A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots.B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.

C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.

D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.

Answers

Answer 1
Answer:

Answer:

D. The expression is 3p+10. It takes 40 minutes to shape and fire 10 pots.

Step-by-step explanation:

Let the number of pots in a batch = p

Now, one pot takes 3 minutes to get in a shape.

Then, 'p' pots will take 3p minutes to get in a shape.

Also, it takes 10 minutes to fire one batch of pots.

Thus, the expression for the time taken to form one batch of pots = 3p+10

So, when number of pots = 10 i.e. p= 10.

Time taken to fire the pots = 3* 10+10 = 30+10 = 40

That is, 'It takes 40 minutes to shape and fire 10 pots'.

Thus, option D is correct.

Answer 2
Answer: 3p to shape and 10 minutes to fire
= 3p + 10
3x10 + 10 = 40 minutes for a batch of 10 pots
therefore D is the correct answer

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Explain how you can identify fractions that are equal to one

Answers

If the numerator and denominator is the same then it will equal 1. For ex: (2)/(2) equal 1

What is the value of 2+3^2-|-4 |

Answers

2+3^2-|-4|= 2+9-4 = 7

Answer:

7

Step-by-step explanation:

A kayaker paddles 2 km upstream in the same time that it takes to paddle 3 km downstream. The average speed of the current is 1 km/h. What is the average speed of the kayak in still water?I need the work as well pleasee!!

Answers

Let x represent speed of kayak in the still water.

We have been given that a kayaker paddles 2 km upstream in the same time that it takes to paddle 3 km downstream. The average speed of the current is 1 km/h.  

Speed of kayak upstream would be speed of kayak in still water minus speed of the current that is x-1.

Speed of kayak downstream would be speed of kayak in still water plus speed of the current that is x+1.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

Time taken to travel 2 km upstream would be (2)/(x-1).

Time taken to travel 3 km upstream would be (3)/(x+1).

Since both times are equal, so we can equate both expressions as:

(3)/(x+1)=(2)/(x-1)

Cross multiply:

3(x-1)=2(x+1)

3x-3=2x+2

3x-2x-3=2x-2x+2

x-3=2

x-3+3=2+3

x=5

Therefore, the average speed of Kayak in still water is 5 km per hour.

A bag contains 24 blue marbles, 32 yellow marbles, 43 white marbles, and 21 red marbles. If a marble is drawn from the bag and replaced 90 times, about how many times would a yellow marble be drawn? A. 15 B.24 C.30 D.60

Answers

The answer would be B
Steps 
1. Add all the numbers 43+24+32+21

2. You should get 120

3. 120 will be your denominator

4. Determine how many yellow marbles there are, there are 32

5. Simplify 32/120 you should get 4/15, I simplified by 2 to get the answer, I simplified until I could simplify no more

6. Now change 4/15 to a decimal

7. To do step 6 you must divide 4 by 15

8. you should get0.26666666666

9. Now multiply 90*0.26666666666

10. You should get 23.9

11. round 23.9 by tenth place

12. You should get 24 thats how the answer is B

Hope I Helped=)

Order these numbers from least to greatest: 3.4 ,7 ,-3.5 ,-3

Answers

Answer: -3.5, -3, 3.4, 7

Step-by-step explanation: If you put it on a number line, this would be the order these integers go in!

-3.5,-3,3.4,7 is it least to greatest

Al runs 8 miles per hour. Bob runs 1 mile in 8 minutes. Carl runs 2 miles in 15 minutes. Dan runs 1/2 of a mile in 3.5 minutes. Who runs the fastest?

Answers

Answer:Dan

Step-by-step explanation: