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Bingel [31]
3 years ago
7

A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Answer:

2 meters.

Step-by-step explanation:

We know that a cube of sidelength L has a volume:

V = L^3

Here, we know that the volume of water that the cube can hold is:

(1000/125) m^3

Then the volume of our cube is exactly that:

V = (1000/125) m^3

Then we have the equation:

L^3 = (1000/125) m^3

Which we can solve for L

L = ∛((1000/125) m^3 ) = (∛1000/∛125) m

Where we used that:

∛(a/b) = ∛a/∛b

Solving the cubic roots, we get:

L = (10/5) m = 2m

The length of the side of the water tank is 2 meters.

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An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours
Firdavs [7]

Answer

Find out the  which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be  12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted  from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

n = \frac{50}{12.5}

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate  is 8 hours  and at the night rate is  4hours .

Hence proved



4 0
3 years ago
According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your are
Genrish500 [490]
4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.
3 0
3 years ago
−3(y+5)=15 someone please help me with this question my assignment is already late
AnnyKZ [126]

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

3 0
2 years ago
Find the domain and range
almond37 [142]

Answer:

See answer above.

Step-by-step explanation:

These are the ordered pairs on the graph: (-2, 5), (2, 3), (-3, -2), (0, -5), (3, -6)

The domain is the first point in teach ordered pair and the range is the second number in the ordered pair.

So the domain is {-2, 2 , -3, 0, 3}

Range is {5, 3, -2, -5, -6}

6 0
2 years ago
Solve 7(x + 2) = -49
nata0808 [166]

Answer:

x= -9

Step-by-step explanation:

7(x+2)=-49

divide both sides by 7

(x+2)=-7

subtract 2 from both dies

x= -9

3 0
3 years ago
Read 2 more answers
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