Answer:
87/56
Step-by-step explanation:
Simplify the following:
3/56 + 3/2
Put 3/56 + 3/2 over the common denominator 56. 3/56 + 3/2 = 3/56 + (28×3)/56:
3/56 + (28×3)/56
28×3 = 84:
3/56 + 84/56
3/56 + 84/56 = (3 + 84)/56:
(3 + 84)/56
3 + 84 = 87:
Answer: 87/56
Answer:
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Explanation:
Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:
First night: 1 penny = 2⁰
Second night: 1 × 2 pennies = 2¹
Third night: 2 × 2 = 2²
Fourth nigth: 2² × 2 = 2³
nth night: 2ⁿ⁻¹
You want 2ⁿ⁻¹ ≥ 2,000,000,000
Which you solve in this way:
- n-1 log (2) ≥ log (2,000,000,000)
- n - 1 ≥ log (2,000,000,000) / log (2)
Since n is number of days, it is an integer number, so n ≥ 32.
Hence, she will have a total of more than $ 2 billion after 32 days.
You can prove that by calculating 2³² = 2,147,483,648.
Given:
and 
.
To find:
The relationship between the ratios.
Solution:
We have, two ratios in the fraction form.
and
First ratio =
= 
= (Cancel out the common factors)
First ratio = Second ratio
Since, the both ratios are equal to each other, therefore, the given ratios are equivalent ratios.
Answer:
-3×4ycube z square (-4)×2y3
-12cube z square (-4)×2y3
48ycube z square×2y3
96ycube z square y cube
288y3 (yz)square
I hope you will understand these squares or cubes
(5 cases)/(2 3/8 hour)
(5 cases)/(19/8 hours)
(5*8/19) cases/hour....invert the fraction and multiply 1/(19/8 hour)=(8/19)/hour
40/19 cases/hour
2 2/19 cases/hour
