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Pachacha [2.7K]
2 years ago
9

An aquarium with a square base has no top. There is a metal frame. Glass costs 5 dollars/m2 and the frame costs 2 dollars/m. The

volume is to be 20 m3. Express the total cost ???? in terms of the height ℎ in meters. (Hint: work out the cost of the glass and frame separately.)
Mathematics
1 answer:
adell [148]2 years ago
3 0

Answer:

C = 420/h + 400

Step-by-step explanation:

Let s be the side of the square base.

Let h be the height

Volume = s*h

20 = s*h

s = 20/h

Cost of glass is

5(20/h) + 5(4* h*20/h)

= 100/h + 400

Cost of frame is

2*4(20/h) + 2*4(20/h)

= 160/h + 160/h

= 320/h

Total cost = C

C = cost of glass + cost of frame

C = 100/h + 400 + 320/h

C = 420/h + 400

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
Katarina [22]

Answer:

2x+178\geq 2000

Step-by-step explanation:

Let, the number of cans collected by Shane = x.

So, the number of cans collected by Abha = x + 178.

Since, at least 2000 cans are required to be collected.

Thus, we have the inequality,

Number of cans by Shane + Number of cans by Abha ≥ 2000.

i.e. x+(x+178)\geq 2000

i.e. 2x+178\geq 2000

Thus, the required inequality is 2x+178\geq 2000.

4 0
2 years ago
How do i write 12.009 in a word form?
tia_tia [17]
Your answer will be twelve and nine thousandths because in place value decimals are like tenths, hundredths, thousandths. In place value for regular numbers are ones, tens, hundreds and so on. So, when you have 12.009, you are going to separate the decimals with the numbers. Then, write down the number in words which would be twelve. Now, go to the decimal and write that down, which is 9 thousandths. Finally, combine the both of them to get: twelve and nine thousandths.

Hope this helps :) 
and good luck

5 0
2 years ago
A sample statistic , such as x bar, that estimates the value of the corresponding population parameter is known as
Orlov [11]
A sample statistic , such as x bar, that estimates the value of the corresponding population parameter is known as a control chart.
6 0
2 years ago
mr. john says that a new automobile decreases 37 1/2 of its value the first year. At this rate, how much will the first value of
Allushta [10]

Answer:

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4 0
2 years ago
A total of $150000 is invested in two funds paying 6.25% and 6% simple interest. If the total interest for the year is $9212.50,
Georgia [21]

Answer:

  • $85,000 at 6.25%
  • $65,000 at 6.00%

Step-by-step explanation:

Let x represent the amount invested at 6.25%. Then the total interest earned is ...

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  0.0025x = 212.50 . . . . . . subtract 9000, collect terms

  x = 212.50/0.0025 = 85,000

  150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate

$85,000 is invested at 6.25%; $65,000 is invested at 6%.

3 0
2 years ago
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