In a certain restaurant, customers must pay Php 150 for the basic pizza
and Php 5 for each additional slice of meat topping they wish to have in
their pizza. How much will the pizza cost if it has a dozen slices of meat
toppings? Give the linear equation.
*

Answers

Answer 1

Answer:

Php 210

Step-by-step explanation:

Basic pizza = Php 150

each additional slice of meat topping = Php 5

y = 150 + 5x

Where,

y = Total cost of pizza

x = number of additional meat topping

How much will the pizza cost if it has a dozen slices of meat

toppings?

A dozen slices of meat

toppings = 12 slices of meat

toppings

y = 150 + 5x

= 150 + 5(12)

= 150 + 60

= 210

y = Php 210

Answer 2

Using a linear function, it is found that the pizza will cost Php 210.

A linear equation has the following format:

\(y = mx + b\)

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

In this problem:

Basic pizza costs Php 150, thus \(b = 150\)Each additional slice costs Php 5, thus \(m = 5\)

Then:

\(y = 5x + 150\)

The cost if it has a dozen slices of meat  toppings is y when x = 12, thus:

\(y = 5(12) + 150 = 210\)

The pizza will cost Php 210.

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Related Questions

one more help How can you figure out the length of the dotted line that connects the two endpoints of the half circle?

Answers

Answer: Multiply the radius of the half circle by 2.

Step-by-step explanation: The dotted line that connects the two endpoints of the half circle is the diameter of the circle. To find the diameter of the circle, you will need to multiply the radius of the half circle by 2, since the radius is half of the diameter.

est the null hypothesis that the mean of the population is 3 against the alternative​ hypothesis, μ≠3. use α

Answers

To test the null hypothesis that the mean of the population is 3 against the alternative hypothesis μ≠3, we can use a hypothesis test with a significance level α.

In hypothesis testing, we compare a sample statistic to a hypothesized population parameter. In this case, we want to determine if the mean of the population is significantly different from 3.

To conduct the test, we first collect a sample of data. Then, we calculate the sample mean and standard deviation.

We use these statistics to calculate the test statistic, which follows a t-distribution with (n-1) degrees of freedom, where n is the sample size.

Next, we determine the critical region based on the significance level α. For a two-tailed test, we divide α by 2 to get the critical values for both tails of the distribution.

Finally, we compare the test statistic to the critical values.

If the test statistic falls within the critical region, we reject the null hypothesis and conclude that the mean of the population is significantly different from 3.

Otherwise, if the test statistic falls outside the critical region, we fail to reject the null hypothesis.

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I'm stuck here, please help

I'm stuck here, please help

Answers

Answer:

Are you stuck step-sis?

Step-by-step explanation:

please find the value of x please

please find the value of x please

Answers

Answer is 7

Step by step explanation

3x+159=180
3x=180-159=21
x=7

There is 3 correct ones. Please helpppppp

There is 3 correct ones. Please helpppppp

Answers

Answer:

i dont know

Step-by-step explanation:

But i think it is 10/1 20/2 and 60/6

I dont do slopes in Math but by the power of observation I beileve I have figured it out    

Answer:

1/10 2/20

Step-by-step explanation:

Those are the answers hope this helped.

volunteers for a human performance study were randomly divided into two groups. the first group had their flexibility measured in the morning after a short meditation session while the second group had their flexibility measured in the afternoon with no previous meditation session. the flexibility scores of the two groups were compared. to improve the design of this experiment, one part of it should be done in a blind way. that is, we should

Answers

To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation.

In the given experiment, the researchers have not employed any form of blinding, which could be a potential source of bias. Blinding is a critical aspect of experimental design, where the participants or the researchers are unaware of the group allocation or the treatment being administered. Blinding is used to eliminate any potential sources of bias that may arise due to the expectations or beliefs of the researchers or participants. In this particular study, the lack of blinding could have led to two possible sources of bias. Firstly, the participants in the first group who received the meditation session could have had higher expectations of improvement in their flexibility due to the meditation. These expectations could have led to higher motivation and effort during the flexibility measurement, leading to an artificial improvement in their flexibility scores. Secondly, the researchers who were measuring the flexibility of the participants could have been biased towards finding a difference between the groups due to their knowledge of the group allocation. This could have led to a subconscious alteration in the measurement process, leading to a false conclusion about the effect of meditation on flexibility.

hence To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation. For instance, the participants could have been assigned a unique identification number, and the researchers could have used coded labels to differentiate the groups. This would have eliminated any potential sources of bias due to expectations or beliefs and would have made the results more reliable.

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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by the local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion who are not satisfied.
(a) Past studies suggest that this proportion will be about 0.17. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015. (You will need a critical value accurate to at least 4 decimal places.) Sample size:
(b) Using the sample size above, when the sample is actually contacted, 25% of the sample say they are not satisfied. What is the margin of the error of the confidence interval? MoE:

Answers

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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căn 0.45*0.3*6
pls help
thanks you

Answers

Answer:

0,81

Step-by-step explanation:

0.45 x 0.3 x 6

= 0,135 x 6

= 0,81

\( = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} \)

Find the values of x and y

Find the values of x and y

Answers

Answer:

x = 8

y = 21

Step-by-step explanation:

The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement

7x + 12 = 12x - 28

12 + 28 = 12x - 7x

40 = 5x divide both sides by 5

8 = x

The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°

12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation

12 × 8 - 28 + 9y - 77 = 180

96 - 28 - 77 = 180 add like terms

9y - 9 = 180

9y = 189 divide both sides by 9

y = 21

a tank is filled with the liquid algebrol that weighs 8.8 pounds per gallon. when the tank contains 13 gallons of algebrol, the combined weight of the tank and the algebrol is 126.5 pounds. write an equation that expresses the combined weight of the tank and algebrol in pounds, w , in terms of the number of gallons of algebrol in the tank, v .

Answers

The equation that expresses the combined weight of the tank and algebrol in pounds, w, in terms of the number of gallons of algebrol in the tank, v, is:

w = 8.8v + 126.5

Determine the weight of the algebrol?

The weight of the algebrol per gallon is given as 8.8 pounds/gallon. Therefore, the weight of the algebrol in the tank is 8.8 times the number of gallons, which is represented by 8.8v.

Additionally, we are given that the combined weight of the tank and algebrol is 126.5 pounds. This weight includes the weight of the tank itself, which is independent of the number of gallons.

Hence, we add the weight of the tank to the weight of the algebrol, resulting in the equation: w = 8.8v + 126.5.

This equation allows us to calculate the combined weight (w) based on the number of gallons (v) of algebrol in the tank.

Therefore, the combined weight, w, of the tank and algebrol in pounds can be calculated by multiplying the number of gallons, v, of algebrol by 8.8 and adding 126.5.

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I NEED HELP ASAP PLEASE

I NEED HELP ASAP PLEASE

Answers

Answer:

the answer is x=10

Step-by-step explanation:

16-6=10

so x=10

Help please ASAP thank you!!
And no links please no linksss!!

Help please ASAP thank you!!And no links please no linksss!!

Answers

Given:

The dimensions of the square photo are 12'' × 12''.

The frame is 2 inches wider than the photo in both length and width.

To find:

The perimeter of the frame.

Solution:

We have,

Length of the photo = 12 inches

Width of the photo = 12 inches

The frame is 2 inches wider than the photo in both length and width. So,

Length of the frame = 12+2 inches

                                 = 14 inches

Width of the frame  = 12 inches

                                = 14 inches

The perimeter of a square is:

\(P=4a\)

Where, a is the side length.

Now, the perimeter of the square frame with side 14 inches is:

\(P=4(14)\)

\(P=56\)

Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.

The point (
7
,
24
)
is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?

Answers

To determine the exact values of the six trigonometric functions of the angle, we need to use the point (7,24) and the Pythagorean Theorem.
Step 1: Use the Pythagorean Theorem to find the hypotenuse of the right triangle formed by the point (7,24) and the origin (0,0). The hypotenuse is the distance from the origin to the point (7,24).
c^2 = a^2 + b^2
c^2 = 7^2 + 24^2
c^2 = 49 + 576
c^2 = 625
c = 25
Step 2: Use the hypotenuse and the coordinates of the point (7,24) to find the exact values of the six trigonometric functions.
sin θ = opposite/hypotenuse = 24/25
cos θ = adjacent/hypotenuse = 7/25
tan θ = opposite/adjacent = 24/7
csc θ = hypotenuse/opposite = 25/24
sec θ = hypotenuse/adjacent = 25/7
cot θ = adjacent/opposite = 7/24
The exact values of the six trigonometric functions of the angle are sin θ = 24/25, cos θ = 7/25, tan θ = 24/7, cosc θ = 25/24, sec θ = 25/7, and cot θ = 7/24.

