Answer:
a= -6
Step-by-step explanation:
Given
a=2+3a+10
In order to find the value of a, we have to isolate a on a single side of the equation
So,
subtracting 3a from both sides
a-3a = 2+10+3a-3a
=>a-3a=12
=> -2a = 12
Dividing both sides by -2
=> -2a/-2 = 12/-2
=> a = -6
The value of a in the given equation is -6 ..
Answer:
I think you meant to add a list of answers but didn't so here's the characteristics of a plane: Flat, two dimensional, extends infinitely, and is assembled about multiple points and lines.
Step-by-step explanation:
Answer:
In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.
Step-by-step explanation:
Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:
305 + 121 + 74 = 500
500 = 100
305 = X
305 x 100/500 = X
30,500 / 500 = X
61 = X
500 = 100
121 = X
121 x 100/500 = X
12,100 / 500 = X
24.2 = X
100 - 61 - 24.2 = X
39 - 24.2 = X
14.8 = X
Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.
The correct answer is: [A]: " 384 in² " .
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Explanation:
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The formula for the surface area of a cube is:
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→ A = 6a² ;
______________________________________________________ → in which:
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A = surface area of the cube— for which we shall solve ;
(in "square units" ; or, " in² " ; in our case) ;
a = side length = " 8 in " (given);
→ Note: A cube has all equal side lengths.
→ The "6" in the formula accounts for "6 sides" of a cube.
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→ To solve for the surface area of the cube; plug in our known value(s);
& solve; as follows:
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→ A = 6 a² ;
= 6 * (8 in)² ;
= 6 * 8² * in² ;
= 6 * 8 * 8 * in² ;
= 48 * 8 * in² ;
= 384 in² ;
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The answer is: " 384 in² " ;
→ which is: Answer choice: [A]: " 384 in² " .
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