Answer:
4
Step-by-step explanation:
All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s
s is one of the side length
Given DE = 5x - 8
P = 3DE
P = 3(5x-8)
36 = 3(5x-8)
36/3 = 5x-8
12 = 5x - 8
5x = 12+9
5x = 20
x = 20/4
x = 4
Hence the value of x is 4
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
Answer:
$290.55
Step-by-step explanation:
We can use a ratio to solve
33 hours 39 hours
---------------- = -------------
245.85 x dollars
Using cross products
33 * x = 39* 245.85
33x=9588.15
Divide each side by 33
33x/33 = 9588.15-33
x =290.55
Unit rate is defined as the amount of work done per unit time. In this case, the "work" refers to the amount of parts made. Unit time is then measured in hours. Since the given problem states the total number of parts manufactured and the total time of manufacturing, we simply have to divide the number of parts by the manufacturing time to obtain the unit rate. This is done as follows:
Unit rate = total number of parts manufactured / total manufacturing time
Unit rate = 1630 parts / 6 hours
Unit rate = 271.667 parts/h
Therefore the unit rate is approximately 272 parts/h.
B. Warm air rises,and cool air sinks.