A man is 40 years old and his son is 5years old. In how many years will the father be 3 times the age of his son.

Answers

Answer 1

12 1/2 years

Step-by-step explanation:

Let the unknown be n. Then 40+n = 3(5+n).

Performing the multiplication:

40+n = 15+3n

Isolate n and combine the constant terms:

25=2n, so n= 25/2 years


Related Questions

Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?

Answers

Answer:

commutative property of addition.

a sequence of additions can be done in any order and the total remains the same.

Step-by-step explanation:

so, we can actually do

27 + 3 + 15 + 5

and now it is easy to combine 27+3 to 30 and 15+5 to 20, and to make the final calculation of 30 + 20 = 50 in our minds.

CAN SOMEBODY PLEASE HELP MEEEE

Answers

Answer:

105.

Step-by-step explanation:

.

A 0.25 mL sample of water drawn from a 5 liter flask contains 1.25 x 10^8 bacteria. Give the approximate number of bacteria in the flask, expressing your answer in scientific notation.

(Scientific Notation: find a real number a between 1 and 10, and an integer n, such that x = a x 10^n.)

Answers

Answer:

The number of bacteria in 0.25 mL is 6.25 x 10^3.

Step-by-step explanation:

5 liter flask contains 1.25 x 10^8 bacteria.

So, 1liter flask contains = [tex]\frac{1.25 \times 10^8}{5} =2.5\times 10^7[/tex]

Now

0.25 mL contains = [tex]2.5\times 10^7 \times0.25\times 10^{-3} = 6.25\times 10^3[/tex]

Guys I need help!!!

Is (1, 4) a solution to the equation y = 8x − 4?

Answers

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Functions

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 4)

y = 8x - 4

Step 2: Find

Substitute in point [Equation]:                                                                          4 = 8(1) - 4Multiply:                                                                                                             4 = 8 - 4Subtract:                                                                                                            4 = 4

yes.

you just have to check like this: 1 is x and 4 is y.

4 = 8(1) - 4

4 = 8 - 4

4 = 4

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Help Please if you don’t mind

Answers

Answer:

trinomial = 5x

GCF = 2x(x + 5) + 5(x + 5)

Step-by-step explanation:

2x^2 + 15x + 25

using middle term break method

2x^2 + (10 + 5)x + 25

2x^2 + 10x + 5x + 25

therefore trinomial = 2x^2 + 10x + 5x + 25

GCF(Greatest Common Factor) = 2x^2 + 10x + 5x + 25

=2x(x + 5) + 5(x + 5)

take (x + 5 ) as common

(x + 5)(2x + 5)

(x + 5)(5 + 2x)since the sign of 5 and 2x is same i.e plus sign u can change their place.

5^4x+3 ×100^-2x+1=50000​

Answers

Answer:

5^4x+3 ×100^-2x+1=50000

5^4x×100^-2x=49996

isolate the variable by dividing each side by factors that don't contain the variable. Exact Form: x = 8 √ 12499 ,  Decimal Form: x = 894.39141319 …

On Monday, 405 students went on a trip to the zoo. All 7 buses were filled and 6 students had to travel in cars. How many students were in each bus

Answers

Answer:

57 students

Step-by-step explanation:

Since 6 students count not fit and they had to go in cars, there is a remainder of 6. Subtract that from the total, 405, and you get 399.

Then, divide that by 7, and you get the answer. 57.

Hope it helps!

Answer:

57 students

Step-by-step explanation:

405-6=399

399÷7=57

1. Can cross multiplication be used to solve this problem? Why or why not?


HELP

Answers

Answer:

Step-by-step explanation:

Cross multiplication can be used but not in the beginning. First x should be isolated.

[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]

Now subtract [tex]\frac{5}{x}[/tex] from both sides

[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]

In this stage, cross multiplication can be used.

[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]

Answer:

x =0 and x =2/3

Step-by-step explanation:

as is no

but if you put an x under the 3 to make 3x/x

then you'd have 3x+5/x = 7/x

to make

3x^2 + 5x = 7x

this makes

3x^2 -2x =0

using the quadratic formula

answers

x =0 and x =2/3

What is the volume of the pyramid?

