Jenna has $50 to spend at a local craft fair. The entrance price for the fair is $10. At a pottery stand. Jenna finds cups that are $4.50 each. What is the maximum cups Jenna can buy?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

4.5x+10<=50

4.5x<=50-10

4.5x<=40

x<=8.9

round down because can't go beyond 50

x=8 max

Answer 2

Answer:

8 cups

Step-by-step explanation:

The equation is:

Let [tex]c[/tex] be amount of cups she can buy.

[tex]10+4.5c=50[/tex]

Using this equation, we get:

[tex]10+4.5c=50[/tex]

Subtract 10 from both sides

[tex]4.5c=40[/tex]

Divide both sides by 4.5

[tex]c[/tex] ≈ [tex]8.89[/tex]

Since she can only buy whole cups, the max she can buy is 8 cups.


Related Questions

Find the sum 3/5+1/9

Answers

hope it helps you tell me in the comment box

(•‿•)

If h(x) is the interse of f(x), what is the value of h(f(x))?
O 0
0 1
f(x)​

Answers

Answer:

Step-by-step explanation:

Your options for solutions are nonsensical. We'll go about this a different way...namely, I'll tell you about a function and its inverse and then you can pick the answer from your options, as best as it will fit.

If f(x) = x + 1 and f(x) is the same thing as y, you can say that y = x + 1

If h(x) is the inverse of f(x), we have to find what h(x) is. The way to do that is to switch the x and y coordinates in f(x) and solve for the new y.

f(x) = y = x + 1 then x = y + 1 and y = x - 1.

That tells us the inverse of f(x), aka h(x). If we then take the composition of f(x) into h(x) we will find its value.

h(f(x)) ---> h(x + 1) = (x + 1) - 1 and

h(f(x)) = x

This will ALWAYS BE TRUE, NO MATTER WHAT FUNCTION YOU PLUG IN.

Fact: the composition of an inverse into its function = x

Fact: the composition of a function into its inverse = x

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through points (3, StartFraction 108 Over 5 EndFraction), (2, 36), (1, 60), (0, 100). Which function represents the given graph?

Answers

Answer:

y=100*[tex]0.6^{x}[/tex]

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2021

what kind of expression is (15-5x)/x^2 -9x +18?

Answers

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY!

Express 0,00567 in scientific notation.

Answers

Answer:

Brainleist!

Step-by-step explanation:

asumming that "," is a "."

0.00567 = 5.67 x 10^-3

5.67 x 10^-3

or

5,67 x 10^-3


What transformation is made from f(x) → f(-x)

Answers

Answer:

reflection over y-axis

Step-by-step explanation:

Answer:(-x)

Step-by-step explanation: it went from (x) to (-x)

WILL MARK AS BRAINLIST What is the equation of the line written in general form? -x + y - 2 = 0 x + y - 2 = 0 2x + y - 2 = 0

Answers

Answer:

x4

Step-by-step explanation:

going down on the x axis

Answer:

0 = x+y -2

Step-by-step explanation:

The general form of a line is 0 = Ax + By + C  where A is a positive integer

First write it in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is

m = (y2-y1)/(x2-x1)  (2,0) and (0,2)

   = (2-0)/(0-2)

   = 2/-2

   = -1

and the y intercept is 2

y = -1x +2

Subtract y from each side

0 = -x -y +2

Multiply by -1

0 = x+y -2

Q3: Determine the difference 34.7 – (–8.6). Determine la diferencia para 34.7 - (–8.6).

Answers

Determine the difference of 34.7 - (-8.6).

Since there are two negative signs, it cancels out, and becomes an adding sign or a positive.

Thus, it is now, 34.7 + 8.6

Solve:

34.7 + 8.6 = 43.3

Therefore, the difference of 34.7 - (-8.6) is 43.3

Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade? The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her $50 is given by the function p(g) = .

Answers

Answer:

p = g - 50

Step-by-step explanation:

profit = income - expenses

income = 1 * g = g

expenses = $50

p = g - 50

If g = 50, then

p = 50 - 50 = 0

If she sells 50 glasses of lemonade, she breaks even. That means she makes no profit, but also she loses nothing.

If she sells more than 50 glasses, then she makes a profit.

Answer:

50 is the answer

Step-by-step explanation:

Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).

Answers

Answer:

There is one point: A (x, y) = (2, 0)

Step-by-step explanation:

A point of the square OABC is invariant only if its location coincides with location of the rotation axis, that is, that such point experiments only rotation, no translation in any form. The center of rotation coincides with the location of one of the vertices of the square and, therefore, there is one invariant point on the perimeter: A (x, y) = (2, 0)

A company laid off one-sixth of its workforce because of falling sales. If the number of employees after the layoff is 690, how many employees were laid off?

Answers

Answer:

138

Step-by-step explanation:

Let the number of employees before the layoff be x.

