Answer:
The solution of the system is (5, 20).
Step-by-step explanation:
y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.
The first can be rewritten as
4x – y = 0.
Therefore, we have:
4x – y = 0
3x + 2y = 55
Multiplying the first equation by 2 all through, we have
8x – 2y = 0.
So we can now combine the second equation with the first multiplied by 2.
8x – 2y = 0
3x + 2y = 55
Adding these equations we have:
11x = 55
Divide both sides by 11 and we have
x = 5
Substitute x = 5 in equation 1, we have
4(5) – y = 0
y = 20.
Therefore, x = 5 and y = 20.
The solution of the system is (5, 20).
Answer:
32
Step-by-step explanation:
since the number of toothpicks are going up by 2 each time, the 15th figure will have 32 toothpicks
1.80 per lb for 100 lbs = 1.80 * 100 = 180
1/10 * 180 = 180/10 = $ 18 <==
Answer:
d) 14^10.
Step-by-step explanation:
14^15 / 14^5
= 14^(15-5(
= 14^10.
Answer:
12322
Step-by-step explanation:
ΔABC ~ ΔEFD