Father is four times the age of his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years, how many times he would be of his daughter's age?

Answers

Answer 1

Answer:

The father is 40 years old, and his daughter is 10 years old.

Step-by-step explanation:

Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:

F = 4D

F + 5 = 3D

F = 40

D = 10

40 + 5 = 3 x (10 + 5)

45 = 45

Therefore, the father is 40 years old, and his daughter is 10 years old.


Related Questions

Please help i do not understand this question!

Answers

Answer:

Distributive property

Step-by-step explanation:

The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.

Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST?

Answers

Answer:

[tex]ST = 6cm[/tex]

Step-by-step explanation:

Given

[tex]RS =2x[/tex]

[tex]ST = 3x[/tex]

[tex]RT = 10[/tex]

Required

Find ST

From the question, we understand that S is between R and T.

So:

[tex]RS + ST = RT[/tex]

Substitute known values

[tex]2x + 3x = 10[/tex]

[tex]5x =10[/tex]

Divide both sides by 5

[tex]x =2[/tex]

Given that:

[tex]ST = 3x[/tex]

[tex]ST = 3 * 2[/tex]

[tex]ST = 6cm[/tex]

Answer:

C or 6 centimeters

Step-by-step explanation:

In the picture below, which lines are lines of symmetry for the figure?

Answers

C . Only 4 …………………….

A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?

Answers

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse​

Answers

Answer:

C=(9F-32)/5

inverse​:

Step-by-step explanation:

Which math expression means "the product of 16 and 26"?
16 +26
O 16.26
15 - 26
26-16

Answers

Answer:

The product of 16 and 26 would be 16 * 26

Step-by-step explanation:

This is because "the product of" means multiplication so *. Making it 16 * 26.

Type the correct answer in the box. If necessary, use / for the fraction bar.

Answers

5/50 step-by-step explanation:

f(x)=-2(3)(3)+3(3)-8

Answers

Answer:

-17

Step-by-step explanation:

-2(3) = -6

-6(3) = -18

3(3) = 9

-18+9 = -9

-9 - 8 = -17

Please ignore what was already selected

Answers

Answer: Option 4

CE/DE

Explanation:

Sin = Opposite/Hypotenuse

In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE

so sinD = CE/DE

Must click thanks and mark brainliest

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD about point P Is this dilation a reduction or an enlargement? O reduction enlargement​

Answers

Answer: reduction

Step-by-step explanation:

ABCD-> 'ABCD

its bc 'ABCD got smaller compared to ABCD

Answer:

It is a reduction.

Step-by-step explanation:

Hope this helped.

I need help with Trigonometric Ration

Answers

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.  

The trigonometry ratios for a specific angle ‘θ’ is given below:

Trigonometric Ratios

Sin θ Opposite Side to θ/Hypotenuse

Cos θ Adjacent Side to θ/Hypotenuse

Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ

Cot θ Adjacent Side/Opposite Side & 1/tan θ

Sec θ Hypotenuse/Adjacent Side & 1/cos θ

Cosec θ Hypotenuse/Opposite Side & 1/sin θ

Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out trigonometric functions to learn about each of these ratios or functions in detail.Trigonometric Identities

Definition

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

The three sides of the right triangle are:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

x-1 = [tex]\sqrt{x} -1[/tex]

Answers

Answer:

[tex]x = 0[/tex] or [tex]x = 1[/tex].

Step-by-step explanation:

Start by adding [tex]1[/tex] to both sides of this equation:

[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].

[tex]x = \sqrt{x}[/tex].

If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].

Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].

Subtract [tex]x[/tex] from both sides of the equation:

[tex]x^{2} - x = x - x[/tex].

[tex]x^{2} - x = 0[/tex].

Factor [tex]x[/tex] out:

[tex]x\, (x - 1) = 0[/tex].

Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.

In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.

Math Problem

x-1 = \sqrt{x} -1

Math For Solution

#BrainliestBunch

A square has an area of 100 m squared. What is the length of each side?

Answers

Answer:

10m

Step-by-step explanation:

area of a square =s^2

therefore s^2=100

s= under root 100

= 10

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected

Answers

Answer:

[tex]P = 0.1447[/tex]

Step-by-step explanation:

Given

[tex]n = 7000[/tex] -- total

[tex]d = 180[/tex] --- defective

[tex]r = 6[/tex] --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]

[tex]Pr = 0.8553[/tex]

Using the complement rule, the probability that the batch will be rejected is:

[tex]P = 1 - 0.8553[/tex]

[tex]P = 0.1447[/tex]

BRAINLEST IF CORRECT!!!!

Answers

x + 133 = 180

x = 180 - 133 (Linear Pair)

x = 47

Therefore x° = 47°

Answered by Gauthmath must click thanks and mark brainliest

Answer:

47

Step-by-step explanation:

reason: Being sum of supplement angle

lvan earned $8 each time he walks his neighbor's dog. he already walked the dog 5 times.
How many more times does her need to walk the dog to earn enough money to buy a game that costs $88
__? more times

Answers

Answer: 6 more times


Explanation:
Start by finding out that 8x5=40 since he already walked the dog 5x for 8$each

Then you subtract that 40 from 88 and end up with 48

Then you divide that 48 by 8 since that’s the amount of money he makes per walk and end up with

6 walks

You continue to work on a
paper that you started many days ago. If you work from 8:10pm to 9:35pm, find the
measure of the angle, in radians, that the minute hand travelled during this time.
- 510 degrees
- 180 degrees
- 630 degrees
- 210 degrees

Answers

Answer:

510°

Step-by-step explanation:

Total Time from 8:10pm to 9:35pm is 1hour 25mins= 85mins

Movement of the minute hand from one point around the clock and back to the same point gives a complete rotation of 360°

if 60mins = 360°

85mins=

[tex] \frac{85}{60} \times 360[/tex]

= 510 degrees

here is another question can u help.

Answers

Answer:

The answer is (0,2)

Step-by-step explanation:

The second quadrant or Quadrant II has coordinates that are ALL positive.

(my favorite quadrant)

The coordinates would look like (4, 5) or (19, 69) and so on.

Round 31.908 to the nearest tenth.

Answers

Answer:

31.9

Your answer is 31.9.

it's nice helping uhh.

Answer:

31.9

Step-by-step explanation:

To round it to the nearest tenth, look at the hundredths place. Since it is 0, we cannot round up and therefore, the final answer is 31.9.

Find the missing length.

Answers

Answer:

hello,

Step-by-step explanation:

12²=(x-16)*16

9=x-16

x=25

Relation metric in a right triangle

Resuelve el siguiente problema:
•Una hamburguesa y papas contienen 1300 calorías si las
papas contienen
50 calorías más que la hamburguesa. ¿Cuál será las calorías totales de la
hamburguesa y de las papas?

Answers

Answer:

x= Hamburguesa

y=Papas

y=x+50

x+y=1300

x+(x+50)=1300

2x+50=1300

2x=1250

x=625

Calorias de Hamburguesa = 625

Calorias de Papas = 625+50 = 675

What is the length of BC? :(
Enter your answer in the box

Answers

Answer:

BC=22

Step-by-step explanation:

Hi there!

We are given an isosceles triangle (notice the markings on m<C and m<B), the length of the sides AB and AC as x-2 and 2x-24 respectively, and we want to find the length of BC (given as x)

In an isosceles triangle, the sides known as the legs (in this case, AC and AB), are congruent to each other

As they both contain x in their side lengths (remember that x=BC), let's set them equal to each other to find the value of x

2x-24=x-2

Add 24 to both sides

2x=x+22

Subtract x from both sides

x=22

So the length of BC is 22

Hope this helps!

The believe the answer is 22

what is 2/3 divide by 2/9

Answers

Answer:

3

Step-by-step explanation:

(2/3)/(2/9) = (2/3) * (9/2) = 3

Find the missing side. Round it to the nearest tenth

Answers

Answer: 53.6

Explanation:

When given a side and its opposing angle and another angle, to find its opposing side you may use the sine rule.

sin(Angle)/opposing side = sin(Angle)/opposing side

Applying this formula will give us the following:

1) sin90/x = sin66/49
2) 1/x = 0.01864
3) 1/0.01864 = x
4) x ≈ 53.6

Hope this helps, brainliest would be appreciated :)

30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3

Answers

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

Answer:

916.11 ft³

Step-by-step explanation:

can someone please help me out marking brainliest for a good explanation (picture)

Answers

Step-by-step explanation:

9 a = soln

3:9 = 6:n

or, 3/9 = 6/n

or, 3n = 54

or, n = 54/3

so, n = 18

b = soln

n/10 = 6/15

or, 15n = 60

or, n = 60/15

so, n= 4

10) a = 15% of 450

= 15/100 * 450

= 15/10 * 45

or, 15/2 * 9

or,  135/2

= 67.5 g

b= 125% of 60

= 125/100 * 60

= 5/4 * 60

= 5*15

= $75

Find the length of side x in simplest radical form with rational denominator.

Answers

Answer:

sqrt(20)

Step-by-step explanation:

The two perpendicular side lengths are equal, so using Pythagoras theorem:

x = sqrt( sqrt(10)^2 + sqrt(10)^2 )

x = sqrt(10 + 10)

x = sqrt(20)

need help asap today by 5

Answers

Answer:

I put a photo of the answers.

Step-by-step explanation:

For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.

Consider the first month's sales data for the Midwest region.
Select the correct answer from each drop-down menu.

1. 85
2. 15
3. 37
4. 18

1. Significantly different from
2. Relatively close to

1. inconsistent
2. consistent

Answers

Answer:

The correct options are:

1. Significantly different from

1. Inconsistent

Explanation:

Sales Data for Midwest:

Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.

Answer:

In the picture

Step-by-step explanation:

From Plato / Edm

Is 3584 a term of the series 7+14+28+56........?
(please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
(No spam answers or else you'll be reported )​

Answers

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then

[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]

Equate [tex]a_{n}[/tex] to 3584 and solve for n

7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )

[tex]2^{n-1}[/tex] = 512 , that is

[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

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