Please help! Giving points!

ill decides to move her fish from a 20 gallon aquarium to a 50 gallon aquarium. She added 3 tablespoons of salt to her old aquar

klemol [59]

In the old aquarium, 3 tablespoons of salt were used for 20 gallons. That's a conversion ratio of

$\dfrac{3\,\rm tbsp}{20\,\rm{gal}}=0.15\,\dfrac{\rm tbsp}{\rm gal}$

That is, for every gallon of water in the aquarium, there was 0.15 tbsp of salt. So a 50 gallon aquarium, Ill should add

$(50\,\rm{gal})\left(0.15\,\dfrac{\rm tbsp}{\rm gal}\right)=7.5\,\rm{tbsp}$

to maintain the salinity.

3 0

2 years ago

Stephen & Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a

horsena [70]

Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

Let the common factor between them be 'x'.

So we can say that;

$2x+3x=2950\\\\5x = 2950$

Dividing both side by 5 we get;

$\frac{5x}{5}=\frac{2950}{5}\\\\x = 590$

So we can say that;

Stephen share would be = $2x =2\times 590 = \£1180$

Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

$3y+5y+2y=1180\\\\10y=1180$

Dividing both side by 10 we get;

$\frac{10y}{10}=\frac{1180}{10}\\\\y=118$

So Stephen's wife share = $5y = 5\times 118= \£590$

And Stephen's son share = $2y=2\times118 =\£236$

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = $590-236 = \£354$

Hence Stephen's wife got £354 more than his son.

3 0

3 years ago

Which table represents a linear function? Please hurry I have to finish this soon!

denis23 [38]

Answer:

C

Step-by-step explanation:

A linear function is the repeating of the same word. Therefore, C would be the correct option. Due to the order 3 9 3 9, this is a linear function. This is just the most logical answer. Please let me know if I am wrong. Sorry if I am :(

6 0

2 years ago

Read 2 more answers

If the graph of f(x) has the point (2,7) then what is one point that will be on the graph of f-1(x)

IRINA_888 [86]

The graph of f^-1 (x) is called the inverse function of f (x). The relationship between the two is that the point (x,y) is on the graph of f (x) if and only if the point (y,x) is on the graph of f^-1 (x).

This means that if the point (2, 7) is on f (x), therefore the point (7, 2) is on f^-1 (x).

Answer: (7, 2)

6 0

3 years ago

Read 2 more answers

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.

Murljashka [212]

Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (−5/8,−41/16)
Focus: (−5/8,−5/2)
Axis of Symmetry: x=−5/8
Directrix: y=−21/8 x. y
−3. 20
−2. 5
−5/8. −41/16
 0. −1
1. 8

3 0

3 years ago