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Contact [7]
3 years ago
6

One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I wil

l be twice as old as my brother.” How old are they each now?
Mathematics
2 answers:
BARSIC [14]3 years ago
8 0

Answer:

One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.” How old are they each now?

Step-by-step explanation:

Let us suppose two years ago my brother's age was x years

Then, my age was 3x

Three years from now, my brother's age will be (x +2+3) = (x+5) years

And my age will be (3x+2+3) = (3x+5) years

But it is given that i will be twice as old as my brother.

So, 2(x+5)= (3x+5)

or, x= 5 years

So my brother's present age is 5+2= 7 years

And my age is 5*3+2= 17 years

marin [14]3 years ago
6 0
He would have been 17 years of age.
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The aspect ratio of a TV screen is the ratio of the horizontal length to the vertical height. If the TV has a diagonal of 100 cm
Sati [7]

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

3 0
3 years ago
Read 2 more answers
pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with addition
kow [346]

Answer:

200 miles

Step-by-step explanation:

First, set up the equations.

plan 1: initial fee of $55.96, $0.12 per mile

  • y = 0.12x + 55.96

plan 2: initial fee of $63.96, $0.08 per mile

  • y = 0.08x + 63.96

We want to know at what distance will the cost be the same. So, set the equations equal to each other.

0.12x + 55.96 = 0.08x + 63.96

Combine the variables.

0.04x + 55.96 = 63.96

Combine the constants.

0.04x = 8

Divide by 0.04 to isolate x.

x = 200 miles

Check by plugging x back into each equation.

y = 0.12(200) + 55.96

y = 24 + 55.96

y = $79.96

y = 0.08(200) + 63.96

y = 16 + 63.96

y = $79.96

You are correct!

8 0
3 years ago
Suppose $20,000 is invested into an account where interest is compounded semiannually. After 30 years the balance is
denis-greek [22]

Compound Interest Formula: A=P(1+\frac{r}{n})^{nt}

P = initial investment of 20,000

r = interest rate (What we need to find)

n=number of compounding periods per year (Semiannually means twice per year)

A= Amount after t-years

Okay, let's plug it all in.

41,951 = 20000 (1 + r/2)^2(30)  

41,951/20000  = (1 + r/2)^60  

(41,951/20000 )^1/60 = 1 + r/2  

(41,951/20000 )^1/60 - 1 = r/2  

2( (41,951/20000 )^1/60 - 1 ) = r  

0.02484539... = r

0.02484 * 100 = 2.48% rounded to the nearest hundredth of a percent

I hope I've helped! :)

 

6 0
3 years ago
What is an equation of the line that passes through points (4,-8) (-4,2)?
Andreyy89

Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Which of the following circumstances would likely make factoring the best method for solving a quadratic equation?
BabaBlast [244]

Answer:

The correct option is;

B. The difference of 2 perfect squares

Step-by-step explanation:

Solving a quadratic equation using factoring involves finding the factors of the equation that would yield the result of the quadratic equation

In order to find the roots of the quadratic equation, then the result of the factoring must be equal to zero, in which case, the constant terms in the factors are the solutions of the quadratic equation in opposite sign.

For example, we have;

x² - 5² = 11

We subtract 11 from both sides to get;

x² - 5² - 11  = 11 - 11

x² - 36 = 0

x² - 6² = 0

(x - 6) × (x + 6) = 0

Therefore, x = 6 or -6 which are the opposite sign of the constant terms in the factor.

3 0
3 years ago
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