The present oge of a :b are in ratio 5: 6 three year ago , thier age were in the ratio 4:5 find there present age .

Answers

Answer 1

Answer:

Their present age are 15 and 18

Step-by-step explanation:

a : b = 5 : 6

[tex]\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15[/tex]


Related Questions

What transformation(s) were made to the original f(x) = x graph?

The function was stretched by
factor of 2
The function was shifted to the left 3 units
The function was reflected over the y-axis
The function was shifted upward 2 units
The function was shifted to downward 3 units
The function was reflected over the x-axis
The function was shifted to downward 2 units
The function was stretched by a factor of 0.5

Answers

Yes it x equals 4 and y equals 8 hope this helps

140 divided by 8960 please I need to know.

Answers

20sum i think or like 30sum

The value will be 64 when the number 8960 is divided by 140.

What is division?

A procedure of dividing anything into equal halves is called division. It is one of the four fundamental operations in math. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given numbers are 8960 and 140. To calculate the quotient divide the number 8960 by 140.

The given number can be divided as below:-

140 ) 8960 ( 64

         -840    

___________

        560

       -560

___________

        000

Therefore, the value will be 64 when the number 8960 is divided by 140.

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39.63+0.30=24.45+0.80

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]

[tex]\large\textsf{39.63 + 0.30}[/tex]

[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]

[tex]\large\textsf{24.45 + 0.80}[/tex]

[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]

[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Complete the square x2+6x+3

Answers

The answer is 11 hope it helps

x^2 + 6x + 9

x^2 + 3x + 3x + 9

x ( x + 3 ) + 3 ( x + 3 )

( x + 3 ) ( x + 3 )

( x + 3 ) ^2

Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?

Answers

Answer:

A pair of linear functions

Step-by-step explanation:

Given

See comment for options

Required

Which has real numbers as its range and domain

The answer to this is, the linear functions

Take for instance

[tex]f(x) = mx + b[/tex]

The above function is real for all values of x

The inverse is calculated as thus:

[tex]f(x) = mx + b[/tex]

Replace f(x) with y

[tex]y = mx + b[/tex]

Swap y and x

[tex]x = my + b[/tex]

Make y the subject

[tex]my = x - b[/tex]

Divide by m

[tex]y = \frac{x - b}{m}[/tex]

Replace y with the inverse function

[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]

The above function (i.e. the inverse function) is real for all values of x

This is not true for other options

Using the following image, find GH given HI = 1 and GI =
= 9.

Answers

Answer:

8

Step-by-step explanation:

Answer:

[tex]{ \tt{GH =GI - HI }} \\ = 9 - 1 \\ GH = 8[/tex]

Please help me it's urgent!

Answers

Answer:

consistent system, independent system, independent system, inconsistent system

Step-by-step explanation:

1) A system of linear equation with at least one solution is a consistent system.

2) A system of linear equation with exactly one solution that is called independent system

3) A system of linear equations with an infinite number of solution is a dependent system

4) A system of linear equations with no solution is a inconsistent system

Could someone help me please if you don’t mind thank you so much!

Answers

Answer:

m = 11

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (m + 4) = 6 ← multiply both sides by 5 to clear the fraction

2(m + 4) = 30 ( divide both sides by 2 )

m + 4 = 15 ( subtract 4 from both sides )

m = 11

This method avoids having to deal with awkward fractions

An angle that measures between 90 and 180° is called?

Answers

Answer:

Obtuse Angle

Step-by-step explanation:

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

What is the area please?

Answers

Answer:

104

Step-by-step explanation:

18 for the bottom section, 35 for the middle section, and 51 for the top triangle.

Instructions: Find the slope of the line through the points (-13, 16) and (-13, 12). Make sure to simplify
fractions and enter your answers with a foward slash (i.e. "/"). If the slope is undefined enter "undefined.

Answers

Answer: undefined

Step-by-step explanation:

Using the slope formula: (y^2 - y^1)/(x^2 - x^1), we can fill in the points:

(12 - 16)/(-13 - - 13) = -4/0

We can’t have a denominator of zero, so this is undefined.

Given StartLayout Enlarged left-brace First-row StartFraction x cubed minus 1 Over x squared minus 1 EndFraction, for x less-than 1 second row StartFraction 3 Over x minus 1 EndFraction, for x greater-than-or-equal-to 1 EndLayout. What is Limit of f (x) as x approaches 1 minus?

