Sue is 15 years older than Mike. in 5 years mikes’s age will be ½ sue’s age. What is the present age of each?

Show work!!!!

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Sue in 5 years would 20, meaning Mike would be 10. Subtract 5 from Mike to get their current age.

Answer 2

Answer:

Mike= 10 years old

Sue= 25 years old

Step-by-step explanation:

Let the present age of Sue be s years old, while that of Mike be m years old.

Present

s= m +15 -----(1)

In 5 years

Sue's age= s +5

Mike's age= m +5

Given that Mike would be ½ of Sue's age in 5 years,

m +5= ½(s +5)

Multiply both sides by 2:

2(m +5)= s +5

Expand:

2m +10= s +5

2m +10 -5= s

s= 2m +5 -----(2)

Substitute (1) into (2):

m +15= 2m +5

2m -m= 15 -5

m= 10

Substitute m= 10 into (1):

s= 10 +15

s= 25

Thus, the present age of Mike is 10 years old and the present age of Sue is 25 years old.


Related Questions

Your friend Sam wants to paint her room. She wants to paint the ceiling
white and the four walls purple.
You are helping Sam determine the cost and the amount of time needed to
paint her room.
The room is shaped like a rectangular prism with a height of 8 feet, length of
12 feet, and width of 10 feet as shown.

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one hundred and twenty approximately

34.607 to the nearest whole number

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I know the answer is 35

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Answer:

45 degree

Step-by-step explanation:

Which expression is equivalent to 13 22b

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The answer is A, I know those link people get so annoying.

Tank is a car salesman at EH Auto Dealer. The data below
shows how many cars he sold in each of the last nine
months.
29 30 29
29 31 28
28 31 28
Using this data, create a frequency table.
Number of cars sold
Number of months
28
29
30

Answers

Answer:

[tex]\begin{array}{cc}{Cars} & {Months} & {28} & {3} & {29} & {3} & {30} & {1} & {31} & {2} \ \end{array}[/tex]

Step-by-step explanation:

Given

Data:

[tex]29\ 30\ 29[/tex]

[tex]29\ 31\ 28[/tex]

[tex]28\ 31\ 28[/tex]

Required

Construct a frequency table

From the given data, we have:

28 occurs 3 times

29 occurs 3 times

30 occurs 1 time

31 occur 2 times

Hence, the frequency table is:

[tex]\begin{array}{cc}{Cars} & {Months} & {28} & {3} & {29} & {3} & {30} & {1} & {31} & {2} \ \end{array}[/tex]

Answer:

Hope it helps! follow me!  brainliest! Peace out!

Step-by-step explanation:

Cars:      months:

28           3

29           3

30           1

31            2

martin has read ​20% of a book. He has 8 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

10 pages are in the page if im correct

im totataly lost:( (needs help)

Answers

Answer:

B)All the real numbers

Step-by-step explanation:

the given Graph is Parabola

so the function has to be quadratic

we know that the domain of a quadratic function is always [tex]x\in\mathbb{R}[/tex]

hence, our answer is B

82,78,86,82,94,84,90.What is the mode

Answers

the mode will be 82!! hope this helps

Answer:

82 ☺️

Step-by-step explanation:

what is the mx of a slope of -1 and a y-intercept of 4

Answers

y=-1x+4

---

hope it helps

sorry I had no idea how to explain

Point S is on line segment RT. Given ST=3 and RT=20, determine the length RS.

Answers

Answer:

RS = 17

Step-by-step explanation:

Given S lies on RT , then

RS + ST = RT , that is

RS + 3 = 20 ( subtract 3 from both sides )

RS = 17

Find the surface area of a square pyramid with side length 6 mi and slant height 7 mi.

Answers

Answer:

total surface area (TSA) = [tex]2bs[/tex] + [tex]b^{2}[/tex]

                      length      = 6 mi

                    slant height = 7 mi

           ∴ TSA                   = 2 × 6 × 7 + [tex]6^{2}[/tex]

                                       = 84 + 36

                                      = 120

The surface area of the square pyramid is 120 sq. mi.

Given:

side length (s) = 6 mi

slant height (l) = 7 mi

*image of a typical square pyramid is shown in the attachment below.

