The numerator of a rational number is 7 less than the denominator .If the denominator is increased by 9 and the numerator by 2, we again get the same rational number. Find the Number

Answers

Answer 1

Answer:

5/3

Step-by-step explanation:

Let

Denominator = x

Numerator = x - 7

New

Denominator = x + 9

Numerator = x - 7 + 2

= x - 5

x / x-7 = x -5 / x + 9

Cross product

x * x + 9 = x-7 * x-5

x² + 9x = x²- 5x - 7x + 35

x² + 9x - x² + 5x + 7x - 35 = 0

21x = 35

divide both sides by 21

x = 35 / 21

= 5 / 3

x = 5/3

The rational number is 5/3


Related Questions

can someone please help me with please and thank you

Answers

Answer:

47 DEGREES

Step-by-step explanation:

AOB + BOC = 180 (STRAIGHT LINE)

THEREFORE

(3x + 124) + (6x + 29)  = 180

9x + 153 = 180

9x = 27

x = 27/9

x = 3

THEREFORE

6x + 29

(6*3) +29

18 + 29

47 DEGREES = BOC

If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?

Answers

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

Solve: 3 + √x+2 = 11

62
64
()

Answers

Answer: its 62

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Want Brainliest? Answer quickly!

Answers

Answer:

76

Step-by-step explanation:

Carrie has 0.125 more than Larry, Larry has 3/4 more than Harry. In total they have 151. How much does Harry have

Answers

Harry has 49.792 units.

Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:

1) Carrie has 0.125 more than Larry:

[tex]y = x + 0.125[/tex] (1)

2) Larry has 0.75 more than Harry:

[tex]x = z + 0.75[/tex] (2)

3) In total, they have 151:

[tex]x + y + z = 151[/tex] (3)

Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:

[tex]x + (x + 0.125) + (x-0.75) = 151[/tex]

[tex]3\cdot x -0.625 = 151[/tex]

[tex]3\cdot x = 151.625[/tex]

[tex]x = 50.542[/tex]

And the remaining solutions are, respectively:

[tex]y = 50.667[/tex], [tex]z = 49.792[/tex]

Harry has 49.792 units.

We kindly invite you to check this question related to systems of linear equations: https://brainly.com/question/16879892

Anthony has 115 books in his room. he is storing them in boxes. Each box holds 17 books How many boxes does Anthony need?

Answers

Answer:

7 boxes

Step-by-step explanation:

Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be
used to find the number of tickets sold in advance?
800-8 100
O 35--8" 4.375
O
100-8 12.5
800-8100
35x8 280
800X8 6400
O
35x8 280
100x8800

Answers

Answer:

35% of 800

35% = 0.35

0.35 × 800 = 280

Your answer is 280 tickets ; 0.35 × 800

How many solutions does this equation have?

7h - 7h = 0

Answers

Answer:

Infinite

Step-by-step explanation:

7h-7h=0

We add all the numbers together, and all the variables

=0

h=0/1

h=0

factor 56-16 using the gcf

Answers

I hope it is helpful for you ...

The greatest common factor of the whole numbers 56 and 16 will be 8.

What is the greatest common factor?

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The numbers are given below.

56 and 16

The factor of the number 56 will be given as,

56 = 8 x 7

The factor of the number 16 will be given as,

16 = 8 x 2

Then the greatest common factor of the whole numbers 56 and 16 will be 8.

More about the greatest common factor link is given below.

https://brainly.com/question/11221202

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Graph the equation -2y+12=-3x​

Answers

Answer:

UE DESMOS PLUG INTO DESMOS

Step-by-step explanation:

the website demos will help

Help pls<---
ASAP DUE TODAY BY 9:05

Answers

Answer:covert - 2/3 to -4/6. Then after you do the math...you get -9/6....simplify that to -3/2e=-27. You then multiply -27 by the reciprocal -2/3 and the answer is 18.

Step-by-step explanation:

what is 5(3x+8) answer?

Answers

Answer:

15x + 40

Step-by-step explanation:

5(3x + 8)

Use the distributive property and multiply 5 by 3x and 8

5(3x + 8)

15x + 40

help please ive been stuck on this and i dont understand

Answers

Answer:

Step-by-step explanation:

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points. Label the legs of the triangle.

Hope this helps ?

2x to the power of negative 1, multiplied by 4x squared equals

Answers

Answer:

=-8x^3

Step-by-step explanation:

=2x^-1×4x^2

=-2x×4x^2

=-8x^3

(2x)⁻¹ × (4x)² = 8x

2x to the power of negative 1 is represented as follows

(2x)⁻¹

The value((2x)⁻¹) multiplied by 4x squared is represented as follows

(2x)⁻¹ × (4x)²

Therefore,

(2x)⁻¹ × (4x)²  = (2x)⁻¹ × 16x²

(2x)⁻¹ × 16x²  = [tex]\frac{1}{2x}[/tex] × 16x²

[tex]\frac{1}{2x}[/tex] × 16x²  = 8x

Read more here: https://brainly.com/question/17562073?referrer=searchResults

The Cuevas family spends $48.73 on dinner Saturday night they leave a 18% tip. What is the tip amount they leave

Answers

Answer:

8.7714

Step-by-step explanation:

Someone plz help me I’m on my last question for delta math. I added a screenshot below

Answers

Answer:

f(x) = -2x – 7 ; if x < -5

-(x + 2)² + 6 ; if -5 ≤ x < 0

√(x) – 1 ; if x ≥ 0

Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
0.85 kilograms
0.8 kilograms
1 kilograms
0.84 kilograms

Answers

Answer: 0.85 kilograms

Step-by-step explanation:

The answer is 0.84 kilograms

Quadrilateral ABCD is reflected over line segment y as shown, resulting in quadrilateral TURS.

