Answer:
R fraction visual models are incredibly effective for teaching fraction concepts. Conceptual understanding means knowing the meaning of a numerators and a denominators. As well as understanding what actually happens when we perform fraction operations.
Step-by-step explanation:
Step-by-step explanation:
h = -490t² + 1470t
When h = 980:
980 = -490t² + 1470t
Simplifying:
0 = -490t² + 1470t - 980
0 = t² - 3t + 2
Factoring:
0 = (t - 1) (t - 2)
t = 1, 2
There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.
This simplifies to 10x - 4
Answer:
600 miles in a day.
Step-by-step explanation:
Variable x = number of miles
Company A: 140 + 0.80x
Company B: 80 + 0.90x
Set up an equation:
140 + 0.80x = 80 + 0.90x
Isolate variable x:
60 + 0.80x = 0.90x
60 = 0.10x
600 = x
Check your work:
140 + 0.80(600) = 80 + 0.90(600)
140 + 480 = 80 + 540
620 = 620
Correct!
S=number of 6 cent stamps
t=number of ten cen stamps
e=number of 8 cent stamps
w=number of 20 cents stamps=2
cost=500 cents
6s+10t+8e+20w=500
w=2 since two 20 cent stamps wer bought
6s+10t+8e+40=500
minsu 40 both sides
6s+10t+8e=460
divide both sides by 2 to simplify
3s+5t+4e+230
also
10 more 6 cent than 10 cent
s=10+t
8 cent stamps is 3 times 10 cent stamps
e=3t
sub
s=10+t
e=3t
3(10+t)+5t+4(3t)+230
30+3t+5t+12t=230
30+20t=230
minus 30
20t=200
divid 20
t=10
sub back
s=10+t
s=10+10
s=20
e=3t
e=3(10)
e=30
20 six cent
30 eight stamp
10 ten cent
2 twenty cent