Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang

gave Michael some slices of pizza. Miss Chang gave Amy twice as many slices of

pizza as Michael. Miss Chang gave Mr. Au three times the sum of what she gave

to Michael and Amy. Miss Chang gave 60 slices of pizza to Michael, Amy and Mr.

Au in total. How many slices of pizza Miss Chang give to each person?

Answers

Answer 1
Michael: x
Amy: 2x
Mr. Au: 3(2x+x)
x+2x+3(2x+x)=60
x+2x+3(3x)=60
x+2x+9x=60
12x=60
x=5
Michael: 5 slices
Amy: 2(x)
2(5)=10 slices
Mr. Au: 3(2x+x)
3(10+5)=45 slices

Related Questions

store pays $50 for a pair of shoes. The markup is 25%.

a. What is the selling price for the shoes?

The selling price is $_
.
Question 2
b. What is the total cost for a person to buy the shoes including a 6% sales tax?
The total cost is $_
.

Answers

Answer:

75%

Step-by-step explanation:

Answer:

The selling price is $62.50 And b is is 75%

Step-by-step explanation:

Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is a? 0. 0385 0. 0400 0. 0769 0. 800.

Answers

Answer:

Option A :- 0. 0385

Step-by-step explanation:

Since a is the first letter in the alphabet

and in total there are 26 alphabet

We divide 1 by 26

⇢ 1 ÷ 26

⇢ 0.038461538461538

⇢ 0. 0385

Probability = 0. 0385

~Done~

Answer:

[tex]\huge\boxed{\bf\:0. 0385}[/tex]

Step-by-step explanation:

Told number of alphabets in the English language

= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}

= 26 alphabets.

Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.

Probability that the letter chosen at random is 'A'

= Alphabet 'A' / Total number of letters

= 1/26

= 0.0385

[tex]\rule{150pt}{2pt}[/tex]

Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.

Answers

We can try for loops along with conditional statements to get the indices of the needed numbers.

What is zero-based indexing?

Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).

For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:

for idx_1 in range(len(arr)//2 + 2):

   num_1 = arr[idx_1]

   found = 0

   for idx_2 in range(idx_1 + 1, len(arr)):

       num_2 = arr[idx_2]

       if target == num_1 + num_2:

               print(idx_1, idx_2)

               found = 1

               break

   if found: break

Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.

This python code gives the indices of a pair of two numbers from the array given which adds up to the target.

Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.

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If number of electricity power failures occur according to a Poisson distribution with an average of 4 failures per 5 months. 12. What is the probability that there will be at least one failure during the coming month

Answers

Answer:

123

Step-by-step explanation:

Select all ratios that are in their simplest form.A 25:21B 4:22C 6:28D 5:25E 30:27

Answers

Only A
Explanation because that’s the answer

PLEASE HELP 75 POINTS

Answers

Answer:

Top of one step: 2.5 ft

Front of one step: 1.25 ft

One side of stairs: 5 ft

Total surface area: 25 ft

pls help me and if you dont know the answer dont answer this ​

Answers

Answer:

A no. is correct

Step-by-step explanation:

Hope it will help you..

Find the lateral surface area of the cylinder. Use 3.14 for π, and round your answer to the nearest hundredth. Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
A) 376.99 cm2

B) 362.16 cm2

C) 367.59 cm2

D) 354.18 cm2
I have a 10 question quiz that I'm really struggling on because i don't know how to work out problems like these, so if someone could please help me that would be great.

Answers

The area of the cylinder is the amount of space on it.

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

How to determine the lateral surface area?

The lateral surface area of a cylinder is:

L = 2πrh

The question is incomplete. Assume the following parameters

Radius, r = 10

Height, h = 5.

