Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.
Explanation:
1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.
2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:
- Call n the amount of figurines owned last year.
- F is the number of figurines purchased: F = 15%n = 0,15n
- Hence, you just need to clear F from the expression F = 0.15n
- Divide both sides by 0.15:
F / 0.15 = n or n = F / 0.15 (reflexive property)
- To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:
(F / 0.15) × (100 / 100) = 100F / 15
100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F
Answer: 4.2495 feets
Step-by-step explanation:
Given the following :
Rate of change (speed) when rock hits the lake surface = - 3in/s
Distance or depth after 5 seconds :
Distance = rate of change * time
Distance = (- 3 in/s × 5) = - 15 inches
1 inch = 0.0833 feet
15 inches = (-15 * 0.0833) = - 1.2495 feets
Distance between Lisa's hand and lake surface = 3 feets :
Distance between Lisa's hand and rock after 5 seconds :
(3 feets + 1.2495 feets) = 4.2495 feets
Answer:
1073.38
Step-by-step explanation:
975 × 0.01 = 9.75
9.75 + 975 = 984.75
984.75 × 0.09 = 88.6275
88.6275 + 984.75 = <u>1073.38</u>
If X is increased by 7 to make 21
X + 7 = 21
then rearrange the equation to get X
X = 21-7
X = 14(b)
The square root of 25 is 5
