What is 2/5-3/10 equal to
1 answer:
You might be interested in
Answer:
The new length of the garden is 80 ft, the new width is 40 ft, and the total area of the new garden is 3200 ft². The area of the new garden will be 8 times larger than the current one. Jane should make her garden 4 times the current length.
Step-by-step explanation:
Juan's garden is 40 ft in length, he wishes to make the length 2 times longer:
Juan's garden is 10 ft in width, he wishes to make the width 4 times longer:
With a length of 80 and width of 40, the total area of the garden is
Since Juan wanted to make the length 2 times longer and the width 4 times longer, the total area of the garden will be
larger than the current garden.
Jane wants to make her garden 20 times the size. Since she's making her garden 5 times longer in width, she needs to make the length of her garden
4 times longer.
Answer:
The cardinal number is 12
Step-by-step explanation:
The cardinal number of a set represents the number of distinct elements of the set. That means for this exercise the goal is to identify the total number of elements of the set.
First step. Identifying the elements of the set.
If we look at the sequence 9, 11, 13, ... , 31, we have an arithmetic sequence , so we can start by finding the common difference d.
That means we can pick any 2 consecutive terms and find the subtraction of them, so we can pick for example 9 and 11, thus we get
Second step. Finding the number of terms of the arithmetic sequence.
Now to find the number of elements n of that sequence, we can look at the last number of the sequence on this case it is 31, and we can use the formula for the nth term, that is
Replacing the last term and the initial term
, will give us
From there we can solve for n, by moving first that 9 to the other side.
Then we can divide both sides by 2, and lastly add by 1.
Thus since the sequence has 12 elements, we know that the cardinal number of the set is 12.