For the end-of-year party, Mt.Rise Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepperoni pizzas. There were three times as many combo pizzas as pepperoni pizzas. Use the 5-D process to define a variable and write an equation for this situation. Then determine how many of each kind of pizza were ordered.

Answers

Answer 1
Let the number of pepperoni pizzas be x
pepperoni = x
veggie = x - 8    [There were eight fewer veggie than pepperoni]
combo = 3x       [There were three times as many combo as pepperoni]

Given that the total Pizza: 112
x + x - 8 + 3x = 112
5x - 8 = 112
5x = 112 + 8
5x = 120
x = 24

x= 24
x - 8 = 16
3x = 72

So there were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza


Related Questions

does 3/4 have the same value as the expression 4 ÷ 3 answer

Answers

no. 4/3 or 4 divided by three is not the same as 3/4 or three fourths. 4/3 is 1.33333333333. 3/4 is .75

two numbers have a difference of 0.7 and a sum of 1 what are the numbers

Answers

0.85 and 0.15

0.85 - 0.15 = 0.70
0.85 + 0.15 = 1

0.85 and 0.15 is your answer

hope this helps
{x+y = 1
{x-y = 0.7
add both equations
2x = 1.7
x = 0.85

x+y = 1
y = 1-x
y = 1-0.85
y = 0.15


macy is trying to construct an isosceles triangle. She assigns and angle measurement of 40 degrees to the unique angle of the triangle. She wants the length fo the opposite side (the base) to be 6 centimeters. How many isosceles triangles can macy construct using this information? A. 3 cm B. 10 centimeters, C. 12 Centimeters D. 14 centimeters, E. 18 centimeters

Answers

Given that Macy wants to construct an isosceles triangle, with the unique angle being 40° it implies that for the triangle to be isosceles, the base angles should be the same. The size of the base angles will be:
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm

Answer:

the awnser is 2

Step-by-step explanation:

if she makes more that 2 the 3rd one wont be an isosoceles triangle

A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter: 3 meters. How wide is the model?

Answers

i believe the answer is 6 cm.

Answer: 6 centimeters

Step-by-step explanation: I took the test and got this answer correct :)

anyone wants to help?

Answers

Hey there!

The y-intercept is 1/3.

This is because this is written in slope intercept, which is defined as:

y = mx + b

With the slope being m and the y intercept being b. 1/3 is being added to -2/9x, and therefore by the rules of the formula it's the y intercept.

As a quick background on a y intercept, it's where the line crosses the y axis. It can be positive, or negative, and the coordinates never have an x value.

Hope this helps!

instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.

question: There are 5 red marbles and 9 blue marbles in a bag. suppose two of the marbles are cracked. how many ways can four marbles be selected so that either no cracked marbles are selected or just one cracked marble is selected?

Answers

There are 14 marbles in the bag, and we either want to get 0 or 1 cracked one (out of 2 cracked marbles) in 4 draws. Since there are 12 uncracked marbles and 2 cracked ones:
To get 0 cracked marbles, there are 12C4 ways (to draw 4 marbles out of the 12 uncracked ones only). 12C4 = 495 ways
To get 1 cracked marble, we need 3 to be from the 12 uncracked ones, and 1 from the 2 cracked ones. This means there are 12C3 x 2C1 = 440 ways
So the total number of ways is 495 + 440 = 935 ways.

Two sides of an isosceles triangle have lengths of 6 inches and 15 inches, respectively. What is the length of the third side?

Answers

The answer is 15, since an isosceles triangle is a triangle with two sides of the same length. It can't be 6, for 6+6 is only twelve, and that will not a make really triangle. 

combine the like terms 10 y + 1 x - 4y + 4x

Answers

10y + 1x - 4y + 4x = (1+4)x + (10-4)y = 5x + 6y
.....................................................................................................
To combine like terms means that we must perform the indicated operations in order to simplify an expression or solve an equation.

We begin with the expression:
10y+1x-4y+4x
First, we are going to combine the x terms. To do this, we use simple addition, similarly to if the variable x wasn’t there. We get:
10y-4y+5x
Next we are going to do the same thing with the y terms.
6y-5x
Because there are no more like terms left to combine, this is the most simplified answer that you can achieve for this question.

Hope this helps!

how to solve this ? the question asked, the distance between two houses P&Q is 200 kilometer. Joe travel by car from P to Q at average speed of x km/h

a) write down an expression in terms of X for the number of hours he took to travel from P to Q.

b) he returned from Q to P at an average of (x + 5) km/h. write down an expression in terms of X for the number of hours he took to travel from Q to P

c) the total time he took to go from P to Q & to return from P to Q was 8 hours

Answers

◆ Distance and Time ◆

Hey !!