Answers

Answer:

[tex]volume=1/3 ~BH[/tex]

[tex]=1/3(16)^{2} \sqrt{17^{2} -8^{2} }[/tex]

[tex]=1/3\times256\times15[/tex]

[tex]=1280 ~ft^{3}[/tex]

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

hope it helps...

have a great day!!

instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.

Given: SAS

Answers

Answer:

please I don't know can u please help me out

Answer:

The answer to your question where SAS is given  

∠T ≈∠ W

All functions have a domain and a range.
True
False

Answers

Answer:

True

Step-by-step explanation:

The definition of the function is a relation with exactly one x for each y. x is the domain, and y is the range, so all functions have a domain and a range.

Given the triangle below, what is mA, rounded to the nearest tenth?

Answers

Answer:

A. 24.2°

Step-by-step explanation:

I'm correct if I'm rwong

HELPPP IM ALMOST DONE WITH THIS CLASS

Answers

Answer: Choice D)  y = cos(2x)

Explanation:

Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.

We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.

Since T = pi is the period, we then know that

B = (2pi)/T

B = (2pi)/(pi)

B = 2

Then recall that the general template is y = Acos(B(x-C))+D

In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)

Evaluate i^15 i^12
Show work

Answers

Answer:  15 = -i & 12=1

use the pattern : i, -1, -i, 1

Step-by-step explanation:

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

[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex]

[tex]i^{3}[/tex] = [tex]\sqrt{-1}[/tex]

[tex]i^{4}[/tex] = [tex]\sqrt{-1}[/tex]

the pattern just repeats from here

5 = i

6 = -1

7 = -i

8  = 1

9 = i

10 = -1

11 = -i

12  = 1

13 = i

14 = -1

15 = -i

16  = 1

Pls help before the clock hits 50 :(


Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: What is the average rate of change from x = -1 to x = 0

Answers

Answer:

-6

Step-by-step explanation:

The area of a rectangle is 35ft^2 , and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

1228 is your answer

Step-by-step explanation:

Which of the following is a radical equation

Answers

Answer:

7[tex]\sqrt{x}[/tex] = 14, D

Step-by-step explanation:

A radical equation is defined by having a variable under a radical sign. This is the only option with a variable (x) under the radical sign. Hence, 7[tex]\sqrt{x}[/tex] = 14 is the correct option.

resolver:
[5+(-3+6)+(-2)]-[(-4+10)+(-3)-(-5)]

Answers

Answer: -2

Just be careful of signs

[ 5 + (3) -2] - [ (6)-3+5]

[6] - [8]

6 - 8

= -2

pls help me in these questions ​

Answers

Answer:

1=85

2=10

3=108

Step-by-step explanation:

Number 1: Calculate each angle...and you know a straight line is 180°. N the interior sum of a quadrilateral is always 360°.

Number2: Use corresponding, alternate and interior angles method. It will help

Number 3: It's just about solving the interior sum of the pentagon

Answer:

2. 10 degrees

3. 108 degrees

Step-by-step explanation:

sorry I reposted it because the previous answer was deleted and plz mark me as a brainliest.

The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4

Answers

Answer:

[tex]q=8.5[/tex]

Step-by-step explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

[tex]\frac{AB}{BC}=\frac{3}{4}[/tex]

Substitute,

[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]

Cross products,

[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]

[tex](60)(4)=(10q+15)(3)\\\\240=30q+45[/tex]

Inverse operations,

[tex]240=30q+45\\\\195=30q\\\\8.5=q[/tex]

How many pairs of intersecting line segments are shown?
A. 4
B. 8
C. 16
D. 24

Answers

Answer:

I believe the answer is 24.

Step-by-step explanation:

hope it helps.

Suppose that X1 and X2 are independent random variables each with a mean μ and a variance σ^2. Compute the mean and variance of Y = 3X1 + X2.

