Solve -3(2w – 1) = 5w – 19

Mathematics

2 answers:

Savatey [412]3 years ago

7 0

Distribute property
-6w +3 = 5w-19
+6w +6w
3=11w-19
+19 +19
22=11w
--- ------
11 11

2=w

Mekhanik [1.2K]3 years ago

6 0

-3(2w-1) = 5w - 19 Original problem.
-6w + 3 = 5w - 19 Distribute.
-11w + 3 = -19 Subtract 5w from each side.
-11w = -22 Subtract 3 from each side.
w = 2 Divide each side by -11.

Answer: w = 2

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Answer:

Minimum = 14

$Q_1=23$

Median = 32

$Q_3=49$

Maximum = 65

Step-by-step explanation:

Step 1: Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is

14, 18, 28, 29, 32, 44, 48, 50, 65

Step 2: Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.

Minimum = 14

Maximum = 65

Step 3: Find the median. The median is the middle number. The middle number in your list is 32, so

Median = 32

Step 4: Place parentheses around the numbers above and below the median.

(14, 18, 28, 29), 32, (44, 48, 50, 65)

Step 5: Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.

First quartile

$\bf{Q_1=\dfrac{18+28}{2}=\dfrac{46}{2}=23}$