Answer:
54
Step-by-step explanation:
The numbers are 54, 56 and 58 because 54 + 56 = 110 and 58 + 110 = 168. So lead to 54 being the smallest of the three.
1. 3/5
2. 2/7
3. 13/15
4. 59/60
5.29/30
6. 11/24
What we have here are steps where each step requires twice as many blocks as the height of the steps. If you would like to check this math we can look at the staircase given:
3x2 + 2x2 + 1x2 = 6 + 4 + 2 = 12.
We can see that the math works, so now we can do the same work to find out how many steps 56 cubes can make.
6x2 + 5x2 + 4x2 + 3x2 + 2x2 + 1x2 = 42 (6 steps)
<span>7x2 + 6x2 + 5x2 + 4x2 + 3x2 + 2x2 + 1x2 = 56 (7 steps)
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Therefore, the answer is B. 7 steps.
Answer:
In everyday terms and everyday language, rates of change have meaning. For example, the rates of change for some of the examples above can be worded in this manner.
Example 1
Word Problem:
You are at an amusement theme park with your 10 year old child. You bought a ticket for �1/2 day, but your child wants to stay another 4 hours after the �1/2 day is used. The admissions office can accommodate your child's additional time but the rate is $ 15 an hour. How much will it cost to purchase the additional 4 hours at this rate?
Solution to the Word Problem:
$15 / 1 Hour = $x / 4 Hours
x= 4 x 15 = $60
Answer: It will cost you an additional $60 for 4 more hours of fun for your child.
Example 2
Word Problem:
You are following a recipe for a cake for your church group's get together. This recipe calls for 3 tsp of baking powder to every 6 cups of flour. How many tsp would you add to 24 cups of flour?
Solution to the Word Problem:
3 tsp : 6 cups OR 3 tsp / 6 cups OR 3 tsp is to 6 cups
3 tsp / 6 cups = x tsps / 24 cups
6x = 24 x 3 = 76
6x = 24 x 3 = 72 / 6 = 12 4/16 = 12 tsps
Answer: You will need 12 tsps. of baking powder for 24 cups of flour which is enough to make 4 cakes for the church group's get together.
Step-by-step explanation:
