The second description is not suitable.
It should be "simplify the terms" sice you are just adding 36 and -20.
Consider the given expression,
Apply the distributive property,
Combine like terms,
Subtract 20 from both sides,
Divide both sides by 27,
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
t C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C? How far would Pete walk if he went from A to B to C? yards The direct distance from A to C is more than 40 yards. The inequality w < represents the distance, w, that Pete might save by taking the direct path.
2 answers:
Answer: The answer is less than 40 yards.
Step-by-step explanation: Given that the points A, B and C forms a triangle as shown in the attached figure, where AB = 15 yards and BC = 25 yards.
Now, Pete walk directly from point A to point C rather than walking from A to B and then from B to C.
Total distance that Pete covers if he walks from A to B and then from B to C
= 15 + 25
=40 yards.
Since he walks directly from A to C and ABC forms a triangle, so from triangular inequality, we have
AB + BC > AC
i.e., AC < 40 yards.
So, if Pete takes the way direct from A to C, then the distance covered by him will be less than 40 yards. And if if he walks from A to B and the from B to C, the he will have to cover total distance of 40 yards.
Thus, the direct way from A to C will be more convenient foe him as he will have to cover less distance.
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Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
Divide both sides by 6.
Put k=9.1 in (i).
Substitute A=260 in the above equation.
Divide both sides by 9.1.
Therefore, she need to work extra about 29 hours to earn an additional $260.