Answer:
5 miles.
Step-by-step explanation:
Consider the question: Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a different route taking 2 1/2 hours. How many miles did Jinghua hike on the return trip ?
First of all, we will find Jinghua's speed using given information as:
Convert mixed fractions into improper fractions:
Using property 
:
We know that distance is equal to the product of speed and time.
Since we have been given that Jingua hiked the return trip at the same average rate, so distance covered by her on return trip would be speed (2 miles her hour) times given time (2 1/2 hours).
Therefore, Jingua hiked 5 miles on her return trip.
This in standard form is -28x + 10.
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer:
The store paid 6.67 times the profit made on the jeans
Step-by-step explanation:
Let the amount the clothing store pay for Jean be X
Let the amount the clothing store sells Jean be Y = X ×1.15
The profit (P) made is the difference between amount the clothing store sells Jean and the amount paid for Jean = Y - X = 1.15X - X
Profit (P) = 0.15X
X = P/0.15 = 6.67P
Therefore, the store paid 6.67 times the profit made on the jeans
At regular price the 10 candy bars would cost $5.90 (0.59×10=5.90). At the sale price the 10 candy bars cost $4.95 (0.99×5 = 4.95). So you would save $0.95 (as 5.90-4.95 =0.95).