1/6 of the company's workers were laid off and the remaining workers are 690. This means that:

1/6 * x = x - 690

=> x/6 = x - 690

=> 690 = x - x/6

690 = 5x/6

=> x = (690 * 6) / 5

x = 828

There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:

828 - 690 = 138 employees

The company's laying off its workforce is an illustration of proportions.

A total of 138 employees were laid off

The proportion (p) laid off is given as:

[tex]p = \frac 16[/tex]

The proportion (q) remaining in the workforce would be

[tex]q = 1 - p[/tex]

This gives

[tex]q = 1 - \frac 16[/tex]

[tex]q =\frac 56[/tex]

The workforce after 1/6 were laid off is given as 690.

So, we have:

[tex]q \times n = 690[/tex]

Where n represents the original workforce

This gives

[tex]\frac 56 \times n = 690[/tex]

Multiply both sides by 6/5

[tex]n = 828[/tex]

The number of employees that were laid off is:

[tex]Employee = 828 - 690[/tex]

[tex]Employee = 138[/tex]

Hence, 138 employees were laid off

Read more about proportions at:

https://brainly.com/question/16981404

Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t
can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent
and dependent variables?

Answers

Answer:

independent: tdependent: d

Step-by-step explanation:

In an equation of the form ...

  variable = expression

we generally consider the variable on the left to be the dependent variable. The variable in the expression is the independent variable.

Here, the equation ...

  d = 0.5 + 5t

suggests that the dependent variable is d; the independent variable is t.

Answer:

The independent variable is time and the dependent variable is distance.

Help help help on if u know what u doing tho lol please

Answers

Answer:

He is right

Step-by-step explanation:

[tex](8^3)^3= \\\\8^{3\cdot 3}=\\\\ 8^9[/tex]

Hope this helps!

A
cylindrical container has a diameter of 14cm and
height 7cm - Calculate the volume
of the container. ​

Answers

Answer:1078cm^3

Step-by-step explanation:

Formula=pie r^2 h

Pie= 22/7

R=diameter/2=14/2=7

R^2=49

H=7

22/7 x 49 x 7

7546/7

1078 cm^3

Change the unit of length. 6 ft 2 in. = _____ ft Answer Choices A. 6 1/3 B. 6 1/6 C. 6 1/12 D .6 2/3

Answers

Answer:

6 1/6 ft

Step-by-step explanation:

12 inches = 1 ft

So 2 inches is 2/12 of a foot

2/12 = 1/6

6 ft 2 inches = 6  1/6 ft

if f(x)=x-7 and g(x)=x^3, find G(f(x))

Answers

Answer:

[tex](f*g)(x) = x^4-7x^3[/tex]

Step-by-step explanation:

[tex]f(x) = x-7\\g(x) = x^3[/tex]

Multiplying both would make

[tex](f*g)(x) = x^4-7x^3[/tex]

This is the answer.

Someone please help me!

Answers

Answer:

x = -3

Step-by-step explanation:

When you take the cube root of -27, -3 is your answer. To double check, just cube -3 (or -3 x -3 x -3) and you can see you get -27.

Answer:

A

Step-by-step explanation:

x^3=-27

x=cuberootof(-27)

x=cuberootof(-3^3)

x=-3

This is A

Solve the equation for x by graphing.
2^x-4=-4^x+4
A.x= 2.25
B.x= 1.25
C.x = 0.25
D.x= -1.5

Answers

Answer:

The answer is B. x = 1.25

Step-by-step explanation:

The solution of the given equation is x = 1.25

What is an equation?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation we need to find the solution, 2ˣ-4 = -4ˣ+4

We have been given an equation 2ˣ-4 = -4ˣ+4.

We are asked to solve our given equation by graphing.

Upon graphing our given equation, we will get our required graph as shown in the attached image.

The solution for our given equation will be point, where graph intersects x-axis.

Upon looking at our given graph, we can see that it intersects x-axis at

x = 1.25

Therefore, option B is the correct choice.

Learn more about equation, click;

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Calculate the mean and standard deviation of the data set ...

Answers

Answer:

Mean: 12.9

Standard deviation: 14.8

Step-by-step explanation:

The mean is calculated adding all of the values and dividing by the number of elements:

[tex]m=\frac{2+3+7+12+1+4+27+49+11}{9}=\frac{116}{9}=12.9[/tex]

to find the standard deviation, we first find the variance (which is defined as the sum of all the elements subtracting the mean and squared and then dividing by the total amount of elements):

[tex]v=\frac{(2-12.9)^2+(3-12.9)^2+(7-12.9)^2+(12-12.9)^2+(1-12.9)^2+(4-12.9)^2+(27-12.9)^2+(49-12.9)^2+(11-12.9)^2}{9}\\[/tex]

[tex]v=\frac{1978.89}{9}\\[/tex]

[tex]v=219.88[/tex]

Noe that we have the variance, we can calculate the standard deviation.

