Total number of wheels in the toy shop = 37 wheels
Number of wheels for tricycles = 3
Number of wheels for go-carts = 5
- Since the total number of tricycles and go-carts are not given, we solve this question using Assumption.
- Let's assume: We have 4 tricycles and 4 go-carts
(4 x 3) + (4 x 5)
= 12 + 20
= 32 wheels. This assumption is wrong.
- Let's assume: We have 4 tricycles and 5 go-carts
(4 x 3) + (5 x 5)
= 12 + 25
= 37 wheels. This assumption is correct.
Therefore, we have 4 tricycles and 5 go-carts in the toy shop.
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Answer:
Step-by-step explanation:
The distance that you travelled in your hummer between Olympia and Spokane is 319.4 miles.
You fill up your gas tank with 28.68 gallons of premium gasoline that costs $2.89 per gallon. This means that the total cost of premium gasoline that you bought would be
2.89 × 28.68 = $82.8852
your gas mileage in miles per gallon is 319.4/28.68 = 11.14 miles per gallon.
Therefore, if it costs $82.8852 to drive 319.4 miles,
then the cost of just one mile in your hummer would be
82.8852/319.4 = $0.26 per mile.
Answer:
5
Step-by-step explanation:
Answer:
b. 
Step-by-step explanation:
Given expression is:

Let us factorize the numerator using the formula:


Since x ≠ 3, let us cancel the common factor x - 3 in the numerator and in the denominator.
So, 
Given a series, the ratio test implies finding the following limit:

If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:

Then the limit is:

We can simplify the expressions inside the absolute value:

Since none of the terms inside the absolute value can be negative we can write this with out it:

Now let's re-writte n/(n+1):

Then the limit we have to find is:

Note that the limit of 1/n when n tends to infinite is 0 so we get:

So from the test ratio r=0.4 and the series converges. Then the answer is the second option.