Recall:

Formula for surface area of square pyramid (SA) = [tex]A + \frac{1}{2} Pl[/tex]

Where,

[tex]A =[/tex] area of the base = [tex]s^2 = 6^2 = 36[/tex] sq mi

[tex]P =[/tex] perimeter of the base = [tex]4(s) = 4\times 6 = 24[/tex] mi

[tex]l =[/tex] slant height = 7 mi

Plug in the values

[tex]SA = 36 + \frac{1}{2}\times 24\times 7\\SA = 36 +84\\SA = 120[/tex]

The surface area(SA) of the square pyramid is 120 sq. mi

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Describe a situation that can be represented by the integer - 6

Answers

Answer:

One Chilly Night, Elijah Was Sleeping but Then Woke Up. He Realized It Was 45 Degrees According To the AC Monitor, So He Changed it To 70 Degrees But The Monitor Broke And Changed to -6 DEGREES!!

Step-by-step explanation:

A situation that can be represented by the integer - 6 was envisaged.

What are integers?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

One day maths teacher decided to take a random test

There were 16 questions each of 4 marks and 1 mark deduction for each wrong answer, with no penalties for non-attempt.

David was so good at guessing. He guessed all the 16 answers out of which 2 were correct and 14 were incorrect.

So, the total marks that David got = 4(2)-1(14) = 8-14 =-6

Thus, a situation that can be represented by the integer - 6 was envisaged.

To get more about integers visit:

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Bart designed a logo using circles of different sizes. The diameters of three of the circles are

shown. Which measurement is closest to the area of the largest circle in square centimeters?

A 20.7 cm2

B 136.8 cm2

C 34.2 cm2

D 65.1 cm

Answers

Answer:

B 136.8 cm²

Step-by-step explanation:

Add the diameters of the three smaller circles to find the diameter of the largest circle.

D = 3 cm + 2.5 cm + 1.1 cm = 6.6 cm

area = πr²

area = 3.14 × (6.6 cm)²

area = 136.8 cm²

add the following fraction give me the answer in lowest terms and mixed numbers if necessary. 10/12 +1/2 =

Answers

Answer:

[tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

hurry !!!! I need help​

Answers

Answer:

x = 66

Step-by-step explanation:

m<5 + m<6 = 180

2x + 48 = 180

2x = 132

x = 66

This is a 3rd grade math question. I don't know how to explain it to a 9yr old

Answers

this is 3rd grade math? jesus..

Answer:

that poor 3rd grader O.O that is hard

Step-by-step explanation:

online

3-6 x (34 divided by 30)2

Answers

Answer:

3-6

Step-by-step explanation:

The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².

To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:

First, let's simplify the exponent expressions within the parentheses:

3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)

3⁰ = 1 (because any number raised to the power of 0 is 1)

Now, we can rewrite the expression with the simplified exponents:

3⁻⁶ × (81 ÷ 1)²

Next, simplify the division within the parentheses:

81 ÷ 1 = 81

Now, the expression becomes:

3⁻⁶ × 81²

Simplify the exponent:

81² = 6561 (because 81 × 81 = 6561)

Now, the expression becomes:

3⁻⁶ × 6561

1/729 × 6561

6561/729

dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:

729/81

We get 9 which is equal to 3².

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Which equation represents the line that passes through the point (3, –1) and is perpendicular to the graph of x + 4y = 10?

Answers

Answer:

y=6x+7

Step-by-step explanation:

Which of the following
represents 9!
A. 9
B. 9*8*7*6*5*4*3*2*1
C. 9+8+7+6+5+4+3+2+1

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The answer is B. Btw don’t click on the link provided by the other answer provider it’s a virus.

There is a 20% sale on in Topshop. The bag I want is now £60. What was the original cost of my bag?

Answers

Answer:

£75

Step-by-step explanation:

Current value= 80

previous value= 100

current value 1

previous value = 100/80

current value-  £60

previous value 100x60/80

=6000/80

= £75

plz  mark me as brainliest.

I think 75 is the right ans

Graph the function f(x) = 2x. Which features are correctly stated?




