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andrey2020 [161]
4 years ago
9

A seamstress needs to cut 15 inch pieces of ribbon from a roll of ribbon that is 9 feet in length. What is the greatest number o

f 15 inch pieces the seamstress can cut from 5 of these rolls of ribbon? Explain.
Mathematics
1 answer:
Aneli [31]4 years ago
4 0
<span>36 pieces of ribbon is what you can get from the 5 rolls. Each roll is 9 feet and 1 foot= 12 inches so we multiply 9 times 12 to get the total number of inches available per roll (108 inches) then times that by 5 the total number of rolls. This brought the total to 540 inches available for the project and divide that by 15 inches and end at 36 pieces.</span>
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nika2105 [10]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
Which of the following is a root of the polynomial shown below?
Mademuasel [1]

Answer:

We conclude that option A is true as x = 1 is the root of the polynomial.

Step-by-step explanation:

Given the polynomial

f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2

Let us determine the root of the polynomial shown below.

\:0=\:x^2\:+\:2x^2\:-\:x-2

0=3x^2-x-2

switch sides

3x^2-x-2=0

as

3x^2-x-2=\left(3x+2\right)\left(x-1\right)

so the equation becomes

\left(3x+2\right)\left(x-1\right)=0

Using the zero factor principle

3x+2=0\quad \mathrm{or}\quad \:x-1=0

solving

3x+2=0

3x=-2

\frac{3x}{3}=\frac{-2}{3}

x=-\frac{2}{3}

and

x-1=0

x=1

The possible roots of the polynomial will be:

x=-\frac{2}{3},\:x=1

Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.

3 0
3 years ago
The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of
viva [34]

Answer:

<em>500πx³y³z³ </em>

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

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Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>

8 0
3 years ago
The formula for the area of a triangle is, 1 А A= bh Calculate the height of a triangle when A= 24 m2 and b = 8 m.​
Sphinxa [80]

I hope this helps you

A=1/2.b.h

given Area is 24 and base is 8

24=1/2.8.h

24=4.h (divide 4 both of sides)

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3 0
3 years ago
I got so many points, so i wanna give some away!!
Vilka [71]

Answer:

5

Step-by-step explanation:

8-3=5

8 0
3 years ago
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