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konstantin123 [22]
3 years ago
10

A machine uses pieces of tape to seal packages. It cuts the tape into pieces exactly 2.375 inches long. If it uses 4 pieces of t

ape for a package, how many packages can it seal with a roll of tape 1,900 inches long?
Mathematics
1 answer:
sveta [45]3 years ago
8 0
A 1,900 inches roll of tape can seal 200 packages.

Given:
length of tape = 2.375 inches
no. of tapes used in 1 package = 4
total length of tape in a roll = 1900 inches

We need to find the total length of tape used in 1 package
2.375 inches * 4 pcs = 9.50 inches per package.

We need to find the number of packages that 1 roll of tape can seal.
1900 inches ÷ 9.50 inches/package = 200 packages.

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3 years ago
I don’t think i have the right answer so I’m checking it to make sure
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The polynomial p(x)=7^3-7x-6 has a known factor of (x+1) rewrite p(x) as a product of linear functions
san4es73 [151]

Answer:

p(x)=(x+1)(x+2)(x-3).

Step-by-step explanation:

Note: The given function is not correct.

Consider the given polynomial is

p(x)=x^3-7x-6

It is given that (x+1) is a factor of given function.

Using synthetic division, divide P(x) by (x+1) as shown below.

-1  |     1      0     -7      -6

    |           -1       1       6

--------------------------------------

        1       -1      -6       0

--------------------------------------

Bottom line represents the coefficients of quotient except the last element because it is remainder. So, the given function can be written as

p(x)=(x+1)(x^2-x-6)

p(x)=(x+1)(x^2-3x+2x-6)

p(x)=(x+1)(x(x-3)+2(x-3))

p(x)=(x+1)(x+2)(x-3)

Therefore, the function as a product of linear functions is p(x)=(x+1)(x+2)(x-3).

7 0
3 years ago
An airplane flying with the wind takes 2 hours to travel a distance of 360 miles.
Yuki888 [10]

Answer: still air is 150mph. The wind speed is 30mph.

Step-by-step explanation:

X=speed of the plane, Y=speed of the wind.

360/2hours=180

360/3hours=120

2x=180+120

2x=300

X=150

The airplane in still air is 150mph

Add together

X+y=180

150+y=180

Y=180-150

Y=30mph

The wind speed is 30mph

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Elenna [48]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
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