Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry pies and 4 pumpkin pies for a total of
$208. Stefan sold 13 cherry pies and 12 pumpkin pies for a total of $384. Write the
system of equations that would allow you to determine the cost each of one cherry
pie (c) and one pumpkin pie (p)?

Naomi And Stefan Are Selling Pies For A School Fundraiser. Customers Can Buy Cherry Pies And Pumpkin

Answers

Answer 1

The answer is the first option

Answer 2

The cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19 and the equation system will calculate the cost of one cherry 11c + 4p = 208  and 13c + 12p = 384 .

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let the number of cherry pies be c,

And the number of pumpkin pies be p,

As per the given information, an equation system will calculate the cost of one cherry.

11c + 4p = 208    ...(i)

13c + 12p = 384  ...(ii)

Multiplying 12 by equation (i) and 4 by equation (ii), we get

132c + 48p = 2496 …(iii)

52c + 48p = 1536 …(iv)

Equation (iii) subtracts from (iv) and we get c = 12 then substitute the value of 'c’ into equation (i) and we get

11(12) + 4p = 208

4p = 208 - 132

4p = 76

p = 19

Thus, the cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19

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Related Questions

A square has an area of 4 square feet. What is the perimeter of the square, rounded to the nearest foot?

A. 8
B. 12.5
C. 28
D. 200​

Answers

Answer: A. 8 feet

Explanation:
A = L*W
Since the shape is a square, all sides are the same length. The square root of 4 is +- 2, but the value will be positive 2 because distance can’t be negative. If each side has a length of 2 feet, and a square has 4 sides, 2*4 = 8. The perimeter is 8 feet.

i need to find the slope and the value of A B

Answers

Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

Pick the odd one out. A) 8÷4×2 B) 5×1−1 C) 3×3−5 D) 3×2+1

Answers

Answer:

D

Step-by-step explanation:

cause 8÷4 =2 and ×2 =4

5x1=5-1=4

3×3=9-5=4

3×2=6-1=5

The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5

A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the​ car?

Answers

60% of the people from the survey are completely satisfied

do all straight lines that are functions have inverses?

Answers

Answer: Not all Functions have a inverse

Happy To Help :)

Step-by-step explanation:

PLS HELP ASAP ILL GIVE BRAINLIEST TYSM

Answers

Answer:

3x+2=16

Step-by-step explanation:

Answer:

the answer is most likely to be rather the first or second choice, but i choose B

Step-by-step explanation:

*Hope this helps*

based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have

3x - 2 = 16

3x +2 = 16

3x + 4 = 20

3x = 24

and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.

I might be wrong but i hope its right...

Real answers and explanations ONLY! I’ll name you brainiest if correct

Answers

Answer:

1/10⁶ or 0.000001

Step-by-step explanation:

For every time you have a probability of getting 1 is:

P(1) = 1/10

For all 6, the probability of outcome of 1 is:

P(1x6) = (1/10)⁶ = 0.000001

Probability of 1

P(1)=1/10

Probability of 6

P(1×6)

(1/10⁶)10^{-6}

i forgot to attach the photo before.... please help

Answers

Part (i)

I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.

The equation we're working with is updated to:

H(t) = 22 + a*2^(bt)

Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.

So,

H(t) = 22 + a*2^(bt)

86 = 22 + a*2^(b*0)

86 = 22 + a*2^0

86 = 22 + a*1

86 = 22 + a

a+22 = 86

a = 86-22

a = 64

Answer:  64

=====================================================

Part (ii)

We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).

H(t) = 22 + a*2^(bt)

28 = 22 + 64*2^(b*0.5)

28-22 = 64*2^(0.5b)

64*2^(0.5b) = 6

2^6*2^(0.5b) = 6

2^(6+0.5b) = 6

log(  2^(6+0.5b)   ) = log(6)

(6+0.5b)*log(2) = log(6)

6+0.5b = log(6)/log(2)

6+0.5b = 2.5849625

0.5b = 2.5849625-6

0.5b = -3.4150375

b = -3.4150375/(0.5)

b = -6.830075

Answer: Approximately   -6.830075

A fitness trainer decided to track the combined weight loss of
several new customers. She recorded the combined weight loss
each month and kept track for 6 months. Identify the best
mathematical model with its corresponding R2 value and tell
whether it is a good model.
Month
1
2
3
4
5
6
Weight loss
175
120
95
63
44
30
4.
exponential model, 0.996
Yes, 0.996 is very close to 1.
quadratic model, 0.994
Yes, 0.994 is very close to 1.
quadratic model, 0.994
No, 0.994 is too high an R2 value.
exponential model, 0.996
No, 0.966 is too high an R2 value.

Answers

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

What is an exponential model?

Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).

The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.

Given that a fitness trainer is tracking the combined weight loss of several new customers.

She is recording for 6 months.

Now, we have to find the best mathematical model with the corresponding R² value

Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.

The formula for coefficient of determination = (x-x')(y-y')/√∑(x-x')²(y-y')²

≈ 0.996

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

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jamie is 3 years less than three times Andys age. In five years the sum of their ages will be 59.How old are they now​

Answers

Answer:

Andy : 13 years old and

Jamie: 36 years old

Step-by-step explanation:

Andy = x

Jamie = 3x - 3

In 5 years:

(X+5)+(3x-3+5) = 59

4x + 7 = 59

4x = 59 - 7

x = 52/4

x = 13

5.32×10^5 solve it please need it by 12:00​

Answers

Answer:

532,000

Step-by-step explanation:

10^5= 100,000

100,000 x 5.32

Move the decimal place 5 spaces to the right.

It gives you 532,000

Answer:

532000

Step-by-step explanation:

5.32 × 10^5 =

532/100 × 100000 =

133/25 × 100000 =

532000

For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment

Answers

The inequality that represents the situation is:

[tex]3q + 3 > 51[/tex]

The first assignment had at least 17 questions.

On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.

The total number of questions is:

[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]

Since the total is greater than 51, the inequality is:

[tex]3q + 3 > 51[/tex]

Solving the inequality, we have that:

[tex]3q > 48[/tex]

[tex]q > \frac{48}{3}[/tex]

[tex]q > 16[/tex]

Thus, it is found that the first assignment had at least 17 questions.

A similar problem is given at https://brainly.com/question/24514895

Here's a question ~

Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~

note : there are two possible slopes !

Need Proper Explanation ~​

Answers

Answer:

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Step-by-step explanation:

It is given that –

Slope of the first line is–

[tex]\sf\longmapsto \: m_{1} = 2[/tex]

Let,

the slope of the Another line be –

[tex]\sf\longmapsto \: m _{2}[/tex]

Now,

The angle between the two lines is 60°.

Let's start solving!

[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]

[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]

[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]

[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]

[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]

The equation of line passing through point (2,3) and having a slope of –

[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]

is–

[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]

[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Hence the equation of the other line is -

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Can some pls help me?

Answers

Answer:

4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.

Let me know if I'm wrong.

a contractor is given a scale drawing of a rectangular patio. the scale from the patio to the drawing is 4 feet to 1 inch. what is the area of the actual patio?

Answers

Dddfddffrrff fr Rex free f. Fc

Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units

Answers

Answer:

AS=9

Step-by-step explanation:

Need help ASAP 50 points ?!!!

Answers

Answer:

pretty sure it's 11

Step-by-step explanation:

Substitute x with -44

Answer:

11

Step-by-step explanation:

f(x) = f(-44) plug in -44 for x

10 -  -44/44

10 - (-1)

I do something called KFC, keep flip change

10 + 1 = 11  


HELP QUICKKKK!!!!!

