Answer:
length = 17cm, width = 10cm
Step-by-step explanation:
2L + 2w = 54
L = w + 7
Substitute:
2(w + 7) + 2w = 54
2w + 14 + 2w = 54
4w = 40
w = 10
L = 10 + 7 = 17
Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6
Answer:
The probability of picking two consecutive purple marbles without replacement is 14.72%.
Step-by-step explanation:
Initially, there are 4+6+2+8 = 20 total marbles.
The probability of picking a purble marble is
P_{1} = \frac{number of purple marbles}{number of total marbles}
P_{1}= \frac{8}{20} = 0.4
Since there are no replacements, there are now 19 total marbles, 7 of which are purple. So, the probability of picking another purple marble is
P_{2} = \frac{7}{19} = 0.368
The probability P of picking a purble marble(P_{1}), not replacing it, and then picking another purple marble(P_{2}) is:
P = P_{1}*P_{2} = 0.4*0.368 = 0.1472 = 14.72%
Answer:
Distance=520cm
Step-by-step explanation:
The solution is in the image
There are 100 cm in a meter so 100/50=2
2x9 = 18
the ladybug is 18 mm