Check the attachment.
Hope it helps you :)

Need help with number 9 please, thanks.

Answers

Its point P because the lines between 1 and 2 are 1/4 2/4 and 3/4 and its looking for 1 1/4 so the correct is the line after number 1 on the x axis and the y axis is 2 which you can see p is located it

What is 14.281 rounded to the nearest one?

Answers

To the nearest one, 14.

A local hamburger shop sold a combined total of 712 hamburgers and cheeseburgers on Tuesday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?

Answers

A local hamburger shop sold a total of 712 burgers on Tuesday

There are 62 more cheeseburgers than hamburgers

let cheeseburers = c
let hamburgers = h

h + 62 = c
c + h = 712

Plug in h + 62 for c

(h + 62) + h = 712
2h + 62 = 712
2h + 62 (-62) = 712 (-62)
2h = 650
2h/2 = 650/2
h = 325

There are 325 hamburgers sold on Tuesday

c = 325 + 62
c = 387

There are 387 chesseburgers sold on tuesday (in case you were wondering)


hope this helps

Final answer:

To find how many hamburgers were sold, we set up an equation and solve for H, the number of hamburgers. After forming the equations, simplifying, and solving, it turns out that 325 hamburgers were sold on Tuesday.

Explanation:

The student is asking how many hamburgers were sold on Tuesday given that a total of 712 hamburgers and cheeseburgers were sold, with there being 62 more cheeseburgers sold than hamburgers. To solve this, we can set up an equation. Let's denote the number of hamburgers sold as H and the number of cheeseburgers as C. According to the problem,

C = H + 62 and H + C = 712.

By substituting the first equation into the second, we get:

H + (H + 62) = 712

Simplifying, we have

2H + 62 = 712

Subtracting 62 from both sides, we get-

2H = 650

Dividing both sides by 2, we find -

H = 325

Therefore, 325 hamburgers were sold on Tuesday.

Of the 304 people who attended the school play,5/8 were students.How many of the people who attended were students?

Answers

190 people who attended were students.

e vertices of a trapezoid are shown below. P(0, 0), Q(2, 0), R(2, 5), S(0, 10) This trapezoid is dilated about the origin by a scale factor of 3. What is the location of point Q'?

Answers

The location of point Q' after the dilation is (6, 0).

What is dilation?

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

To dilate the trapezoid by a scale factor of 3 about the origin, we need to multiply the coordinates of each vertex by 3.

The coordinates of Q are (2, 0), so to find the coordinates of Q' after the dilation, we multiply both the x and y coordinates by 3:

Q' = (32, 30) = (6, 0)

Therefore, the location of point Q' after the dilation is (6, 0).

To learn more about the dilation in geometry;

https://brainly.com/question/10713409

#SPJ3

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?

Answers

8.5 + 11 X = 10 + 10.5 X
0.5x=1.5
x=3
after 3 hrs the price will be the same

What is the equivalent factored form of 12x^4-42x^3-90x^2

Answers

Factor the following:
12 x^4 - 42 x^3 - 90 x^2

Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)

Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)

Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer:  6 x^2 (2 x + 3) (x - 5)
12x^4 - 42x^3 - 90x^2 =
6x^2(2x^2 - 7x - 15) =
6x^2(2x+3)(x - 5) <==

hope this helped :)
alisa202

What symbol should be placed in the blank to make the equation true? 3 + 10___ 2 - 4 = 4

Answers

A division symbol (/) because, following PEMDAS, 10/2 is 5 -> 5+3=8 -> 8-4=4

25 POINTS TO WHO EVER ANSWERS!!!

1. An ice cream store owner randomly samples 50 customers each day on three separate days to give their opinion about which flavors should be flavor of the month.

Vanilla | Chocolate | Rocky Road | Cheesecake

Day 1: 13 | 12 | 11 | 14

Day 2: 12 | 15 | 11 | 14

Day 3: 15 | 7 | 8 | 20

Select from drop-down menu to complete the statement using the information in the "table".

Based on the results of the survey, if the ice cream store owner asks 2300 people, ____ will most likely pick vanilla to be flavor of the month.

2. The line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night.



x
x
x x
x x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10

x x
x x x
x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10


Select from the drop-down menus to complete each statement.

The range ________. The mean __________.

1. answers: 40, 150, 460, or, 613

2 A. answers: is greater for boys, is greater for girls or, us the same for both sets of data

2 B. answers: is the same for both sets of data, is greater for the boys or, is greater for the girls

Answers

1 I think is 150 and 2 is equal I think

the Jackson family went out to dinner
the price of the meal was 43.45
the sales tax was 7% of the price of the meal
the tip was 15% of the meal and sales tax.
how much money did the smith family pay for the meal, including tax and tip?

