Answer:
Chef Rita can feed 20 people with 55 pancakes.
Step-by-step explanation:
We can solve this problem using equivalent ratios. Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:
To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.
We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio. 55 ÷ 22 = 2.5. So, 8 x 2.5 = 20 people.
Answer:
The answer to your question is a) 4/12 b) 5/12
Step-by-step explanation:
Data
Lettuce = 1/12
Carrots = 3/12
Corn = 4/12
Red radishes = ?
a)
The total of the garden is 12/12
Red radishes = 12/12 - 1/12 - 3/12 - 4/12
= 12/12 - 8/12
= 4/12
4/12 of the garden are red radishes.
b)
Corn of lettuce = 1/12 + 4/12
= 5/12
5/12 of the garden are corn or lettuce.
Answer:
∠ A = 130° , ∠ B = 50°
Step-by-step explanation:
supplementary angles sum to 180°
express ∠ A in terms of ∠ B , that is ∠ A = 3∠B - 20 , then
∠ A + ∠ B = 180° , that is
3∠B - 20+ ∠B = 180 ( add 20 to both sides )
4∠B = 200 (divide both sides by 4 )
∠ B = 50°
∠ A = 3 × 50° - 20 = 150° - 20° = 130°
Square the -5 then use substitution (just combine the numbers)
Answer:
Step-by-step explanation:
The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be 
. The magnitude of 
will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 
, we have:
(Recall that 
)
Now that we've found the vertical component of the velocity and launch, we can use kinematics equation 
to solve this problem, where 
is final and initial velocity, respectively, 
is acceleration, and 
is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 
. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.
What we know:
Solving for 
:
