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natita [175]
3 years ago
6

3/20 , 3/10 , 9/20 , 3/5 ...

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0
3/20, 6/20, 9/20, 12/20 so the common difference is 3/20, ie each term is 3/20 greater than the term preceding it.  Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number, in this case:

a(n)=3/20+(3/20)(n-1)

a(n)=3/20+3n/20-3/20

a(n)=3n/20 so the 5th term is:

a(4)=3*5/20=15/20=3/4
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Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init
skad [1K]

Answer:

$3

Step-by-step explanation:

Whenever some type of expenditure is made, there are usually 2 types of costs available: the fixed cost and the variable cost. Former is the constant cost which has to be incurred in order to gain the advantage from the expense. Latter is the cost that varies with the duration of the expense. Therefore, total costs (TC) = fixed costs (FC) + variable costs (VC). VC can be expressed as: VC = price per hour (p) * number of hours (h). So the equation becomes TC = FC + p*h. In this question, FC = $43, TC = $64, h = 7 hours, and p is unknown. So plugging in the values give:

64 = 43 + 7p.

Solving the equation for p gives:

p = 21/7. This implies that p = 3.

Therefore, the hourly fee is $3!!!

6 0
3 years ago
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The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 11 fl oz per hour. How f
kenny6666 [7]
He is leaking 2.1 gallons a day
5 0
3 years ago
Zoe's pizza cost $12.99. She gave a tip of $2.00. What percent did Zoe leave as a tip?
Andru [333]

Answer:

Zoe's will leave a 15% percent tip .

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5 0
4 years ago
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How to solve this and what’s the final answer
dolphi86 [110]

Answer:

729 m³

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6 0
4 years ago
You have 2,000 oranges and need to transport them to orangeland to Everett. the trip from orangeland to Everett is 1,000 miles.
alexandr402 [8]
You can't deliver ANY oranges to Everett. The tax for the trip is 1,000 oranges,
and that's also the size of the full load. You only carry enough to pay the tax
along the way, and you arrive at Everett with an empty truck. The only way
you can deliver ANY oranges to Everett would be with a bigger truck, that
can carry more. (But then the tax might also be more for a bigger truck.)

=============================

Well now, wait just a minute.  Don't go away.  I don't know if this
is the greatest possible number, but I know how you can get 500
oranges all the way there.  I have to warn you that this method
does involve considerable risk:

-- Load up with 1,000 oranges.

-- Drive half-way to Everett.  It costs you 500 oranges,
so you have 500 left on the truck.  UNLOAD the truck
right there, by the side of the road, and cover the 500
oranges with grass and leaves so no animals or people
will know that they are there.

-- Return to Orangeland with your empty truck.  That trip
costs you no tax.

-- Load your truck with the remaining 1,000 oranges.

-- Drive halfway to Everett again.  It costs you 500 oranges
in road tax, so you arrive at the halfway point with 500 oranges
still on your truck.

-- Stop at the halfway point.  Search relentlessly for the 500 oranges
that you left there earlier.  Clean them off when you finally find them,
and load them back on your truck.  Your truck is now fully loaded again
with 1,000 oranges.

-- Drive the rest of the way to Everett.  That half of the trip costs another
500 oranges in tax, and you arrive in Everett with 500 oranges.

3 0
3 years ago
Read 2 more answers
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