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Find x?
Please Help

Find x?Please Help

Answers

Answer:

15

Step-by-step explanation:

DEC=150 cause DAB is isosceles

answer for: -10 = 10 = 7m. m =

•0
•7
•10
•11

Answers

Answer:

Ok so your answer should be m = 0

Step-by-step explanation:

the explanation is to Rewrite the equation as  − 10 +7 m = − 10 .− 10 + 7 m = − 10

Move all terms not containing  m

to the right side of the equation.

7 m = 0

 Divide each term by  7

and simplify.

m = 0

i hope this can help

Find a rational function that has vertical asymptotes x= -4 and x= 2 and x-intercept (3,0). Write equation and show work

Answers

Step-by-step explanation:

to create a vertical asymptote (a tangent of the curve in infinity) at x = n we define e.g.

f(x) = 1/(x - n)

the cost x gets to n, the much closer the function gets to 1/0 and infinity.

so, the part to get us the asymptote at x = -4 is

1/(x + 4)

the part to get us the asymptote at x = 2 is

1/(x - 2)

and the part that gives us a zero solution at x = 3 is

(x - 3)

because that is what the point (3, 0) is : when x = 3. then y = 0.

now we only need to multiply all 3 parts to combine them :

f(x) = 1/(x + 4) × 1/(x - 2) × (x - 3)

The image of (2,-5) under the translation (X-3.y+6)

Answers

(7,2) is the correct answer. just took test

A suspect has two months of unpaid fees. One month they had 3 parking tickets and 14 traffic violations totaling $2030.The second month they had 11 parking tickets and 11 traffic violations totaling $2200 . How much does each parking ticket cost? How much does each traffic violation cost?

Answers

Answer:

Ok, sure.

Step-by-step explanation:

Let's denote the cost of a parking ticket as "P" and the cost of a traffic violation as "T".

From the information provided, we can create the following equations:

Equation 1: 3P + 14T = 2030 (for the first month)

Equation 2: 11P + 11T = 2200 (for the second month)

We now have a system of equations to solve. We can use various methods to find the values of P and T.

One common method is to use substitution. We can solve Equation 1 for P and substitute it into Equation 2:

From Equation 1, we can isolate P:

3P = 2030 - 14T

P = (2030 - 14T) / 3

Substituting P into Equation 2:

11((2030 - 14T) / 3) + 11T = 2200

Now, we can solve this equation to find the value of T.

11(2030 - 14T) + 33T = 6600

22330 - 154T + 33T = 6600

22330 - 121T = 6600

-121T = 6600 - 22330

-121T = -15730

T = -15730 / -121

T ≈ 130

Now that we have the value of T, we can substitute it back into Equation 1 to find the value of P:

3P + 14(130) = 2030

3P + 1820 = 2030

3P = 2030 - 1820

3P = 210

P = 210 / 3

P = 70

Therefore, each parking ticket costs $70, and each traffic violation costs $130.

Answer:

To calculate the cost of parking tickets and traffic violations, you need to know the number of tickets and the total amount of fines. Then you can divide the total amount by the number of tickets to get the cost per ticket.

For example, in the first month, the suspect had 3 parking tickets and 14 traffic violations totaling $2030. The total number of tickets is 3 + 14 = 17. The cost per ticket is $2030 / 17 = $119.41.

In the second month, the suspect had 11 parking tickets and 11 traffic violations totaling $2200. The total number of tickets is 11 + 11 = 22. The cost per ticket is $2200 / 22 = $100.

Therefore, each parking ticket costs $119.41 in the first month and $100 in the second month. Each traffic violation costs $119.41 / 14 = $8.53 in the first month and $100 / 11 = $9.09 in the second month.

I hope this helps!

Step-by-step explanation:

Find the decay factor from the model y =4520(0.6)square 6

Find the decay factor from the model y =4520(0.6)square 6

Answers

Answer:

Step-by-step explanation:

Solve - 8x = 56 for x.

Answers

\(\begin{gathered} -8x=56 \\ we\text{ want to find x } \\ \text{let us divide both sides by -8} \\ \frac{-8x}{-8}=\frac{56}{-8} \\ x=-7 \end{gathered}\)

Calculate the rise and run to find the she slope a line

Calculate the rise and run to find the she slope a line

Answers

Answer:

slope = 3

Step-by-step explanation:

rise/run = 6/2 = 3

the answer to the question is 3

3/8
of the students in Shaun's class play an instrument. What is

this number as a decimal?