Then we have:

L = 2 * 3.14 * 10 * 5

Evaluate the product

L = 314

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

Read more about cylinders at:

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can someone help me out with this question
bh step by step procedure? ​

Answers

Answer:

60°

Step-by-step explanation:

the angle Θ between vectors a and b is

cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°

Answer:

cos θ= 60°

Step-by-step explanation:

cos θ= a . b/।a। ।b।

=15/2/3×5

=15/30

=1/2

cos θ=cos60°

θ=60

I do not know this answer Write an expression for the operation described below.
add a to 4

Answers

Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression

Step-by-step explanation:hope this can help you :)

you flip a coin and get heads 11 times, so the chance of getting heads in 11/30. Is this an example of theoretical or expiremntal probabilty

Answers

Experimental probability

a system of equations is shown. 4x-y=5 y=-3 what is the value of x in the solution to this system

Answers

Answer:

x = 1 / 2 ( or ) 0.5

Step-by-step explanation:

4x - y = 5

Substitute the value of y = - 3 in the given equation,

4x - ( - 3 ) = 5

4x + 3 = 5

4x = 5 - 3

4x = 2

x = 2 / 4

x = 1 / 2 ( in terms of fraction )

                  ( or )

x = 0.5 ( in terms of decimal )

Note : -

- ( - 3 ) can be written as - 1 x ( - 3 ).

When a negative number is multiplied with another negative number, the result will be positive number.

Hence,

- ( - 3 ) = + 3

At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a
sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.08
O B. 0.32
• C. 0.17
D. 0.25

Answers

Answer:

B. 0.32

I guessed and it was right

The probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

The correct answer is B. 0.32.

To find the probability that a randomly selected student plays a sport, given that the student is a senior, we can use the formula for conditional probability:

P(plays a sport | senior) = P(plays a sport and senior) / P(senior)

Given that P(plays a sport and senior) = 0.08

and P(senior) = 0.25,

we can substitute these values into the formula:

P(plays a sport | senior) = 0.08 / 0.25

P(plays a sport | senior) = 0.32

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

Learn more about Probability here:

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-2x+2y=-2
3x+2y=8
solve the system of equations

Answers

Answer:

The answer to the first equation is x=y+1

The answer to the second equation is x= -2/3 y+8/3

Step-by-step explanation:

Equation Solver

What do you want to calculate?

Solve for Variable

Graph

Solve for:

x

Let's solve for x.

−2x+2y=−2

Step 1: Add -2y to both sides.

−2x+2y+−2y=−2+−2y

−2x=−2y−2

Step 2: Divide both sides by -2.

−2x

−2

=

−2y−2

−2

x=y+1

Answer:

x=y+1

2. Let's solve for x.

3x+2y=8

Step 1: Add -2y to both sides.

3x+2y+−2y=8+−2y

3x=−2y+8

Step 2: Divide both sides by 3.

3x/3=-2y+8/3

x=-2/3 y+8/3

Answer:

x= -2/3 y+8/3

[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

By Substitution method

⇒Eq.1

-2x+2y=-2y = -2 +2x

Soo value of y => y = 2x-2

↪ Substituting y= 2x-2 in ( 3x+2y = 8)

3x+2(2x-2)=83x+4x-4=8 (solving like terms)6x=12[tex]x = \cancel \frac{12}{6} [/tex]x = 2

↪ Substituting x = 2 in eq 1 to get y

-2x+2y=-2-2(2)+2y=-2-4+2y=-2(solving like terms)2y= -2+42y= 2[tex]y = \cancel\frac{2}{2} [/tex]y=1

↪ hence, (2,1) is the solution ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Daniel earns $5.00 an hour babysitting. He babysat 6 hours Friday and more hours Saturday, and he earned
$55.00 for the weekend. How many hours did he babysit on Saturday?
A. 5
B. 11
C. 9
D. 6

Answers

Answer:

5

Step-by-step explanation:

First divide 55 by 5 to find the number of hours he sat in total. Then subtract the 6 he sat on friday.

