11. If 1 is subtracted from the numerator and from
the denominator of a fraction, the value obtained
1
is z. If 1 is added to its numerator and to its
denominator, the resulting value is Ž. Find the
fraction.

11. If 1 Is Subtracted From The Numerator And Fromthe Denominator Of A Fraction, The Value Obtained1is

Answers

Answer 1

Answer:

3/5

Step-by-step explanation:

Let x be the numerator

Let y be the denominator

1st equation:

(x-1) / (y-1) = 1/2

By simplifying the equation, 2(x-1) = y-1

y = 2(x-1) + 1

2nd equation:

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

By simplifying the equation, 3(x+1) = 2(y+1)

3x + 3 = 2y + 2

2y = 3x + 1

y = (3x + 1) / 2

Substituting the value of y from the 1st equation to the 2nd equation:

1st equation: y = 2(x-1) + 1

2nd equation: y = (3x + 1) / 2

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

x = 3

After finding the value of x, let's find y using the 2nd equation:

y = (3x + 1) / 2

y = [(3)(3) + 1] / 2

y = 5

Alternatively, we may also find the value of x using the first equation, and the result is still the same:

y = 2(x-1) + 1

y = 2(3-1) + 1

y = 5

CHECKING TIME!!!

Substituting the values of x and y:

Let x be the numerator, x = 3

Let y be the denominator, y = 5

1st equation: (x-1) / (y-1) = 1/2

(3-1) / (5-1) = 1/2

2/4 = 1/2

By simplification, 1/2 = 1/2

2nd equation:

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

(3+1) / (5+1) = 2/3

4/6 = 2/3

By simplification, 2/3 = 2/3


Related Questions

How do you write 3
5
/
12
as a decimal

Answers

Answer:

3.4166666666667

Step-by-step explanation:

3 5/12 as a decimal is 3.41667

2.
A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

A. y + 5 = –3(x – 1); y = –3x – 2

B. y - 1 = 1/3(x + 5); y = 1/3x + 8/3

C. y – 5 = 3(x + 1); y = 3x + 8

D. y - 5 = 1/3(x + 1); y = 1/3x + 16/3

Answers

Answer:

A. y + 5 = –3(x – 1); y = –3x – 2

Step-by-step explanation:

Point-slope form:

Slope-intercept form;

EXPLANATION

The point-slope form of a line is given by:

We need to find the slope using the formula:

Let us substitute the point (1, –5) and (–3, 7).

This implies that,

The point slope form now becomes,

To find the slope intercept form, we expand to obtain;

Sarah stated that given the following information,
she can prove that the lines 1 and m are not parallel.
Is Sarah correct?
Explain your reasoning.

Answers

Lines 1 and m will never intersect.

Answer:

Sarah is correct: lines l and m are not parallel.

Step-by-step explanation:

Given that m < 1 = 130°, and m < 7 = 45°,

Sarah is correct, that lines l and m are not parallel.

If lines l and m were parallel cut by the transversal, n, then its exterior angles < 1 and < 7 that lie on the same side of the transversal should be supplementary.  In other words, m < 1 and m < 7 should have a sum of 180°

Since according to the given prompt that m < 1 = 130°, and m < 7 = 45°, the sum of their measure add up to 175°, and not 180°.

Therefore, lines l and m are not parallel.

Please mark my answers as the Brainliest if you find this helpful :)

Find the distance between the two points rounding to the nearest tenth (if necessary).
(0,−1) and (8,7)

Answers

Answer: 11.31

Step-by-step explanation:

What is the area of a circle if the circumference is 90

Answers

i believe its A≈644.58

Please solve this problem... I will mark you brainliest

Answers

I hope this helps you

i need much help plz

Answers

Answer:

77

Step-by-step explanation:

Rate as BRAINLIEST

x + 9y

we plug in x and y

5+9(8)

=5+72

= 77

Answer:

77

Step-by-step explanation:

substitute the values in the equation

that'll give you 5+9(8)

then evaluate, 9(8)=72

72+5=77

What is the slope of the line that passes through the points (-3, 5) and (1,7)?
01
1/2
02

Answers

Answer:

You will use the formula y2-y1 over x2-x1.

This would make 7-5 over 1+3.

7-5=2 and 3+1=4. 2/4=1/2.

