Answer:
Q10: 5x - 3
Q15: s = 2
Q21: 4 ft
Q24: -33%
Q42: 10.3
Step-by-step explanation:
Question 10) Simplify. 5 + 2(3x − 4) − x
5 + 6x - 8 - x
= -3 + 5x
= 5x -3
Question 15) Solve. 27s − 29 = 54s − 83.
27 s -27 s -29 + 83 = 54 s -27 s -83 + 83
54 = 27 s
s = 2
Question 21) On a sunny day, a 2-foot red kangaroo casts a shadow that is 7 feet long. The shadow of a nearby eucalyptus tree is 14 feet long. Find the height of the tree.
The ratio of the tree and kangaroo is 2:1
Therefore, using this logic, 14 / 7 = 2, 2 x 2 = 4ft
The height of the tree is 4ft
Question 24) Find the percent change from 600 to 408. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.
408 / 608 = 0.67 = 67%
67 - 100 = -33%
This is a percent decrease
Question 42) Use the distance formula to find the distance to the nearest tenth, from R(7, −2) to W(−2, 3).
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((-2 - 7)^2 + ( 3 - (-2))^2
d = sqrt((-9)^2 + (5)^2)
d = sqrt(81 + 25)
d = sqrt(106)
d = 10.29 = 10.3 (nearest tenth)
