ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages

Answers

Answer 1

x   -  Ram's age now

Ram is half his father's age now, so his father's age is two times Ram's age:

2x  - Ram's father age now

x - 10   -  Ram's age ten years ago

2x - 10    - Ram's father age ten years ago

ten years ago he was one third his father's age so his father's age was three times Ram's age:

2x - 10 = 3•(x - 10)

2x - 10 = 3x - 30

-10 + 30 = 3x - 2x

20 = x

2x = 2•20 = 40

Answer:

Ram is 20 years old now, Ram's father is 40 years old now.


Related Questions

what is the quotient of 3 and y? Is it 3 over y or y over 3?

Answers

Answer:

it is 3/y.

Step-by-step explanation:

the answer is 3/y because 3 comes before y in the question.

Martha types a 4−digit code into a keypad to unlock her car doors. The code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly two 1's? Enter your answer as a simplified fraction.

The probability of getting two 1's is_________.

Answers

Answer:

3/8

Step-by-step explanation:

1. We list all codes that start with 0 and have 0 as second digit:

2. We list all codes that start with 0 and have 1 as second digit:

3. We list all codes that start with 1 and have 0 as second digit:

4. We list all codes that start with 1 and have 1 as second digit:

5. We find the number of codes which have exactly 2 zeros: 6 codes

6. The total number of outcomes is: 16 codes

7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8

Answer:

The probability of getting two 1's is 3/8

Step-by-step explanation:

Martha types a 4−digit code into a keypad to unlock her car doors.

The code uses the numbers 1 and 0

So the sample space of all the possible combinations is given by

1. 0 0 0 0

2. 0 0 0 1

3. 0 0 1 0

4. 0 0 1 1

5. 0 1 0 0

6. 0 1 0 1

7. 0 1 1 0

8. 0 1 1 1

9. 1 0 0 0

10. 1 0 0 1

11. 1 0 1 0

12. 1 0 1 1

13. 1 1 0 0

14. 1 1 0 1

15. 1 1 1 0

16. 1 1 1 1

So there are total 16 possible outcomes.

Now count the number of combinations that has exactly two 1's

4. 0 0 1 1

6. 0 1 0 1

7. 0 1 1 0

10. 1 0 0 1

11. 1 0 1 0

13. 1 1 0 0

So there are 6 possible outcomes with exactly two 1's

The required probability is

P(two 1's) = Number of outcomes with two 1's/Total number of outcomes

P(two 1's) = 6/16

P(two 1's) = 3/8

Therefore, the probability of getting two 1's is 3/8

Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?

Answers

Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Answer:

So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2

Step-by-step explanation:

Which of the following best describes the figure?

Answers

Answer:

a concave polygon

Step-by-step explanation:

It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)

Multiply
X2 + 4x + 2
2x2 + 3x - 4
A. 2x4 + 11x3 + 12x2 - 10x - 8
B. 3x2 + 7x-2
C. 2x4 + 23x2 - 10x - 8
D. 2x4 + 12x2 - 8

Answers

the answer is A. 2x^2+11x^3+12x^2-10x-8

If f (x) = 4x-3, what is f (x)?
Picture is the options

Answers

Answer:

I think it is option C, 3-4x

If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)? a.)(f + g)(x)≥3 for all values of x b.)(f + g)(x) ≤ 3 for all values of x c.)(f + g)(x) ≤ 6 for all values of x d.)(f + g)(x) ≥6 for all values of x

Answers

Answer:

Answer (a)

Step-by-step explanation:

(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.

Since |x| cannot be less than zero, the range of this composite function

(f + g)(x) = |x| + 3 is [3, infinity).  That is, the smallest value is 3.  This corresponds to Answer (a).

Can you help me please!!✌✌

Answers

Answer:

15 dogs

12 cats

Step-by-step explanation:

Let's call the number of cats c, and the number of dogs d.

4d=5c

c+d=27

4c+4d=108

4c+5c=108

9c=108

c=12

d=27-12=15

Hope this helps!

Answer:

15 dogs and 12 cats

Step-by-step explanation:

You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.

4:5 (*3)

12:15

If AB = 10, BD = 5, and DE= 12, what is the length of BC?

Answers

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

Data

AB = 10BD = 5DE= 12Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

The length of BC is 8 units.

The given figure is image 1.

From the image: AD = AB + BD = 10 + 5 = 15.

From the image triangle ABC and ADE are similar.

So their sides will be in the same ratio.

[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]

Learn more: https://brainly.com/question/13769924

Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.

Answers

Answer:

105= 7x or 7x=105 x=15

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

HELP PLEASE!!! I don't have a lot of time, please help!!!

Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.

f relates each student in Mr. Well's history class to their score on a final exam.

Answers

Answer:

Step-by-step explanation:

It is a function, since each student gets only one score one final exam,]

Domain is each student,

the first to last

Range is the score each student got:

(however the scoring was made)

f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.

Answer:

The domain of f is 'the students in Mr. Well's history class'

The range of f is 'the final exam scores'

f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'


There are 2200 students in a school. 52.5% of them are male. How many are female?

Answers

___________________________________

Total number of students=2200

Total percent of male=52.5%

Total percent of female=100%-52.5%

=47.5%

Total number of female= 47.5% of 2200

=47.5/100*2200

=1045

So the total number of female is 1045

hope it helps

Good luck on your assignment

________________________________

Answer:

[tex]1045[/tex]

Step-by-step explanation:

[tex]no. \: \: of \: \: students = 2200[/tex]

First let's find the percentage of female.

[tex]100\% - 52.5\% = 47.5\%[/tex]

So now let's find how many female students are there in the class

[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

How did you figure out the number of windows on 10 floors?

Answers

Answer:

There are 40 windows on the 10th floor

Step-by-step explanation:

Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.

What is the vertex? *
y = (x - 1)² – 2
O (-2,-1)
O (-2,1)
O (1-2)
O (-1,-2)

Answers

In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.

therefore answer is (1,-2)

10.1 Populations and Samples
1. A company uses a computer to identify their 600 most loyal customers
from its database and then surveys those customers to find out how
10.2 Making Inferences from a Random Sample
2. A university has 30,330 students. In a random sample of 270 students,
18 speak three or more languages. Predict the number of students
at the university who speak three or more languages.
10.3 Generating Random Samples
A store receives a shipment of 5,000 MP3 players. In a previous shipment
numbers 1 through 300 represent defective MP3 players, and the numbers
numbers to simulate a random sample of this shipment. The clerk lets the
301 through 5,000 represent working MP3 players. The results are given.
13 2,195 3,873 525 900 167 1,094 1,472 7095,000
they like their service. Identify the population and determine whether
of 5,000 MP3 players, 300 were defective. A store clerk generates random
3. Based on the sample, how many of the MP3 players might the clerk
4. Can the manufacturer assume the prediction is valid? Explain.
5. How can you use random samples to solve real-world problems?
the sample is random or biased,
predict would be defective?
ESSENTIAL QUESTION

Answers

I think you can multiply how many are defective in a sample by how much more stuff there is

Answer:

I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.

Step-by-step explanation:

1.(Please,I cannot understand it .I think it is incomplete.)

2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.

3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.

4.No, the manufacturer cannot assume the prediction is valid.

The sample size of 10 is too small compared to the size of the shipment.

5.You can use random samples by using them for graphs which numbers are too big.

Fill in the blank with the appropriate angle:
Given: AB and CD, transversal EF
∠BGH and _____ are same side interior

Answers

Answer:

∠DHG

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

Help please fast please

Answers

Answer:

<

Step-by-step explanation:

89835000000*10^-7 = 8983.5

8.9835*10^5= 898350

8983.5 < 898350

Answer:

<

Step-by-step explanation:

Simplify each of the numbers

89835000000 x 10^-7 = 8983.5

8.9835 x 10^5 = 89835

89835000000 x 10^-7 < 8.9835 x 10^5

D = -3/2
-D = ?
What does -D equal?

Answers

Answer:

Negative

Step-by-step explanation:

D has the exact same value but

this time it the other way so your answer

should be -D = 3/2

14. Compare the graph below to the function

Answers

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = [tex]\sqrt{x}[/tex]

When translated by 3 units left,

f(x + 3) = [tex]\sqrt{(x+3)}[/tex]

g(x) = [tex]\sqrt{(x+3)}[/tex]

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = [tex]k\sqrt{(x+3)}[/tex]

Since a point (1, 4) passes lies on the transformed function.

g'(1) = [tex]k\sqrt{(1+3)}[/tex]

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.

