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3 years ago

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A florist needs several pieces of ribbon that are 5 and 1/2 inches long if she begins with a piece of ribbon that is 264 inches

long how many pieces will she be able to cut from it

1 answer:

dimaraw [331]3 years ago

8 0

Answer:

48

Step-by-step explanation:

(264 in)/(5.5 in/piece) = (264/5.5) pieces = 48 pieces

_____

Division is the usual shortcut for repeated subtraction. You could subtract 5.5 from 264 until you get to zero. You would have to do 48 subtractions. It is easier to divide 264 by 5.5 to see how many times it goes.

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Rewrite in simplest radical form, thx :)

Aleks [24]

Answer:

The answer is

$\sqrt[3]{ {x}^{2} }$

Step-by-step explanation:

$\frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } }$

Since they have the same base and are dividing we can use the rules of indices

That's

subtract the exponents

So we have

${x}^{ \frac{5}{6} - \frac{1}{6} }$

${x}^{ \frac{4}{6} }$

$= {x}^{ \frac{2}{3} }$

Rewriting it in radical form

We have the final answer as

$\sqrt[3]{ {x}^{2} }$

Hope this helps you

6 0

3 years ago

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

<em>Find the equation of the line in point slope form</em>

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

<em>Find the equation of the line in point slope form</em>

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

3 years ago

Im very confused about my precourse work for AP environmental science.

Nataliya [291]

The computation shows that the values are 64000 acres and 563 metric tons.

<h3>How to compute the values?</h3>

1. A 100 square mile area of national forest is how many acres?

1 mile square = 640 acres

100 square miles = 100 × 640 = 64000 acres.

2. Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons?

1 metric ton = 103kg

58000 kg = 58000/103 = 563 metric tons

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

8 0

2 years ago

Chaz is a 79.2 pound dog that was just adopted. Based on his foster home his daily energy intake is 1,840 kcal. Chaz’s new owner

zimovet [89]

Answer:

option (c)5 and $\frac{\textup{1}}{\textup{4}}$ cups

Step-by-step explanation:

Given:

Weight of Chaz = 79.2 pounds

Daily energy intake requirement = 1,840 kcal

Energy present in different brand food = 3,523 kcal/kg

Therefore,

the amount of food required = $\frac{\textup{Daily energy intake requirement}}{\textup{Energy present in different brand food}}$

or

the amount of food required = $\frac{\textup{1,840}}{\textup{3,523}}$

or

the amount of food required = 0.52228 kg

also,

1 kg = 1000 grams

therefore,

the amount of food required = 0.52228 × 1000 = 522.28 grams

now,

A cup of food weighs 100 grams

hence,

the number of cups required = $\frac{\textup{the amount of food required }}{\textup{Amount of food per cup}}$

or

the number of cups required = $\frac{\textup{522.28}}{\textup{100}}$

or

the number of cups required = 5.2228 ≈ 5 and $\frac{\textup{1}}{\textup{4}}$ cups

Hence, the correct answer is option (c)

4 0

3 years ago

1/8 to the -3rd power

rodikova [14]

(1/8)^-3

First apply the exponent to the numerator and denominator
(1^-3/8^-3)

Then flip the fraction to get rid of negative exponents
8^3/1^3

Then evaluate exponents
512/1

Divide the numerator by the denominator
512

Final answer: 512

5 0

3 years ago