Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5
veces la suma de las edades de los hijos en aquel momento, que dentro de 10 madre será la suma de las edades
que los hijos tendrán en ese momento y que cuando el hijo mayor tenga la edad actual de la madre, el hijo
menor tendrá 42 años.

Answers

Answer 1

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

How to Solve Algebra Word Problems?

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20     .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

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Related Questions

David throws a ball up in the air. The graph below shows the height of the ball hh in feet after tt seconds. What is the ball’s greatest height?

HELP ASAP!

Answers

The greatest height is 9 feet.

What is projectile?

A projectile is any object thrown into space upon which the only acting force is gravity.

As, from the graph we can see that

The highest point the ball reaches shown by the coordinates (0.75, 9)

As, the maximum height is shown by y- axis(vertical axis).

Hence, the greatest height is 9 feet.

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distribute 5x(3x+7)
help asap

Answers

Answer:

The Answer is 50 or 50x

Answer: 15x^2+35x ✅

Step-by-step explanation:

Hii, do you need to distribute [tex]\boldsymbol{5x(3x+7)}[/tex]? No problem! (:

How to Distribute?

We can solve problems like this one by using what is known as the "distributive property". What it says is: If you have a term that comes before the parentheses, you multiply it times every single term in the parentheses. Let me show you what I mean...

[tex]\twoheadrightarrow\sf 5x(3x+7)[/tex]

[tex]\bullet[/tex] Multiply 5x tmes 3x and 7 - you will obtain

[tex]\twoheadrightarrow\sf 15x^2+35x[/tex] (if we multiply x times x we obtain x²)

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\it Reach\quad far.\:Aim\quad high. \,Dream\quad big.[/tex]

[tex]\bigstar\underbrace[/tex]

--

the answer to this asap please!

Answers

The required work done is 62400 J.


work done to lift a 1500 N object from the ground to the top of a 40 m building if the cable weighs 3 N per m

What is work done?

work done, is define as the product of force and displacement.

since,
work done to lift 1500N to height of 40 m is:
W= FS
   =  1500 x 40 = 60000J
now work done for rope
  is given by
w = mgΔx(40-x)
w= [tex]\int _0^{40}\left mg(40-x\right)dx[/tex]
w=[tex]3\int _0^{40}\left(40-x\right)dx[/tex]
w= 3[tex][40x-x^2/2]\left \{ {{40} \atop {0}} \right.[/tex]
w= 3[1600-800]
w = 2400
Total work done for lifting 1500N to 40m height
= 6000+2400=62400J

Thus the required work done to lift 1500N weight to 40m is 62400J.

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Z varies directly as x^3 and inversely as y^3. If z=167 when x = 3 and y=10, find z if X=4 and y=6

Answers

Answer is 1832.7

step by step

z=kx^3 / y^3

167=27k/1000

k=16700/27

k=6185.2, then

z=6185.2×4^3/6^3

z=6185.2×64/216

z=1832.7

Y=3x-7 complete the missing value in the solution to the equation (1,

Answers

Answer: (1, -4) or y = -4

Step-by-step explanation:

    Given:

y = 3x - 7

    Plug in the value of 1 for x - given to us by "(1, ?)

y = 3x - 7

y = 3(1) - 7

    Multiply:

y = 3 - 7

    Subtract:

y = -4

               y = -4

which of the following is most likely the next step in the series?

Answers

Answer:

errrrrr a not too sure but try

Step-by-step explanation:

i did the test got a 90

or
What is (fg)(x)?
f(x)=

3x+1
g(x)=x2
Write your answer as a polynomial or a rational function in simplest form.

Answers

The value of (fg)(x)= 3x³+ x²

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x) = -3x+1

g(x) = [tex]x^{2}[/tex]

Now, (fg)(x)

=f(x) * g(x)

=  (-3x+1) * ([tex]x^{2}[/tex])

=-3x³+ x²

Hence, (fg)(x)= 3x³+ x²

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Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?

Answers

Answer:

The correct option is;

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C

Find the equation of the tangent line to the curve:
y = ( 1 + 2x)
at the point (2, 25).

Answers

Answer:

the first answer y = 20x - 15

Step-by-step explanation:

since the correct tangent line must share the same point with the originated function, only a line function that delivers y = 25 for x = 2 can be correct.

only the first answer option provides this (20×2 - 15 = 25).

so, we know, this line goes through the given point, but does it have the correct slope for the tangent ?

the correct slope we get from the first derivative of the original function.

f(x) = (1 + 2x)² = 1 + 4x + 4x²

f'(x) = 4 + 8x

for x = 2 we get the tangent slope at that point as

4 + 8×2 = 20

and the provided line is again

y = 20x - 15

with the slope being the factor of x (20).

so, it fits, and indeed, answer 1 is correct.

The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
set?
O
-
-5-4-3 -2 -1 0 1 2 3 4 5
-5-4-3-2-1 0 1 2 3 4 5
4
+
-5 -4 -3 -2 -1 0 1 2
44
3 4 5

Answers

The correct answer to this question is Option (4).

Answer:

D.

Step-by-step explanation:

EDG 2022

The graph of a rational function f is shown below.
Assume that all asymptotes and intercepts are shown and that the graph has no "holes".

Use the graph to complete the following.

Answers

We have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The y-intercept of a function is determined by the intersection of its graph with the y-axis. The value of y on the y-axis at which the considered function crosses it is called the y-intercept.

Assume the following equation: y = f (x)

We have x   =0- 2 and y+2 = 0,The x and y intercept of the given function is -2 and +2.

The vertical asymptote is none. The horizontal asymptote is 2.

Hence,we have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.

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ASAP NOW! PLSS! I WILL MARK 5 STARS! PLSSS! thank you!! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.

Answers

Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.

What are opposite values?

Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.

In general, the temperature equation for Portland, Maine is stated mathematically as

PoT=-PhT

As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,

PoT=-PhT

PhT =+PoT

Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.

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The lateral area of a right cone which has a base diameter of 4 units and a height of 10 units is:

Answers

Answer:

Step-by-step explanation:

The ratio of the number of fiction book is 9:4, the different between the number of fiction and non fiction is 245

Answers

Answer:

Step-by-step explanation:

The ratio of the number of fiction books is 9:4

 the difference between the number of fiction and nonfictionn is 245

so if the number of fiction books = 9x

then the number of nonfiction books = 4x

then difference = 9x-4x = 5x

the difference is given 245

then 5x= 245

x=[tex]\frac{245}{5}[/tex]=49

number of fiction books =49×9=441

number of nonfiction books =49×4=196

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sketch the graph of y =sine3x​

Answers

The graph of [tex]\mathbf{y=\sin{3x}}[/tex] is given by,

Here given the function is [tex]y=\sin{3x}[/tex]

when [tex]x=0\Rightarrow y=\sin{3\times 0}=\sin0=0[/tex], then it passes through the origin (0,0).

When [tex]x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1[/tex]

Since we know that, [tex]-1\leq\sin{x}\leq1,\forall x[/tex], then the function has maximum height at [tex]x=\frac{\pi}{6}[/tex].

Again when [tex]x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0[/tex], again the function is 0.

So clearly the function is the Oscillating function with a maximum value of the function as 1 and a minimum value of the function as -1.

Range of the oscilaltion of the function = 1-(-1) = 1+1 = 2

Using graphing calculator we get the graph of function [tex]y=\sin3x[/tex],

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If the sides of a square are increased by 2 inches, the area becomes 25 squares inches. Find the length of sides of the original square.

Answers

You know that the sides of a square are increased by 2 inches: the expression should be written as (x+2)

The area is 25 square inches

The area of a square is s×s or s²

so it can be solved as:

(x+2)²=25

[tex](\sqrt{x+2})^{2} =\sqrt{25}[/tex]

x+2=5

x=3

The length of the original side is 3 inches

Hope it helps!

