MATHEMATICS MIDDLE SCHOOL

If a+b=12 and a−b = 8, what is the value of a^2+b^2?

Answers

Answer 1
Answer:

Step-by-step explanation:

A2 + b2 = (a +b) (a-b)

Putting values

a2 +. b2 = (12)(8)

a2 + b2 = 96
Answer 2
Answer: a = 10, b = 2

a^2+b^2 = 100+4 = 104


Work:
Split 12 into two even halves: 6 and 6
Increase one side by 4 and decrease the other side by 4, to make them 8 apart.
Now we have 10 and 2.

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Anthony is making his famous pizza pies to sell at the Munhall Community Festival. He uses 2212 cups of mozzarella cheese for every 5 cups of tomato sauce in order to make a dozen pizzas. Answer the following questions below and show your work. To help sell more pizzas at the festival, Anthony set the price for one pie at 35% less than what it would cost at his pizza shop. At the festival, he charges $8.50. Using this information, what is the price of one pizza at Tony’s Pizza Palace?

Answers

Answer:24

Step-by-step explanation:35% of 24 is 8.40 so round that you will get your answer

It is estimated that each guest at a party will eat 3/4 pounds of chocolates. How many guest can be served with 9 pounds of chocolate?

Answers

The number of guests that can be served 9 pounds of chocolate will be 12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

It is estimated that each guest at a party will eat 3/4 pounds of chocolates.

Then the number of guests that can be served 9 pounds of chocolate will be

⇒ 9 / (3/4)

⇒ 9 x 4 / 3

⇒ 3 x 4

⇒ 12

The number of guests that can be served 9 pounds of chocolate will be 12.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2
12.
You must do 9 divided by 3/4
3/4 = .75
9 divided by .75 is 12

What expression is equal to a x a x a x b x b

Answers

The expression that is equal to a x a x a x b x b is a³ x b² 

Zoey made 5 and 1/2 cups of trail mix for a camping trip. She wants to divide the trial mix into 3/4 cup servings. Ten people are going on the camping trip. Can Zoey make enough 3/4 cup servings so each person on the trip has one serving?

Answers

No she can't.  We could divide 5 1/2 cups by 3/4 cups but there is an easier way.

Let's change 3/4 to .75 and multiply by 10 since we need 10 servings.

.75 x 10 = 7.5  so she would need 7.5 cups or 7 1/2 cups
Since she only has 5  1/2 cups,  she does not have enough.

there are four Defenders on a soccer team that this represents 20% of the players on the team which equation can be used to find the total players on the team​ plzz help me like this is hard

Answers

4=(total players on the team) x 0.2
(total players on the team) = 4/0.2
(total players on the team) = 20
****
20% is the same as 0.2.
2 is 20% of 10.
to find 10, divide 2 by 0.2
2/0.2=10
4 is 20% of something
to find 'something', divide 4 by 0.2
4/0.2=20

What is 6.2 x 105 in scientific notation?

Answers

First we have to just multiply it.
6.2*105=651
Scientific notation require that first part is between 0 and 9 and second its 10 to the power of something. Lets focus on the first part at the begging. We can divide 651 by 100 to get 6.51, so its between 0 and 9 ===> ok. Now we have note down dividing by 100 by 10 to the power of something. As we know that when we put minus to the exponent we obtain inverse number. Finally we can write 100=10^2
Now we put minus in front of 2 to get dividing by 100.
Final form is 6.2*105=651=6.51*10^(-2)
Hope that helps 
6.2 \cdot105=651=6.51\cdot10^2
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