An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders ten Falafel wraps, twenty-five Turkey BLT sandwiches, and fifteen hot Ham and Swiss paninis for a total of $361.25. The next month, she orders fifteen Falafel wraps, thirteen Turkey BLT sandwiches, and twenty-two hot Ham and Swiss paninis for a total of $342.50. For the third month, she orders eight Falafel wraps, twenty-two Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $359. How much does each sandwich cost?

Answers

Answer 1

The solution to the system of equations will provide the cost of each sandwich type: Falafel wrap, Turkey BLT sandwich, and hot Ham and Swiss panini.

To determine the cost of each sandwich, we can set up a system of equations based on the given information.

Let's use the variables x, y, and z to represent the cost of one Falafel wrap, one Turkey BLT sandwich, and one hot Ham and Swiss panini, respectively.

From the first month's order, we can establish the equation:

10x + 25y + 15z = 361.25.

From the second month's order, we have the equation:

15x + 13y + 22z = 342.50.

And from the third month's order, we have:

8x + 22y + 20z = 359.

By solving this system of equations, we can find the values of x, y, and z, which represent the cost of each sandwich.

The solution to the system of equations will provide the cost of each sandwich type: Falafel wrap, Turkey BLT sandwich, and hot Ham and Swiss panini.

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Related Questions

Add the polynomials (4x+11)+(12x+2)

Answers

Answer:

16x + 13

Step-by-step explanation:

(4x + 11) + (12x + 2)

combine like terms (add the x's and add the numbers)

4x + 12x = 16x

11 + 2 = 13

(4x + 11) + (12x + 2) =

16x + 13

There are 14 apples in a basket. 8 of these are green. The rest of them are red. (a) what is the ratio of green apples to red apples? (b) what is the ratio of red apples to all apples in the basket?

Answers

6:8 - 6 red apples to 8 green apples.  1:1.33 - 1 red apple for every 1.33 green apples.  43% of the apples are red and 57% of the apples are green.  

Final answer:

The ratio of green apples to red apples is 4:3, and the ratio of red apples to all apples in the basket is 3:7 after simplification.

Explanation:

To solve the student's question:

First, we find the ratio of green apples to red apples. There are 14 apples in total, 8 of which are green, so 14 - 8 = 6 red apples. The ratio of green to red apples is therefore 8:6, which can be simplified by dividing both sides by 2, resulting in a simplified ratio of 4:3.

Next, we calculate the ratio of red apples to all apples in the basket. Since there are 6 red apples and 14 apples in total, the ratio is 6:14, which simplifies to 3:7 when both sides are divided by 2.

Therefore, the answer for part (a) is a ratio of 4:3, and for part (b) is a ratio of 3:7.

Has anyone did the storm tracker portfolio worksheet?

Answers

Final answer:

The 'Storm Tracker Portfolio Worksheet' likely entails exercises related to tracking weather systems, and this can be part of a geography or earth science curriculum in high school. It seeks to enrich students' understanding of weather systems, including Space Weather such as Sun storms.

Explanation:

Given that your query refers to a 'Storm Tracker Portfolio Worksheet,' it's presumed that this refers to lessons on tracking weather patterns and phenomena, linking to geography and earth science. In this context, it's important to note that these activities usually entail analyzing and predicting weather system developments, including storms brought about by  Space Weather such as those on the Sun.

The 'Storm Tracker Portfolio Worksheet' may include exercises like noting down storm paths, examining storm frequencies, interpreting storm system scenarios, among others. The ultimate goal of this exercise is to deepen students' comprehension of how weather systems and various atmospheric conditions affect our planet.

Each person's worksheet may differ based on their geographical location and the specific details needed to be observed and outlined at a given time. It would be helpful to refer to the instruction set provided along with your worksheet to understand what is required of you and what to look out for when completing the worksheet.

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Clarence made a scale drawing of a classroom. The scale in the drawing is 2 inches represents
9 feet. The actual length of the classroom is 36 feet. What is the length of the classroom on the
scale drawing?
A4 inches
B 8 inches
OC 27 inches
OD 162 inches

Answers

Answer:

The answer is B

Step-by-step explanation: The reason for this is you know that 2 in = 9ft so you multiply 9 to get 36/ the height of the classroom. The times you multiply is by equal to it by you multiply by 2 because 2= 9ft not 1=9ft so you take 4 and multiply by 2 and you get 8.

Answer:

B) 8 inches

Step-by-step explanation:

Since the scale of the drawing is 2:9, we will then make this into two fractions that equal each other to make this easier. To do this we will make the ratio 2:9 into a fraction being 2/9. Then we will make the missing value which is the length of the calssroom on the scale drawing over the actual length of the classroom which is 36. We will then make the fractions equal each other. 2/9 = x/36. We can either cross multiply ( 2 x 36 and 9 * x) or we can make the denominators the same. I am going to make the denominators the same. The equation will then look like this: 8/36=x/36. Now we know the value of x is 8. This makes the answer B) 8 inches.

A safe has a 4 digit lock code that does not include zero as a digit and no digit is repeated what is the probability that the lock code consist of all even digits
to find the total number of outcomes for this event find a permutation of ____ things taken 4 at a time
The total number of outcomes is ___
The total number of favorable outcomes is a permutation of ____ things taken 4 at a time
The probability that the lock code consists of all even digits is _____ out of 3,024

Answers

Answer:

3

4

5

Step-by-step explanation:

Answer:

9, 3024, 4 and 24

Step-by-step explanation:

much love

A region with a 15-mile diameter has a population density of about 5000 people
per square mile. Find the number of people who live in the region.

Answers

Answer:

Approximately 883,572 people

Step-by-step explanation:

I'm assuming the region is a circle.

The formula for finding the area of a circle is A=πr².

Since we know that the diameter of the region is 15 miles, and a diameter is 2 times the radius, the radius must be 7.5 miles. We also know that π is equal to 3.14159265359.

A=πr²

A= 3.14159265359×7.5²

A= 3.14159265359×56.25

A=  176.714586764

The region has an area of 176.714586764 square miles.

176.714586764×5000=883572.933822

We can round this number to the nearest whole, but since we cannot have part of a person, the answer is approximately 883,572 people.

Final answer:

To find the number of people who live in a region with a 15-mile diameter and a population density of 5000 people per square mile, we can calculate the area of the region and then multiply it by the population density.

Explanation:

To find the number of people who live in the region, we need to calculate the area of the region and then multiply it by the population density. The region has a 15-mile diameter, so the radius is half of that, which is 7.5 miles. The formula for the area of a circle is A = πr^2, where π is approximately 3.14. Plugging in the values, the area of the region is A = 3.14 × (7.5)^2 = 176.625 square miles.

Next, we multiply the area by the population density of 5000 people per square mile: 176.625 × 5000 = 883,125 people.

Therefore, there are approximately 883,125 people who live in the region.

Six students eat 6 apples in 33 seconds. How long will it take nine students to eat 19 apples, if they don't cut apples into parts?

Answers

Answer:

99

Step-by-step explanation:

It takes each student 33 seconds to eat an apple. This is done in parallel.

The time it would take if each person ate the exact same amount of apples is 69.6 repeating (calculated by (19 * 33) / 9). However, the apples cannot be cut into parts, so we need to round up to the next multiple of 33. Therefore 99 is the answer.

If a car used 250.000 W of power to complete a race in 12 s. how much work did the car do?

Answers

Answer:

300000

Step-by-step explanation:

Answer: 3,000,000

Step-by-step explanation:

Select the correct answer. What are the intercepts of y = 4x − 2?

Answers

x-intercept(s):  (1/2, 0) or (0.5, 0)

y-intercept(s):  (0,  −2)

Number of solutions of quadratic equations

Answers

The number is always 2, the type depends on the discriminant.

