Answer:
60
Step-by-step explanation:
The problem will be solved by looking for the least common multiple (LCM) of the amounts of all four kinds since they want equal amounts of each.
LCM is defined as the smallest positive integer that is divisible by each of the integers (spring flowering bulbs in this case) involved in the operation.
therefore, we are looking for the LCM of the following integers:
Crocus: 6
Tulip: 4
Daffodil: 3
Hyacinth: 5
The first step to calculate the LCM is to factor each integer (to break it up into numbers that can be multiplied together to get the original number) and express them in terms of powers:
Crocus: 6=2*3
Tulip: 4=2*2=
Daffodil 3 = 3 (prime numbers only have themselves as factors)
Hyacinth 5=5 (prime numbers only have themselves as factors)
Now, To calculate the LCM we need to multiply all factors we have found ( in this case 2, 3, and 5) but only once and with the maximum power.
This means the least number of each spring flowering bulbs that they can buy to buy equal amounts is 60.
Now this will cost:
Crocus:
Tulip:
Daffodil:
Hyacinth:
-120*5/8=-(600/8) or when simplified it is -75 so your elevation is -75 feet
Put both fractions into an improper fraction.... 33/7 - 13/7. then you subtract the numerators.. so its 20/7 or 2 6/7.
The y-intercept is the value when x=0. The x-intercept of 3 corresponds to y=0, and the point on the line is (3,0). The y-intercept of 4 corresponds to x=0, and the point on the line is (0,4). ... Now that we have the slope, we can write the equation for the line in point-slope form. One quick way to do this is to use the fact that
3
⋅
4
=
12
to say an equation for this line is
4
x
+
3
y
=
12
(since, when
y
=
0
, it follows that
x
=
3
and when
x
=
0
it follows that
y
=
4
).
You could also find the slope of the line containing the points
(
x
,
y
)
=
(
3
,
0
)
and
(
x
,
y
)
=
(
0
,
4
)
as
Δ
y
Δ
x
=
4
−
0
0
−
3
=
−
4
3
so that the equation has the form
y
=
−
4
3
x
+
b
, where
b
is the
y
-intercept so the equation becomes
y
=
−
4
3
x
+
4
. This is equivalent to the last answer because you can multiply everything by 3 and rearrange to get
4
x
+
3
y
=
12.
Answer: (b)
Step-by-step explanation:
Given
The letter "BHUTAN" has to be arranged
For filing the first place of 6 letter word, we have 6 choices
Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.
In this way, the remaining places can be filled in 4, 3, 2, and 1 way
On combining the above, 6 places can be filled in
Thus, option (b) is correct.