Answer:
70
Step-by-step explanation:
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<u>Answer:</u>
Liam will use 3.5 gallons of paint to paint his living room
<u>Solution:</u>
Given that Liam has gallons of paint.
He uses of paint to paint his living room
We need to find how many gallons of paint will Liam use
The gallons of paint Liam used can be found as follows:
Amount of paint Liam has = gallons
Converting mixed fraction to decimal we get 8.75
Amount of paint used = 2/5th of available amount
Hence Liam will use 3.5 gallons of paint to paint his living room
Solve the following system of equations:
2x + 3y = 40
-2x + 2y = 20
We can add these equations to get a new equation. Then we can solve for y:
0 + 5y = 60
5y = 60
y = 12
2x + 3y = 40, plug in y = 12 and solve for x:
2x + 36 = 40
2x = 4
x = 2
Choice A
Answer:
(a) Co-ordinate rule is and
(b) Co-ordinates of B' and C' are and respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A are translated to A'.
For the co-ordinates A and A', and
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and .
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B, and .
So, of B' is
And, of B' is .
Therefore, co-ordinates of B' are .
For C, and .
So, of C' is
And, of C' is .
Therefore, co-ordinates of C' are .