Answer:
48 teaspoons of Oregano
Step-by-step explanation:
Ratio is given as:
Cans of tomatoes : Teaspoons of Oregano
1 : 6
Hence:
1 can of tomatoes = 6 teaspoons of Oregano
8 can of tomatoes = x teaspoons
Cross Multiply
x = 8 × 6 teaspoons
x = 48 teaspoons of Oregano
Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell
(2.5 m/s) x (45 s) = 112.5 meters .
If it wound up only 40 meters underwater, then it must have fallen
(112.5 m - 40 m) = 72.5 meters
from its storage position on the big cruise ship,
before it ever reached the water.
Since it was falling at the rate of 2.5 m/s, it took
(72.5 m) / (2.5 m/s) = 29 seconds
to get down to the water surface after it started dropping.
Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:

For the capacity, we have:

For the tickets sold, we have:

Half as many as adults are children implies that:

Required
Solve for A, C and S
The equations to solve are:
-- (1)
-- (2)
-- (3)
Make C the subject in (3)

Substitute
in (1) and (2)
-- (1)


Make S the subject

-- (2)



Substitute 



Solve for A


Recall that: 


Recall that: 



Hence, the result is:



Answer:
75+12h ≥ 399
He must work at least 27 hours
Step-by-step explanation:
How much does benny earn
He makes 75 for the course plus 12 dollars an hour
75+ 12h
This must be at least 399
75+12h ≥ 399
Subtract 75 from each side
75-75+12h ≥ 399-75
12h ≥ 324
Divide each side by 12
12h/12 ≥ 324/12
h ≥ 27
He must work at least 27 hour
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.