Members of a youth group held a bake sale to raise money for their summer trip. They sold 30 cakes, 40 pies, and 200 giant cookies, and raised a total of $684.50. The price for a pie was $2.00 less than the price of a cake. The price of a cake was 5 times as much as the price for a giant cookie. Find the price for each item at the bake sale

Answers

Answer 1

Answer: Cost of  a giant cookies = $1.39

Cost of a cake= $6.95

Cost of a pie= $4.95

Step-by-step explanation:

Let price of a giant cookie = x

Then,

price of a cake = 5x

Price of a pie = 5x-2

Cost of  30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x

= 150x+200x-80+200x   [By distributive property a(b+c)=ab+ac]

= 550x-80

Given cost = $684.50

[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]

[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]

Cost of  a giant cookies = $1.39

Cost of a cake = 5 x $1.39  = $6.95

Cost of a pie = $6.95 -  $2 = $4.95


Related Questions

The interquartile is the range of the middle of what percentage data?

Answers

i love my life SO MUCH

A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function ℎ() = −4.9
2 + 22 + 5.5 represents the height of
the ball above the ground, in meters, with respect to time , in seconds.
Part A: Determine ℎ(3) and explain what it represents.

Answers

Answer:

27.4 metres

Step-by-step explanation:

Um, your question is missing the x's. I'm going to assume, -4.9x^2+22x+5.5

= -4.9(3)^2+22(3)+5.5

= 27.4

At 3 seconds the ball is 27.4 metres above the ground.

The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour (Poisson distributed); on average, 8 customers arrive to purchase tickets each hour (Poisson distributed). 1. Determine the average time a ticket buyer must wait (in minutes). , Round your answer to integer, the tolerance is +/- 1. 2. What portion of time is the ticket seller busy? %, Round your answer to integer, the tolerance is +/- 1.

Answers

Answer:

a

[tex]A_w  =  1.667  \ hour [/tex]

b

 [tex]b  =  0.667 \  hour  [/tex]

Step-by-step explanation:

From the question we are told that

   The mean number of ticket per hour is  [tex]\mu  =  12 \  tickets[/tex]

   The  mean number of customers arrive to purchase tickets each hour is [tex]\lambda  =  8 \  customers[/tex]

    Generally the average time the ticket buyer must wait is mathematically represented as

      [tex]A_w  =  \frac{\lambda }{ \mu [\mu -\lambda]}[/tex]

=>    [tex]A_w  =  \frac{8 }{ 12 [12-8]}[/tex]

=>     [tex]A_w  =  1.667  \ hour [/tex]

Generally the portion of time is the ticket seller busy is mathematically represented as

     [tex]b  =  \frac{\lambda}{ \mu}[/tex]

=>    [tex]b  =  \frac{8}{ 12} [/tex]

=>    [tex]b  =  0.667 \  hour  [/tex]

A clylinder has a height of 12 centimeters and a radius of 19 centimeters. What is its volume?

Answers

Answer:

13602. 48 cm³

Step-by-step explanation:

Hi there !

Cylinder volume formula

V = π·r²·h

π ≈ 3.14

replace

V = 3.14×(19cm)²×12cm

= 3.14×361cm²×12cm

= 13602. 48 cm³

Good luck !

19^2 times Pi is 1134 to the nearest whole number.
1134 times 12 is 13,608.
And because it is volume it has to be 13,608^3. Hope this helps as I rounded to the nearest whole number. I don’t know to what I should of rounded it up to


Find the derivative of log e^((1+tan x)) w.r.t x​

Answers

Hope this will help you

Red = R, Orange = O, Yellow = Y, etc; ALL CAPS

Answers

Answer:

I don't know what your asking, but if your asking about colors here you go.

Step-by-step explanation:

Green = G

Blue = B

Black = BL

Yellow = Y

Orange = O

Grey = GR

Purple = P

Red = R

Pink = PI

Thats all that I can think of right now

The midpoint of AB is M(-1,-5). If the coordinates of A are (4, -3), what are
the coordinates of B?

