Let f=number of five pound and e=number of eight pound dumbbells
5f+8e=282
8e=282-5f
e=(282-5f)/8
...
8f+12e=432, using e found above
8f+12(282-5f)/8=432
64f+12(282-5f)=3456
64f-60f+3384=3456
4f+3384=3456
4f=72
f=18, since e=(282-5f)/8
e=24
So there are 18 five pound and 24 eight pound dumbbells in the shipment.
Step-by-step explanation:
1. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
G
2. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
B
3. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
I
4. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
H
Your code is, GBIH
Answer:
The height of the kite is 48.54 feet
The angle of elevation is 76.11°
Step-by-step explanation:
To find the height of the kite, we can use the Pythagoras' theorem in the triangle created by the length of the string (hypotenuse), the height of the kite and the distance to the umbrella (catheti).
Then, we have:
50^2 = 12^2 + height^2
height^2 = 2500 - 144
height^2 = 2356
height = 48.54 ft
So the kite is 48.54 feet high in the air.
The angle of elevation can be calculated using the cosine relation:
cos(angle) = 12 / 50
cos(angle) = 0.24
angle = 76.11°
The answer is x=11
Explanation: you have to use pemdas
