The correct answer is A square root of 41
Answer:
Step-by-step explanation: try your best
Answer:
Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).
Explanation:
You are given:
every serving of shrimp contains 2g of fat and 5mg of iron;
every serving of rice contains 6g of fat and 7mg of iron;
each meal should have 6g of total fat and 10mg of total iron.
You need to set a system of equation: let's call
s = quantity of shrimps
r = quantity of rice
The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g
2s + 6r = 6 (1)
Similarily:
the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g
5s + 7r = 10 (2)
In order to solve the system, solve for s in equation (1):
s = (6-6r)/2 = 3 - 3r (3)
Substitute in equation (2):
5(3 - 3r) + 7r = 10
and solve for r:
15 - 15r + 7r = 10
8r = 5
r = 5/8
Substitute the value of r in equation (3):
s = 3 - 3×5/8 = 9/8
Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.
You can see if they are similar by looking at the sides.
If each of the sides have the same proportion then they are similar.
24/3 = 8
32/4 = 8
112/14 = 8
Yes they are similar and their ratio is 1:8
Hope this helps :)
