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goldenfox [79]
1 year ago
10

A 50-litre solution is 3 percent salt by volume.

Mathematics
1 answer:
yulyashka [42]1 year ago
5 0

Answer:

E

Step-by-step explanation:

.03(50) + 0x = (50-x).05  How much 3% salt much be added to zero percent salt to create a mixture that is 5 percent salt.

3(50) = (50 - x)5  I multiplied through by 100 to clear the decimals

150 = 250 - 5x  Distribute the 5

-100 = -5x  Subtract 100 from both sides of the equation

20 = x divide both sides by -5

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3 inches in 1 foot is: 1/4
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3 years ago
Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is described by the formula below. C(
Ad libitum [116K]

Answer:

a) The marginal cost function is given by

C'(x) = 4 + 0.04x + 0.0003x² (in dollars)

b) C'(70) = $8.27

Step-by-step explanation:

C(x) = 1000 + 4x + 0.02x² + 0.0001x³

a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.

Mathematically,

MC = (dC/dx) = C'(x)

For this question,

C'(x) = 4 + 0.04x + 0.0003x²

b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.

C'(x) = 4 + 0.04x + 0.0003x²

C'(70) = 4 + 0.04(70) + 0.0003(70²)

C'(70) = $8.27

Hope this helps!

8 0
3 years ago
An Aquarium’s dimensions are 3 1/4 ft x 2 ft x 1 3/4. What is the volume of the Aquarium?
kiruha [24]

Volume = length x width x height

Volume = 3 1/4 x 2 x 1 3/4 = 11 3/8 cubic feet

3 0
2 years ago
Read 2 more answers
In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t
love history [14]

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12.  Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

5 0
3 years ago
HEY YOU!! PLEASE I NEED HELPPP<br><br> find angle BAC and angle FAB
serious [3.7K]

Answer:

m∠BAC = 105°

m∠FAB = 75°

Step-by-step explanation:

By using the property of an exterior angle of a triangle,

Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.

From the triangle given in the picture,

m∠ABC + m∠BCA + m∠CAB = 180°

(13x - 3)° = (3x + 2)° + 55°

13x - 3 = 3x + 57

13x - 3x = 57 + 3

10x = 60

x = 6

m∠FAB = (13x - 3)° = 75°

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Since, ∠BAC and ∠FAB are the linear pair of angles,

m∠BAC + m∠FAB = 180°

m∠BAC + 75° = 180°

m∠BAC = 180° - 75° = 105°

8 0
3 years ago
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