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satela [25.4K]
2 years ago
8

John ran 1 2/5 miles in 1/3 hour. How many miles can John run in 1 hour

Mathematics
1 answer:
sasho [114]2 years ago
4 0

Answer:

5 miles per hour

Step-by-step explanation:

15/3=5

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Convert from Decimal Notation to Scientific Notation
umka21 [38]

Answer:

Hence, 0.026 can be expressed as $2.6 \times 10^{-2}$.

Step-by-step explanation:

- Given 0.026

- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .

- Then count n and write in scientific notation.

Step 1 of 1

Consider 0.026

$$\Rightarrow 2.6$$

Decimal has moved 2 places to right.

The power will be negative as original no. is less than 1 .

$$\begin{aligned}&2.6 \times 10^{-2} \\&0.026=2.6 \times 10^{-2} .\end{aligned}$$

6 0
2 years ago
A pool measuring 8 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the poo
Ainat [17]
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0.          Divide through by 4.
x²  + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients:  1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check:   25*-8 = -200         25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x


 x² +17x - 200 = 0     

x² + 25x - 8x - 200 = 0     

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0    or   x - 8 = 0

x = 0 -25              x = 0 + 8

x = -25                    x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.
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Answer:

Step-by-step explanation: where’s the slope
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Elden [556K]

Answer:

86º

Step-by-step explanation:

6 0
2 years ago
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Vladimir [108]

Answer:

The answer is 62.17

Step-by-step explanation:

Because 3 in the thousandths is not equal to or greater than 5

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