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2 years ago

Translate the sentence into an equation.

Mathematics

1 answer:

Luba_88 [7]2 years ago

3 0

Answer:

The expression of the given statement is 8 y - 2 = 6.

Step-by-step explanation:

Here, let the unknown number = y

Now, product of y and 8 = 8 times y = 8 y

Also, two less than the product = Product - 2

So, two less than the product of 8 and y = 8 y - 2

Now, this above expression is equivalent to 6.

⇒8 y - 2 = 6

Hence the expression of the given statement is 8 y - 2 = 6.

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Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

$t \propto y^{1/2}$

$t = k\cdot t^{1/2}$

Where:

$t$ - Time spent by the stone, measured in seconds.

$y$ - Height change experimented by the stone, measured in meters.

$k$ - Proportionality constant, measured in $\frac{s}{m^{1/2}}$ .

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

$k = \frac{t}{y^{1/2}}$

If $t = 4\,s$ and $y=78.4\,m$ , then:

$k = \frac{4\,s}{(78.4\,m)^{1/2}}$

$k \approx 0.452\,\frac{s}{m^{1/2}}$

Then, the expression is $t = 0.452\cdot y^{1/2}$ . Finally, if $y = 500\,m$ , then the time is:

$t = 0.452\cdot (500\,m)^{1/2}$

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2 years ago

Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly

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Answer:

4.9 hours = 4 hours 54 minutes

Step-by-step explanation:

speed = distance/time

time * speed = distance

time = distance/speed

time = (284 miles)/(58 mph) = 4.9 hours

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Answer:

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2 years ago

the width of a rectangle is 3 units less than the length. if the area is 130 square units, then find the dimensions of the recta

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Answer:

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Step-by-step explanation:

If the width of a rectangle is 3 units less than the length and if the area is 130 square units, the length is 10 units and the width is 13 units.

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