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Phoenix [80]
3 years ago
11

If 1/2 x 10 = 8 -x, then x = ____

Mathematics
1 answer:
Serhud [2]3 years ago
5 0
\frac{1}{2}\ \times\ 10=8-x\\\\5=8-x\ \ \ \ /+x\\\\x+5=8\ \ \ \ /-5\\\\x=3
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If a fair six-sided die is rolled three times, what is the chance of getting at least one ace ? note: an ace is the number 1.
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Recall that the probability of multiple events occurring is equal to their individual probabilities. The chance of rolling a one is 1/6, so the chance of that occurring three times is (1/6)^3, which is equal to 1/216.
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Solve 4 over x plus 2 equals 2 over x for x and determine if the solution is extraneous or not.
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X = 2, not extraneous.
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Apply the distributive property to factor out the greatest common factor. 32+44=32+44=32+44=32, plus, 44, equals
Makovka662 [10]

Answer:

76

Step-by-step explanation:

5 0
3 years ago
An oblique cylinder with a base of radius 2 units is shown. The top
Anuta_ua [19.1K]

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

<h3>How to determine the volume of the cylinder?</h3>

The given parameters are:

AB = 16 units

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\theta = 30^o

Start  by calculating the height (h) using:

h = 16 * \cos(30^o)

This gives

h = 13.86

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V = \pi r^2 h

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V = 3.142 * 2^2 * 13.86

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Read more about volumes at:

brainly.com/question/1972490

6 0
2 years ago
A construction crew is extending the length of the center line on a highway. The length of the line starts out as 6 meters long,
Kryger [21]

The equation that represents the relationship between x and y is y=\frac{11}{20}x+6

Explanation:

Given that a construction crew is extending the length of the center line on a highway.

The length of the line starts out as 6 meters long, which is represented on a coordinate plane as the point (0,6). The crew works for 20 minutes and the line is now 17 meters long, which is represented as the point (20,17).

Let x represents the number of minutes spent working.

Let y represents the length of the line in meters.

We need to determine the equation that represents the relationship between x and y.

The equation can be determined using the formula,

y-y_1=m(x-x_1)

First, we shall determine the slope using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (0,6) and (20,17), we get,

m=\frac{17-6}{20-0}

m=\frac{11}{20}

Now, we shall substitute the slope m=\frac{11}{20} and the coordinate (0,6) in the formula y-y_1=m(x-x_1), we have,

y-6=\frac{11}{20}(x-0)

Simplifying, we get,

y-6=\frac{11}{20}x

     y=\frac{11}{20}x+6

Thus, the equation that represents the relationship between x and y is y=\frac{11}{20}x+6

8 0
3 years ago
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