Answers

Answer:  Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Step-by-step explanation:

Since we have given that

Price of the meal = 43.45

Rate of sales tax = 7%

Amount becomes after the sales tax is given by

[tex]\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915[/tex]

Rate of tips over meal and sales = 15%

Amount of tips is given by

[tex]\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974[/tex]

So, Amount becomes

[tex]46.4915+6.974\\\\=53.465\\\\=53.47[/tex]

Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.


What is the volume of the pyramid to the nearest whole unit?

A. 1,134 yd^3
B. 567 yd^3
C. 378 yd^3
D. 284 yd^3

Answers

Volume = 1/3 * height * area of the base

            = 1/3 * 9 * (9*14)  =  378 yd^3  Answer

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run? Round your answer to the nearest meter.

Answers

The distance covered by a player on a rectangular football field will be 118.73 meters.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.

Then the distance covered by a player on a rectangular football field will be given by the Pythagoras theorem.

H² = 100² + 64²

H² = 10000 + 4096

H² = 14096

H = 118.73 meters

The distance covered by a player on a rectangular football field will be 118.73 meters.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

The vertices of triangle ABC are A(−6,−3) and B(2,−3). Which coordinates of the third vertex allow the triangle to have an area of 24 square units?

Answers

Final answer:

The third vertex C of triangle ABC with vertices A(-6,-3) and B(2,-3) and area 24 square units can have coordinates (0,3) or (0,-9).

Explanation:

Given the vertices of triangle ABC are A(−6,−3) and B(2,−3). The coordinates of point C will form the third vertex of the triangle. The distance from A to B is the base of the triangle and can be calculated as follows: AB = sqrt[(2 -(-6))^2 + ((-3) - (-3))^2] = 8 units. The area of a triangle is calculated by the formula: 1/2*base*height=area. Given that the area of the triangle ABC is 24 square units, we can set up the following equation: 1/2*8*height=24. Solve for height to get the y-coordinate of point C as 6 units above the line AB (which lies on y = -3), for C(0,3) or 6 units below line AB for C(0,-9). Therefore, the third vertex C can be at coordinates (0,3) or (0,-9) for the triangle to have an area of 24 square units.

Learn more about Coordinates of Triangle Vertices here:

https://brainly.com/question/37851962

#SPJ12

A student used the equation below to create a table.

y = –3x – 5

The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?

A. (–11, –2)
B. (–2, –11)
C. (–2, 1)
D. (1, –2)

Answers

C. (-2,1)

Hope this helps<3
I think the answer is C.

A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.



What is the volume of the prism?



Enter your answer in the box as a simplified mixed number or a decimal.

Answers

Hello!
----------
The volume of the prism is 26.25 inches
----------
WORK: 3.5*3.5*1.5=26.25
----------
Have a great day!

Answer:

26.25

Step-by-step explanation:

I took the test.

What is the slope of the graph shown below?

Answers

Answer:  The correct option is (A) 4.

Step-by-step explanation:  We are given to find the slope of the graph shown in the figure.

We can see that the graph is a straight line.

Also, the line passes through the points [tex](0,-3)[/tex] and [tex]\left(\dfrac{3}{4},0\right).[/tex]

We know the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the given line is

[tex]m=\dfrac{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.[/tex]

Thus, the required slope of the graph is 4.

Option (A) is correct.

When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn’t fail), and 24 students got perfect scores. How many students were in the class?

Answers

15%+25%=40%, meaning that 40% of the class didn’t get a perfect score and 60% did. If 24 students got a perfect score and 24 students is equal to 60% of the class, you can solve by setting up a proportion. 
24 students X students——————- = —————-60% of class 100% of class
Next, cross multiply to get 2400 = 60X. Divide both sides by 60 and you’ll get 40. There are 40 students in the class. 
 Read more on Brainly - https://brainly.com/sf/question/8538362
We can see that 24 people are forming 60% of the class, so the total class is 40

15 POINTS!! HELP ME PLZ!!!
In conducting a survey of voters, a pollster selected every tenth name on a list of registered voters.
Which sampling technique did the pollster use?

a) convenience sampling
b) stratified sampling
c) systematic sampling
d) voluntary sampling

Answers

The answer is C: systematic sampling

Answer:

The awnser is C

Step-by-step explanation:

You deposit $350 in a savings account. The account earns 2.5% simple interest per year. What is the balance after 2 years?

Answers

Answer:

Balance = $367.5

Step-by-step explanation:

The 2.5% of $350 is,

→ (350/100) × 2.5

→ 3.5 × 2.5

→ $8.75

The balance after 2 years is,

→ $350 + (2.5%) × 2 years

→ 350 + 8.75 × 2

→ 350 + 17.5

→ $367.5

Hence, the answer is $367.5.

