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Dominik [7]
3 years ago
6

Henry ran five races, each of which was a different positive integer number of

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0

Answer:

10 miles.

Step-by-step explanation:

Let x be the number of miles on Henry's longest race.

We have been given that Henry ran five races, each of which was a different positive integer number of  miles.

We can set an equation for the average of races as:

\frac{\text{The sum distances of 5 races}}{5}=4

As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.

Now let us substitute the distances of 5 races as:

\frac{1+2+3+4+x}{5}=4

\frac{10+x}{5}=4

Let us multiply both sides of our equation by 5.

\frac{10+x}{5}*5=4*5

10+x=20

Let us subtract 10 from both sides of our equation.

10-10+x=20-10

x=10

Therefore, the maximum possible distance of Henry's longest race is 10 miles.

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elena-s [515]

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Answer:

  2.05 hours

Step-by-step explanation:

Using the given equation with the given time, we have ...

  55x +35(2.5) = 200

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  x = 2.05 . . . . . . . . . . divide by 55

The car spends 2.05 hours at 55 mph.

6 0
3 years ago
All my brain cells have left me I don't understand math please help! lol
sleet_krkn [62]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
How does the order of the numbers affect the product in multiplication problems
GalinKa [24]

Answer:

Uneffected.

Step-by-step explanation:

The order of the numbers doesn't affect the product in multiplication problems.

For example, we need to multiply 2 × 10.

We can write it as : 2×5×2

2×(5×2) = 2×10 = 20

Also,

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Hence, it will remain unaffected when we multiply numbers.

7 0
3 years ago
Simplify 5 to the negative 4th power over 5 to the 3rd
Licemer1 [7]
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to

5⁻⁴ / 5³

So you can just combine exponents.

5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷

Final answer: 1/5⁷
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3 years ago
These five frames show a shapes different positions
kipiarov [429]

From the attached image, we can tell that:

From 1 to 2: There is a shift from left to right along the same plane (x-axis).

From 2 to 3: There is a 90° rotation in the clockwise direction.

From 3 to 4: There is a negative vertical shift. Assuming a y-axis this would be from the top down.

From 4 to 5: There is a 180° rotation in the clockwise direction.

<h3>What is a rotation?</h3>

It is to be noted that a rotation is a sort of transformation that rotates each point in a figure a specific number of degrees around a particular point.

Learn more about rotation in math:
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Full Question:

These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.

7 0
1 year ago
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