Answer:
2.4 hours
Step-by-step explanation:
Get common denominators -
1/12 x 5/5 = 5/60
1/5 x 12/12 = 12/60
The turtle walks ata 5/60 a kilometer an hour.
divide remaining time by 5/60
(12/60) / (5/60) = 2.4 hours
Answer:
10 spiders and 12 ants
Step-by-step explanation:
You need to create two equations
s = # of spiders
a = # of ants
s + a = 22 heads
since each spider and ant has one head
8s + 6a = 152 legs
since every spider has 8 legs and every ant has 6
s + a = 22 can be turned into s = 22 - a
now use substitution
8(22 - a) + 6a = 152
176 - 8a + 6a = 152
176 - 2a = 152
24 = 2a
a = 12
now that you have the number of ants you can solve for the number of spiders
s + a = 22
s + 12 = 22
s = 10
Answer:
We conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
Step-by-step explanation:
Given the statement
''add 3 and the sum of 9 and v''
Let us break down the statement
so
Adding 3 and the sum of 9 and v will be: 3 + 9 + v
Therefore, we conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
(A)
P(<em>X</em> < 61.25) = P((<em>X</em> - 55.4)/4.1 < (61.25 - 55.4)/4.1)
… ≈ P(<em>Z</em> ≤ 0.1427)
… ≈ 0.5567
(B)
P(<em>X</em> > 46.5) = P((<em>X</em> - 55.4)/4.1 > (46.5 - 55.4)/4.1)
… ≈ P(<em>Z</em> > -2.1707)
… ≈ 1 - P(<em>Z</em> ≤ -2.1707)
… ≈ 0.9850
The length of that arc is (90/360)·2·π·6 = (1/4)·12·π = 3·π ≈ 9.42 units;
