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emmasim [6.3K]
3 years ago
8

Olivia is making scarves. Each scarf will have 7 rectangles, and 6 7 of the rectangles will be purple. How many purple rectangle

s does she need for 2 scarves? Olivia needs 6? purple rectangles.
Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

12 purple rectangles

Step-by-step explanation:

Olivia is making scarves. Each scarf will have 7 rectangles, and 6/7 of the rectangles will be purple.

Number of purple rectangles in 1 scarf is calculated as =

7 × 6/7 = 6 rectangles per scarf

How many purple rectangles does she need for 2 scarves?

Therefore, If:

1 scarf = 6 purple rectangles

2 scarves = x purple rectangles

Cross Multiply

x = 2 × 6 purple rectangles

x = 12 purple rectangles

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Pleaseeeeeee help mee
BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  

                cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

                  cos( 3x - \frac{\pi }{3} )  = cos (\frac{\pi }{6} )

                      3x - \frac{\pi }{3}  =  \frac{\pi }{6}

                      3x - \frac{\pi }{3  } + \frac{\pi }{3}   =  \frac{\pi }{6} + \frac{\pi }{3}

                      3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}

                     x = \frac{\pi }{6}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

put  x = \frac{\pi }{6}

    cos( 3(\frac{\pi }{6})  - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

    cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =  \frac{\sqrt{3} }{2}

Both are equal

∴The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

                     

4 0
2 years ago
When a wholesaler sold a product at $50 per unit, sales were 184 units per week. After a price increase of $5, however, the aver
nalin [4]

Answer:

$48 per unit

Step-by-step explanation:

Increasing the price by $5 reduces demand by 20 units, so the slope of the curve is -4 units per dollar. This lets us write a demand equation as ...

q = -4(p -50) +184

q = -4p + 384

q = 4(96 -p)

The revenue is the product of price and demand:

r = pq = 4p(96 -p)

This is the equation of a quadratic curve that opens downward and has zeros at p=0 and p=96. The vertex (maximum) will be halfway between the zeros, at ...

p = (0+96)/2 = 48

A price of $48 per unit will yield a maximum total revenue.

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