Answer:
C
Step-by-step explanation:
using the cosine ratio to find p
cos 45° = 
= 
cross- multiplying gives
p × cos45° = 6 → [ cos 45° = 
]
p × = 6
multiply both sides by 
⇒ p = 6 ( third option on list )
Parallel lines have the same slope but different y intercepts
Slope: 4
y=4x+b
this is the new equation, plug in the point
-10=4(-1)+B
-10=-4+B
add 4
-6=B
Y intercept= -6
slope; 4
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.
If they pay $28 for 16 jerseys then the total they’d have to play is $448
28 x 16 = 448
Hope this helps :)
Answer:
<u>32 53 24 54 61 13</u>
<u>32 53 24 54 61 1317 36 04 10 51 68</u>