Answers

Answer:

0.375 you could've searched what is 3/8 as a decimal and u would've gotten your answer lol

Students play an instrument=3/8

We have to turn it into fraction

3/83(125)/8(125)375/10000.375

when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same

Answers

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3

Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

HELP!!!!!!!ASAP!!! I NEED TO SUBMIT! WILL GIVE 100 POINTS AND BRAINLIEST!!!!!!!!!!

A group of students was asked about the number of flights they have taken. The data is shown in the line plot. Which of the following best describes the spread of the data? Explain its meaning in this situation. The data has a range of 5, which is a wide spread. This means the greatest number of flights was 5. The data has a range of 15, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students. The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights. The data has a range of 15, which is a wide spread. This means that there is a difference of 15 flights between each of the students.

Answers

Answer:

In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.

The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.

Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."

Step-by-step explanation:

Solve this system:

2x+5y+z=3
x-3y+2z=2
-x+2y-3z=-7

Answers

Answer:

x= -3

y= 1

z= 4

Step-by-step explanation:

Please see the attached pictures for the full solution.

*I evaluated the determinants using Sarrus' rule (see last picture):

∆= aei +bfg +cdh -gec -hfa -idb

*The symbol '∆' (delta) is usually used to denote a determinant.

Solve this system:2x+5y+z=3x-3y+2z=2-x+2y-3z=-7
Solve this system:2x+5y+z=3x-3y+2z=2-x+2y-3z=-7
Solve this system:2x+5y+z=3x-3y+2z=2-x+2y-3z=-7
Solve this system:2x+5y+z=3x-3y+2z=2-x+2y-3z=-7

Compound interest
Al invests some money in a bank that pays 5% compound interest per year
She wants it to be worth £8000 at the end of 3 years
What is the smallest amount she could invest?

Answers

Answer:

£6886

Step-by-step explanation:

P x e^r x t is the formula for compound interest

P x e^0.05 x 3 = 8000

P x 1.162 = 8000

P = 6885.66 = £6886 (round to the nearest pound)

Answer: £6910.71

Step-by-step explanation:

im not sure but i got this

help please!!!!!!!!!!!!!!!!!!!!!!!!

help please!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

oh did you just take your 7 grade MATH BENCHMARK

picked d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Remark

The trick is to solve the inequality. The last step is very tricky. Be careful with it.

Equation

15≤ -3x + 6                     Subtract 6 from both sides

15-6 ≤ - 3x + 6 - 6            Combine

9 ≤  -3x                           Divide by - 3

9/-3 ≥ -3x/-3                   Notice what happened to the less than or equal to

-3  ≥ x

Now there are 2 problems remaining.

1) why did the inequality turn around?

It turned around because when you divide by a number less than 0, the inequality turns around because the negative numbers work opposite to the positive numbers .

18 > 6

-18 < - 6

2) So which graph is correct.

The largest number that is possible is -3 The arrowhead should be pointing left.

In addition, the circle should be blacked in.

The answer is as you have marked it: A

Chloe consumes good X and good Y. Chloe believes that 6 units of good X is always a perfect substitute for 1 unit of good Y. Write down a utility function that describes Chloe's preferences.

Answers

In this utility function, the term 6X represents the utility derived from consuming good X, while the term -Y represents the disutility or loss of satisfaction from consuming good Y. By subtracting Y from 6X, Chloe's preferences reflect the substitution relationship she perceives between the two goods.

A utility function describes an individual's preferences and the satisfaction they derive from consuming different goods. In Chloe's case, she believes that 6 units of good X can fully replace the satisfaction derived from consuming 1 unit of good Y. Therefore, we can construct a utility function based on this substitution ratio.

Let's denote the quantity of good X as X and the quantity of good Y as Y. Since Chloe believes that 6 units of X perfectly substitute 1 unit of Y, we can express her utility function as:

U(X, Y) = 6X - Y

It's important to note that utility functions are subjective and specific to an individual's preferences. Chloe's utility function captures her belief that 6 units of X are equivalent to 1 unit of Y, but it may not hold true for other individuals with different preferences or perceptions of substitutability between the goods.

