Answer:
Su has 17 bears
Step-by-step explanation:
Su has 15, Erin takes out 7 of her collection and splits evenly. each sister should get 2 each. Su has 17.
Like terms have to have the same variables and the variables have to have the same powers.
3x and 6x are like terms.
3x and 6y are not.
4y^2 and 7y^2 are like terms.
4y^3 and 7y^6 are not.
2xy and 5xy are like terms.
2xy^2 and 5x^2y are not
2xy^2 and 5xy are not.
Answer:
20% decrease.
Step-by-step explanation:
difference over original
50.97-40.78= 10.19
diff/orig=sales tax
10.19 / 50.97= 19.99..
19.99 is approximately 20.
Answer:
Let the number of digits be n and the number of elements in set be s.
<h3>When n = 1</h3>
- The set contains 1-digit numbers, 1 through 9,
- The set consists of 10 - 1 = 9 numbers.
<h3>When n = 2</h3>
- The set contains 2-digit numbers, 10 through 99,
- The set contains 100 - 10 = 90 numbers.
<h3>When n = 3</h3>
- The set contains 3-digit numbers, 100 through 999,
- The set contains 1000 - 100 = 900 numbers.
The pattern we see helps us determine the relationship between s and n as follows.
When set contains n-digit numbers, the set contains:
- s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elements
We have s known, substitute it into equation above and solve for n:
- 900000000 = 9*10ⁿ¹
- 100000000 = 10ⁿ⁻¹
- 10⁸ = 10ⁿ⁻¹
- n - 1 = 8
- n = 9
The numbers in the set s are 9-digit long.
Answer: 1.2 m
Step-by-step explanation:
Given
The length of the ramp to the building is 3.7 m
Distance from the beginning of the ramp to the base of the building is 3.5 m.
Suppose h is the height of the ramp
from the figure, we can write
So, the height of the ramp is 1.2 m