How to find the number of solutions of a quadratic equation?

For a general quadratic equation:

ax² + bx + c = 0

We can define the discriminant as:

D = b² - 4ac

And we can have 3 cases:

if D > 0, the quadratic equation has 2 real solutions.

if D = 0, the quadratic has two (equal) real solutions.

if D < 0, the quadratic has 2 complex solutions.

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What is the height, h, of one of the triangles?
4 ft
8 ft
7 ft
14 ft

Answers

Answer:

4 ft

Step-by-step explanation:

the width of two triangles is given as 8 just divide by 2 since answer is asking for only one triangle

Answer:

4

Step-by-step explanation:

Divide 8 by 2.

Veronica wants to multiply

23×15\dfrac23\times15

3


2




×15

start fraction, 2, divided by, 3, end fraction, times, 15

. So, she puts

1515

15

15

triangles into

33

3

3

equal-sized groups.



What is

23\dfrac23

3


2




start fraction, 2, divided by, 3, end fraction

of

15? 15?~~

15? will give branlest!

Answers

Answer:2737t

Step-by-step explanation:

Answer:

2/3 0f 15 equals 10

Step-by-step explanation:

We see a set of 151515 triangles. The set is split into 333 equal sections, or thirds.Hint #22 / 3To find 2332​start fraction, 2, divided by, 3, end fraction of 151515, we can shade 222 thirds. How many triangles are shaded?Three rows of fifteen identical triangles. Lines divide the triangles into 3 groups with 5 triangles each. All 5 triangles in the first group and all 5 triangles in the second group are shaded.1010start color #7854ab, 10, end color #7854ab triangles are shaded.

am i correct? will mark brainliest

Answers

Answer:

no, its 11 for the first one and 45 for the second

Step-by-step explanation:

Answer:

No 16 is 11 and 17 is 45%

Could you heart me and mark me ect.

Gwendelyn, who is a witch, went on an international witch tour. The following table shows the number of spells that she cast in each country.
Country Number of spells
Brazil 111
Argentina 555
Russia 555
Australia 111
Find the mean number of spells cast.
spells

Answers

Answer:

the answer is 3

Step-by-step explanation:

Answer: If this is for khan academy the mean is three.  :D

Step-by-step explanation:

Based on the angle measures in the diagram, what is the value of x?​

Answers

The answer is c if I’m correct

Answer:

32°

Step-by-step explanation:

Since the outer angle is 99°, the interior angle must be 180° - 99°. That is 81°. We then do the same for the outer angle 113°. So 180° - 113° is 67°. Since the angles of the interior angles must equal 180°, we add 81° and 67°. That equals 148°. Now to figure out x, 180° - 148° is 32°. I hope this helps! Please mark me brainliest!

Solve x2 − 24x = −80 by completing the square.

What is the solution set of the equation?

{2, 40}
{4, 20}
{5, 16}
{8, 10}

Answers

Answer:

{4, 20}

Step-by-step explanation:

x2 − 24x = −80

divide -24 by 2  and square result   get 144

x^2 - 24x  + 144 =  -80 + 144

(x - 12)^2  =  64

x - 12 = root (64)

x = 12 + 8  or  x = 12 - 8

x = 20 or 4

The solution set of the considered quadratic equation x^2 − 24x = −80 is given by: Option B: {4,20}

What is completing the squares method for solving the quadratic equations in one variable?

The method "completing the squares", as per the name suggests, try to make the quadratic equation of the form such that the x variable is totally covered in single squared term, as the square of a linear expression in x.

The quadratic equation would look something like:

(px + q)^2 = s

where p, q and s are some constants.

We do so, so that we can then use square root and some other operations to get the variable 'x' on one side of the equation, and all the constants on the other side, being solution of the considered  quadratic equation.

Expressing the quadratic equation in such form converts the form of the equation which contains 'x' with different powers in different term to a form which contains 'x' single time.

What is the expansion of square of sum of two terms?

