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damaskus [11]
3 years ago
7

On a scale drawing of a park, the length of a trail is 12 cm from the playground to the pond and 15 cm from the pond to the park

ing lot. If the actual length of the trail from the pond to the parking lot is 60 m, what is the actual length of the trail between the playground and the pond?
Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

The answer is 48 m

Step-by-step explanation:

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Fuseina has ¢40000 to invest.She decides to put part of the money in an account paying 4% interest and the reminder into stocks
Stels [109]

Answer:

The amounts invested in the account = ¢ 18000

and the amount invested in the stock = ¢40000-¢18000= ¢22000.

Step-by-step explanation:

Given that the account paying 4% interest and the stocks paying 6% interest.

Assuming she put ¢ x in the account, so

Income (interest) from the account = 4% of x = ¢ 0.04x...(i)

She has a total of ¢ 40000 to invest, so the remaining amount = ¢(40000-x).

As she put the remaining amount into stock, so

Income (interest) from the stock=6% of (40000-x)=¢(2400-0.06x)...(ii)

As total income from the investment is ¢ 2040, so on adding both the incomes from equations (i) and (ii), we have

2040=0.04x + (2400-0.06x) \\\\\Rightarrow 2040=2400 - 0.02x \\\\\Rightarrow 0.02x = 2400-2040=360 \\\\\Rightarrow x = 360/0.02=18000.

So, the amount invested in the account = ¢ 18000

and the amount invested in the stock = ¢40000-¢18000= ¢22000.

6 0
3 years ago
Lified expression for 2(X-5)?
Marina CMI [18]

Answer:

This, simplified would be 2x-10

8 0
3 years ago
Farmer Jan is a vegetable farmer who divides his field between broccoli crops and spinach crops. Last year, he grew 6 tons of br
ankoles [38]

Answer:

There is no unique solution to this problem.

There are infinitely many solutions to this problem.

Step-by-step explanation:

Let B denotes broccoli crop

Let S denotes spinach crop

Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.

Mathematically,

6B + 9S = 93        eq. 1

This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.

Mathematically,

2B + 3S = 31

2B = 31 -  3S

B = (31 -  3S)/2      eq. 2

Substitute eq. 2 into eq. 1

6B + 9S = 93

6[(31 -  3S)/2] + 9S = 93

3(31 -  3S) + 9S = 93

93 - 9S + 9S = 93

- 9S + 9S = 93 - 93

0 = 0

Therefore, there is no unique solution to this problem.

Which means that there are infinitely many solutions to this problem.

5 0
3 years ago
Write an inequality for the following graph
Tom [10]

Answer:

I am pretty sure it would be B.

7 0
2 years ago
Read 2 more answers
Please help with 2 questions. Thank you.
8_murik_8 [283]

{e}^{ln(anything)}  = anything

so here we have:

{e}^{ln1}  = 1

{e}^{ln5x} = 5x

8 0
3 years ago
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