The answer is 1/2 :) If it turns out wrong, then the answer is most definitely 2.

what number is 75% of 32?​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

24

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Converting 75 percent to a decimal: } 75\%\rightarrow \frac{75}{100}\rightarrow 0.75\\\\\rightarrow 0.75 * 32 = \boxed{24}\\\\\\\rightarrow \text{75 percent of 32 is \textbf{24}.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

- 0.2 ( 25x + 5 ) - 5 = 4

Answers

Answer:

x= -2

Step-by-step explanation:

-0.2(25x+5)-5 = 4

We move all terms to the left:

-0.2(25x+5)-5-(4) = 0

We add all the numbers together, and all the variables

-0.2(25x+5)-9 = 0

We multiply parentheses

-5x-1-9 = 0

We add all the numbers together, and all the variables

-5x-10 = 0

We move all terms containing x to the left, all other terms to the right

-5x= 10

x=  10/-5

x= -2

Answer:

x=-2

Step-by-step explanation:

step 1 -5x-1-5=4

step 2 -5x-6=4

step 3 -5x=10 cause you add 6 on both sides

step 4 and then divide both sides by -5 to get x=-2


Find the cost of sending 25 text messages.
Text messages- 5,6,7
Cost- 2.5,3,3.5

Answers

Answer:

12.5

Step-by-step explanation:

This is a proportional relationship:

y = kx

Use a pair of values to find the coefficient of proportionality (5, 2.5):

2.5 = 5kk = 2.5/5 = 0.5

k = 0.5 units represents a cost of a text message.

25 text messages cost:

25*0.5 = 12.5 units

What is the total mass of 2,3kg 500 kg and 3 kg and 450kg

Answers

500kg=500000g
450kg=450000g
3kg=3000g
2,3kg=2300g

500000g+450000g+3000g+2300g=955300g

955300g=955.3kg

Find the missing value. 8-?=-5 HELPPP!

Answers

13. You add the 8 and the 5

Answer:

Step-by-step explanation:

8 - something = -5

so negative something has to be 5 bigger then 8 to have a -5 left at the end

8 - (8+5) = -5

8 - 13 = -5

Kevon baked some cookies on
Monday and split them into 3 equal
groups. Then he added 6 old
cookies from Sunday into his own
bag so that he had 24 cookies in
his bag. How many cookies did he
bake on Monday?


Answers

Step-by-step explanation:

24-6=18(one group)

18×3=54 because kevon split them into 3 groups

Given AE = EC, for what value of x is quadrilateral ABCD a parallelogram?

Answers

Answer:

Each side of the Rhombus is equal to 4x

what is the slope of the line that passes through (-3,-3) and (-9,5)

Answers

Answer:    slope =   - ⁴/₃

Step-by-step explanation:      

      The question gives us two points,  (-3,-3) and (-9,5), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m)   = (y₂ - y₁) ÷ (x₂ - x₁)

                                           = (5 -(-3)) ÷ (-9 -(-3))      

                                           =  (5 + 3) ÷ (-9 + 3)    

                                           =   - ⁴/₃  

Checking my answer visually:  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.

                                ⇒  y - (-3) = - ⁴/₃ (x - (-3)        [ using the point (-3, -3)]

                                       y + 3  = - ⁴/₃ (x + 3)

 

                                         

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.  

whats the two correct answers???



will give brainliest

Answers

Answer:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Step-by-step explanation:

The graph has an unremovable discontinuity at X=0, therefore all continuity answers are incorrect.

The graph is neither symmetrical about the x-axis nor y-axis, but if it were to be rotated around the origin, it would be symmetric.

On both sides of the graph, the slope is decreasing.

Therefore:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Convert 3x-4y = 9 to slope intercept form. What are the slope and y - intercept ?

Answers

Answer:

Slope intercept form; -4y = -3x + 9

Y-intercept; 9

Answer:

y=3/4x+9/-4

Step-by-step explanation:

3x-4y=9

-3x. -3x

-4y= -3x+9

-4 -4

y=3/4+9/-4

$16643.83 to the nearest whole number

Answers

Answer 16644

Step-by-step explanation:

Answer:

16,644

Step-by-step explanation:

.83 is rounded up to 1, add that to the remaining numbers


Tim drives at an average speed of 80 km per hour for 2 hours 45 minutes.
Work out how many kilometres Tim drives.

Answers

Answer:

220km

Step-by-step explanation:

Time taken (t) = 2hrs 45 min

= 2.75 hrs

AV =80km/hrs

Displacement or Distance (d) =?