Answers

D. When you reflect over the y axis, the coordinates change from (x,y) to (-x,y). Since all of the numbers are negative, the x coordinate would be positive


This circle has a circumference of 40 centimeters.
Calculate its diameter

Answers

Answer:

d≈12.73cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for d

d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm

I need the equation and the answer please it’s due tonight

Answers

Answer:

The answer is 27.15

this is your equation to your answer step by step

4.40+ 3.25=

7.65

7.65+3.25=10.9

10.9+3.25=14.15

14.5+3.25=17.4

17.4+3.25=20.65

20.65+3.25=23.9

23.9+3.25=

2. An architect is reading a plan that is drawn on a scale of 0.75 inches to 1 foot. If the plan says that a room is 12 feet high, how high is the roof in the drawing?

Answers

Answer:

9 Inches

Step-by-step explanation:

1 feet is 0.75 inches

12 feet will be 0.75 * 12 = 9 inches

Therefore,it 9 inches.

Answer:

9 inches

Step-by-step explanation:

12 * 0.75 = 9

Answer: 9

Please show the process of your result. Thank you! :D

Answers

Answer:

[tex]3\sqrt{7}[/tex] Is correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Help please and hurry

Answers

Answer:ok here u go

Step-by-step explanation  the reason its no solutions is because there is no x and that makes the problem no solution

A rectangular farm is 600m long and 200m wide. If 1/3 of it is used for planting rice, what is the area of the remaining land in hectares? a) 4ha b) 8ha c) 12ha d) 80ha e) 120ha​ please respond its urgent.

Answers

Answer:

8ha

Step-by-step explanation:

600*200 = 120000

120000* 1/3 = 40000

120000 - 40000 = 80000

10000m = 1ha

80000m = 8ha

The area of the remaining land is 8 hectares. The correct answer would be an option (B).

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

The total area of the rectangular farm is 600m × 200m = 120,000 square meters.

If 1/3 of it is used for planting rice, then the area used for planting rice is 1/3 × 120,000 = 40,000 square meters.

Therefore, the area of the remaining land is 120,000 - 40,000 = 80,000 square meters.

To convert this to hectares, divide by 10,000, so the area of the remaining land is 80,000 / 10,000 = 8 hectares. So the answer is 8 hectares.

Hence, the correct answer would be an option (B).

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The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office.

Pamela can expect to see ___ red cars and___ green cars on her way to office.

Answers

The expected value of a dataset is the mean of the dataset.

The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.

Expected value is calculated as:

[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]

For the red cars, we have:

[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]

[tex]\mathbf{Red = 0.97}[/tex]

Approximate

[tex]\mathbf{Red = 1}[/tex]

For the green cars, we have:

[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]

[tex]\mathbf{Green= 1.18}[/tex]

Approximate

[tex]\mathbf{Green= 1}[/tex]

Hence, the expected values of red and green is 1.

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Help please! I can't understand this question!

Answers

Answer:

Step-by-step explanation:

y = 2x + 8

She know 8 songs. 8 will be the y-intercept and each month she learns 2 songs which will be the slope of the function.

Answer:

y=2x+8

Step-by-step explanation:

It's for how many songs he knows in total

2 songs a month so

songs he knows=2(number of months)+the 8 he already knows

What are the coordinates of the terminal point determined by T=20pi/3

Answers

Answer:

t=5x=3049

Step-by-step explanation:

Answer:

The answer is cos=(-1/2, square root -3/2)

Step-by-step explanation:

6.5 x 1/9 please help

Answers

Answer:

13/18

Step-by-step explanation:

6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18

Therefore, 6.5 · 1/9 = 13/18.

During a 1-hour period, a TV show has 40 minutes of programming. The rest of the
time is for commercials. How much time user every hour for commercials?

Answers

Answer:20 mins

Step-by-step explanation:

If its one hour than thats 60 mins which means you have to minus 40.thats is 20

Hope it helps

Answer:

20 Minutes

Step-by-step explanation:

An hour is 60 minutes.

60 - 40 is 20 minutes.

what is the equivalent value of 1/3×(−15)

Answers

what is the equivalent value of 1/3×(−15)
Answer: -5x
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