The answer will be 11

Which of the numbers below are common multiples of 4 and
6? Select all that apply.
A) 8
B) 12
C) 18
D) 24
E) 48

Answers

Answer:

B, D, E

Step-by-step explanation:

Can someone help me

Answers

Answer:

A) 24

Step-by-step explanation:

½(6)(6+2) = ½ (48) = 24

om was in a contest at the library to read as many book as wiree months. At the end of the content he camerkets for the he read. The table below shows on tumber of cok read canh *** BOOKS SAM READ Month January February March Number of Books 15 13 16 Mam was able to buy a prize for every 5 tickets he had earned. Sam bought as many prizes as he could with his tickets? How many prizes was sam able to buy 2 Show your work and explain your answer.​

Answers

The number of prizes that Sam was able to buy based in the division illustrated is 17 prizes.

How to calculate the prize?

The total number of books that was read will be:

= 15 + 13 + 16

= 44 books

Since he earned 2 tickets for each bok read, the number of tickets gotten will be:

= 2 × 44

= 88

Finally, Sam was able to buy a prize for every 5 tickets he earned. Therefore, the number of prizes will be:

= 88/5

= 17 tickets

Learn more about division on:

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How to get rid of a square root in the denominator?.

Answers

Step-by-step explanation:

you multiply both the top and bottom by the root if it was alone.

let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.

the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is

(sqrt(2) -1)

make sure to ask if you need any further guidance :)

Find the area of each face of the triangular prism and the total surface area.
20 cm
10 cm
6 cm
20 cm
8 cm

Answers

Answer:

Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

Total: 528 cm²

Step-by-step explanation:

Hope this helps!

A bus travels 25 yards in 1 second. How many miles will it travel in 2 hours?

Answers

Answer:

102 miles

Step-by-step explanation:

In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])

In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]

Converting yards to miles is:  [tex]x (yards) / 1760[/tex]

[tex]180000/1760 = 102.2727272...[/tex]

∴ The bus will travel 102 miles in 2 hours.

Help please


Number 4

Answers

Answer:

you need to enlarge the picture so I can see it

Step-by-step explanation:

Then I'll edit my answer and do the problem.

What is the measure of z?

Answers

Brainly is a Polish education technology company based in Kraków, Poland, with headquarters in New York City. It provides a peer-to-peer learning platform for students, parents, and teachers to ask and answer homework questions. The platform has elements of gamification in the form of points and ranks

the diagram shows a right angled triangle 15cm 37 degrees

Answers

Answer:

h = 11.3 cm

use tane rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:

x = 37°opposite = hadjacent = 15 cm

=========

[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]

[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]

[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]

solve for x x(x+3)=2(x+15)

Answers

Answer:

x = -27

Step-by-step explanation:

x(x+3)=2(x+15)

x+3=2x+30

x+3-2x+30

x-2x=30-3

-x=30-3

-x=27

x = -27

Factor. Step by step.

Answers

Answer:

(3x-2)^2

Step-by-step explanation:

3^2x^2-2*3x*2+3^2

(3x)^2 -2*3x*2+2^2

And youll get (3x-2)^2

Needing help badlyyyyyy

Answers

Answer:

D, D, B

Step-by-step explanation:

multiply 744 by 1,000 to get your meters.

7 times the cost of each lawn, X will equal 210.

25 minus 12 is 13

this holds true for the one below also

a cube numbered 1-6 is rolled 30 times and lands on an even number 18 times how does the frequency based on the probability of the number cube landing on an even number

Answers

A cube has 6 sides labeled 1-6. There are 3 even numbers and 3 odd numbers therefore making the probability of both 50%. The probability of the cube landing on an even is 50% chance.


The bus will leave in 38 minutes. what time will it leave ?

Answers

Answer:

4:08

Step-by-step explanation:

The current time is 3:30, 38 minutes later would be 4:08

4:08

Its now 3:30 in 30 minutes will be 4:00 plus 8 minutes.

triangle with side lengths 4 feet, 5 feet, and 8 feet

Answers

Answer:

Yed, it is possible as

Step-by-step explanation:

4 + 5 = 9

So, sum of two sides of a triangle is always greater than the third side(largest one)

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