Answer:
All real numbers
Step-by-step explanation:
There is 3 possible solutions to a linear equation:
- One solution -a unique x value that makes the equation true
- No solution - a false statement is given after solving without a value for x
- Infinite solution - a true statement is given after solving without a value for x
Solve using inverse operations:
4(a+2)=14-2(3-2a)
4a+8=14-6+4a
4a-4a+8=8+4a-4a
8=8
Is 8=8? Yes. Therefore this is a true statement with no value for x. Infinite solutions or all real numbers.
Answer:
$52.60
Step-by-step explanation:
Start with 135.10 and subtract the withdrawls (60, 45)
135.10-60-45 = 30.10
Add the deposit 22.50
30.10 + 22.50 = 52.60
Answer:
x>
.
x>\frac{53}{6}
Step-by-step explanation:
12x>140−34
2 Simplify 140-34140−34 to 106106.
12x>106
12x>106
3 Divide both sides by 1212.
x>\frac{106}{12}
Median: 29
Range: 25
IQR: 14.5
Explanations:
**Median:**
(To find the median, we need to first order all the elements)
Ordered —> 15, 18, 18, 20, 23, 28, 30, 33, 33, 34, 38, 40
(Since there are an even number of elements, we need to add the two elements in the middle and divide by 2)
Median = (28 + 30)/2 = 58/2 = 29
**Range:**
(To find the range, you just have the subtract the smallest one from the largest)
Range = 40 - 15 = 25
**IQR:**
First half of elements —> 15, 18, 18, 20, 23, 28
Second half of elements —> 30, 33, 33, 34, 38, 40
Q1 (Quartile 1) = Median of first half = (18 + 20)/2 = 38/2 = 19
Q3 (Quartile 3) = Median of second half = (33 + 34)/2 = 67/2 = 33.5
IQR = Q3 - Q1 = 33.5 - 19 = 14.5
Answer: The angle is 105 degrees. This angle along with the 75 degree angle make a straight line , 180-75 = 105 degrees