The balance after 2 years on principle amount of $350 at the rate of 2.5% will be $525.

What is Simple interest?

The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.

Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.

As per the information in the question,

Principle amount, p = $350

Rate, r = 2.5%

Time, t = 2 years.

Use the formula of simple interest,

[tex]S.I = (p*r*t)/100[/tex]

S.I = (350 × 2.5 × 2)/100

S.I = 17500/100

S.I = 175

Now, the total amount will be,

$350 + 175 = $525

To know more about Simple Interest:

https://brainly.com/question/25845758

#SPJ2

a $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?

Answers

interest rate is 5% annually. After 4 years relative value of interest will be 1.05^4
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03
Final answer:

To calculate the balance in the account after 4 years, use the compound interest formula.

Explanation:

To calculate the balance in the account after 4 years, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:
A is the balance after the specified time period
P is the principal amount (initial deposit)
r is the interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years

In this case, the principal is $4,000, the interest rate is 5% (written as 0.05), the interest is compounded annually (n = 1), and the time period is 4 years (t = 4). Plugging in these values, we get:

A = $4,000(1 + 0.05/1)^(1*4)

A = $4,000(1.05)^4

A = $4,000(1.2155)

A ≈ $4,862.20

The balance in the account after 4 years is approximately $4,862.20.

Learn more about Compound interest here:

https://brainly.com/question/14295570

#SPJ2

What is the next expression in the following pattern: 4n; 8n; 16n???

Answers

The next expression in the pattern is 32n
Other Questions
american citizens may belong to __ interest groups at one time.A.) no more than fourB.) as many as twoC.) any number ofD.) as many as three Sequence of m-rna that is not involved in coding for a protein which is cut out before it is read by the ribosomes It is Jamies birthday and her mom just bought her an Xbox. Shes trying to find the surface area of the box so she can determine how much wrapping paper to use. The box is 24 inches long 12 inches wide and 10 launch is high what is the surface area of Jamies new Xbox? Dudo que l _____ el permiso para hacer el concierto.pidaspidanpidapidamos A cylinder is submerged in water as illustrated in the diagram. At which position is the pressure the lowest? A B C D Which word best completes this sentence? Lorenzo escribe muy bien y sus _______________ va a ganar muchos premios en el futuro. dilogos canciones pelculas guiones Religious leaders who act in accord with what they say are god's wishes are a key feature of a(n) ______. How can the reader tell that the yellow wallpaper by Charlotte Perkins Gilman is written in the first person point of view? Which ancient river valley civilization was located along the Tigris and Euphrates Rivers in the land of Mesopotamia? Mosses are examples of which type of plant? Is escargot halal or not?My mom recently ate escargot and I wanted to know if it is halal macro or haram. Sienna decides to study movement in plants. Identify the correct sequence of the scientific steps, and place the steps in order. She developed a hypothesis that plants move toward light.Over six weeks, both plants grew toward their available light source. She put one plant near the window and another in a dark room with a small opening that let light come through.Every few days she checked the plants and recorded the direction of their growth. find the value of x How did the movement to abolish slavery contribute to the subsequent movement to expand womens rights? Select all that apply. A.Prohibited from publicly speaking at abolition events, female proponents of abolition formed the first convention for womens rights. B.Demands for full equality for newly freed slaves evolved into demands by middle class men for full equality for women. C.Passage of the 15th Amendment contributed to demands by female abolition activists for female suffrage. D.The success of the movement to abolish slavery convinced southern voters to support suffrage for married women. Which of the following would be a factor of the equation above. Which statement best explains how the Scientific Revolution led to the growth of Democratic ideas? Kate has 12 1/2 pounds of chocolate. She gives each of her 5 friends x pounds each and has 3 1/3 pounds left over. How much did she give each of her friends? NEED ANSWER NOW!!!!!Read the excerpt from Samuel Johnsons preface to A Dictionary of the English Language. The solution of all difficulties, and the supply of all defects, must be sought in the examples, subjoined to the various senses of each word, and ranged according to the time of their authors. When first I collected these authorities, I was desirous that every quotation should be useful to some other end than the illustration of a word; I therefore extracted from philosophers principles of science; from historians remarkable facts; from chemists complete processes; from divines striking exhortations; and from poets beautiful descriptions. The excerpt suggests that Johnsons work is significant because it reflects considerable literary research.includes colorful drawings and illustrations. is used by authorities in many fields of study. explains many scientific principles. Which structures are at the end of the smallest tubes in the lungs? 1.cilia 2.cavities 3.alveoli 4.blood cells Someone writes:Dear Abbey,I am growing more and more concerned about the environment. What tips would you have for me to help me live a more environment friendly lifestyle?How would you respond?