Answer:
Step-by-step explanation:
First question
1 solution
- 6p-12= - 5p Take 6p from both sides
- -12 = -5p - 6p Combine
- -12 = - 11p Divide by - 11
- -12/-11 = p
- 1.09 = p
Second Question
- Infinitely many solutions.
- 5p + 10 = 5p + 10
- No matter what value you use for p, the right side of the equation always equals the left side.
Third question
- y = 25 - 2x
- x = 6
- y = 25 - 2*6
- y = 25 - 12
- y = 13
There are 13 more stops to make.
Answer:
The smallest number is 14
Step-by-step explanation:
Answer:
45°
Step-by-step explanation:
Let's understand "supplement" and "complement" -- basics of geometry of angles.
- When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
- When we say two angles, a & b, are complementary, we mean that both ADD up to 90.
<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>
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We want to find complement of 45, so we subtract 45 from 90 to get:
90 - 45 = 45°
Hence, the complement of a 45° angle = 45°
Let Ted be x.
Ed is 7 years older = x + 7
Ed = (3/4)Ted
(x + 7) = (3/4)x
x + 7 = 3x/4
x - 3x/4 = -7
x/4 = -7
x = -28, Ted = -28 years
(x + 7) = -28 + 7 = -21, Ed = -21 years.
Goodness. We had negative numbers for the ages, well does that make sense? No it doesn't.
Our answer is correct. But the sense in the question is lacking. The question has been wrongly set.
We might assume negative ages to mean before they came into the world, before birth!