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Shalnov [3]
3 years ago
11

The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer fi

nishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.
Mathematics
1 answer:
Ket [755]3 years ago
4 0

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.

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Start by plotting the y-intercept at (0,1).

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If needed repeat that "up 2, right 1" from that second point to get a third point.

Draw the line that connects these 2 or 3 points.

6 0
3 years ago
What is the axis of symmetry of h(x)= 5x^2+40x+ 64?
andrezito [222]

Answer:

Axis of symmetry is  x = -4

Step-by-step explanation:

h(x)= 5x^2+40x+ 64

Use the formula for axis of symmetry:   x = -b/(2a)

Here,  a = 5,  b = 40,  c = 64

so

x = -40/(2*5) = -40/10 = -4

Axis of symmetry is  x = -4

3 0
3 years ago
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A middle-school art teacher, Ms. Velez, and her students are turning the school’s gymnasium into a student art museum for the da
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3 0
3 years ago
Q Searchmatics Gr 7)I need 4 cups of flours and 2 cups of sugar to make a cake. How many cups of sugar do I need if Ihave 12 cup
Ede4ka [16]

You will need 6 cups of sugar.

Step - by - Step Explanation

What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>

<em />

Given:

Cups of flours = 4

Cups of sugar = 2

Cups of flour =12

Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.

Using proportion;

4 cups of flour = 2 cups of sugar

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Cross - multiply

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Divide both-side of the equation by 4

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6 0
1 year ago
Express 78 billion in scientific notation
ryzh [129]

Answer:

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Step-by-step explanation:

For scientific notation , follow the following notation:

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a^{'} = 78000000000

a^{'} = 78000000000.0

In standard form

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or

a = 7.8

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

7.8 * 10^{10} is scientific notation of 78 billion

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3 years ago
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