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2 years ago

Mrs.Zomoro is 36 years old and her son is 4.When will the mother be thrice as o old as her son?

Mathematics

1 answer:

Arisa [49]2 years ago

3 0

Answer:

12 years

Step-by-step explanation:

Represent the mother's age by m and the son's by 4. Currently m = 36 years old.

In x years the mother will be three times as old as her son:

mother: 36 + x years old

son: 4 + x years old

The pertinent equation to solve is:

36 + x = 3(4 + x)

Performing the multiplication, we get:

36 + x = 12 + 3x, or

24 = 2x. Then x = 12.

Check: In 12 years, will the mother's age be 3 times the son's age?

Does 36 + 12 = 3(4 + 12)?

Does 48 = 48? YES

The mother will be 3 times as old as her son in 12 years from now.

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3 years ago

Read 2 more answers

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

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3 years ago

How many solutions does this equation have? 6x+5=4x+5

Travka [436]

$:\implies \sf 6x +5 = 4x +5$

$: \implies \sf 6x +5 -4x = 5$

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$:\implies \sf 2x = 0$

$:\implies \sf x = 0$

Seems like "6x+5=4x+5" has only one solution that's 0.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Mrs.Zomoro is 36 years old and her son is 4.When will the mother be thrice as o old as her son?​

Mrs.Zomoro is 36 years old and her son is 4.When will the mother be thrice as o old as her son?