Answer:
The equation is 0.11x + 0.25 = 0.15x (I think) and the answer is 6.25 = x
Step-by-step explanation:
0.11x + 0.25 = 0.15x Subtract 0.11x from both sides
-0.11x -0.11x
0.25 = 0.04x Divide both sides by 0.04
6.25 = x
Answer:
13
Step-by-step explanation:
First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)
"Of the 32 students that have a cell phone, 19 students do not have a tablet."
The top row of the table is students who have a cell phone. Therefore, place 19 in the box in this row that is in the "no tablet" column.
"Of the 70 students that have a tablet, 57 students do not have a cell phone."
The first column of the table is students who have a tablet. Therefore, place 57 in the box in the 2nd row of this column.
"11 students do not have a cell phone or a tablet."
Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.
We can calculate the blank totals using addition (shown by green numbers on the attached table)
- Total students with no cell phone = 57 + 11 = 68
- Total students with no tablet = 19 + 11 = 30
To calculate the number of students who have a cell phone AND a tablet:
⇒ Total students with a cell phone <em>minus</em> students with a cell phone but no tablet
⇒ 32 - 19 = 13
When presented with a box plot, it is better to identify the 5 numbers that are important in the box plot.
5 number summary of the boxplot.
1) minimum number - 16
2) 1st quartile - 21
3) 2nd quartile or median - 26
4) 3rd quartile - 29
5) maximum number - 34
Range is the difference of the maximum value from the minimum value of the data set.
Interquartile range is the difference of the 3rd quartile from the 1st quartile.
Range: 34 - 16 = 18
IQR: 29 - 21 = 7
14 x² + 6 x - 7 x - 3 =
= ( 14 x² - 7 x ) + ( 6 x - 3 ) =
= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =
= ( 2 x - 1 ) ( 7 x + 3 )
Answer:
1. GCF of the group ( 6 x - 3 ) is 3.
2. The common binomial factor is 2 x - 1.
3. The factored expression is: ( 2 x - 1 ) ( 7 x + 3 ).
Answer:
Rita's pay for Monday is $158.
Step-by-step explanation:
Rita's hourly pay for an 8-hour shift she works everyday is, $16.
If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.
That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.
Rita's working hours on Monday is:
- Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
- 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
- Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes
It is provided that Rita does not get paid for lunch hour.
Rita's pay for Monday is computed as follows:
= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)
= (4 hours 30 minutes) + (4 hours 30 minutes)
= (4 + 4) hours + (30 + 45) minutes
= (8 × 16) + (75 minutes × 16 × 1.5)
= 128 + (1.25 hours × 24)
= 128 + 30
= 158
Thus, Rita's pay for Monday is $158.