We have,

AV = d÷t

80 = d÷2.75

80 × 2.75 = d

d = 220km

ali bought 2 litre milk. he drank ⅖ litre of it. how much milk did ali has left?

explain with answer

Answers

Answer:

1.6 litre of milk is left

evaluate the expression

Answers

Answer:

[tex] |4( - 2) + 5(3)| = | - 8 + 15| \\ = |7| = 7[/tex]

Answer:

7

Step-by-step explanation:

Given:

|4b + 5c|

Plug in the b and c values:

|4(-2) + 5(3)|

Multiply 4(-2) and 5(3):

|-8 + 15|

Combine like terms:

|7|

Absolute value:

7

Hope this helps, have a nice day :))

Hi Guyss
Can you pls help?

Answers

B!

the golden ratio is where the long side can be split into two pieces and both can still be longer than the short side of the rectangle

A. 34x2=68 which is higher than 55 so it couldn’t split into two bigger halves
B. 20x2=40 which is smaller than 45 so it could split into two bigger halves (this one does fit the golden ratio btw)
C. 18x2=36 which is bigger than 34 and couldn’t split into two larger halves


[tex]Evaluate: \sqrt{ \frac{1 - \sin(x) }{1 + \sin(x) } } [/tex]
Solve this problem please..​

Answers

It’s: Cos(x)/1+sin(x)

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Above expression can be Evaluated to get :

[tex] \dfrac{1 - \sin(x) }{ \cos(x) } [/tex]

or

[tex] \sec(x) - \tan(x) [/tex]

please help quickly this is timed

Answers

Answer:

the one you have selected is correct

Step-by-step explanation:

If the directrix is y = 4 and the focus is at
(3,0), the value of p is:

Answers

Using the equation of an parabola, it is found that the value of p is 0.5.

The equation of a parabola that is concave to the left or to the right, that is, that has directrix y = k, and vertex (h,k), is given by:

[tex](y - k)^2 = 4p(x - h)[/tex]

The focus is at: (h, k + p).

The directrix is at: y = k - p

For this problem, we have that:

Focus at (0,3), thus [tex]k + p = 3 \rightarrow k = 3 - p[/tex].Directrix at y = 4, thus [tex]k - p = 4[/tex]

Since [tex]k = 3 - p[/tex]:

[tex]3 - p - p = 4[/tex]

[tex]2p = 1[/tex]

[tex]p = \frac{1}{2}[/tex]

[tex]p = 0.5[/tex]

The value of p is 0.5.

A similar problem is given at https://brainly.com/question/17987697

There are 60 minutes in one hour. There are 24 hours in one day. How many minutes are there in one day?

Answers

Answer:

There are 1440 minutes in a day

Answer:

1,440 minutes

Step-by-step explanation:

Multiply 60 minutes times 24 hours and it will equals 1,440.

Evaluate the expression when a=2/3 and c= -2/7
-4c-a
Write your answer in simplest form.

Answers

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

- 4c - a

= - 4 × - [tex]\frac{2}{7}[/tex] - [tex]\frac{2}{3}[/tex]

= [tex]\frac{8}{7}[/tex] - [tex]\frac{2}{3}[/tex] ( the LCM of 7 and 3 is 21 ) , then

= [tex]\frac{8(3)}{7(3)}[/tex] - [tex]\frac{2(7)}{3(7)}[/tex]

= [tex]\frac{24}{21}[/tex] - [tex]\frac{14}{21}[/tex]

= [tex]\frac{24-14}{21}[/tex]

= [tex]\frac{10}{21}[/tex]

The price of a car is 3 x (10⁴). What is the price of the car?​

Answers

Answer:

30,000 brooooooooooooo

Answer:

30,000

Step-by-step explanation:

3 x 10000

=30000

Ive tried everything and still dont understand can you help?

Answers

Answer:

13.896 kg

Step-by-step explanation:

Volume of Gold Bar = Area of [Trapezium x Length of Bar]

Length of Bar = 16 cm

Area of Trapezium = 2 × Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²

2 × Area of Triangle = 2 × 7.5 = 15 cm²

Area of Rectangle = 6 × 5 = 30 cm²

Area of  Trapezium = 15 + 30 = 45 cm²

Volume of Gold Bar = 45 × 16 = 720 cm³

Density of Gold = 19.3 g/cm³

Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg

Mass of Gold Bar = 13.896 kg

Therefore the mass of the Gold Bar is: 13.896 kg (kilograms).

Answer:

13.896kg

Step-by-step explanation:

First, find the volume of the trapezium.

Volume = area of cross-sectional area times the length (16cm)

[(a+b)/2] times height

(6+12)/2 x 5

(18/2) x 5

9 x 5

= 45 <-- area of cross section

45 x 16 = 720 cm^3 <-- volume

To find the mass, multiply volume times density

720 x 19.3 = 13 896g  = 13.896kg

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

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