Answer:
Let g represent the cost of gas and e represent the cost of electricity.
150g + 520e = 84.20 ⇒ 7(150g + 520e = 84.20) ⇒ 1050g + 3640e = 576.80
210g + 405e = 82.35 ⇒ -5(210g + 405e = 82.35) ⇒ -1050g - 2025e = -411.75
1615e = 165.05
e = 0.10
150g + 520(0.10) = 84.20
150g + 52 = 84.20
140g = 32.20
g = 0.23
Answer: gas = $0.23, electricity = $0.10
Step-by-step explanation:
Answer: 
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Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.

So that's why the diagonal BD is exactly
units long
Side note: 
The best thing to do is to find the cost of one sweet, and to do this, divide 42 by 7.
42/7= 6
Therefore, one sweet costs 6p.
To find the cost of 8 sweets, you've got to multiply 6 by 8, and this gives you 54p.
Therefore, 8 sweets cost 54p
This is basically just finding unit rate and multiplying.
<span>Hope this helps :)</span>
True. the base of an exponential function must be positive.
Answer:
yes
Step-by-step explanation:
the points are on a line that passes through the origin. i got it right on the instuction part!