(6/13)/(6/12)= (6/13)*(12/6)= 12/13
This rule for division applies to all fraction divisions
Answer:
DWWDDWDWDAWDWDAWD
Step-by-step explanation:
WDWDAWDDAWD AWDDAWD
Answer:
1/6 yard of felt
Step-by-step explanation:
Su Ling started with one yard, and she used 5/6 of it, which means five-sixths of the yard of felt get taken away. Now you have the last sixth of the yard left over - 1/6 of a yard of felt. One equals six sixths, so here's the math -
1yd = 6/6 yd
6/6 yd - 5/6 yd = 1/6 yd
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
Answer:
7.96 × 10⁸ kg
Step-by-step explanation:
Step 1: Given data
- Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kg
- Mass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kg
Step 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower
To determine this ratio, we need to do the following subtraction.
mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg
The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.
