MATHEMATICS MIDDLE SCHOOL

Mr fairfax ordered 3 large pizzas for a class party. Group A ate 6/6 of the first pizza, and Group B ate 8/6 of the remaining pizza. During the party, the class discussed which group ate more pizza. Did group A or B eat more pizza? Later, group C ate all remaining slices of pizza. What fraction of the pizza did group C eat?

Answers

Answer 1
Answer:

Group B eats more pizza, and 2/3 of the pizza group C eats.

What are Fractions?

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Given the total number of pizzas  = 3

pizza eaten by group A = 6/6 = 1

pizza was eaten by group B = 8/6 = 1.334

pizza was eaten by group C = 3 - 6/6 - 8/6

pizza was eaten by group C = (18 - 14)/6 = 4/6 = 2/3

since the value of group B is more than A and C so group B eats more pizza.

Hence group C eats 2/3 of the pizza, and group B eats more pizza.

Learn more about fractions;

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Answer 2
Answer: group b ate more pizza because group a ate 1 whole pizza and b ate 1whole 2/6 and to find out how much c ate u do 1 whole plus 1 whole 2/6 which is 2 whole 2/6 and 4/6 is left. Group a ate: 1 whole pizza Group b ate: 1wholw 2/6. Group c ate: 4/6 and b ate the most

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At a restaurant you order a lunch that cost $6.50 and a beverage that cost $1.50. You leave a 20% tip, how much money did you leave as the tip

Answers

$1.6, 20% of $8 ($6.5+$1.5) is $1.6

Answer:

.30

Step-by-step explanation:

6.50+1.50+20%=8.30

6.50+1.50=8

8+.3=8.30

so 6.50+1.50+.30=8.30

you left .30 cent as a tip to the waiter.

What is the value of x? 6(-3-x)-2x=14

Answers


Let's solve your equation step-by-step:

It's usually easier to rewrite the equation, so let's do that

6(-3-x)-2x = 14

Step 1: Simplify both sides of the equation.

6(-3-x)-2x = 14

Simplify: (Distribute)

(6)(-3)+(6)(-x)+-2x=14

-18+-6x-2x = 14

(-6x + -2x) + (-18) = 14

(Combine like terms)

-8x+-18 = 14

-8x - 18 = 14

Step 2: Add 18 to both sides

-1x-18+18 = 14+18

-8x = 32

Step 3: Divide both sides by -8

-8x/8 = 32/-8

x = -4

Final answer -

x = -4

You can check your work by replacing your x by -4 so your equation will equal 14. Remember, use PEMDAS or your answer will not come out correctly.

  ↑   ↑   ↑ Hope this helps! :D
The equation given in the question has one unknown variable in the form of "x" and only one equation is required to find the value of the unknown variable. So it is absolutely possible to find the exact value of "x".
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
-18 - 8x = 14
Multiplying both sides of the equation by -1 we get
8x + 18 = - 14
Dividing both sides by 2 we get
4x + 9 = - 7
4x = - 7 - 9
4x = - 16
x = - 16/4
  = - 4
So the value of "x" comes out to be equal to - 4. I hope the procedure is clear enough for you to understand.

a boy is 24 years younger than his father. In 2 years time the sun of their ages will be 40. Find the present ages of father and son

Answers

ooh fun

x=boy
y=father
x+24=y
(x+2)+(y+2)=40
subsitute x+24=y into equation
x+2+x+24+2=40
add like terms
2x+28=40
subtract 28 from both sides
2x=40
divide both sides by 2
x=son now=20
father=son+24
father=20+24=44

father=44
son=20
Let the age of the boy be x.
Therefore the age of the father = x + 24.  (The boy is 24 years younger implies that 
                                                           his father is older by 24 years).

In 2 years time:
The boy will be = (x +2).
The father will be (x +24 +2) = (x + 26).

Sum of their ages = 40.
Therefore            (x+2) + (x + 26) = 40.
                           x + x + 2 + 26 = 40
                                      2x + 28 = 40
                                              2x = 40 -28
                                               2x = 12.
                                                 x = 12/2 = 6.    x =6.
Present ages =  x , x +24.  =  6,  (6 +24) =    6, 30.
Boy = 6 years old.
Father = 30 years old.
Cheers.

A radio telescope array is in an unpopulated desert region. The array covers a rectangular area that is one fourth square kilometer. The array is one twelfth kilometer wide. How long is the​ array? The array is [blank] kilometers long.

Answers

Answer:

  3 km

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can solve for the length.

  1/4 = L·(1/12)

Multiplying by 12, we see that ...

  3 = L

The array is 3 kilometers long.

A classroom's length is 3m less than two times its width. The classroom has a length of 9m. Solve an equation to determine the width of the classroom.

Answers

The equation would be 2w-3=9. Do the inverse operation for '3' on both sides of the equation. Then do the inverse operation on both sides of the equation for '2w'.

Tom is trying to write 3/47 as a decimal.He used long division and divided until he got the number 0.0638297872,at which point he stopped. Since the decimal doesn't seem to terminate or repeat, he concluded that 3/47 is not rational. Do you agree of disagree? Why?

Answers

Disagree. A rational number is any number that can be written as a fraction of two integers. Tom wrote 3/47, and both 3 and 47 are integers. Just because the decimal has not yet terminated doesn’t mean that the number he is looking at is irrational.
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