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Nezavi [6.7K]
3 years ago
8

If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he, how old are they now?\

Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

Step-by-step explanation:

Nick's age = x years

Lina's age =3*x = 3x

After 6 years,

Lina's age = 3x + 6

Nick's age = x + 6

3x + 6 = 2*(x+6)

3x + 6 = 2*x + 2*6

3x + 6 = 2x + 12      {Subtract 6 form both sides}

3x +6 - 6 = 2x + 12 - 6

3x  = 2x + 6    {subtract 2x from both sides}

3x - 2x = 2x + 6 - 2x

x = 6

Nick's age = 6 years

Lina's age =3*6 = 18 years

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Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
Llana [10]

Answer:

  h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

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<h3>f(x)</h3>

The equation is written in vertex form:

  f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

  f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

__

<h3>g(x)</h3>

The given equation can be written in vertex form:

  g(x) = 5x² -10x +7

  g(x) = 5(x² -2x) +7

  g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

  g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

__

<h3>h(x)</h3>

Your problem statement tells us ...

  h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

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<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0
2 years ago
Sadie types 800 words in 16 minutes. What is the unit rate in words per minute?
anyanavicka [17]

Answer:

50 worlds per minute

Step-by-step explanation:

800/16=50

7 0
3 years ago
Read 2 more answers
Im bad at composite figures || please hurry
goldfiish [28.3K]

The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.

The complete question is attached below.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of trapezoid and square.

Then the area of the geometry will be

Area = Area of trapezoid + Area of square

Area = 1/2 x (3 + 9) x 5 + 3 x 3

Area = 30 + 9

Area = 39 square meters

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ1

3 0
2 years ago
Find the future value of 575 at 5.5% compounded quarterly for 5 years. Round to the nearest cent
Readme [11.4K]

Answer:

Future value = $755.61 ( to the nearest cent)

Step-by-step explanation:

The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:

FV = PV (1+\frac{r}{n} )^{n*t}

where:

FV = future value = ???

PV = present value = $575

r = interest rate in decimal = 5.5% = 0.055

n = number of compounding periods per year = quarterly = 4

t = time of investment = 5 years

∴ FV = 575 (1+\frac{0.055}{4} )^{4*5}

FV = 575 (1+0.01375)^{20}\\FV = 575 (1.01375 )^{20}\\FV = 575 * 1.3141\\FV = 755.607

∴ Future value = $755.61 ( to the nearest cent)

4 0
3 years ago
The ratio of men to women working for a company is 5 to  8 . If there are 364 employees total, how many men work for the company
uysha [10]
5 'parts' of the total company staff are men, and 8 'parts' are women.
That's 13 'parts' all together, comprising 364 people.
So each 'part' is 364/13 = 28 people.

Men = 5 'parts' = 5 x 28 = <u>140 men</u>

Women = 8 'parts' = 8 x 28 = <u>224 women</u>

<em><u>Check:</u></em>

140/224 = 70/112 = 35/56 =<em> </em><em>5/8</em>

140 + 224 = <em>364</em>

yay !
3 0
3 years ago
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