Estimate each quotient 312.4 ÷ 2.98

Mathematics

1 answer:

Lostsunrise [7]3 years ago

4 0

312 divided by 3=104

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A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order

Taya2010 [7]

A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

b) $306.25

The given information is:

The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

f(x) = x*$2.00 if 0 ≤ x ≤ 100

f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

Above you can see the piecewise function, when you want to evaluate it, the first thing you need to do is to find at which interval the input belongs.

b) If you order 175 cupcakes you have x = 175.

This belongs to the second interval ( 100 < x ≤ 250) then we will use the second part of the function:

f(175) = 175*$1.75 = $306.25

If you want to learn more, you can read:

brainly.com/question/12561612

8 0

3 years ago

Laura has a rectangular piece of wood that is 7in by 4in she wants to cover it with strips of ribbon that are 1/4 inch wide what

inn [45]

Answer: 112 inches.

Step-by-step explanation:

You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.

Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

$n=\frac{4in}{\frac{1}{4}in}\\\\n=16$

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

$lenght=(16)(7in)\\lenght=112in$