How can I simplify this equation 2y+3(x-4x)​

Answers

Answer:

2y - 9x

Step-by-step explanation:

2y + 3 ( x - 4x )

First, solve the brackets.

2y + 3x - 12x

Combine like terms.

2y - 9x

Answer:

[tex]\sf 2y-9x[/tex]

Step-by-step explanation:

Hi There Student! Let me help you out on this question.

________________________________________________________

Simplifying

In this problem, we are given an expression [tex]\longmapsto\pmb{2y+3(x-4x)}[/tex], and asked to simplify it.

                                    ↪

First, we can perform the operation inside the parentheses, x-4x:

[tex]\longmapsto\sf 2y+3(-3x)}[/tex].

Now we can multiply 3 times -3x:

[tex]\longmapsto\sf 2y-9x[/tex]

And that is our final answer, because 2y and -9x are not like terms.

Hope that this helped! Have a good day ahead.

Best Wishes!

[tex]\star\bigstar\overline{\overline{\underline{\underline{\textsf {Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

 ◆◈-Greetings!-◈◆

-______________________________

For what value of b does (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b 2 baseline = 12?

Answers

There is no solution for b.

The rule for operations done in exponents are

(a) [tex]a^m*a^n=a^{m+n}[/tex]

(b) [tex]a^m/a^n=a^{m-n}[/tex]

(c)[tex](1/a)^m=a^{-m}[/tex]

Given the expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12

the expression (one-twelfth) superscript negative 2 b simplifies that [tex](1/12)^{-2b}[/tex]

12 superscript negative 2b+ 2 simplifies that [tex]12^{-2b+2}[/tex]

so the final expression (one-twelfth) superscript negative 2 b baseline times 12 superscript negative 2 b+2 baseline = 12 will be

[tex](1/12)^{-2b}[/tex] * [tex]12^{-2b+2}[/tex] =12

⇒[tex]12^{-(-2b)}\\[/tex] * [tex]12^{-2b+2}[/tex] =12

⇒[tex]12^{2b[/tex] * [tex]12^{-2b+2}[/tex] =12

⇒[tex]12^{2b-2b+2}[/tex]=12¹

equating the exponts of the both sides

⇒2b-2b+2=1

⇒2=1 (not accepted because un-logic condition)

Therefore there is no solution.

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The functions f(x) = x^2 – 2 and g(x) = –x^2 + 5 are shown on the graph.

Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

y > x^2 – 2
y ≥ –x^2 + 5

Answers

The set of inequalities do not have a solution.

What is inequality?

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given:

f(x)= x²-2

g(x) = -x²+5

To derive, y ≤ x² + 5 simply change the equality sign in the function g(x).

To derive  y > x² - 2 ,  following transformation on the function f(x)

Shift the function f(x) down by 2 unitsReflect across the x-axisShift the function g(x) up by 5 unitsChange the equality sign in the function g(x) to greater than.

The inequalities of the graphs become

y < x² - 2 and y ≤ x² - 5

From the graph of the above inequalities it can be seen that curves of the inequalities do not intersect.

Hence, the set of inequalities do not have a solution

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Gabrielle's age is three times Mikhail's age. The sum of their ages is 36. What is Mikhail's age?

Answers

Answer:

Gabrielle is 27

Mikhail is 9

Step-by-step explanation:

g = 3m

g + m = 36

since g = 3m we can substitute it in the equation

g + m = 36 as

3m + m = 36

4m = 36

m = 9

3m = 27 which is g

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PLease simplify this!!!
show all work!

Answers

The simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].

The given expression is [tex]\frac{4(3x^{2} y^{4} )^{3} }{(2x^{3} y^{5} )^{4} }[/tex].

What are exponents?

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".

