A corner store sells two kinds of baked goods: cakes and pies. A cake costs $7 and a pie costs $6. In one day, the store sold 10 baked goods for a total of $66. What system would work for the situation?

Answers

Answer 1

9514 1404 393

Answer:

c + p = 107c + 6p = 66

Step-by-step explanation:

Assuming you're interested in the number of each that were sold, the system of equations will express the relation for total sold, and the relation for total revenue. We have used the variable c and p to represent numbers of cakes and pies sold, respectively. Your choices may use x and y, instead.

c + p = 107c + 6p = 66

__

The solution can be found by subtracting 6 times the first equation from the second. That tells you 6 cakes were sold, hence 4 pies.


Related Questions

A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day

Answers

Answer:

tsc = 8*1*10 = $80

twc = 8*20*0.0667*12 = $128.06

tc = 80 + 128.06 = $208.06

Step-by-step explanation:

To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).

Total service cost = (the number of channels)(cost per channel)

tsc = m*Cs

There is only 1 employee so the number of channels is 1.

The cost for this channel is $10 per hour, so 10 * 8 hours in the day.

Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)

twc = (number of arrivals)(average wait per arrival) Cw

The number arrivals is at the rate of 20 per hour.

The average wait per arrival was found as Wq previously.

                 Wq = 20/(30*(30-20)) = 0.0667 hours

The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.

Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.

A baseball team loses twice as many games as it wins.The baseball season is 162 games long.How many games will the team lose

Answers

Answer:

The team will lose 108 games

What is the sum of the series? 84 Σ k=1 (3k − 8)

Answers

Answer:

What is the sum of the series? 84 Σ k=1 (3k − 8)

10,038

Step-by-step explanation:

Answer is C

Answer:

1. C. 10,038

2. C. 530,556

Step-by-step explanation:

Edge

3(x-5) = 2(x-5)+x true or false?

Answers

Answer:

FALSE

Step-by-step explanation:

In order to solve this equation,

First, we must write it out

3(x - 5) = 2(x - 5) + x

Then, we must use the Distributive Property

3x - 15 = 2x - 10 + x

Next, we must Combine Like Terms

3x - 15 = 3x - 10

Finally, we can Subtract The Coefficients

-15 = -10

Because -15 does not equal to -10, this equation has no solution

IT IS FALSE

if you have more questions, comment me below or add another question

help pleaseeee , asap

Answers

Answer:

74

Step-by-step explanation:

1. Showing your knowledge in the problem

Well, you know that a straight line is 180 degrees, right? And you know that the angles are 52 degrees and 54 degrees. So, your equation would be set up like this: 52 + 54 + ____ = 180

2. What is 52 + 54?

106

3. Subtract 180 - 106

74

Hope that helps!

Answer:

180 - 52 - 54 = 74

x = 180 - 74 = 106°

Due in 5 mins!! FIND THE MISSING LENGTHS!!!!!

Answers

Since the shape is a square the sides are equal. Then we need to find x such that x * x = 169.
Sqrt(169) = 13
So x = 13

What ions combine together to form
water in a neutralization reaction?

Answers

Answer: it's H^+ and OH^- ions

Step-by-step explanation:

Jacey has 40 pizzas to sell in the concession
stand at a basketball game. Each pizza has
been cut into 8 slices of equivalent size. In the
first hour, Jacey sold 16% pizzas. In the second
hour, she sold 18 pizzas. How many pizzas
does Jacey have left to sell?

Answers

ANSWER: In theory the answer is (16.6)Pizzas

Step by Step EXPLANATION : 16% of 40 is 6.4 that means she sold 6 full pizzas and 0.4 parts of one pizza
add that to 18 is 24.4 pizzas sold and 16.6 to go.

Help be genuine will mark brainliest

Answers

Answer is 160 units squared

I need help with this

Answers

Answer:

sience -2 is to the left of 2

_

. 3

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

B or C

Step-by-step explanation:

Because there is a 50% chance on landing on a odd number 2 or a even number 2.

Hope this helps bye

Pearl sent a box of 36 apples and oranges to her sister if 5/9 of shipments were apples how many apples did she send

Answers

Answer:

20 apples

Step-by-step explanation:

you do 36×5/9

36÷9=4

4×5=20

Cassandra reads 28 pages of a book in 1 1/6 hours. Express her reading speed in pages per hour?

Answers

Answer:

0.24 pages per hour

Step-by-step explanation:

To solve this you have to divide total pages by the hours to get the speed per hour. Here is the equation;

28 / 116 = 0.2413793103448276

Hope this helps!