Negative three-halves
0
Three-halves
DNE

Answers

Answer:

Its C 3/2 just did the test

Step-by-step explanation:

The value of the [tex]\lim_{ x \rightarrow 1^-}f(x)[/tex] is ∞, since option (d) DNE.

What is function?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

How to evaluate the [tex]\lim_{ x \rightarrow 1^-}f(x)[/tex]?

The given function is [tex]f(x)=\left\{\begin{array}{l}\frac{x^{3}-1}{x^{2}-1}, \text { for } x < 1 \\\frac{3}{x-1}, \text { for } x \geq 1\end{array}\right[/tex].

We need to evaluate the value of  [tex]\lim_{ x \rightarrow {1^-}}f(x)[/tex].

So [tex]\lim_{ x \rightarrow {1^-}}f(x)=\lim_{ x \rightarrow {1}}(\frac{3}{x-1})[/tex]      

                           [tex]=\frac{3}{1-1}[/tex]        

                          [tex]=\frac{3}{0}[/tex]

                         = ∞

Hence the value of the function is ∞.

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What percentage of the data values falls between the values of 27 and 45 in the data set shown?
VX
25
30
35
40
45
50
25%
O 50%
оооо
O 75%
100%

Answers

Answer:

75%

Step-by-step explanation:

Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile

Between the minimum value and the upper quartile, there is 75% of all the values on the plot

So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.

Kindly note;

There are five points in a box plot

minimum

lower quartile (0-25%)

Median (0-50%)

Upper quartile (0-75%)

Maximum number (0-100%)

a)ab
b)bh
c)gc
d)fe
help me please

Answers

Answer:

Its a

Step-by-step explanation:

Answer:

Letter C)  bh

Step-by-step explanation:

Segment bh is straight across cd and parallel line extend in the same direction but never intersect.

Hope this helps

Help me pls it’s number 8, will give brainliest but quickly pls
Write each number in standard form.

Answers

1. 20010000
2. 0.0819
3. 137000
4. 0.00060041

Answer:

35010

.08190

- 137000

- .00060041

Step-by-step explanation:

positive exponents add zeros to end and move decimal place to right the amount of the exponent.

negative exponents add zeros to begininng and move decimal to the left.

You have $9 and earn $0.75 for each cup of orange juice you sell. Write an equation that represents the total amount $A​ (in dollars) you have after selling $j​ cups of orange juice. $A

Answers

Answer:

I believe it's   A = 0.75j + 9

Step-by-step explanation:

If x or j is the amount of cups of OJ you sell, and you earn $0.75 per cup.

0.75x

The b = 9 which adds to the total amount of money you have

0.75x+9

A is the total money you earn after you sell j cups.

I hope this helps!

If G(X) = 3x+1, then G-1(1) is

Answers

Answer:

0

Step-by-step explanation:

To find the inverse, or [tex]G^{-1}[/tex] , we must switch G(x) and x, and then make G(x) [tex]G^{-1} (x)[/tex] as we are finding the inverse, and G(x) represents the starting equation.

[tex]x = 3G^{-1} (x)+1\\x -1 = 3G^{-1} (x)\\\\\frac{x-1}{3} = G^{-1} (x)\\[/tex]

The steps used here are that we firt subtracted 1 from both sides, and then divided 3 from both sides.

To find [tex]G^{-1} (1)[/tex], we simply plug 1 into x in the inverse function, so our answer is [tex]\frac{1-1}{3} =0[/tex]

f(x) = x2. What is g(x)?

Answers

Answer:

Step-by-step explanation:

C

Complete the square to rewrite y=x2 - 6x + 2 in vertex form. Then state whether the vertex is a maximum or a minimum and give its coordinates.

A. Maximum at (-3, -7)

B. Maximum at (3,-7)

C. Minimum at (3, -7)

D. Minimum at (-3, -7) ​

Answers

Answer:

C is the Answer

Step-by-step explanation:

fjrbdhcfbd

Answer:

C) Minimum at (3,-7)

Step-by-step explanation:

[tex]y=x^2-6x+2[/tex]

[tex]0=x^2-6x+2[/tex]

[tex]0+7=x^2-6x+2+7[/tex]

[tex]7=x^2-6x+9[/tex]

[tex]7=(x-3)^2[/tex]

[tex]0=(x-3)^2-7[/tex]

[tex]y=(x-3)^2-7[/tex]

Because the parabola opens upward, the vertex is the minimum of the function. Therefore, the vertex is the minimum at (3,-7).

