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2 years ago

a potter uses 3/5 of a pound of clay to make a bowl. How many bowls could the potter make from 10 pounds

Mathematics

1 answer:

julsineya [31]2 years ago

7 0

Answer:

6 bowls

Step-by-step explanation:

10/1 • 3/5

That would equal 30/5 which simplified, is 6

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Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=

RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

6 0

2 years ago

4+2(8²×4²)+6+4+6+6+6+2+2

mash [69]

Answer: =2084

4+2(82)(42)+6+4+6+6+6+2+2

=4+264(42)+6+4+6+6+6+2+2

=4+2(64)(16)+6+4+6+6+6+2+2

=4+(2)(1024)+6+4+6+6+6+2+2

=4+2048+6+4+6+6+6+2+2

=2052+6+4+6+6+6+2+2

=2058+4+6+6+6+2+2

=2062+6+6+6+2+2

=2068+6+6+2+2

=2074+6+2+2

=2080+2+2

=2082+2

=2084

4 0

3 years ago

Read 2 more answers

Can someone help with this math word problem.

iragen [17]

Answer:

Step-by-step explanation:

Time taken to eat the pizza in seconds =28×60=1680 seconds

If it takes 20seconds to lift, bite and chew,

Then the total bites taken to finish the pizza =1680/20 =84 bites

If for each bite 9cm² disappeared, then area that disappeared for 84bites =84×9cm² = 756cm²

Total area of pizza =756cm²

If area =(πd²)/4,

Then d² =(4×A)/π

d²=4×756/3.14=963.06

d=√963.06 = 31.03cm

1 centimeter=0.394inches

31.03cm= 0.394×31.03=12.23 inches ≈ 12inches(to the nearest inch)

The diameter of the pizza is 12inches

7 0

3 years ago

Write a linear equation given a slope of 6 and a y-intercept of 1/2

Alex777 [14]

it literally gave you the equation lol

y= 6x + 1/2

7 0

3 years ago

Read 2 more answers

What is 2/5-3/10 equal to

Ilia_Sergeevich [38]

Answer:

1/10

Step-by-step explanation:

2/5=4/10

4/10-3/10=1/10

7 0

3 years ago