She can make 56 bracelets and have 3 charms left over
Answer:
m∠BOC = 60°
Step-by-step explanation:
m∠AOB and m∠BOC have to add up to m∠AOC.
Step 1: Define
m∠AOB = 7x + 30
m∠BOC = 9x + 42
m∠AOC = 104
Step 2: Set up
7x + 30 + 9x + 42 = 104
Step 3: Solve for <em>x</em>
<u>Combine like terms:</u> 16x + 72 = 104
<u>Subtract 72 on both sides:</u> 16x = 32
<u>Divide both sides by 16:</u> x = 2
Step 4: Find m∠BOC
m∠BOC = 9(2) + 42
m∠BOC = 18 + 42
m∠BOC = 60°
Answer:
m∠T = 27.9°
Step-by-step explanation:
Use the law of cosines
Answer:
29 pounds of type A coffee was used
Step-by-step explanation:
David's shop makes a blend that is a mixture of 2 coffee
Type A costs $4.10
Type B costs $5.25
Let a represent the number of pounds of type A coffee used
Since this month's blend used twice as many pound of type B coffee as type A
a + 2a
The total cost is $423.40
Therefore the amount of pounds of type A coffee used can be calculated as follows
4.10a + 5.25(2a)= 423.40
4.10a + 10.5a= 423.40
14.6a= 423.40
a= 423.40/14.6
a= 29
Hence 29 pounds of type A coffee was used
