Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?

Answers

Answer 1

Answer:

Age of Mark [tex]=10[/tex] years

Age of Mark's dad [tex]=30[/tex] years

Age of Mark's sister [tex]=8[/tex] years

Step-by-step explanation:

Let age of Mark be [tex]x[/tex] years.

Mark's dad is three times older than Mark

Age of her Mark's dad [tex]=3x[/tex]

Mark's sister is 2 years younger than Mark

Age of Mark's sister [tex]=(x-2)[/tex] years

The sum of their ages is 48.

[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]

Age of Mark [tex]=x=10[/tex] years

Age of Mark's dad [tex]=3x=3(10)=30[/tex] years

Age of Mark's sister [tex]=x-2=10-2=8[/tex] years


Related Questions

What is S=3×9=?


Find the answer then show all work!

Answers

Answer:

S = 3 * 9 = 27

Step-by-step explanation:

S = 3 * 9

S = 27

Step-by-step explanation:

S=3×9=3×3×3=3³=27is youranswer

The question is in the link

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it is answer a , 32, 69, 79

What is 720° converted to radians?

Answers

Answer: The correct answer is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

180 * 4 * π/180 radians

180s cancel out

4π radians

are n/4 and 25n/4 coterminal angles

Answers

yes they are coterminal angles..i hope this helps you

Finding missing angles

Answers

There’s no picture thanks for the points tho

thank for the pint but what is the qestion

1. Find the value of x.
Please I need help now

Answers

Step-by-step explanation:

since it's an Equilateral triangle

180/3=60°

6x=60

x=10°

Help that’s it just help I’ll give brainiest

Answers

Answer:

1725 ft^2

Step-by-step explanation:

[tex]\frac{b_{1} + b_{2}}{2} (h) = \frac{65 + 50}{2} (30) = \frac{115}{2} (30) = 57.5(30) = 1725[/tex]

Brainliest would be appreciated!

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.

12y = 17 - 9x
-4y - 3x = 31

Answers

Step-by-step explanation:

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.

12y = 17 - 9x

-4y - 3x = 31

The volume of gas a balloon can hold varies directly as the cube of its radius. Imagine a balloon with a radius of 4 inches can hold 192 cubic inches of gas. How many cubic inches of gas must be released to reduce the radius down to 3 inches?

Answers

Answer:111

Step-by-step explanation:

Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Answers

Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.

Answer the questions to estimate the probability that the Iceblades will win the game.

1. The paired digits 00 to 99 represent 100 shots.

Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Write your answer in the space below.

2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.

For a group to be a success, how many of the 5 shots does the goalie need to save?

Write your answer in the space below.

3. Group 1 is a success. Explain why.

Write your answer in the space below.

4. In this simulation, which groups are successes? How many successes are there in the 10 groups

Step-by-step explanation:

(Blank)% of 600,000= 120,000

I need to know what blank is​

Answers

Answer:

20%

Step-by-step explanation:

Hope this helps!!!

I have two bags of counters.
The first bag contains two red counters and one blue counter.
The second bag contains one red counter, one blue counter
and two yellow counters.
I take a counter at random from both bags.
b) What is the probability that exactly one of the counters will be red?
Answer as a fraction

Answers

Answer:

7/12 chances of it being red

Step-by-step explanation:

Hope this helped! :)

I NEED HELP ASAP!!!!!!!

Answers

Answer:

9/25 = 36%

Step-by-step explanation:

First add up all of the students (150)

Then divide 54 by 150, 0.36

0.36 = 36% = 9/25

PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEE
solve by graphing
x - 3y = 2
-3x + 9y = -6

Answers

Answer:

This is the graph (NOTE, THEY ARE ON TOP OF EACH OTHER).

Step-by-step explanation:

There are 12 inches in 1 foot. How many inches are in 12 feet?

Answers

Answer:

there are 144 inches in 12 feet.

Answer:

There are 144 inches in 12 feet.

PLEASE HELP DUE VERY SOON!

Answers

Answer:

Yes. (see below)

Step-by-step explanation:

First, find the slope of the line. You can do that by using the slope formula:

      y2 - y1

m = ----------

      x2 - x1

Now, choose any two points from the line to plug in. I'm using the points (0, 3) and (2, 4).

      4 - 3

m = ------

      2 - 0

      1

m = --- = 1/2

      2

Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.

The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.

Now, plug them in:

y = mx + b

y = 1/2x + 3

To see if a specific point is on this line—which, in this case, is (20, 13), plug them in and simplify to see if it's true:

13 = 1/2 (20) + 3

13 = 10 + 3

13 = 13

This is true, so the point (20, 13) is on this line.

