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Alla [95]
3 years ago
10

A machine can produce 27 inches of ribbon every 3 minutes. How many feet of ribbon can the machine produce in one hour? Explain.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0
First, you have to know how many times you can make 27 inches of ribbon in an hour by dividing 60 by 3. (60 minutes = 1 hour) You get 20, so you can make 27 inches of ribbon 20 times in an hour. Now multiply 20 x 27 to get 540, so you can make 540 inches of ribbon in an hour. To get feet, divide 540 by 12. (12 inches = 1 foot)  So your answer will be 45 feet of ribbon.
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Please help and thank you
azamat

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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4. Find the solution to the equation below.<br> please finish<br> this<br> problem
velikii [3]

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}

Simplify the expressions/equations:

\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}

Isolate w-variable:

\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

4 0
1 year ago
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Assoli18 [71]
I think the answer is 15
8 0
3 years ago
a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area
Orlov [11]

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²  

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area  

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

===============

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

3 0
3 years ago
162.50 if this represented a 6.5% increase what is her monthly salary after the raise
Anon25 [30]

9514 1404 393

Answer:

  2662.50

Step-by-step explanation:

Let s represent her old salary. Then we have ...

  0.065s = 162.50

  s = 162.50/0.065 = 2500

Then her new monthly salary is ...

  new salary = old salary + raise

  new salary = 2500 +162.50

  new salary = 2662.50

6 0
2 years ago
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