MATHEMATICS
MIDDLE SCHOOL

Answer: 12p + 7 > 139

subtract 7 to both sides

12p + 7 - 7 > 139 - 7

simplify

12p > 132

divide both sides by 12

12p/12 > 132/12

simplify

p > 11

answer

p > 11

subtract 7 to both sides

12p + 7 - 7 > 139 - 7

simplify

12p > 132

divide both sides by 12

12p/12 > 132/12

simplify

p > 11

answer

p > 11

MIDDLE SCHOOL

A cylinder has a radius of 30ft and a height of 19ft. what is the exact surface area of the cylinder

Answer:

approx 9236.28ft²

MIDDLE SCHOOL

Marcos ahorro $3270 en monedas de $10,$5 y $2.Si el numero de monedas de $10 excede en 20 a las de $5 y en 15 a las de $2. Cuantas monedas de 5 tiene Marcos?

Marcos saved $ 3270 in $ 10, $ 5 and $ 2 coins. If the number of $ 10 coins exceeds $ 5 in $ 5 and $ 2 in 15.

How many 5 coins does Marcos have?

Answer:

The number of $5 coins is 180

Step-by-step explanation:

Let

x ---> the number of $10 coins

y ---> the number of $5 coins

z ---> the number of $2 coins

we know that

-----> equation A

----> ----> equation B

----> ----> equation C

Solve the system by substitution

Substitute equation B and equation C in equation A

solve for x

Find the value of y

therefore

The number of $5 coins is 180

MIDDLE SCHOOL

What is the value of -6a-3b2 for a=-2 and b =4

Answer:

-36

Step-by-step explanation:

-6a-3b^2

Let a = -2 and b =4

-6 (-2) - 3 (4)^2

Powers first

-6 (-2) -3(16)

Then multiply

12 - 48

Then subtract

-36

The answer is -36 because it is

HIGH SCHOOL

Sumner sold equipment that it uses in its business for $30,200. Sumner bought the equipment a few years ago for $79,900 and has claimed $39,950 of depreciation expense. Assuming that this is Sumner's only disposition during the year, what is the amount and character of Sumner's gain or loss?

Answer:

Sumner had a loss of $9,750.

Step-by-step explanation:

Given:

Sumner sold equipment that it uses in its business for $30,200.

Sumner bought the equipment a few years ago for $79,900 and has claimed $39,950 of depreciation expense.

Now, to find the amount and character of Sumner's gain or loss.

Sumner sold equipment = $30,200.

Now:

Sumner bought equipment = $79,900.

And it had depreciation expenses = $39,950.

So, total cost of equipment after expenses = $79,900 -$39,950 = $39,950.

As we see the price of equipment purchased is more than the equipment sold.

Thus, it is a loss.

Now, to get the amount of loss we subtract the price of equipment purchased by the equipment sold:

Amount of loss = price at which equipment purchased - price of equipment sold.

Therefore, Sumner had a loss of $9,750.

HIGH SCHOOL

A full 355 ml can of coke is leaking at a rate of 5 ml per minute into an empty can. How long will it take for the two cans to have the same amount, a, of coke?

Thank you for posting your math question here. It take for the two cans to have the same amount, a, of coke for 35.5 minutes, assuming that the two cans has the same capacity. Below is the solution:

355 - 5x = 5x => x = 35.5 minutes

355 - 5x = 5x => x = 35.5 minutes

Answer:

35.5 minutes.

Step-by-step explanation:

Let x represent time in minutes.

We have been given that a full 355 ml can of coke is leaking at a rate of 5 ml per minute into an empty can. We are asked to find the time it will take for the two cans to have the same amount, a, of coke.

Since coke is leaking at a rate of 5 ml per minute, so in x minutes amount of coke leaked will be .

We can set an equation as:

represents amount of coke left in 1st cone and represents amount of coke filled in 2nd can.

Let us solve for x.

Therefore, it will take 35.5 minutes for the two cans to have the same amount, a, of coke.

HIGH SCHOOL

A student runs 100 m and 11 seconds what is the speed of the student?

9.09

just do 100/11 it will give you your basic unit

just do 100/11 it will give you your basic unit

9.091 fast idk how to put it

MIDDLE SCHOOL

If stanley bought a sandwich, that cost $3 with 50% off. what was the original price?

Answer:

The answer is 6$. Half of 6$ is 3$

Answer:

$6

Step-by-step explanation:

Let the original price be =Y,

50% of the original = Y×50/100 = 0.5Y

∴ 50% off =Y - 0.5Y = 3

0.5Y=3

divide both side by the co-efficient 0f Y i.e 0.5

⇒0.5Y/0.5=3/0.5

⇒Y= $6

MIDDLE SCHOOL

(UZ.04 LC)

What is the equation of a line that contains the points (2, -2) and (0, -2)?L

Answer:

y = - 2

Step-by-step explanation:

Find slope

(-2 - (-2))/(0-2)

(-2 + 2)//(-2)

0/2

0 ---> slope

plug in ---> y=mx+b

y=0x+b

-2=0*0+b

-2=b

equation: y=0x-2, y=-2

MIDDLE SCHOOL

Of the following numbers which one is prime 32,42,29,15

Answer:

The number 29 is the prime number.

Step-by-step explanation:

The given numbers are

32,42,29 and 15

Out of these four numbers only 29 is a prime numbers. All the other numbers are composite numbers.

To find factors of other numbers

Factors of 32

1,2,4,8 and 32

Factors of 42

1,2,3,6,7,14,21 and 42

Factors of 15

1,3,5 and 15

Therefore the correct answer is 29

Hey there!

- Basically, a prime number is a number (whole if we're specifying it) that is bigger than the number 1 but it cannot be created by multiplying by the other numbers
- Now, that we have a good understanding of the definition, the prime number of this particular question:

Good luck on your assignment and enjoy your day!

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