A) x-intercept: none



B) y-intercept: (0, 2)



C) asymptote: x = 0



D) as x → ∞, f(x) → ∞



E) as x → −∞, f(x) → 0

Answers

Answer:

a, d, e

Step-by-step explanation:

on usatestprep

The features of the function are given as follows:

Horizontal asymptote: y = 5.

Vertical asymptote: x = 2.

x-intercept: No x-intercept.

y-intercept: (0,-5).

Hole: No holes.

What are the features of the function?

The horizontal asymptote is the limit of f(x) as x goes to infinity. To obtain this limit, we consider only the terms with the highest exponent of the numerator and of the denominator, hence:

here, we have,

g(x) = -5x/x -> y = 5 is the horizontal asymptote.

The vertical asymptote is the value of x for which the function is not defined, hence it is the zero of the denominator, thus:

x - 2 = 0 -> x = 2.

The x-intercept is the point (x,0), in which x is found when y = 0, hence:

-5x + 10 = 0

-5x = -10

5x = 10

x = 2.

However, the function is not defined at x = 2, meaning that it has no x-intercept.

The y-intercept is the value of y when x = 0, hence:

y = 10/-2 = -5.

The coordinates are (0,-5).

The entire function can be simplified as follows:

(-5x + 10)/(x - 2) = [-5(x - 2)]/(x - 2) = -5.

Meaning that the function has no holes.

More can be learned about functions at

brainly.com/question/24808124

#SPJ2

complete question:

Determine each feature of the graph of the given function.

f(x) = -5+10

2

Horizontal Asymptote: y =

Vertical Asymptote: x =

x-Intercept:

y-Intercept: (0,

Hole: (

,0)

No horizontal asymptote

No vertical asymptote

No x-intercept

No y-intercept

No hole

What is the equation in point-slope form of the line passing through (0,5) and (-2, 11)?
Oy-5=-3(x + 2)
Oy-5= 3(x + 2)
Oy - 11 = -3(x - 2)
Oy - 11 = -3(x + 2)

Answers

Answer: y-11 = -3(x+2)

What is the median for the following data set? 5,7,9,11,13,13

A. 10
B. 8
C. 9
D. 11

Answers

The answer is C.9 because 9+4=13 and 9-4=5 hope this helps

Tbh you can guess for the fractions

Answers

Answer:

4:1 ratio

Sugar: 1 cup

Butter: 3/4 cups

Eggs: 2

Baking powder: 3/8 tsp

Flour: 5/8 tsp (you need way more flour for cookies)

Salt: 1/8 tsp (original # was hard to make out but I think it was 1/2 tsp)

2
John, 25, just started contributing to his employer's 401(k) plan and started an IRA account. He is choosing to invest only in bonds and secure
Investments instead of high-risk stocks. Is John pursuing a wise investment strategy?
Select the best answer from the choices provided.
O A Yes; retirement Income should be protected from turmoil in the stock market.
OB. Yes; as john gets closer to retirement, he can switch to higher yielding stocks.
OC. No; young investors can afford more risk since they have time to recover from any sudden loses.
OD
No; bonds and safe investments are not part of good retirement plans.

Answers

Answer:

I think its C

Step-by-step explanation:

40 students where has their favorite shoe color
how many chose blue?

Answers

Answer:

8 students

Step-by-step explanation:

There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.

Please mark as Brainliest.

⚡✨

what is the:
axis of symmetry?
vertex?
Domain?
range?
x-intercepts?
y-intercept?
maximum or minimum?




Answers

Answer:

axis of symm:  x = -1

vertex:  (-1, -4)

domain:  all real numbers

range:  y ≥ -4

x-intercepts:  1, 3

y-intercept:  -3

minimum at (-1, -4)

Step-by-step explanation:

Statements apply to the expression 8^3 ?check all that apply

Answers

Answer: So, 8%3 = 2

Step-by-step explanation:

write solutions to the systems of inequalities that should lie on the double- shade region​

Answers

Answer:

(1,1) (2,2) (1,2) (1,5) (4,4) (4,5)

there are a lot more but those are some.

Step-by-step explanation:

What is the value of f(x) = 4x -9

Answers

Answer:

F= 1 /4 y+ 9 /4

Step-by-step explanation:

brainliest?

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