i am thinking of a fraction. The sum of the numerator and denominator is 19. When I add
8 to the denominator, the fraction becomes 1/2 What is the fraction I am thinking of?​

Answers

Answer 1

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Let the fraction be [tex]\frac{x}{y}[/tex].

That would mean:

(1)    x+y = 19

&

(2)    y+8 = 2x or 2x = y+8

In order to use substitution, we multiply equation by 2:

(3)   2x+2y = 38

Then we substitute equation (2) into (3):

y+8 + 2y = 38

3y + 8 = 38

3y = 30

y = 10

Substitute this into equation (1)

x + 10 = 19

x = 9

Therefore the fraction would be:

[tex]\frac{9}{10}[/tex]

Answer 2

Answer:

9/10

Step-by-step explanation:

let the fraction be x/y.

x+y=19

x/y+8=1/2

solve simultaneously

y=2x-8

y=19-x

2x-8=19-x

3x=27

x=9

y=10


Related Questions

What is the quotient of x^2-9x+14/x-7?

A. x+2 B. x-7 C. x-2/x-7 D. x-2

Answers

Answer:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7

Step-by-step explanation:

Please use parentheses to show clearly that you are dividing by (x - 7):

 x^2 - 9x - 14

-------------------       or    (x^2 - 9x - 14) ÷ (x - 7)

       x - 7

x^2 - 9x + 14 factors into (x - 7)(x + 2).  After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:

(x - 7)(x - 2)

----------------- = x - 2 for x ≠ 7    

     x - 7

Hi can anyone please help me I really need help please help me

Answers

Answer:

3811.2 cubic cm

Step-by-step explanation:

Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2

if x^4x^2/3=X^a what is the value of a?

Answers

Answer:

x^(4+2/3)=x^a

a=4+2/3=(12/3)+(2/3)=14/3

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73

Answers

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms

Answers

Answer:

Step-by-step explanation:

x^2 + xy + y^2 has 3 terms they are:

x^2,   xy, and y^2

hope it helps

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The polynomial x²+xy+y² has 3 terms. Option C is correct.

What exactly is a polynomial?

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given polynomial;

⇒x²+xy+y²

The three terms are as follows;

xy

The polynomial x²+xy+y² has 3 terms.

Hence, option C is correct.

To learn more about polynomials, refer to:

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Given the equations below what is the value of ab?
10b-9a=6
b-a=1

Answers

Answer:

12

Step-by-step explanation:

Adding a to both sides of the second equation we get b = a+1

Substituting this in we get

10a + 10 - 9a=6

a +10 =6

a=-4

Putting this back in to the second one we get b+4=1

B=-3

-4*-3=12

The value of ab = 36.

We have the following equations -

10b - 9a = 6

b - a = 1

We have to determine the value of ab.

If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?

We have -  [tex]a^{2} -b^{2} = \pi[/tex]

(a + b) (a - b) = [tex]\pi[/tex]

a - b =  [tex]$\frac{\pi }{4\pi }[/tex]  = 1/4

According to question, we have -

10b - 9a = 6

b - a = 1

Now -

b - a = 1

a = b

Therefore -

10b - 9a = 6

10b - 9b = 6

b = 6 = a

ab = 6 x 6 = 36

Hence, the value of ab = 36.

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the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price

Answers

Answer:

$1000.45 is the new price.

Step-by-step explanation:

The fastest way in which to answer this question is to multiply $935.00 by 1.07.  That ".07" comes from "7%."

1.07($935.00) = $1000.45 is the new price.

Marlin made the wooden block below in his woodworking class. What is the surface area of his block?​

Answers

Answer:

The answer is D

Step-by-step explanation:

I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared

PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D

Answers

Answer:

a is my end result. hope that was right

The theoretical probability of rolling an even number is one-half.

Option B is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.

In this case, we have 3 even outcomes: 2, 4, and 6.

Therefore, the probability of rolling an even number on a fair die is:

P(even) = number of even outcomes / total number of outcomes

P(even) = 3 / 6

P(even) = 1/2

Thus,

The theoretical probability of rolling an even number is one-half.

Learn more about probability here:

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The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:

Answers

Answer:

d. 63

Step-by-step explanation:

sum of 3 interior angles= 180°

78°+39°+a=180°

a= 180°- 117°

a= 63°

Answer:

D. 63°

Step-by-step explanation:

The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.

78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)

1. Kane earns an annual salary of $42,500.

He is paid twice a month with paychecks being

of equal amounts. If Medicare taxes

represent 1% of his income, then how much

will Kane bring home after Medicare taxes?

Answers

Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary  = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being  of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]

Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi

Answers

Answer:

d=6

Step-by-step explanation:

Answer: diameter is 6

Step-by-step explanation:

Which equation can be used to solve for in the following diagram?
3.
30°
Choose 1 answer:
3x = 30
© 3.r +30 +90 = 180
3x + 30 = 90
90 3.2 - 30

Answers

Answer:

[tex] \boxed{3x\degree = 30\degree} [/tex]

Explanation:

Vertically opposite angles are equal.

