3/2y - 3 + 5/3z when y=6 z=3
1 answer:
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Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:
We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:
To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:
Multiply both sides by 3:
The left side simplifies. Multiply on the right:
Now, multiply both sides by 1/2:
Simplify the left. Multiply on the right:
So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!
Answer:
(b)
Step-by-step explanation:
Given
Required
The graph
First, make y the subject
Divide through by 3
Let x = 3
Let x = 6
So, we plot the graph through
and
See attachment for graph
Minor Arc AC = 110 degrees (given)
As indicated in the hints,
OA=OC => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees
Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle) ok.
As indicated in the hints,
OA=OC => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees
Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle) ok.