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AlexFokin [52]
2 years ago
8

You are cooking for a party. How long will it take to cook 30 ears of corn if it takes 20 minutes to cook a total of 25 ears of

corn?
Mathematics
1 answer:
klemol [59]2 years ago
8 0

Answer:

37.5 minutes (or 38 rounded).

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I need help for this. it would be amazing if you drew out the problem <3
kondor19780726 [428]

Answer:

21245489

Step-by-step explanation:

231

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1

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7 0
3 years ago
Read 2 more answers
Match the parabolas represented by the equations with their vertices. y = x2 + 6x + 8 y = 2x2 + 16x + 28 y = -x2 + 5x + 14 y = -
GaryK [48]

Consider all parabolas:

1.

y = x^2 + 6x + 8,\\y=x^2+6x+9-9+8,\\y=(x^2+6x+9)-1,\\y=(x+3)^2-1.

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.

2.

y = 2x^2 + 16x + 28=2(x^2+8x+14),\\y=2(x^2+8x+16-16+14),\\y=2((x^2+8x+16)-16+14),\\y=2((x+4)^2-2)=2(x+4)^2-4.

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

3.

y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.

4.

y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.

5.

y =2x^2 + 7x +5=2(x^2+\dfrac{7}{2}x+\dfrac{5}{2}),\\y=2(x^2+\dfrac{7}{2}x+\dfrac{49}{16}-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x^2+\dfrac{7}{2}x+\dfrac{49}{16})-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x+\dfrac{7}{4})^2-\dfrac{9}{16})=2(x+\dfrac{7}{4})^2-\dfrac{9}{8}.

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.

6.

y =-2x^2 + 8x +5=-2(x^2-4x-\dfrac{5}{2}),\\y=-2(x^2-4x+4-4-\dfrac{5}{2}),\\y=-2((x^2-4x+4)-4-\dfrac{5}{2}),\\y=-2((x-2)^2-\dfrac{13}{2})=-2(x-2)^2+13.

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

3 0
3 years ago
33.366 divided by 6.7
andrey2020 [161]

Answer:

Step-by-step explanation:

33.366/6.7=  4.98

5 0
3 years ago
A cylinder and a cone are shown below.
Veronika [31]

Answer:

36 in³

Step-by-step explanation:

Volume of cylinder = pi×r²×h

Volume of cone = ⅓×pi×r²×h

For same r and h,

Volume of cone is ⅓ of the Volume of cylinder

⅓ × 108 = 36

3 0
3 years ago
The length of a rectangle is 5 times the width. If the perimeter is to be greater than 36 meters. What are the possible values f
Lostsunrise [7]

Answer:

  The width must be greater than 3 meters.

Step-by-step explanation:

Let w represent the width. Then 5w will represent the length, which is 5 times the width. The perimeter is the total of the side lengths of the rectangle, so is ...

  P = 2w + 2(5w) = 12w

We want this to be greater than 36 m, so ...

  P > 36 m

  12w > 36 m . . . . . . . substitute our expression for P

  w > 3 m . . . . . . . . . . divide by 12

The possible values for width are those values that are more than 3 meters.

3 0
2 years ago
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