Answer:
45
Step-by-step explanation:
As a first rough estimate: divide 390 by 10, obtaining 39.
Another reasonable approximation could be obtained by dividing 450 by 9 and 360 by 9, obtaining 50 and 40. Since 390 is roughly halfway between 360 and 450, estimate that the quotient is approx 45 (halfway between 40 and 50).
Answer: 6 - 5
<u>Step-by-step explanation:</u>
|z - 6| - |z - 5| ; z < 5
Since z < 5, then
|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 6) = -z + 6
|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 5) = -z + 5
Now subtract them without the absolute value signs:
-z + 6 - (-z + 5)
Distribute the negative sign:
-z + 6 + z - 5
-z + z = 0 which leaves:
6 - 5
Answer:
The area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
Step-by-step explanation:
Given that the dog pen for Ruth's dog is 7 feet long and 6 / 1.3 feet wide, while her friend Ralph's dog pen is 14 feet long and 6 / 1.2 feet wide, to determine how many times larger is the area of Ralph's dog pen, the following calculation must be performed:
1/3 = 0.333
1/2 = 0.5
7 x 6.333 = X
44,333 = X
14 x 6.5 = X
91 = X
44,333 = 100
91 = X
91 x 100 / 44.333 = X
9,100 / 44,333 = X
205.26 = X
100 = 1
205.26 = X
205.26 / 100 = X
2.05 = X
Thus, the area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
Answer:
Step-by-step explanation:
5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.
