(2x+3) is the missing factor :)
Answer:
To find how many blocks it would take in each of these scenarios, you could find the total volume and then divide by the volume of each smaller cube.
1. 3/7 x 3/7 x 3/7 = 27/343 cubic inches
1/7 x 1/7 x 1/7 = 1/343 cubic inches
27/343 cubic inches divided by 1/343 cubic inches = 27 cubes.
2. 3/7 x 1/7 x 3/7 = 9/343 cubic inches
9/343 cubic inches divided into groups of 1/343 cubic inches is 9 cubes.
3. 2/6 x 2/6 x 2/6 = 8/216 cubic inches
8/216 cubic inches divided by 1/216 cubic inches is 8 cubes.
Another way to think of it would be for #1, each 3/7 of an inch would be 3 groups of 1/7, so 3 x 3 x 3 for each dimension would result in 27 cubes.
For #2, it would be 3 groups of 1/7, one group of 1/7 and another 3 groups of 1/7, so 3 x 3 is 9 cubes.
For #3 it would be 2 groups of 1/6 three times, so 2 x 2 x 2 = 8 cubes.
Step-by-step explanation:
Answer:
4.9
Step-by-step explanation:
Tenths is the number directly after the "." so the 8 in 4.87 is the tenth. Rounding is quite easy, since 7 is bigger than 5 you add 1 to the 8 thus rounding the 4.87 to 4.9
Answer:
Step-by-step explanation:
c + f = 10 (the coach tickets + first class tickets = 10)...there is 10 people
160c + 1230f = 6950....each coach ticket is 160 and each first class ticket is 1230.....and when added, they equal 6950 (for the airfare)
c + f = 10.....c = 10 - f
160c + 1230f = 6950
sub in 10 - f for c
160(10 - f) + 1230f = 6950
distribute the 160 thru the parenthesis
1600 - 160f + 1230f = 6950
combine like terms
1600 + 1070f = 6950
subtract 1600 from both sides
1070f = 6950 - 1600
1070f = 5350
divide both sides by 1070
f = 5350/1070
f = 5 <===== she bought 5 first class tickets
c + f = 10
we found f to be 5...so sub in 5 for f and find c, the coach tickets
c + 5 = 10
c = 10 - 5
c = 5 .......and she bought 5 coach tickets
check...
160c + 1230f = 6950
160(5) + 1230(5) = 6950
800 + 6150 = 6950
6950 = 6950 (correct)....so it checks out
5 coach and 5 first class
1. num of minutes 2,
distance traveled 200 yds
average rate of speed 100 yds/min
2. num of minutes 2
distance traveled 400 yd
average rate of speed 200 yd/min
3. num of minutes 4
distance traveled 600
average rate of speed 150 yd/min
4 he ran faster in the last two minutes
5. yes because it passes the vertial line test. it is linear