The stardard deviation is defined as the squared root of the variance:

[tex]standardDeviation=\sqrt{v}[/tex]

we substitute the variance:

[tex]standardDeviation=\sqrt{219.88} \\standardDeviation=14.8[/tex]

Thus, the answer is:

Mean: 12.9

Standard deviation: 14.8

2. The average temperature for 3 days was 20°. What must the temperature be on the fourth day to raise the average
temperature for the four days to 20.5°?

Answers

Answer:

22

Step-by-step explanation:

20.5x4=82

82-(20x3)=82-60=22

22

(c) The price of a business ticket for the same journey with another airline is $2240.
(i) The price of a first class ticket is 70% more than a business ticket.
Calculate the price of this first class ticket.
Å

Answers

First you have to calculate 70% of $2240...

[tex] = \frac{70}{100} \times 2240[/tex]

[tex] = 7 \times 224[/tex]

[tex] = 1568[/tex]

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will give BRAINLIEST, please answer quickly, easy question

Answers

Answer:

A =576 pi in ^2

Step-by-step explanation:

Circumference  is given by

C = 2 * pi *r

48 pi = 2 * pi *r

divide by 2 pi

48 pi /2 pi = 2 * pi * r / 2 pi

24 = r

We can find the area by

A = pi r^2

A = pi (24)^2

A =576 pi in ^2

Answer:

576π in^2

Step-by-step explanation:

Circumference of circle (C) = 2πr = 48π in

2πr = 48 π

r = 48π/2π = 24 in

Area of circle (A) = πr^2

r (radius of circle) = 24 in

A = π(24 in)^2 = 576π in^2

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased? On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60). On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).

Answers

Answer:

The most correct option is;

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28)

Step-by-step explanation:

The equation is c = 10 + 3·t

When we substitute t = 0 we have the y-intercept given by c = 10 + 3 × 0 = 10

When we substitute c = 0 we have the x-intercept given by 0 = 10 + 3 × t

t = -10/3

Which gives the graph in slope and intercept form as c = 3·t + 10, where 3 is the slope

Given the accuracy of the data points, the graph with solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28) has the slope given by (28 - 10)/(6 - 0) =3 Which agrees with the above solution. therefore, the most correct option is On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles at points (0, 10), (1, 14), (2. 16), (3, 19), (4, 22), (5, 25), (6, 28)

Answer:

B. (the second graph)

Step-by-step explanation:

find the area of triangle two sides of which are 8cm and 11cm and the perimeter is 32cm with Herons formula​

Answers

Answer:

8√30

Step-by-step explanation:

The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:

√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30

Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (25 x) degrees. Angle T S R is (57 + x) degrees. Exterior angle T R Q is (45 x) degrees.

Answers

Answer:

x = 3

Question: Find the value of x.

Step-by-step explanation:

Given:

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

Lets find the value of x

∠TRQ is an exterior angle of Δ RTS at the vertex R

The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR

m∠TRQ = (45 x)°

m∠RTS = (25 x)°

m∠TSR = (57 + x)°

Substitute these measures in the equation above

45 x = 25 x + 57 + x

45 x = 26 x + 57

19 x = 57

x = 3

What is CD?
Point G is the centroid of triangle ABC. The length of
segment CG is 6 units greater than the length of segment
DG.
6 units
12 units
18 units
24 units

Answers

Answer:

(C)18 units

Step-by-step explanation:

Point G is the centroid of triangle ABC.C is a vertex of the triangleD is the midpoint of the side opposite the vertex.

From Centroid Theorems, we know that the distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex.

Therefore:

CG=2DG

Let the length of segment  DG =x

The length of  segment CG is 6 units greater, therefore: CG=x+6

Substituting into CG=2DG:

x+6=2x

2x-x=6

x=6 Units

Therefore:

CD=CG+GD

=6+6+6

=18 Units

The correct option is C.

Answer:

18

Step-by-step explanation:

Line segment CG is amount to 12 and line segment GD is 6. The length of the whole line segment, CD is 18 by adding 12 and 6.

Help please please I really need help

Answers

Answer:

45 sq yd

Step-by-step explanation:

area of square: 8*6= 48

area to triangle: 2*3/2 = 3

48 - 3 = 45

Please help me with this.

Answers

Answer:

7.9315

Step-by-step explanation:

1.no =7/3±85/16±2/7

=2665/336

=7.9315

2no =86/9-17/5

=227/45

=6.15556

3no= 45/7×53/4

=2385/28

=85.1785

4no=67/4÷5/2

=67/4×2/5

=134/20

=67/10

=6.7

Uh, one second I got to put the picture ;-;

Answers

Answer:

92°

Step-by-step explanation:

Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.

Answers

Answer:

19/5

Step-by-step explanation:

Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.

Para hacer esto, agregamos todas las millas recorridas.

Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.

La fracción impropia es así (5 * 3) + 4/5 = 19/5

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