a circular marble table top has a diameter of 42 in if the table top cost $280 what is the price per square inch

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

For this case we have that by definition, the area of a circle is given by:

$A = \pi * r ^ 2$

Where:

r: It is the radius of the circle

We have as data that:

$r = \frac {42} {2} = 21 \ in$

We found the table area:

$A = \pi * (21) ^ 2\\A = \pi * 441\\A = 1384.74 \ in ^ 2$

Now, we find the cost per square inch:

$\frac {280} {1384.74} = 0.22$

Thus, the cost of the table is $0.20 per square inch.

ANswer:

The cost of the table is $0.20 per square inch.

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In a factory, 3.25% of the jars of peanut butter produced contains less peanut butter than is advertised on the label. The facto

marshall27 [118]

Answer:

936 jars of peanut butter contain less peanut butter than usual.

Step-by-step explanation:

1. First, we need to find how many jars of peanut butter that contain less peanut butter than advertised are produced every hour.

The factory produces 1200 jars of peanut butter every hour

3.25% of those jars have less peanut butter than advertised

So: multiply $(1200*.0325)$ (the decimal form of the percent) to find the amount of peanut butter jars that contain less peanut butter than advertised.

$(1200*.0325) = 39$

So the factory produces 39 jars of peanut butter that contain less peanut butter than advertised.

2. Second, we need to find how many jars of peanut butter that contain less peanut butter than advertised in three 8 hour work days.

Lets add these work days together to find the total amount of hours: $(8 + 8 + 8) = 24$

So: three 8 hour work days totals to 24 hours

Since the factory produces 39 jars of peanut butter that contain less peanut butter than advertised per hour. Multiply $(24 * 39)$ to find the total amount of jars produced in three 8 hour work days.

$(24 *39) = 936$

A total of 936 peanut butter jars are produced in three 8 hour work days that contain less peanut butter than advertised.

3. If you want to double check your work do the following.

Since the factory produces 1200 jars an hour and 24 hours total three 8 hour work days. Multiply $(1200*24) = 28800$

So there is a total of 28800 jars produced in three 8 hour work days.

Then you can multiply 28800 by 3.25% of jars that contain less peanut butter to find the total amount of peanut butter jars that contain less peanut butter in three 8 hour work days.

$(28800 * .0325) = 936$