Answers

The coordinates of B is (-6, -7)

How to determine the coordinates of B?

The given parameters are

A = (4, -3)

M = (-1, -5)

The midpoint of a line is calculated as

M = 1/2(x1 + x2, y1 + y2)

So, we have

(-1, -5) = 1/2 * (4 + x, -3 + y)

This gives

(-2, -10) = (4 + x, -3 + y)

Solve for x and y

4 + x = -2

-3 + y =-10

Evaluate

x = -6 and y = -7

Hence, the coordinates of B is (-6, -7)

Read more about midpoints at:

https://brainly.com/question/5566419

#SPJ1

HURRY! PLEASE HELP!!! 3 times a number plus 5 is at least -10 and less than 26

Answers

Answer:

-5<x<7.

Step-by-step explanation:

let the number be represented by 'x'

3x + 5 > -10 < 26

-10<3x+5<26

-10 < 3x +5

-10 -5 < 3x

-15< 3x

-15÷3 < x

-5 < x

and

3x+5 < 26

3x<26-5

3x < 21

x < 21÷3

x< 7

answer is -5<x<7

Answer:

[⁵/3,7[

Step-by-step explanation:

10 ≤ 3x + 5 < 26

10-5 ≤ 3x < 26-5

⁵/3 ≤ X <7

[ 5/3 , 7 [

how do i find the square root of pi

Answers

Answer:

3.141592654...

Step-by-step explanation:

it just keeps going and going and never stops.

please give me brainliest

A right rectangular prism is shown.​
To the nearest thousandth of an inch, what is the length of the diagonal, dd?

Answers

Answer:

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got [tex]\sqrt{193}[/tex]) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

    Length of diagonal 'd' of the right rectangular prism given in the picture will be 14.765 inches.

Pythagoras theorem:     Pythagoras theorem is applicable in a right triangle.     Pythagoras theorem is given by the expression,

             (Hypotenuse)² = (Leg 1)² + (Leg 2)²

By applying Pythagoras theorem in right tringle ΔCBE,

(CE)² = (BC)² + (BE)²

(CE)² = 5² + 12²

CE = √169 = 13 inches

Similarly, apply Pythagoras theorem in right triangle ΔDCE,

(DE)² = (CD)² + (CE)²

d² = 7² + (13)²

d² = 49 + 169

d = √218

d = 14.7648

d ≈ 14.765 inches

             Hence, measure of diagonal 'd' will be 14.765 inches.

Learn more about the Pythagoras theorem here,

https://brainly.com/question/12306722?referrer=searchResults

3) For the ordered pairs given in the table, is the relation a function?
X
0,1,2,1 Y4,2,6,5

Answers

Answer:

Relation

Step-by-step explanation:

The domains, 0,1,2,1 repeat! (the 1's repeat twice:)

No it is not a function.

In the x-values there are two ones. Therefore it cannot be a function.

х
3
3
Right triangle similarity
What is the value of x

Answers

Answer:

21

Step-by-step explanation:

The length of the other leg (x) is 12 cm.

We have,

To find the length of the other leg, we can use the Pythagorean theorem.

Using this theorem, we can set up the following equation:

x² + 5² = 13²

Simplifying the equation:

x² + 25 = 169

Subtracting 25 from both sides:

x² = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.

Thus,

The length of the other leg (x) is 12 cm.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ4

The complete question:

In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.

What is the length of the other leg, represented as x?

I NEED HELP OR I FAIL PLEASE HELP ME!!!!

Answers

Answer:

The answer is A, ST and WX

Step-by-step explanation:

The answer is A because ST and WX are the same size and shape, just mirrored.

Find the area of the rectangle (Let h = 24 ft and w= 29 ft)

Answers

Answer:

The answer is 696 ft.

Step-by-step explanation:

When you multiply the formula (LxW) you get the answer to the equation.

Answer:

696 ft

Step-by-step explanation: Multiply both of them :D

write the side length of the square root. is the side length a rational or irrational number​

Answers

Answer:

10 it is rational

Step-by-step explanation:

URRRRRGGGGEEENNNNTTTTT!!!!!!

Answers

Step-by-step explanation:

Well you have to find two points on the line like points (0,2) and (2,-2)

Then you do y2-y1/x2-x1

You should be able to know what answer it is now!

Hope this helps <3

I need to know what is rational and what isn't ​

Answers

Answer:

Irrational

Rational

Rational

Rational

Irrational

Step-by-step explanation:

2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED

Answers

Answer:

The simplified ratio is 19:9.

Step-by-step explanation:

Answer:

19:9

Step-by-step explanation:

First, make it a fraction. 95/45. Then simplify by 5.

I will give you branilest!

What equation could you use to find the total entrance cost for a vehicle with any number of people?

Answers

Answer:

You are correct, and you could also write an expression where m = money, p = people, and v = vehicle

m · p · v = ___

I hope this helps you ^‿^

An electrician needs 6 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 3/4 of a roll of wire?

Answers

Answer:

  1/8 room

Step-by-step explanation:

  (3/4 roll)/(6 rolls/room) = (3/4)(1/6) rooms = 1/8 rooms

With 3/4 roll of wire, the electrician can wire 1/8 of a room.

choose the correct decimal for the expression. seven and ten-thousandths.......7.10, 0.710, 7.0010, 7.010......we chose 7.0010 and it was wrong. help​

Answers

Answer:

7.010 if it's wrong im sorry

The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.

A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.

Use the drop-down menus to complete each statement.

The amplitude of the function is
.

The period of the function is
.

The graph has a vertical shift of
units.

Answers

Answer:

The amplitude of the function is 48

The period of the function is 28

The graph has a vertical shift of   48  units.

Step-by-step explanation:

just took the quiz

3/5 + -7/5
Answer fast please​

Answers

Answer:

-0.8

Step-by-step explanation:

hope this helps :3

Answer:

-4/5 for fraction or -0.8 for decimal

Step-by-step explanation:

The sum of three consecutive rven integers is 72. Let x represent the first integer, x+2 represent the srcond integer, and x+ 4 represent the third which equation can be used to find the first integer

Answers

Given parameters:

First term of the sequence = x

Second term = x + 2

Third term =  x + 4

Sum of the first three terms  = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

            (x) + (x + 2) + (x + 4) = 72

Solve for x;

          x + x + 2 + x + 4  = 72

          3x + 6  = 72

            3x = 72 - 6

              3x = 66

                x = [tex]\frac{66}{3}[/tex]   = 22

The first term of the sequence is 22

Find the distance FG between the points F(0,-7) and G(-6,-3) . Round your answer to the nearest tenth, if necessary

Answers

Answer:

7.2

Step-by-step explanation:

Latoya bought 16 pounds of flour for $9.
How many pounds of flour did she get per dollar?
pounds per dollar

Answers

100$ yw bro and also math

Answer:

I think she gets 1 pound per 1.70$

Step-by-step explanation:

16/9 is 1.7

How do we write this in scientific notation?

Answers

4.331 times 10 negative 3

2 points
2) At the sixth-grade school dance, there are 132 boys, 89 girls, and 14
adults. Write the ratio of the number of girls to the TOTAL number of

Answers

132=89 is the ratio. 132 boys, 89 girls.

Jaun has $10 to spend. He needs $13 to purchase the supplies.explain how to find the amount of money juan is short

Answers

Answer:

$10 - $13 is -3, which menas he is $3 short.

Step-by-step explanation:

Answer:

take the amount Jaun has ($10) and subtract it from the amount he needs ($13). you will get 3$ which is the amount of money he is short.

Step-by-step explanation:

Hope this helps you

I really need help please

Answers

Answer: A)70. B)72


The GCF between 70 and 72 is 2.
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