Answer:
Step-by-step explanation:
For species A,
For species B,
When their populations are equal,
The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.
Answer:
She worked for 6 hours on Saturday.
Step-by-step explanation:
Number of hours worked by Danielle last week = 18.25 hours
She worked for three days, Monday, Wednesday and Saturday.
Let she worked on Saturday = x hours
Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x
And the equation will be,
6.5 + 5.75 + x = 18.25
12.25 + x = 18.25
x = 18.25 - 12.25
x = 6
Therefore, she worked for 6 hours on Saturday.
Answer:
option 1
option 3
option 4
Step-by-step explanation:
Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.
option 1:
Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.
option 2:
The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.
option 3:
Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.
option 4:
If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.
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a) (ii) The two angles are vertical angles, so they are congruent.
b)(i) y = 71°
(ii) The two angles are alternate interior angles, so they are congruent.
c) z = 44°
(ii) m∠x = 65° because the two angles are vertical angles, so they are congruent.
b) (i)
∠y is an alternate interior angle, therefore:
m∠y = 71°
c) Use the sum of interior angles of a triangle to determine the measure of angle z:
180 = 65 + 71 + z
180 = 136 + z
180 - 136 = z
z = 44°.
Answer:
- 4, 7
Step-by-step explanation:
Let the required number be x.
Therefore, according to the given condition:
