Answer:
94
Step-by-step explanation:
Let the unknown number be denoted by the variable, x. Also note that, the average can be found by adding all values together and dividing by the amount of values there are.
Set the equation:
(85 + 73 + 92 + 66 + x)/5 = 82
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Simplify first by combining like terms, and then do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions.
Combine like terms:
(85 + 73 + 92 + 66 + x)/5 = 82
(316 + x)/5 = 82
Next, isolate the x, by multiplying 5 to both sides of the equation:
(316 + x)/5 * 5 = (82) * 5
316 + x = 82 * 5
316 + x = 410
Lastly, subtract 316 from both sides of the equation:
x + 316 = 410
x + 316 (-316) = 410 (-316)
x = 410 - 316
x = 94
94 is the final test score.
The range is the set of all y-coordinates.
R = {2, 6, 8}
Answer: -260
Step-by-step explanation:
<u>ANSWER: </u>
The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).
<u>SOLUTION:
</u>
Given, two linear equations are 2x + 3y = 5 → (1) and 4x – y = 17 → (2).
Let us first solve the above equations using <em>elimination process.
</em>
For elimination, one of the coefficients of variables has to be same in order to cancel them.
Now solve (1) and (2)
eqn (1) 
2 → 4x + 6y = 10
eqn (2) → 4x – y = 17
(-) ----------------------------
0x + 7y = -7
y = -1
Substitute y value in (2)
So, solution of two equations is (4, -1).
<u><em>Now let us solve using substitution process.</em></u>
Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17
Now substitute y value in (1) → 2x + 3(4x – 17) = 5 → 2x + 12x – 51 = 5 → 14x = 5 + 51 → 14x = 56
x = 4
Substitute x value in (2) → y = 4(4) – 17 → y = 16 – 17 → y = -1
Hence, the solution of the two equations is (4, -1).
Answer:
<h2>149 times.</h2>
Step-by-step explanation:
Let n be the number we are looking for.
The we have to solve this equation:
1999 - 7n = 1701 - 5n
⇔ 1999 - 1701 = 7n - 5n
⇔ 298 = 2 n
⇔ n = 298/2
⇔ n = 149
<u><em>Verification</em></u> :
1 999 - 7×149 = 956
1 701 - 5×149 = 956
