During a game of pool, Raul hit a ball and it followed the path from B to C and

What’s the x value of PR=9x-31 and QR=43?

True [87]

<h3>Simplifying </h3>

9x + -31 = 43

<h3>Reorder the terms:</h3>

-31 + 9x =43

<h3>Solving</h3>

-31 + 9x =43

<h3>Solving for variable 'x' .</h3><h3>Move all terms containing x to the left, </h3>

Add '31' to each side of the equation .

0 + 31 +9x = 43 + 31

<h3>Combine like terms: </h3>

-31 + 31 =0

0 + 9x = 43 +31

9x = 43 + 31

<h3>Combine like terms:</h3>

43 + 31 =74

9x = 74

<h3>Divide each side by '9'</h3>

x = 8. 222222222

<h3>Simpifying</h3>

x = 8.222222222

6 0

2 years ago

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The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi

Leokris [45]

Answer:

75.

Step-by-step explanation:

If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.

The percentile 50 falls in the middle of this range, therefore, the value that represents the 50th percentile will be:

(65 +85) / 2 = 150 / 2 = 75.

4 0

2 years ago

You and your friend are making 30 liters of sodium water. You have liters of 10% sodium and your friend has liters of 22% sodium

iren [92.7K]

X liters of 10% + (30 - x) liters of 22% = 30 liters of 15%

<span>Plugging in the numbers </span>
<span>x(10) + (30 - x)22 = 30(15) </span>

<span>Distribute </span>
<span>10x + 660 - 22x = 450 </span>

<span>Combine like terms </span>
<span>-12x = -210 </span>

<span>Divide both sides by -12 </span>
<span>x = 17.5 </span>
<span>30 - x = 12.5 </span>

<span>17.5 liters of 10% + 12.5 liters of 22% = 30 liters of 15%

THE TRICK IS TO JUST USE ONLY ONE VARIABLE</span>

4 0

2 years ago

Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide

MrRa [10]

Answer: $\frac{1}{36}\pi L$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height.

Make the conversion from inches to feet. Since $1\ ft=12\ in$ ,you get:

$(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft$

So in this case you can identify that:

$r=\frac{1}{6}\\\\h=L$

Then, substituting them into the formula and simplifying you get:

$V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L$

Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:

$\frac{1}{36}\pi L$

4 0

2 years ago

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The bed of a pickup truck measures 4 feet by 8 feet to the nearest inch, what is the length of the longest thin metal bar that w

Helga [31]

The bed of the truck is a rectangle, 4-ft wide and 8-ft long.

The diagonal of the rectangle is

   √ (4² + 8²)

   = √ (16 + 64)

   = √ (80)

   = 8.9442... feet

8.9442... feet = 8 feett 11.33 inches

Rounded to the nearest inch:    8 ft 11 in .

4 0

2 years ago