Solve for x.
8x - 4 = 2x - 3

Answers

8x-4=2x-3  

One solution was found :

                  x = 1/6 = 0.167

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x-4-(2*x-3)=0  

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    6x-1 = 0  

Add  1  to both sides of the equation :  

                     6x = 1

Divide both sides of the equation by 6:

                    x = 1/6 = 0.167

One solution was found :

                  x = 1/6 = 0.167

i am not solving for x i am solving for you lol!!!

NO ONE HELPED ME WITH MY LAST QUESTION PLS HELP WITH THISSSS, I DONT WANNA GET A BAD GRADE AND I HAVE 2 MINUTES LEFTT!!

Answers

Answer:

Step 2.

-11/12 > -1.5

1.6 > 5/4

1 < 5/4

Step-by-step explanation:

Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.

20 points for who ever get it right someone who knows what they doing please

Answers

Answer:

F is greater than 25

F is positive

Step-by-step explanation:

You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.

You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.

Hope this helps!

Members of a rugby league are thinking about adding a new franchise in Silvergrove. They hired a polling firm to help gauge Silvergrove residents' interest in rugby. The firm contacted 475 randomly chosen Silvergrove residents and asked them whether they had ever attended a rugby match. Of 434 respondents had never attended a rugby match, estimate (including a margin of error) the proportion of the population of Silvergrove that never attended a rugby match.

Answers

The margin of error is 1/√n, where n is the number of people

Margin of error = 1/√475 = 0.0458

Multiply by 100 to get percent:

0.0458 x 100 = 4.58% round to 4.6%

The answer is c.

solve this equation please
5X2 - 15 = 5​

Answers

Answer:

x = 2 or x = -2

Step-by-step explanation:

5x² - 15 = 5​

5x² = 15 + 5

5x² = 20

x² = 20/5 = 4

x² = 2²

x² - 2² = 0

(x - 2)(x + 2) = 0

⇌   we use the zero product property

x - 2 = 0 or x + 2 = 0

x = 2 or x = -2

Can anyone help 9th-grade geometry

Answers

Answer:

5 < x < 23

Step-by-step explanation:

let the third side be x , then

difference of 2 sides < x < sum of 2 sides

14 - 9 < x < 9 + 14 , that is

5 < x < 23

Which graph represents the function g(x) = |x + 4| +2

Answers

Answer:

none of the two graphs in the pic.

it should be one in the II quadrant

Step-by-step explanation:

the plus four means to move 4 to the left

the plus 2 means to move up 2

That would make the vertex in the II quadrant.

Answer:

its A

Step-by-step explanation:

I really need help with this problem can someone pls help me! I really need help plz help me solved this problem need help ASAP!

Answers

Answer:

64

Step-by-step explanation:

4^2-4*3*-4

=16-(-48)

=64

What is the HCF of 36 81?

Answers

Answer:

9

Step-by-step explanation:

Let us look at the factors of each of these

36:

1 and 36

2 and 18

3 and 12

4 and 9

81:

1 and 81

3 and 27

9 and 9

When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.

Answer: hope that's right

HCF OF 36 81 = 9

Step-by-step explanation:

Steps to find HCF:

Find the prime factorization of 36 36 = 2 × 2 × 3 × 3

Find the prime factorization of 81 81 = 3 × 3 × 3 × 3

To find the HCF , multiply all the prime factors common to both numbers:

Therefore, HCF = 3 × 3

The equation shows the relationship between x and y:

y = −9x + 5

What is the slope of the equation?

−14
−9
−4
5

Answers

Answer:

-9

Step-by-step explanation:

for linear equations, the show off the line is the coefficient of x.

in this case, the slope would be -9

she can make 4 basketballs in 1/2 hours.how many in 5 hours?

Answers

Answer: 40

Step-by-step explanation:

Answer:

40 basketballs in 5 hours

Step-by-step explanation:

If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8

Multiply how much she can make every hour by the amount of hours.

8 x 5 = 40

Y=10 when x=8 what is x when y=30

Answers

Answer:

X= 24

Step-by-step explanation:

Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3

Answer:

28 or 24 im not sure which

A jar contains 4 pink, seven red, and 3 orange marbles. If you pick one without looking, what is the probability that the marble you pick will be neither pink nor red?
show work pls tnx!

Answers

Answer:

3/14

Step-by-step explanation:

There’s 14 marbles total and only 3 are orange

If there is a triangle and the sides are 8&12 and 14 what is the missing angle

Answers

Answer:

8/12 = 14/x

Cross multiplication so

8x=14×12

8x=168

X=168/8

X=21

whoever gets done faster wins

Answers

Answer:

2%

Step-by-step explanation:

Answer:2%

Solution

0.02*100%

=2%

hope it helps...

Good luck on your assignment

I WILL MARK YOU BRAINLIEST!!!!!

Answers

Answer:

D.

Step-by-step explanation:

as you ride your bike around the lake. you always go the same distance. the lake doesn't all of a sudden change size.

a clock face has a circumference of 39.88 cm. What is the diameter of the clock ?

Answers

Answer:

diameter ≈12.7

Step-by-step explanation:

d= C/π so plug in what we know

39.88 ÷ 3.14 ≈ 12.7

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