All categories

2 years ago

Henry correctly subtracted 3p+5/3p from p+3/p-2 and got 12p^2+9p-3p^2+p+10/(p-2)(3p). What is the simplified difference?

Mathematics

1 answer:

IrinaK [193]2 years ago

8 0

Answer:

Step-by-step explanation:

Henry subtracted ( 3p+5)/3p from ( $(\frac{p+3}{p-2})$ and got

$\frac{(12p^{2}+9p-3p^{2}+p+10}{(p-2)(3p)}$

We have simplify the difference

= $\frac{(12p^{2}+9p-3p^{2}+p+10}{(p-2)(3p)}$ = $\frac{(12p^{2}-3p^{2})+(9p+p)+10}{(p-2)(3p)}$

= $\frac{9p^{2}+10p+10}{(p-2)(3p)}$

You might be interested in

MO, MN, and ON are the midsegments of △JKL. What is the perimeter of △JKL? 6 9.5 11.5 19

ipn [44]

Answer is 19 just got it right

6 0

2 years ago

Read 2 more answers

Carmen draws this area model to help her divide 1,800 by 9. She says the quotient is 20

lisov135 [29]

Answer: the answer is 200

Step-by-step explanation:

6 0

2 years ago

Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of

skelet666 [1.2K]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

$p, q, r, s$

The average will be Sum of all numbers divided by count of numbers.

$\dfrac{p+ q+ r+ s}4$

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

$\dfrac{p+ q+ r+ s}4$

Now, let us add all of them:

$\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4$

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

8 0

2 years ago

Jada is making lasagna and pizzas for a party recipe calls for 1 1/4 cups and she uses 1/2 she doubled her recipe and made 5 piz

grigory [225]

This question is not correctly written

Complete Question

Jada is making lasagna and pizzas for a large party. Her lasagna recipe calls for 1 1/4 cups of tomato paste, and her pizza recipe uses 1/2 cup of tomato paste per pizza. She will double her lasagna recipe and make 5 pizzas. Write and evaluate an expression for how many 3/4- cup cans of tomato paste she will need in all.

Answer:

The evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Step-by-step explanation:

Step 1

From the question, we are told that:

1 single lasgna recipe uses: 1 1/4 cups of tomato paste = 5/4 cups

If she doubles her recipe, the number of cups of tomato paste =

2 × 5/4 cups of tomato paste

= 10/ 4 = 5/2 cups of tomato pastes

Step 2

From the question, we are told that:

1 Pizza recipe = 1/2 cup of tomato pastes

5 Pizza =

5 × 1/2 cup of tomato paste

= 5/2 cups of tomato paste

Steps 3

The total number of cups of tomato paste Jada will use in making double lasagna and 5 pizzas is calculated as

= 5/2 + 5/2

= (5 + 5)/ 2

= 10/2

= 5 cups.

Step 4

We are asked to evaluate how many 3/4 -cup cans of tomato she need in all.

This means we should find how many 3/4 - cup cans can be found in the total number of cups of tomato paste that Jada used.

Total number of cups that Jada used = 5 cups of tomato paste

The number of 3/4-cup cans in 5 cups is calculated as:

5 ÷ (3/4)

= 5 × 4/3

= 20/3

Therefore, the evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

8 0

2 years ago

Cheese sticks that were previously priced at "10 for $1" are now "2 for $1". Find each percent change.

AysviL [449]

Answer:

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

Step-by-step explanation:

Given : Cheese sticks that were previously priced at "10 for $1" are now "2 for $1".

To find : The percent decrease in the number of cheese sticks you can buy for $1 ?

Solution :

The formula used to find percent decrease is given by,

$\%\text{ change}=\frac{\text{Amount of change}}{\text{Original amount }}\times 100$

The price change from 10 to 2,

$\%\text{ change}=\frac{10-2}{10}\times 100$

$\%\text{ change}=\frac{8}{10}\times 100$

$\%\text{ change}=80\%$

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

7 0

2 years ago