Answer:
6
Step-by-step explanation:
Sum of first 4 numbers= 4*5= 20
This includes 3 + 4th number
Sum of last 4 numbers= 4*8= 32
This includes 4th number + 3
Sum of 7 numbers= 7*(6+4/7)= 46
This includes 3+4th number +3
Number common to both sets= (20+32)- 46 = 6
Answer:
1394
Step-by-step explanation:
Set up equation to find the number:
Variable n = number
65/100 = 1105/n
Cross multiply:
65 × n = 100 × 1105
65n = 110,500
n = 1700
Check your work:
1700 × 65%
Convert percentage into decimal:
1700 × 0.65
1105
Correct!
Find 82% of 1700:
Variable x = 82% of 1700
82/100 = x/1700
82 × 1700 = 100 × x
139,400 = 100x
1394 = x
Check your work:
1700 × 82%
1700 × 0.82
1394
Correct!
I am not sure if you gave all of the information but if you did A because A > B. Did I miss something?
Answer:
150 degrees or 210 degrees
Step-by-step explanation:
A circle is equal to 360 degrees. The face of a clock is a circle and therefore 360 degrees. A clock is separated into 12 sections. Divide 360/ 12 = 30 degrees. This means each section is 30 degrees.
Between 2:00 and 7:00 clockwise, there are 5 sections. Since each section is 30 degrees, then 5*30 = 150 degrees.
Between 2:00 and 7:00 counter clockwise, there are 7 sections. Since each section is 30 degrees, then 7*30 = 210 degrees.
The angle depends on the direction of it.
The answer is C. If you use the pythagorean theorem,

, and connect the two points together at a right angle and pug in the lengths of the two lines to the equation then the answer should be C.