in a
triangle.
angle bisectors in a triangle.
medians in a triangle.

Answers

Answer: medians in a triangle.

The intersection of the three altitudes is the orthocenter.The intersection of the three perpendicular bisectors is the circumcenter.The intersection of the three angle bisectors is the incenter.The intersection of the three medians is the centroid.

If one factor of x² + 2x - 24 is (x+6), what is the other factor?
O (x+8)
O (x-8)
O (x+4)
O(x-4)

Answers

The other factor for the given equation will be ( x - 4 ). The correct option is D.

What is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

The solution of the given quadratic equation will be:-

x² + 2x - 24 = ( x² + 6x -4x -24 )

                   = [ x( x + 6) - 4 ( x + 6 ) ]

                   = ( x + 6 ) ( x - 4 )

Therefore another factor for the given equation will be ( x - 4 ). The correct option is D.

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I want to learn more about mean.
What is the mean?
Numbers:
4.5, 1, 9.25, 2, 6, 9.

Answers

I believe doing mean is adding all the numbers in the data set then counting the all the numbers you added then dividing by that number. The answer I got was 5.29

_multiply(-26) = -468

please help who will give me full solution I will mark him/her brainlist​ please help please please

Answers

Answer:

Step-by-step explanation:

Note

I think the question means "What do you multiply -26 by to get - 468

call the number that you need x

x * -26 = - 468                        Divide both sides by - 26

-26x/-26 = - 468/ - 26           There are 2 minus signs on the right. They cancel.

x = 18

Conclusion

When you multiply 18 * -26 the answer is --468

Answer: 18

On Monday Marcos droves 20 miles and on Thursday he drove 40 miles. How much further did Marcos drive on Thursday than on Monday?

Answers

Answer:

20 miles

Step-by-step explanation:

We are finding the difference.  Take the larger number and subtract the smaller number

40-20 = 20

The difference is 20 miles

The graph of a logarithmic function is shown below.

On a coordinate plane, a curve starts at y = negative 2 in quadrant 4 and curves up into quadrant 1 and approaches y = 2.

What is the domain of the function?
x < 0
x > 0
x < 1
all real numbers

Answers

The domain of the function is x > 0.

The correct option is (B)

What is domain of function?

Domain of a function is defined by the set of x-values of the graph of a function.

as, domain of a function is defined by the set of x-values of the graph of a function.

From the graph we can see that,

x-values are starts from x > 0 [Since x ≠ 0]

Also, moves towards infinity,

Hence, domain of the function be, (0, ∞) or x > 0

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Answer:

B

Step-by-step explanation:

93/100
Natalie needs 3 1/2 cups of flour to make 4 dozen cookies. How many.cups will she
need to make 2 dozen cookies?
7 cups
1 cup
13/4 cups
11/2 cups

Answers

Answer:

3/4 cups

Step-by-step explanation:

3 1/2 divided by 2

I need help with this question please

Answers

The changes in Z would be = 6.1× 10^-4.

Calculation of the unknown value

Z = Sin (x³ +y³)

Where X = 0.3

y = 0.2

Z= Sin ( 0.3³ + 0.2³)

Z= Sin ( 0.027 + 0.008)

Z= Sin ( 0.035)

Z= 6.1× 10^-4

Therefore, the changes in Z would be = 6.1× 10^-4.

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Find x. Give your answer in the simplest form.

45

Y

x = [?]


45

X

Enter the number that belongs in the green box.

Answers

Answer:

see the attachment photo!

A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the distance from the boat to the dock when the rope is 25 feet long?

Answers

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

[tex]7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}[/tex]

Other Questions
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