I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25 each. If I sold 51 baked goods and made $53.25 from the bake sale, which item’s sales made the most money? Cookies Brownies

Answers

Answer 1

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money


Related Questions

I need please it would really help me alot !!


no link or zooms

Answers

Answer:

18.266

Step-by-step explanation:

Annora bought a box of cookies that matches the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number, round to the nearest tenth. Help pls

Answers

92is the correct answer

In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *

A. 16
B. 32
C. 48
D. 66

Answers

Answer:

A) 16

Step-by-step explanation:

∠PQR and ∠TQS are vertical, meaning they equal each other

set up your formula as

3x+18=66

3x=66-18

3x=48

x=48/3

x=16

How long is a pencil the nearest inch and to the nearest centimeters?

Answers

Answer:

A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.

The question says to the nearest inch. Therefore we have to approximate to to a whole number.

7.5, when rounded up to the nearest number, is 8 inches.

Hence, the answer is 8 inches or 19 centinmeters.

Cheers

Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)

Answers

Answer:

[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]

[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]

someone PLEASE HELP!!!

answer explanation = brainliest, 5 star rating


A cube is dilated by a factor of 3.5.

The volume of the resulting cube is ___ times the volume of the original cube.

Answers

Answer:

A cube is dilated by a factor of 3.5.

The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.

Answer:

the volume of cube diladet

9375

_______

l WILL GIVE BRAINLIEST......
find the range of X ​

Answers

Answer:

Step-by-step explanation:

Numbers that is less than 5 like 4,3,2,1,0

Answer:

1>x>-2   or -2<x<1

Step-by-step explanation:

2<3-x<5   (minus 3)

-1<-x<2     (devide by -1)

1>x>-2

Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)

Answers

Answer:

(25m^4n^1/12)(m^1n^1/12)

Step-by-step explanation:

Re-order terms to the left.  

(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)

Combine terms

(5*5m^4n^1/3/4)     2m^1n^1/3/3/8    

Multiply

(25m^4n^1/3/4)       2m^1n^1/3/3/8    

(25m^4n^1/3 * 4)    2m^1n^1/3/3*8    

(25m^4n^1/12).        2m^1n^1/3/24

cancel common terms in both num and denominator

   

Final - (25m^4n^1/12) (2m^1n^1/12).

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

720

Step-by-step explanation:

This is a permutation of 10 choose 3

10 !             10!

-----   =    ------------   = 10*9*8  = 720

(10-3)!            7!

What's the solution to 3x – 6 < 3x + 13? A) x > 5 B) All real numbers C) There are no solutions. D) x < –5

Answers

Answer:

C) there are no solutions

Step-by-step explanation:

3x-6<3x+13

3x<3x+19

0<19

differentiation of 1 by root x​

Answers

Answer:

Here is Your answer!!!!

what is the answer to −5/12−3/10

Answers

Answer:

The answer is -0.71666666666 in decimal form.

In fraction form it is -43/60.

Step-by-step explanation:

Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.

Answers

A =?

P= 9456

r = 6% = 0.06

t = 5 yrs

Formula

A= P(1+r)^t

A= 9456×1.06⁵

A = 12646.23

the total amount that he had to pay was 12646 rs

The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?

Answers

Answer:

2,000 cubic centimeters

Step-by-step explanation:

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

[tex]v = \frac{b}{p}[/tex]

where b = constant of proportionality

5000 = b / 200

b = 5000 x 200 = 1,000,000

v = 1,000,000 / 500

v = 2000

What are the solutions to the quadratic equation
6x2 + 24X = 0?

Answers

Answer:

[tex]x = 0 \: \text{or} \: x = - 4.[/tex]

Step-by-step explanation:

[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]

Dominic says the approximate volume
of the sphere below is 85.33 cm3.
Find the correct approximate volume,
using 3.14 for p. Round to the nearest
hundredth. What was Dominic’s
likely error? (The radius is 4.)

Answers

Answer:

V = 267.95 cm^3

Dominic forgot to multiply by the approximation for pi

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

V = 4/3 ( 3.14) (4)^3

V = 267.946666666

Rounding to the nearest hundredth

V = 267.95 cm^3

If you do not multiply by the approximation for pi

V = 85.3333333pi cm^3

Dominic forgot to multiply by the approximation for pi

A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.

Answers

The area of the base of the first sandbox is 64 square feet.

Explanation:
Earlier it said the first sandbox has a SQUARE base and its side length is 8 feet. Its asking for the area of the square base, so follow this formula:
Side length^2

In this case is:
8^2 = 64

MARK ME BRAINLIEST TYSM
Have a nice day (*^ω^*)

The area of the base of the first sandbox is 64 square feet

What is the area?

Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.

The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.

The area of a square is given by the formula: A = s², where s is the length of one side of the square.

In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:

A = 8² = 64 square feet.

