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ale4655 [162]
3 years ago
5

Find the volume of the sphere. Either enter an exact answer in terms of it or use 3.14 for T.

Mathematics
2 answers:
Zinaida [17]3 years ago
4 0
The formula is 4/3πr^3

4/3 (3.14)(3)^3

answer: 113.09
Lerok [7]3 years ago
3 0
The answer is 113.09.
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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

Adding both equations:

7e=0.21  

e=0.03

Multiplying the first one by -4 and the second by 3

\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

Adding both equations:

-7p=-0.49

p=0.07  

Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0
3 years ago
Using the rules of Order of Operations, determine which operation would come first in the following
Oduvanchick [21]

Answer:

Add 6 to both sides

Step-by-step explanation:

order of operations acronym- PEMDAS

P= parenthesis

E= exponents

M=multiply

D= Divide

A= Add

S= subtract

No parenthesis, exponents, multiply, or divide, so skip straight to add or subtract

Add comes first so add 6 to both sides

Add 6 to both sides.

7 0
2 years ago
Ross has to fill up a 300 gallon tank. There are already 75
stepan [7]

Answer: He needs 9 hours  to finish the task.

Step-by-step explanation:

Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).

300-75 = 225

He needs to fill 225 gallons.

Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :

25 g / 1h

For 225 gallons:

225 g / x hours  

Solving for x

25/1 = 225/x

x= 225/ (25/1)

x = 9 hours

5 0
3 years ago
there are 4 performers who will present their comedy acts this weekend at a comedy club. how many different ways are there to sc
DiKsa [7]
There should be 6 per number
ex.
1234
1243
1342
1324
1432
1423
8 0
2 years ago
Find the absolute value.<br>|-89= 0<br><br><br><br><br><br><br>please help thank you​
lukranit [14]

the answer is 89

Step-by-step explanation:

it does not matter if the number is negative the absolute value is the number inside the lines

6 0
3 years ago
Read 2 more answers
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