Answers

Mean:

E[Y] = E[3X₁ + X₂]

E[Y] = 3 E[X₁] + E[X₂]

E[Y] = 3µ + µ

E[Y] = 4µ

Variance:

Var[Y] = Var[3X₁ + X₂]

Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]

(the covariance is 0 since X₁ and X₂ are independent)

Var[Y] = 9 Var[X₁] + Var[X₂]

Var[Y] = 9σ² + σ²

Var[Y] = 10σ²

Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answers

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 [tex]mm^3[/tex]

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 [tex]mm^3[/tex]

We know the volume of a cylinder is given by V = [tex]$\pi r^2 h$[/tex]

where, r is the radius of the cylinder

            h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = [tex]$\frac{6}{4}$[/tex]

                                          [tex]$=\frac{3}{2}$[/tex]

Area scale factor [tex]$=\left(\frac{3}{2}\right)^2$[/tex]

                           [tex]$=\frac{9}{4}$[/tex]

∴ Volume scale factor [tex]$=\left(\frac{3}{2}\right)^3$[/tex]

                                     [tex]$=\frac{27}{8}$[/tex]

Therefore, the volume of cylinder B is [tex]$=20 \times \frac{27}{8}$[/tex]

                                                               = 67.5 [tex]mm^3[/tex]

What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)

Answers

Answer:

4

4

+

8

2

+

8

Step-by-step explanation:

In how many ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to their sibling

Answers

Answer:

1,968

Step-by-step explanation:

Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;

Set X represent the set where the siblings x₁ and x₂ sit together

Set Y represent the set where the siblings y₁ and y₂ sit together

Set Z represent the set where the siblings z₁ and z₂ sit together

We have;

Where the three siblings don't sit together given as [tex]X^c[/tex]∩[tex]Y^c[/tex]∩[tex]Z^c[/tex]

By set theory, we have;

[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = [tex]\left | X^c \cup Y^c \cup Z^c \right |[/tex] =  [tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex]

[tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex] = [tex]\left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]

Therefore;

[tex]\left | X^c \cap Y^c \cap Z^c \right | = \left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]

Where;

[tex]\left | U\right |[/tex] = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!

[tex]\left | X\right |[/tex] = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!

[tex]\left | Y\right |[/tex] = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!

[tex]\left | Z\right |[/tex] = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!

[tex]\left | X \cap Y\right |[/tex] = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!

[tex]\left | X \cap Z\right |[/tex] = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

[tex]\left | Y \cap Z\right |[/tex] = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

[tex]\left | X \cap Y \cap Z\right |[/tex] = The number of ways x₁ and x₂,  y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!

Therefore, we get;

[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)

[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 5,040 - 3072 = 1,968

The number of ways where the three siblings don't sit together given as [tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex]  = 1,968

I need help on my math!!!!!!!

Answers

Answer:

(b) 30.25 feet

Step-by-step explanation:

Given

[tex]v = \sqrt{64h[/tex]

Required

Find [tex]h[/tex] when [tex]v = 44[/tex]

Substitute [tex]v = 44[/tex] in [tex]v = \sqrt{64h[/tex]

[tex]44 = \sqrt{64h[/tex]

Take square of both sides

[tex]44^2 = 64h[/tex]

[tex]1936 = 64h[/tex]

Divide both sides by 64

[tex]30.25 = h[/tex]

Rewrite as:

[tex]h = 30.25[/tex]

BRAINlIEST FOR CORRECT ANSWER

Answers

Answer:

ok

Step-by-step explanation:

mark me the brainlieast since your question is incomplete

c) What should be subtracted from 5m - 3n to get 2m + 5n?
What she hechosomoce 2-59​

Answers

Answer:

3m-8n

Step-by-step explanation:

Set up an equation:

(5m-3n)-(2m+5n) = ?

Solve:

   5m-3n

-  2m+5n

   3m-8n

Hope this helps!

A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows a six or the green die
shows a six?

Answers

Answer:

2/12

Step-by-step explanation:

The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth

In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?

Answers

Answer:

14 units is the answer

Step-by-step explanation:

^_^^_^^_^^_^^_^

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