Suppose that two terms are 'a' and 'b'.

Then, their sum's square is expanded as:

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

For this case, the equation considered is :

[tex]x^2 -24x = -80[/tex]

Comparing the left side with [tex]a^2 + 2ab + b^2[/tex], we see that we can use a = x.

Let we try to make the considered equation look more like the equation  [tex]a^2 + 2ab + b^2[/tex] .

[tex]x^2 -24x = -80\\x^2 -2(12)x = -80\\x^2 -2(12)x + 12^2 -12^2 = -80\\x^2 -2(12)x + 12^2 = -80 + 12^2 = 64\\[/tex]

Now, we can use [tex](a+b)^2 = a^2 + 2ab + b^2[/tex] for the left sided expression, as shown below:

[tex]x^2 -2(12)x + 12^2= 64\\\\(x-12)^2 = 64[/tex]

Taking square root, we get:

[tex]\sqrt{(x-12)^2} = \sqrt{64}\\\\(x-12) = \sqrt{(\pm 8)^2} = \pm 8\\or\\\\x = 12 \pm 8\\x = 12+8, x = 12-8\\x = 20, x = 4[/tex]

Thus, the solution set of the considered quadratic equation x^2 − 24x = −80 is given by: Option B: {4,20}

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Need help really bad

Answers

Answer:

10

Step-by-step explanation:

just add

Answer:

When xy are zero multiply by 1.33 and we will find y only if x =70

So the linear function will be

y =  90/0 = 0    =   y = x/0

y =   90/2 = 2    =   y = x/2

y =    90/4 = 4   =  y = x/4

y =    90/8 = 6   = y = x/8

x=90  y = 60 when both = 0

Or we can reverse and do x2+2 and call train f(x) and train = x = 90.

Step-by-step explanation:

70/90 = 0.77  =  70 x 1.33 = 90 as a fraction percentage 77%

60/45= 1.33  =  70 x 1.33 = 90 / 2 = 45   ( and as 22.5 as a fraction percentage 133/3%)

50/22.5=2.22  =  70 x 1.33 = 90/4 = 22.5 as a fraction percentage  222.2%

40/11.25=3.55 =  70 x 1.33 = 90 /8 = 11.25  as a fraction percentage= 355.5%

The probability of Sandy flipping a coin twice and getting heads both times is 0.250.250, point, 25. The probability of John's spinner stopping on the color red is \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction.
Which of these events is more likely?

Answers

Answer:

they are the same.

Step-by-step explanation:

Both have a 1/4 chance

Answer:

THE  are all the same  they all hae 1/4 chance

Step-by-step explanation:

I am pretty sure this will help =)

mark me brainliest =)

Have agreat day :)

What is the greatest common factor of 7 21 and 70

Answers

Answer:

1470

Step-by-step explanation:

I am pretty sure that this is the answer.

Tell me if i am wrong.

Can I get brainliest

Which number has the least absolute value? A) 30 B) 10 C) −20 D) −40

Answers

Answer:-40

Step-by-step explanation:

Because that means below 0

Answer:

10

Step-by-step explanation:

Helppppppppppp please am struggling

Answers

Answer:

x = 60°

Step-by-step explanation:

The circle is 360°, thus

2y + y = 360

3y = 360 ( divide both sides by 3 )

y = 120°

The tangent- secant angle ABT is one half the measure of the intercepted arc AB, thus

x = 0.5 × 120° = 60°

If the interest rates are the same on a CD, which compounding pays more interest?
annually
semi-annually
monthly
quarterly

Answers

Monthly, because your value goes up every month.
Final answer:

The CD that compounds more frequently will pay more interest; thus, monthly compounding yields more interest than quarterly, which in turn is more than semi-annually, with annual compounding paying the least.

Explanation:

When comparing the different compounding frequencies for a Certificate of Deposit (CD) with the same annual interest rate, the compounding option that pays more interest is the one that compounds more frequently. Compounding can occur on an annual, semi-annual, quarterly, or monthly basis. The more frequently the interest is compounded, the greater the amount of interest will be earned because each compounding period, the interest is calculated on the initially invested amount plus the previously earned interest.

For example, if interest is compounded monthly, it will be compounded 12 times a year, and each month's interest will begin to earn interest in subsequent months. Similarly, if interest is compounded quarterly, it will be compounded 4 times a year, and semi-annually compounding will occur twice a year. The least frequent is annually compounding, with only one compound per year.

Therefore, the CD that compounds monthly will pay the most interest, followed by the one that compounds quarterly, then semi-annually, and the least will be the CD that compounds annually, assuming the nominal interest rate is the same for all.

A student saves $15 per week toward the purchase of a guitar. Her grandmother gives her $50 to help her reach her goal, which function can be used to find the amount in dollars the student has saved after x weeks?

Answers

Answer:

Function: y= 15x + 50

or f(x)=15x+50

Answer:

f(x)=15x+50

Step-by-step explanation:

since her grandmother gave her $50 once you just add it to the problem, and she's collecting $15 every week meaning 15x.

Convert:
61⁄2 feet = how many inches

Answers

Answer: 78 inches

Step-by-step explanation: looked it up on google

Answer:

78 inches

explanation:

Because one foot equals 12 inches

WILL MARK BRAINLIEST Point A' represents the reflection of point A across the y-axis. Which coordinate pair represents the location of point A before the
transformation?
A.(3.-6)
B.(-3,-6)
C.(3,6)
D.(6,3)

Answers

The answer is, C, (3,6).

Answer:

its -3 6 i got it worng

Step-by-step explanation:

Which graph represents the function f (x) = StartFraction 2 x Over x squared minus 1 EndFraction?

Answers

Answer:

Step-by-step explanation:

f(x) = 2 / (x^2 - 1) is better written as

                 2

f(x) = ------------------

         (x - 1)(x + 1)

This is undefined at x = -1 and x = 1; there are vertical asymptotes at x = -1 and x = 1.

The y-intercept is found by letting x = 0; we get

                 2

f(x) = ------------------ = -2    =>    (0, -2)

         (0 - 1)(0 + 1)

Please, next time, share the answer choices.  Thank you.

By analyzing the asymptotes we can find the graph of the rational function. Also a graph is provided below.

Which graph represents the function?

We have the rational function:

f(x) = (2x)/(x^2 - 1).

First, you can see that we have two zeros on the denominator. One happens when x = 1 and the other when x = -1.

This means that the graph of this function will have two vertical asymptotes at these values. (four actually as we have one going to each end in each point).

With that description we can find the graph of the function, I will also post it so you can recognize it.

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A jar contains five blue marbles and three red marbles. Suppose you choose a marble at​ random, and do not replace it. Then you choose a second marble. Find the probability of the following event.
Both of the selected marbles are red.

Answers

Answer:

The probability that both of the selected marbles are red is [tex]\frac{3}{28}[/tex]

Step-by-step explanation:

Given

Number of red marbles = 3

Number of blue marbles = 5

Required

Probability of selecting two red marbles (without replacement).

First, we need to get the total number of marbles

Total = Red Marbles + Blue Marbles

Total = 3 + 5

Total = 8

Probability is calculated by: Number of required outcome divided by number of possible outcome.

Since there are 3 red marbles out of a total of 8 marbles;

The probability that the first marble you selected is red is 3/8

From the question, you didn't return the marble back to the container.

This means that, there are 2 red marbles and a total of 7 marbles left in the container.

So, the probability that the next marble selected is red is 2/7

Let P(R and R) represent the probability of selecting two red marbles.

This is calculated by multiplying the probability of picking the first red marble and the second red marble.