Quadrilateral A B C D is reflected over line y to form quadrilateral T U R S.

If AD 5 in., AB = 7 in., DC = 4 in., and BC = 9 in., what is TU?

4 in.
5 in.
7 in.
9 in.

Answers

Answer:

7in

Step-by-step explanation:

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units.

(I searched it up)

The length of TU is 7 in.

Hence, option C is correct.

What is quadrilateral?

A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Given that,

Quadrilateral ABCD is reflected over a line y

Hence preimage = ABCD and image = TURS

After reflection,

The new position of A = T

New position of B =U

New position of C = R and

New position of D = S

By transformation properties,

For reflection the scale factor is 1 and hence AB will have the same length as TU

Since,

AB = 7 inches,

Therefore,

TU = 7 inches.

To learn more about quadrilaterals visit:

https://brainly.com/question/11037270

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Who plays Fortnite lookin for a sweaty teammate and plz what’s 638+43+53-363+43-35+737-363 times 647+647 I don’t have a calculator

Answers

Answer:

its -3959202 BTW this answer is :(

Step-by-step explanation:

6443

There are 12 inches in a foot in april mrs Harris used 32 feet of ribbon for an art club in may she used 45 feet of ribbon how many more inches of ribbon did mrs Harris use in may than April

Answers

Answer: 156 inches

Step-by-step explanation:

12 inches = 1 foot

In April, Ms Harris used 32 feet of ribbon for an art club. We will convert this to inches. This will b e:

= 32 × 12

= 384 inches

In May, she used 45 feet of ribbon . We convert to inches.

= 45 × 12

= 540 inches

We now calculate the difference in inches. This will be:

= 540 - 384 inches

= 156 inches

Convert 5 gram in quintal​

Answers

Answer:

5e-5

Step-by-step explanation:

I hope that is right

What are the forms of protectionism in trade?

Answers

Answer:

Tariffs

Quotas

Export subsidies

Domestic subsidies

Import licensing

Exchange controls

Financial protectionism

Murky or hidden protectionism

Is 2(6-3x)+x equivalent to 2(3x)+x?

Answers

No
2(6-3x) = 12-6x
2(3x)+x = 7x

1 point
3. A city had a population of 150,000 people in 1990. The population
growth of the city is represented by the equation p = 5t + 150, where p is
the population in thousands and t is the time in years since 1990. In what
year will the population have doubled? *
1993
2000
2020
2030
4. What type of correlation is represented by the data in the scatter plot? *
1 point

Answers

300 = 5t + 150
150 = 5t
30 = t
1990+ 30 = 2020




Directions - Convert each equation to slope intercept form.
A) 2x + 2y = 10
B) 12 + 4y = -44

Answers

Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]

Step-by-step explanation:

Slope Intercept form is y=mx+b

Equation A:


Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm

Answers

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

Dose anyone know this? Like I'm confused on what to do.

4×2×(-3)+(-10)÷5​

Answers

Answer:

start with the prostheses first and the -3 and -10 together us

Step-by-step explanation:

Please

excuse

my

dear

ant

sally

Answer:

-26

Step-by-step explanation:

4×2×(-3)+(-10)÷5​

=(8)(−3)+−10/5

=−24+−10/5

=−24+−2

=−26

Can someone help me with the questions in the picture?

Answers

y = mx + c

13. y = 2x - 4 and goes through (1,5)

Parallel

m = 2

(The slope is the same for parallel lines)

y = 2x + c
5 = 2(1) + c
5 = 2 + c
c = 3

Answer: y = 2x + 3

Perpendicular

m = - 1/2

(The slope is the inverse and negative for perpendicular lines)

y = -1/2x + c
5 = -1/2(1) + c
5 = -1/2 + c
c = -5.5

Answer: y = 1/2x - 5.5

Try the same thing for the second question

Your should get

Parallel: y = -3x + 12
Perpendicular: y = 1/3x + 2

Describe the angle as it relates to the digram
;) :)

Answers

The answer elevation /_angle B /_ V

Answer:

Step-by-step explanation:

∠4 is angle of elevation from ∠C to ∠D

What expression gives the distance between the points (4,6) and (7,-3)?

Answers

Answer:

[tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

Step-by-step explanation:

Use the form: [tex]\sqrt{(x^2-x^1)+(y2-y1)^2[/tex]

so: [tex]\sqrt{(-3^2-6)+(7^2-4^2)}[/tex]

By the distance formula,

[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]

Here,

[tex]x_1 = 4[/tex]

[tex]y_1 = 6[/tex]

[tex]x_2 = 7[/tex]

[tex]y_2 = - 3[/tex]

Hence,

[tex]d = \sqrt{( {7 - 4)}^{2} + {( - 3 - 6)}^{2} } [/tex]

[tex]d = \sqrt{ {3}^{2} + ( - {9)}^{2} } [/tex]

[tex]d = \sqrt{9 + 81} [/tex]

[tex]d = \sqrt{90} [/tex]

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