For this graph, Mark the statements that are true.

Answers

A is the correct answer

The diameter of the Sun is about 1.4 x 10 to the 6th power km. The diameter of Earth is about 13,000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of the Earth?

A. 1.08 x 10 to the 2nd power
B. 9.2 x 10 to the power of -3
C. 1.08 x 10 to the 3rd power
D. 9.2 x 10 to the 2nd power

Answers

Answer:

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Step-by-step explanation:

In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,

[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]

The ratio is given by the Sun's diameter divided by the Earth's, as shown below:

[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?

plz help me

Answers

Answer:

(1-20%)x or (1-0.2)x or x-0.2x

Step-by-step explanation:

Can someone plzz help me on thiss!

Answers

Answer:

A

Step-by-step explanation:

because it goes up constantly by 12

Can someone help me ASAP

Answers

Answer:

36 ft.

Step-by-step explanation:

Use the Pythagoras Theorem.

h^2 = 10^2 + 24^2

h^2 = 676

h = √676

h = 26 ft.

Original height = 10+26 = 36 ft.

Answer:

D. 36 ft

Step-by-step explanation:

the TRee form with the ground a right triangle

let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:

now ,using the Pythagorean theorem we get :

upper part = √(10²+24²)

                 = 26

then

the original height of the tree

= 10 + 26

= 36 ft

can somebody explain an easier way to do it

Answers

Answer:

4 to 1

Step-by-step explanation:

For herself alone, she uses a ratio of

8 tablespoons of cocoa to 2 tablespoons of sugar

The ratio is

8 to 2

We divide both numbers by 2 to get the simplified ratio

4 to 1

For two, she doubles the recipe, so she uses the ratio

16 tablespoons of cocoa to 4 tablespoons of sugar

The ratio is

16 to 4

We divide both numbers by 4 to get the simplified ratio

4 to 1

Find the value of T when T = 2U + 4V when U = 4 and V = -5

Please help

Answers

________________________________

Hey!!!

Solution,

U=4

V=-5

Now,

T=2U+4V

=2*4+4*(-5)

=8+(-20)

=8-20

=-12

So the value of T is -12.

hope it helps

Good luck on your assignment

_____________________________

Answer: -12

Explanation:
2x4=8
4x-5=-20
8+-20=-12

The volume of a cone is 201.92 cubic units. If a cylinder has the same height and radius as a cone what is it’s volume in cubic units?

Answers

Answer:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

201.92×3

Step-by-step explanation:

Answer:

Anwser is (B)

Step-by-step explanation:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
It’s not 17 or 1.8 I have tried and those are wrong

Answers

Answer: 122 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of depression, the opposite side is the height of the window above the ground, and the adjacent side (x) is the distance between the neighbor's fence and the house.

Replacing with the values given:  

Tan 7 = 15/x

x = 15/tan 7

x = 122 ft

Feel free to ask for more if needed or if you did not understand something.  

PLZ HELP GUYS I RLLY NEED HELPPP!
i rlly rlly rlly need help, i am not good at mathh! :(((((((((

Answers

Answer:

1`. y = 4x+6

2. y = -6x + 29

3. y= 3x+1

4. y = x -2

5. y = 11.5x+ 3

6. y = -2x -4

Step-by-step explanation:

Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.



O (2, -1) satisfies the inequality, but (- 4, 2) does not.
Both (2, -1) and (-4, 2) satisfy the inequality.
(-4,2) satisfies the inequality, but (2, - 1) does not.
Neither (2, - 1) nor (- 4,2) satisfies the inequality.

Answers

Answer:

Both

Step-by-step explanation:

The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

(2, - 1) and (-4, 2) and inequality 2x – 3y > 4

Now, (2, -1)

2(2) - 3(-1)

4 + 3

7>4

and, take (-4, 2)

2(-4) - 3(2)

= -8 -6

= -14 < 4

Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.

Learn more about Inequality here:

https://brainly.com/question/28823603

#SPJ5

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