Hence,

P(R and R) = [tex]\frac{3}{8} * \frac{2}{7}[/tex]

P(R and R) = [tex]\frac{6}{56}[/tex] --- Reduce to lowest term

P(R and R) = [tex]\frac{3}{28}[/tex]

Hence, the probability that both of the selected marbles are red is [tex]\frac{3}{28}[/tex]

Suppose y varies inversely with x. Write an equation if y=7 when x=-4

Answers

Answer:

y = -28 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.

So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x

K = constant, we have to work this out

7 = k ÷ -4

7 × - 4 = k

k = - 4 × 7

k = -28

k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x

Find area of a circle that has a diameter of 8 m

Answers

Diameter \ 2 = radius
8/2 = 4
4^2 = 16
16*pi is about 50.27
Your area is 50.27m^2

Answer:

50.24 m^2

Step-by-step explanation:

Area of a circle = Pi r^2

Pi = 3.14

Diameter = 8 m

Radius r = diameter/2 = 8/2

= 4

Therefore

Area = 3.14 x 4^2

= 3.14 x 4 x 4

= 50.24 m^2

The polynomial x3 + 4x2 - 9x - 36 has 4 terms.
Use factoring by grouping to find the correct
factorization

Answers

Answer:

x2(x+4)-9(x+4)

Step-by-step explanation:

=(x2-9)(x+4)

Answer: D or (x²– 9)(x + 4).

The next one is A (difference-of-squares)

The last one is C (x + 3)(x – 3)(x + 4)

Step-by-step explanation: Edge '21

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The great Rift Valley was formed by?A. Earthquake and volcanic eruptionsB. Weathering and erosionC. Runoff from mountain streamsD. Other:________________ Find the area of the shape. Triangle D E F is shown. Angle D E F is 90 degrees and angle F D E is 42 degrees. The length of D E is 7.2 and the length of E F is d. What is the value of d to the nearest hundredth? d Which do you think was more successful Kennedy foreign policy or his domestic policies why How do the short hair and short dresses adoptedby the flappers represent these social values?Check all of the boxes that apply.They represent the acceptance of a returnto normalcyThey represent a rejection of tradition.They represent attempts at gender equality.They represent attempts to look like jazzsingers Multiplying Polynomials and Simplifying Expressions Which of the following is a stated purpose of the United States government under the Constitution? Selectthe two corect answers. When spotting a lifter do you need to be able to lift the weight yourself? Defend your response. What are the zeros of the quadratic function f(x) = 2x2 + 16x 9? Given the following 3 vertices, F(-5,1), A(-2,5), C(6,-1), find the fourth vertex, E, to make the figure a rectangle. Prove that FACE is a rectangle. Lilliput is a country that has closed borders and does not import or export any goods or services; hence, they do not worry about trade with other countries. Total spending for the federal government of Lilliput for the last fiscal year was $ 1.06 billion. The country collected $ 1.05 billion in taxes during this same fiscal year. Assume government transfers were zero. Based on this information, what is Lilliput's budget balance x2 + 4x - 21 = 0 quadratic formula can you help me find this answer 20 POINTS TRUE OR FALSE:An object with constant velocity will change its motion only if a balanced force acts on it. A) TRUEB) FALSE Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters. Given that these triangles are similar, which side corresponds to side GE? Given that these triangles are similar, which side corresponds to side JK? The diagrams below show a cross-section of an environment in which there are no earthworms present and a cross-section of an environment in which earthworms are present.Which of the following statements are true of how earthworms affect their environment according to these diagrams?I.Earthworms increase plant yields.II.Earthworms decrease the quantity of topsoil.III.Earthworms are beneficial to their environments.IV.Earthworms are detrimental to their environments.A. I, II, and IV only B. II and IV only C. I, II, and III only D. I and III only The value of x in the equation What are the individual presentation objects that are found in the PowerPoint program and used to display content to an audience?O filesO slidesO cells O charts If you believe the economy is about to go into a recession and your portfolio consists of growth stocks, defensive stocks and long-term bonds, you might change your asset allocation by selling ______ and buying ______. If no number is written next to a variable, the coefficient is understood to be the number