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Lubov Fominskaja [6]
3 years ago
13

Keyoka has some bows. she has 8 more purple bows than green bows. she has twice as many orange bows as purple bows. she has 9 gr

een bows. how many bows does keyoka have altogether? student's solution: work backwards. keyoka has 9 green bows. she has 8 more purple bows than green bows (9 8 = 17). she has twice as many orange bows as purple bows (17 × 2 = 34). so keyoka has 9 17 34 or 60 bows. use a similar strategy to solve this problem. jessica has some markers. she has 5 more black markers than blue markers. she has 4 times as many red markers as black markers. she has 8 blue markers. how many markers does jessica have altogether?
Mathematics
2 answers:
valentinak56 [21]3 years ago
6 0
The answer is 73 markers.

Jessica has 8 blue markers. She has 5 more black markers than blue markers (5 + 8 = 13). She has <span>4 times as many red markers as black markers (13 * 4 = 52)</span>. So <span>Jessica </span>has 8 + 13 + 52 or 73 markers.
yarga [219]3 years ago
6 0

Jessica has 8 + 13 + 52 or 73 markers.

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4*7 + 4*8

28+32
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How to divide 219 by 3?
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3 years ago
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t
Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

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3 years ago
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