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BigorU [14]
3 years ago
5

A local aquarium purchased a new turtle tank for their giant turtle exhibit. What is the volume of the turtle tank?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer:

1440 m³

1200 m³

Step-by-step explanation:

A local aquarium purchased a new turtle tank for their giant turtle exhibit.

If the dimensions of the tank are 15 m by 12 m by 8 m and the tank is of a cuboid shape and its volume is given by, V = (Length) × (Width) × (Height), then the volume of the tank will be

V = 15 × 12 × 8 = 1440 m³.

Again, if the dimensions of the tank are 15 m by 8 m by 10 m, then its volume will be

V = 15 × 8 × 10 = 1200 m³ (Answer)

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Find the smallest positive integer x which is greater than 1 and relatively prime to 120 (recall that relatively prime means tha
Vlad1618 [11]

Answer: 7

Explanation:

List out the factors of 120 until we hit a gap

1,2,3,4,5,6,8

Note that 7 is not shown above. We can see that 120/7 = 17.14 approximately meaning that 7 doesn't go evenly into 120. So this is why 7 isn't a factor. Something like 3 is a factor because 120/3 = 40 is a whole number result.

Also, 7 is prime. The only factors of 7 are 1 and itself. This means that 7 and 120 do not have any common factors other than 1. The GCF of 7 and 120 is 1, leading to the two numbers being relatively prime

Side note: The term "coprime" is sometimes used in place of "relatively prime"

7 0
3 years ago
A seller has a house that is 1700 ft^2. The neighborhood comps show the line of best fit to be y=0.074x + 50.48. What is a fair
natita [175]
Let the price for the house be x and the square feet of the house be y,
when the house is 1700 sq ft, y = 1700.

y = 0.074x + 50.48
1700 = 0.074x + 50.48
0.074x = 1700 - 50.48
0.074x = 1649.52
x = 22 290.81 (to the nearest cent)

A fair price for this house would be $22 290.81.
4 0
3 years ago
An island has a popularity of 1500 and is growing at a rate of 3% per year. what will the popularity be after 6 years?
gulaghasi [49]

Step-by-step explanation:

Growth in population each year = 3%(1500)

= 3/100 × 1500

= 3 × 15

= 45

Therefore, the growth in population in 6 years

= 6 × 3%(1500)

= 6 × 45

= 270

Hence, the population after 6 years = 1500 + 270

= 1770

4 0
3 years ago
Liz earns a salary of $2,200 per month, plus a commission of 3% of her sales. She wants to earn at least $2,800 this month. Ente
vagabundo [1.1K]

Answer:

The amount of sales in order to meet her goal must be greater than or equal to $20,000

Step-by-step explanation:

Let

x----> represent the amount of sales Liz will need

we know that

The amount of sales for the month multiplied by the commission rate as a decimal plus the fixed amount must be greater than or equal to $2,800 each month

so

The inequality that represent this situation is

0.03x+2,200\geq 2,800

solve for x

subtract 2,200 both sides

0.03x \geq 2,800-2,200

0.03x \geq 600

divide by 0.03 both sides

x \geq \$20,000

The amount of sales in order to meet her goal must be greater than or equal to $20,000

8 0
3 years ago
What is 9,167.364 in expanded form?
Basile [38]

Answer:

9,000+100+60+7+.3+.06+.004

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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