Solve this system of equations
y=7x+5
y=x+17

Answers

Answer:

(x, y) = (2, 19)

Step-by-step explanation:

7x + 5=x + 17

x=2

y=7*2+5

y=19

Please give brainlyist

Answer: (2, 19)

Step-by-step explanation:

There are three general ways to solve a system of equations:

- Substitution

- Elimination

- Augmented Matric

Since both given equations all have y isolated, substituting the value of y will be the most appropriate way here.

--------------------------------------------------------------------------------------------------------

Given

y=7x+5

y=x+17

Substitute y into the equations

7x+5=x+17

Subtract 17 on both sides

7x+5-17=x+17-17

7x-12=x

Subtract 7x on both sides

7x-12-7x=x-7x

-12=-6x

Divide -6 on both sides

-12/-6=-6x/-6

x=2

Substitute  value into one of the equations

y=x+17

y=2+17

y=19

(2, 19)

Hope this helps!!

Please let me know if you have any questions

Pls help


Evaluate the expression for v = 0.


5 + 2v =

Answers

Answer:

5

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

5 + 2v =

5 + 2(0) =

5 + 0 =

5

Which of the following is equivalent to 8?
3 to the power of 2
2 to the power of 4
2 to the power of 3
4 to the power of 2

Answers

I know this was already answered but I worked them out for you just in case.

un adulto cuya masa de 8kg camina con una rapidez de 130 cm/s​

Answers

Answer:

if you need distance then

Step-by-step explanation:

speed = distance /time

so

135=x/8

135x8=x

1080=x = distance

HUrRiCAn KatrINa?? MORe liKE?

Answers

Answer:

Step-by-step explanation:

HUrRiCAn PepiNa

Si 8 mesas cuestan $ 600, ¿cuál es el costo de 28 mesas?​

Answers

Answer:

2100

Step-by-step explanation:

Yo ya se

Carmen runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answers

Answer:

4.2 miles

Step-by-step explanation:

6 miles/50 minutes = x miles/35 minutes

1. Since 5 is the GCF (greatest common factor) of x and 35, that is what the ratio must first be converted into, by dividing by 10: 6/50 = 0.6/5

2. To convert this to 35 minutes, it must be multiplied by 7, because 5 * 7 = 35. This leaves us with the answer:

0.6/5 = 4.2 miles/35 minutes

3(2x+1)+2(x-4)
Helpppp

Answers

Answer:

8x+9

Step-by-step explanation:

3(2x+1)+2(x+4)

6x+1+2x+8

8x+9

Answer:

8x-5

Step-by-step explanation:

6x+3+2x-8

You just have to add like values together.

On a coordinate plane, 2 lines intersect at (0, 5).
Complete the statement.

The lines shown in the graph have the same

x-intercept.
y-intercept.
equation.
slope.

Answers

Answer:

y - intercept

Step-by-step explanation:

I took the assignment  

Answer: b

y-intercept.

Step-by-step explanation:

did the assessment

what is 4.059 divided by 1,000

Answers

Answer:

0.004059

Step-by-step explanation:

You can use a calculator and if it comes out in fraction form, press the fraction to decimal button.

Answer:

0.004059

Brainly please

at a summer camp there is one counselor for every 5 campers.

Answers

Answer:

Then if there were 10 campers, there would be 5 counselors

Step-by-step explanation:

For every five campers, there is one counselor. Divide the number of campers by 2 two find how many counselors there are.

Which of the following ordered pairs
make this equation true?
y = 5x
B. (-10,-2)
A. (15,-3)
D. (2, 10)
C, (5, 1)

Answers

Answer:

D

Step-by-step explanation:

To solve this you can just plug in the x values into the equation and if the answer is correct the y value should be your answer

For example if we look at D

we can plug in 2 for y=5x and get 10

We can see that the y value in the ordered pair is also 10 making this the correct answer

kind of hard to explain if you have any questions leave a comment

Answer:

D

Step-by-step explanation:

y= 5x

10= 5(2)

10=10

Can someone solve this?
25^2x-3=125^x+1

Answers

Answer:

im not so sure but here what i got

Step-by-step explanation:

(252)(x)−3=125x+1

125x=625x−4

25^2 * (X-3) = 125^X + 1
125 * (X-3) = 125^X + 1

Please help me! I need to graph this equation but I don't exactly know how.

Answers

Answer:

There would be a y-intercept of one and a slope of -3/4.

Step-by-step explanation:

Negative slope means it will increase going left.

3/4 is the slope 3 rise/ 4 run

the y intercept is 1, so the line will cross the y axis at the 1 point.

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