Solve r=s/17−t for t

In 2002, Tim was twice as old as Sue. In 1997 the sum of their ages was 32. In what year will Sue's age be three-fourths Tim's a

xxMikexx [17]

Answer:

Year 2030.

Step-by-step explanation

In 1997, Let Tim's age = X years

In 1997, Let Sue's age = Y years

After 5 years in 2002, Tim's age = (X+ 5) years

After 5 years in 2002, Sue's age = (Y + 5) years

Now, According to question,

X + Y = 32 (sum of their ages) .......(1)

Y = 32 - X

(X + 5) = 2 (Y + 5) .......(2)

Substituting the value of Y in (2)

X + 5 = 2 (32 - X + 5)

X + 5 = 2 (37 - X )

X + 5 = 74 - 2X

3X = 69

X = 69/3 = 23

Now ∵ Y = 32 - X and X = 23

∴ Y = 32 - 23 = 9

So, In 1997, Tim's age = 23 years and Sue's age = 9 years.

Let the year in which Sue's age will be three-fourth times of Tim's age be t.

Sue's age after t years = (9 + t) years.

Tim's age after t years = (23 + t) years

According to question,

$(9 + t) = \frac{3}{4} \times(23 + t)$

$4 (9 + t) = 3 (23 + t)$

$36 + 4t = 69 + 3t$

$4t - 3t = 69 - 36$

$t = 33$

The Year in which Sue's age will be three-fourth times of Tim's age is:

= (1997 + 33) = 2030.

4 0

3 years ago

If the sin 60 degrees is the square root of 3 over 2 then the cos____degrees =____

Mrac [35]

If Sin 60 = √3 / 2

Then, Cos 60 = ?

Well, we know :

Sin^2x + Cos^2x = 1

Let X = 60°

That is,

Sin^2(60) + Cos^2(60) = 1

(√3 / 2)^2 + Cos^2(60) = 1

3 / 4 + Cos^2(60) = 1

Cos^2(60) = 1 - 3/4

Cos^2(60) = 4/4 - 3/4

Cos^2(60) = (4-3)/4

Cos^2(60) = 1/4

Cos(60) = √(1/4)

Cos(60) = √1 / √4

Cos(60) = 1 / 2

This's answer right to the your question.

6 0

3 years ago

Read 2 more answers

10. EQAO Sam works in Peterborough. Each

Svet_ta [14]

Answer is A, 10.4L per 100km

4 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of t

Setler79 [48]

Answer:

y = -2x - 1

Step-by-step explanation:

y = -2x + b

3 = -2(-2) + b

3 = 4 + b

-1 = b

y = -2x - 1

6 0

3 years ago

In a family’s monthly budget, 2/5 of the income is spend on housing and 1/5 of the income is spent on food. How would you determ

aniked [119]

Answer:

2/5 is left

Step-by-step explanation:

Add the two you have so far together. 2/5+1/5=3/5

So 3/5 of your budget is used. 3/5 is a fraction, meaning that 5 is the whole.

Subtract 3 from 5 and you get 2. There are 2/5 left in the budget for everything else.

5 0

3 years ago