Help a girl out pls

What are the exact solutions of x2 - X-4 = 0, where -b + √b² - 4ac X= 2a Ox= -115 2 Ox= 11 15 2 O x = 1:17 2 0x==137​

Answers

Answer:

    1 ± sqrt(17)

 x = ---------------------------

            2

Step-by-step explanation:

x^2 - x - 4 =0

Using the quadratic equation

     -b ± sqrt(b^2 -4ac)

 x = ---------------------------

            2a

Where ax^2 +bx +c  

We know a =1  b = -1  c = -4

     -(-1) ± sqrt((-1)^2 -4(1)(-4))

 x = ---------------------------

            2(1)

     1 ± sqrt(1 +16)

 x = ---------------------------

            2

     1 ± sqrt(17)

 x = ---------------------------

            2

Put these numbers in order from greatest to least.

3/10, 0.6 and 0.7

Answers

The correct answer is: 0.7, 0.6, and 3/10

3/10 converted to a decimal is 0.3
The correct answer is 0.6, 07, and 3/10

Juanita opens a savings account with $200. Each month, she deposits $25 into her account and does not withdraw any money from it. Write an equation in slope-intercept form of the total amount y in Juanita’s account after x months

Answers

Answer:

225 hahahahahahahhahahahhaha

Hahhahahahaha

The equation in slope-intercept form will be; y = 200- 25x

How to find the slope?

Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Thus, we get:

Slope = rise/ run

We have been given that Juanita opens a savings account with $200.

For Each month, she deposits $25 into her account and does not withdraw any money from it.

Therefore, the equation in slope-intercept form of the total amount y in Juanita’s account after x months is,

y = 200- 25x

Here the slope is - 25.

Hence, the equation in slope-intercept form will be; y = 200- 25x

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prove [tex](x+1)^{2}(x+2)=(x^3+3x+21x+1)[/tex] no files

Answers

Answer:

LHS ≠ RHS

Step-by-step explanation:

[tex]LHS =\\\\=(x+1)^2 (x + 2) \\\\=(x^2 + 2x + 1)(x+2)\\\\=x(x^2 + 2x + 1) + 2(x^2 + 2x + 1) \\\\=(x^3 + 2x^2 + x ) + ( 2x^2 + 4x + 2) \\\\=x^3 + 2x^2 + x + 2x^2 + 4x + 2 \\\\=x^3 + 4x^2 + 5x + 2[/tex]

can someone pls pls help me?

Answers

You anwser us 22 times in

Answer:

area is 320

Step-by-step explanation:

you do h_bb/b and the height is 20 ft and the base is 32 ft so you just plug it in

what is the area of a flower pot that have the shape of a semi circle and its diameter 2.8cm?​

Answers

Step-by-step explanation:

The area of a circle = pi r^2

d = 2r Divide by 2 to get the radius

r = d/2

The diameter = 2.8 cm

r = d/2

r = 2.8/2

r = 1.4

The area of the circle = pi * r^1

The area of the circle = 3.14 * 1.4^2

The area of the circle = 6.1544

But you are working with a semic circle

The area of a semicircle is 1/2 that of a circle

Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded

What is the inverse relation of the function whose equation is y= 3x-2

Answers

Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

1/3(x+2) = 1/3(3y)

1/3x +2/3 = y

What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31

Answers

Answer:

 [tex]x_{n} =[/tex] -10 - 3(n-1)

Step-by-step explanation:

The answer is

xn =  -10 - 3(n-1)

What is the total cost of a $25 book if the sales tax is 8%?

Answers

Answer:

27

Step-by-step explanation:

First find the tax

25 *8%

25*.08

2

Add the tax to the cost of the book

25+2

27

Answer:

simple answer would be 27 dollars

Step-by-step explanation:

the more complicated answer would be:

25 times 0.08 on the calculator (or in your head) would be 2

25 added by 2 would equal 27 dollars

the first one is finding the sales tax total

the second one is subtracting the total cost of the book by the sales tax total to get 27 dollars or the NEW total

What is the solution to the equation below? Round your answer to two decimal places. 6+7 • log2 x = 21

A. x = 4.42
B. x = 3.06
C. x = 2.61
D. x = 4.59​

answer is A. X = 4.42

Answers

Step-by-step explanation:

6+ 7•log2 x = 21

7.log2 x = 21-6

7. log2 x = 15

log2 x = 15/7

x = 2^(15/7)

x = 4.416 = 4.42

if x4 + 1/x4 = 4 find the value of x2+1/x2​

Answers

Answer:

Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

Step-by-step explanation:

I think its 2

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