Multiply top equation by -2, then add equations so b drops out....solve for a...plug in a to get b
Last month, my house used 1,740 kilowatt-hours of electrical energy,
and the part of my bill that charged for the electricity was $226.20 .
For the same month, my brother in Boston used 1,175 kilowatt-hours
of energy, and the energy part of HIS bill was $199.75 .
Which of us gets the better deal on his electrical energy ?
Answer:
300 & 3,000
Step-by-step explanation:
347 is < 350 so it rounds to 300
2,550> 2500 so it rounds up
Answer:
x = 3.85
Step-by-step explanation:
Given equation:
6ˣ = 1,000
now,
on taking log both sides, we get
⇒ log(6ˣ) = log(1,000)
or
⇒ log(6ˣ) = log(10³)
now we know the property of log function that
log(aᵇ) = b × log(a)
thus, applying the above property, we get
⇒ x × log(6) = 3log(10)
or
⇒ x × log(2×3) = 3log(10)
now,
we have another property of log function as":
log(A) = log(A) + log(B)
therefore,
x × [log(2) + log(3)] = 3log(10)
also,
log(10) = 1
log(2) = 0.3010
log(3) = 0.4771
Thus,
⇒ x × [0.3010 + 0.4771 ] = 3 × 1
or
⇒ x × 0.7781 = 3
or
⇒ x = 3.85
The answer is the first one
(with blue and orange triangles)
Dilation makes things bigger