So, the area of the base of the first sandbox is 64 square feet

To know more about an area follow

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solve the equation for
x 3/4(x+21) = 10.5
x =

Answers

✍️ Answer:[tex]x=-\frac{294}{13}[/tex]

✽✽✽✽

[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]

[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]

[tex]3x=42\left(x+21\right)[/tex]

[tex]3x=42x+882[/tex]

[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]

[tex]3x-42x=42x+882-42x[/tex]

[tex]-39x=882[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]

[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]

[tex]x=-\frac{294}{13}[/tex]

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hope it helps...have a great day!!

let me know if you can help

Answers

Answer:

You S,tupid

Step-by-step explanation:

Helllllllloooppppppp pls . *

Answers

Answer:

It's 46

Step-by-step explanation:

Because 90-44 it's 46

Find the distance between the points (1, 4) and (- 2, - 1).

Answers


5.83

Use the distance formula i attached an example of another problem same formula different numbers, you can use it for future reference just switch out the points and you’ll have your answer

If AB is parallel to CD and the slope of CD is-5, what is the slope of AB?
O A.
01
B.
1
C. -5
D. 5

Answers

Answer:

C. -5

Step-by-step explanation:

If the two lines are parallel, they have the same slope. Therefore the slope of AB is -5.

Slope of line AB parallel to CD is -5

What is slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.

Given,

AB is parallel to CD

Slope of CD m = -5

When two lines are parallel

their slopes are same

m' is slope of AB

then

m' = m

m' = -5

Slope of AB is -5.

Hence, -5 is slope of line AB.

Learn more about slope here:

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find the value of (256)-3/4
help with steps pls​

Answers

Answer:

Step-by-step explanation:

(256)-3/4

=256*-3/4

=-768/4

=-192

Which illustration predicts the effects of rotating the given triangle 75 degrees about R counterclockwise?

Answers

Answer:

Option B is correct

Step-by-step explanation:

The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.

Hence, option B is correct

Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515 inches, find the length of chord \displaystyle \overline{AB} AB .

Answers

Answer:

18 inches

Step-by-step explanation:

Given

[tex]r = 15in[/tex] --- radius

[tex]h = 12in[/tex] --- distance between chord and the center of the circle

Required

The chord length

See attachment for illustration

First, calculate distance AX using Pythagoras theorem.

[tex]AO^2 = AX^2 + OX^2[/tex]

This gives:

[tex]15^2 = AX^2 + 12^2[/tex]

[tex]225 = AX^2 + 144[/tex]

Collect like terms

[tex]AX^2 = 225 - 144[/tex]

[tex]AX^2 = 81[/tex]

Take square roots of both sides

[tex]AX = 9[/tex]

AB is then calculated as:

[tex]AB= AX + XB[/tex]

Where:

[tex]AX=XB =9[/tex]

So:

[tex]AB = 9 + 9[/tex]

[tex]AB = 18[/tex]

Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.

Answers

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is [tex]W = [a b c][/tex]

[tex]\therefore[/tex]

relation: [tex]WT =W[/tex]

[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]

solving the value:

[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]

Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]

For point b:

[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]

[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.

Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)

Answers

Answer:

12.16 years

Step-by-step explanation:

Continuous Compounding Formula

[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]

where:

A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)

Given:

A = $5,000 (double the initial investment)P = $2,500r = 0.0570

Substitute the given values into the formula and solve for t:

[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]

[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]

[tex]\sf \implies 2=e^{0.0570t}[/tex]

Take natural logs of both sides:

[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]

As ln e = 1:

[tex]\sf \implies \ln 2=0.0570t[/tex]

[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]

[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]

[tex]\implies \sf t=12.16047685...[/tex]

Therefore, the time required for the amount to double is 12.16 years (2 d.p.).

Learn more about continuous compounding interest here:

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-5+9j=67
Please help me with math!

Answers

Answer: j=8

Step-by-step explanation: first, add 5 to both sides. You now have 9j = 72. Then divide each side by 9. You now have j=8

Lilly went shopping with her mother. She took $48.95 with her to spend. She spent $23.57 at one store. How much money did she have left?

Answers

Answer:

Difference= $25.28

Step-by-step explanation:

Giving the following information:

She took $48.95 with her to spend. She spent $23.57 at one store.

To calculate the money she has left, we need to use the following formula:

Difference= total amount of money - money spent

Difference= 48.95 - 23.57

Difference= $25.28

PLEASEEE HELP I WILL MARK BRAINLIESTTTT!!! (NO LINKS)

Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.

Answers

Given:

The data set is:

25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24

To find:

The box plot for the given data set.

Solution:

We have,

25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24

Arrange the data in ascending order.

18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 36, 38

Divide the data in two equal parts.

(18, 19, 20, 21, 24, 25, 26), 27, (30, 31, 32, 33, 36, 36, 38)

Divide each parenthesis in two equal parts.

(18, 19, 20), 21, (24, 25, 26), 27, (30, 31, 32), 33, (36, 36, 38)

Now, the five number summary of the given data set is:

Minimum value = 18

First quartile = 21

Median = 27

Third quartile = 33

Maximum value = 38

Therefore, the required box plot for the given data set is shown below.

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