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Frankie enlarged the size of a rectangle to a height of 20 cm. What is the new width if it was originally 2 cm wide and 4 cm tall

Answers

Answer: 10

Step-by-step explanation:

4 to 20 which is times by 5 so 2 times by 5 is 10

Can someone pls help? i dont understand this

Can someone pls help? i dont understand this

Answers

Answer:

b

Step-by-step explanation:

Other Questions
inelastic demand implies part 2 a. that a one percent cut in price results in a larger than one percent increase in quantity demanded. b. that a one percent decrease or increase in price induces no change in total revenue. c. that a one percent increase in price results in a smaller than one percent decrease in quantity demanded. d. that a one percent increase in price results in a larger than one percent decrease in quantity demanded. it is not unusual for a 1000-kgkg car to get 30 mi/galmi/gal when traveling at 60 mi/hmi/h on a level road.Part A If this car makes a 200-km trip, how many joules of energy does it consume?Note that 1.0 gal of gasoline yields 1.3 109J (although this can vary). Express your answer using two significant figures. Submit My Answers Give Up Incorrect; Try Again; 3 attempts remaining Part B What is the average rate of energy consumption during the trip? Express your answer using two significant figures. Pav- kW Submit My Answers Give Up An increased growth rate in malaysia has increased the malaysian demand for u.s.-produced coal. malaysia increases its imports of u.s.-produced coal by $20 million. u.s. net exports will:_________ Which of the two is of interest in the plant locational decision? what age group is bacterial vaginosis most common in? The random variable R has the binomial distribution B (12,0.35) .find P(R>4) During shielded metal arc welding, a welder can receive a burn comparable to sunburn if proper protective clothing is not worn. a. true b. false Which statement best describes one reason why assemblylanguage is easier to use than machine language?O A. It allows programmers to easily calculate prime numbers.O B. It uses the simplest form of code, also known as binarycode.O c. It is the best way to tell a computer to complete asingle task.O D. It allows programmers to write abbreviations instead ofrepeating calculations What functional group can be found in every fatty acid? Assume that the economy is at full employment. Policymakers wish to maintain the price level but want to encourage greater investment. Which of the following combinations of monetary and fiscal policies would best achieve this goal?A.Monetary Policy Fiscal Policy No change ContractionaryB.Monetary Policy Fiscal Policy Expansionary No changeC.Monetary Policy Fiscal Policy Expansionary ContractionaryD.Monetary Policy Fiscal Policy Expansionary ExpansionaryE.Monetary Policy Fiscal Policy Contractionary Expansionary The preparations of two aqueous solutions are described in the table below. For each solution, write the chemical formulas of the major species present at equilibrium.You can leave out water itself. Write the chemical formulas of the species that will act as acids in the 'acids' row, the formulas of the species that will act as bases in the 'bases' row, and the formulas of the species that will act as neither acids nor bases in the 'other' row.You will find it useful to keep in mind that NH3 is a weak base. Exercise 2 Write run-on next to each run-on sentence.After attending Randolph-Macon Womans College, she returned to China and became a teacher. Which of the following sentences orders adjectives correctly? (2 points) aThe awful, round, new, green sprouts taste terrible. bThe green, new, round, awful sprouts taste terrible. cThe new, awful, green, round sprouts taste terrible. dThe round, awful, green, new sprouts taste terrible. Find a congruence transformation that maps triangle RST to triangle UVW. 21. ABC Comapny has an outstanding bond callable at $1,340. The total value of the bond is $100 million. The company determines issuing a new bond and use the proceeds to buy back the above bond, with transaction cost is $1,310,000. Suppose the tax rate is 30%. Based on the information given above, the total after-tax cost of refunding is approximatelyA. $24.7 million.B. $42.5 million.C. $185.5 million. A family of five people has $200 to spend on fishing rods and fishing licenses. They spend a total of $20 on licenses. Assuming they buy 5 identical rods, what is the maximum amount they can spend on each rod? how do you solve this????? a *BONUS* Consider a relation T on Z where T = transitive? Justify your answer {(1,1)}. Is T reflexive? Is T symmetric? Is T solve x + 4 / x - 3 = 4 , step by step explanation will mark as brainliest Vielle Filled her 1/2 Cup measuring cup seven times to have enough Flour for a cake recipe how much flour does the cake recipe call for what kind of art is most associated with the culture of Pacific South ocean..? (please help)