We need to simplify the given expression.

Now, [tex]\frac{4(3^{3}x^{6} y^{12} )}{2^{4} x^{12}y^{20} }[/tex]

⇒[tex]\frac{108x^{6}y^{12} }{16x^{12} y^{20} }[/tex]

⇒[tex]\frac{27}{4x^{12} y^{8} }[/tex]

Therefore, the simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].

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Work out the height of this triangle with base, b = 4.7mm and area, A = 137.475mm2.

Answers

Step-by-step explanation:

hope you can understand

The height of the triangle will be;

⇒ 58.5 mm

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The base of the triangle = 4.7 mm

The area of triangle = 137.475 mm²

Now,

We know that;

⇒ The area of triangle = 1/2 × Base × Height

Substitute all the values, we get;

⇒ 137.475 = 1/2 × 4.7 × h

⇒ 137.475 = 2.35 × h

⇒ h = 137.475 / 2.35

⇒ h = 58.5 mm

Thus, The height of the triangle = 58.5 mm

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Goods costing $2,300 are purchased on account on July 15 with credit terms of 2/10, n/30. On July 18, a $100 credit memo is received from the supplier for damaged goods. Give the journal entry on July 24 to record payment of the balance due within the discount period using a perpetual inventory system

Answers

The journal entry on July 24 to record payment of the balance due is $2156

What is Discount Period ?

Discount period is the time period given by the supplier to the consumer for getting discount if the payment is made by the due date.

                                                                          Debit                          Credit

Accounts payable (2300-100 )                       2200

Cash (2200 - (2200* 2%))                                                                   2156

Purchase Discount / Merchandise Inventory                                     44

To record the payment of accounts within discount period

Amount Paid = 2300 - 200 -44 = 2156

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Inverse Function: One to one function...Help needed! 15 pts for your help!

Answers

Answer:

Step-by-step explanation:

hello :

What is 4 third written in expanded form

Answers

The answer is D: 4x4x4
D: 4•4x4 is the correct answer

I WILL MARK 5 STARS! PLSSS FAST! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.

Answers

At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. is mathematically given as

PoT=-PhT PhT =+PoT

What was the temperature in each city?

Generally, the equation  for the temperature at Portland, Maine is mathematically given as

PoT=-PhT

Since  Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix.

In conclusion, the temperature in each city is

PoT=-PhT

PhT =+PoT

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Philip ran out of time while taking a multiple-choice test and plans to guess the last 4 questions. Each question has 5 possible choices, one of which is correct. Let X=X=X, equal the number of answers Philip correctly guesses in the last 444 questions. Assume that the results of his guesses are independent.
What is the probability that he answers exactly 1 question correctly in the last 4 questions?

Answers

Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:

n = 4, p = 1/5 = 0.2.

The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096[/tex]

0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

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Select the correct answer from each drop-down menu.
Consider functions hand k.
h(t) = 5r2 – 1
k(x) = √5x + 1
For > 0, the value of h(k(x)) is
0, functions hand k
For
the value of k(h(r
inverse functions.

Answers

Answer:

h(t)= 5r2-1

That the answer for the question

can someone turn the equation 3−2=13 into a word problem. (i already know answer)

Answers

The word problem for given equation is : When 3 is multiplied with x and subtracted by 2 multiplied by y , the number obtained is 13. Solve the equation for x =1 .

The complete equation will be 3x - 2y =13

What is an Equation ?

When an algebraic expression is equated by an equal sign to a constant or any other algebraic expression , then an equation is formed .

The equation given in the question is

3x-2y =13

When 3 is multiplied with x and subtracted by 2 multiplied by y , the number obtained is 13. Solve the equation for x =1 .

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Urgent help needed algebra 2

Answers

replace F with 95:


95 = 9/5C + 32

Subtract 32 from both sides:

63 = 9/5C

Divide both sides by 9/5:

C = 35


answer: 35 Celsius

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