The model below represents 5x = 15.
Which is the value of x in the equation 5x = 15?

Answers

it would be 3! this equation is asking, 5 times what number (x) is equal to 15? 5 times 3 is 15, meaning x is 3.

What is the probability of correctly guessing at random exactly 5 correct answers?round your answer to the nearest whole number.
A)5%
B)15%
C)45%
D)75%

Answers

Answer: There are 20 sets of numbers in the picture, one set is all 1's, which would be having all 5 answers correct.

Divide 1 by 20 to get 5%.

The answer is A.

Step-by-step explanation:

what is the GCF of 90, 135, 225​

Answers

Answer:

45 I believe.* u no ketchup

On a coordinate plane, line A is the y-axis, line d is the x-axis, point C is at (0, 0), and point B is a quadrant.
Use the drop-down menus to identify the parts of the coordinate plane.


Line A is the .
Region B is .
Point C is the .
Line D is the .

Answers

Answer:

Line A is the  

✔ y-axis

Region B is  

✔ a quadrant

Point C is the  

✔ origin

Line D is the  

✔ x-axis

Step-by-step explanation: Did it on Edgen

Answer:

its line d

Step-by-step explanation:

I did the test

HELPPP
I HATE LINKS

Answers

Pretty sure it´s 12.25

61.25 /5=12.5

you can check this by doing 12.5 x 5 ; 15 or 30 and you´ll get the same product in monthly earned

Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.

Answers

Answer:

you did not post a question?

Step-by-step explanation:

What is the width of the juice box?

Answers

the width of the juice box is 4 centimeters

Answer:

3.99928901529

Step-by-step explanation:

multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529

Pleaseee help (no links)

Answers

Answer:

1/8(smallest), 3/4(greatest)

Step-by-step explanation:

3/8=0.375

1/4=0.250

1/8=0.125

1/2=0.500

3/4=0.750

5/8=0.625


Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?


Answers

Answer:

1/3

Step-by-step explanation:

3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3

The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5

Answers

Answer:

0-2/5

I think this is it ;-;

Which of the following is a non-rigid transformation?

Answers

Answer:

c

Step-by-step explanation:

Answer:

B: Dilation

Step-by-step explanation:

Translations, rotations, and reflections are all rigid transformations because the image isn't altered. This makes a dilation a non-rigid transformation because the image is getting larger or smaller.

Three postal workers can sort a stack of mail in 15 minutes, 15 minutes, and 30 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
min

Answers

Answer: 10 minutes

Step-by-step explanation:

x·1/20 + x·1/25 + x·1/100 = 1

Multiply each term by 100 to clear the equation of all fractions

100x/20 + 100x/25 + 100x/100 = 100

5x + 4x + 1x = 100

10x = 100

x = 10

The answer is 10 minutes

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?

Answers

Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61

Jamal and Brianna each bought 3 oranges. They sliced each orange into 6 pieces. How many oranges slices did Jamal Brianna have altogether?​

Answers

Answer:The Answer is 18

Step-by-step explanation:if you have 3 oranges and each orange is sliced into 6 pieces each you multiply 3 by 6 and you get 18 and how you get 18 is you can add 6 three different times. :)

An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with ​99% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.

Answers

Answer:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that σ=21 and determine the required sample size.

A sample size of n is needed.

n is found when M = 6. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 2.575*21[/tex]

Dividing both sides by 3

[tex]\sqrt{n}= 2.575*3.5[/tex]

[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]

[tex]n = 81.2[/tex]

Rounding up:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

A group of 15 people were surveyed about the month they were
born. How many of the students were born in March?
.
3/5 born in September
1/3 born in December

Answers

Yeah I don’t know yeah I don’t know why you don’t like it but I’m not a
Only 1 person was born in March

3/5ths of 15 people is 9 people and 1/3rds of 15 people is 5 which totals to 14 meaning there is only 1 person left to be born in March

The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than the width Find the dimensions.
The width of the playing field is 20 ft.
(Type an integer or a decimal.)​

Answers

Answer:

21 ft by 66 ft

Step-by-step explanation:

From the question,

P = 2(L+W)............... Equation 1

Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.

If the Length of the Field is 45 ft longer than the width,

L = 45+W............ Equation 2

Substitute Equation 2 into equation 1

P = 2(45+W+W)

P = 90+4W............. Equation 3

Given: P = 174 ft.

Substitute into equation 3

174 = 90+4W

4W = 174-90

4W = 84

W = 84/4

W = 21 ft.

Substituting the value of W into equation 2

L = 45+21

L = 66 ft.

Hence the dimensions of the playing field is 21 ft by 66 ft

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