Answer:
24: x = 31
25: x = 15
Step-by-step explanation:
Remark
24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation
25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation
Twenty Four
3x + 31 +2x - 6 = 180 Collect the like terms
3x +2x + 31 - 6 = 180 Do the adding and subtracting.
5x + 25 = 180 Subtract 25 from both sides
5x + 25 - 25 = 180 - 25
5x = 155 Divide by 5
x = 155/5
x = 31
Check
3x + 31 = 3*31 + 31
3x + 31 = 93 + 31
3x + 31 = 124
2x - 6 = 2*31 - 6 = 62 - 6 = 56
Total 124 + 56 = 180 as it should.
Twenty Five
Equation
3x+ 4x - 15 = 90
Solution
7x - 15 = 90 Like terms have been collected on the left.
7x = 90 + 15 15 was added to both sides
7x = 105 Divide by 7
x = 15 I'll leave the check to you
Again just substitute ,the answer is B
Answer:
the answer is on quizlet
Step-by-step explanation:
Answer:
4 2/7
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the tedious math for you. (See the attachment.)
_____
The sum of the numbers is 56, so their average is 56/7 = 8. Then the absolute deviations from average are ...
... 8, 5, 2, 1, 3, 5, 6
and the total of these is 30. The mean absolute deviation is this sum divided by the number of numbers, 7, so is ...
... 30/7 = 4 2/7
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<em>More about Absolute Deviation from Average</em>
"Absolute" here refers to the absolute value function, which drops the sign of a negative number. The absolute deviation of the data value 0 is ...
... |0 - 8| = |-8| = 8
For 3, it is ...
... |3 - 8| = |-5| = 5
Answer:
.125 = 1/8
Step-by-step explanation:
4 ^-1 = 1/4 (.25)
2^3= 2x2x2=8
8 / 16 = .5
.5 x .25 = .125 converts to 1/8
