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

Can some one plz help me solve this problem! I need help ASAP ! Help me I will mark you as brainlizt!

Answers

Answer:

a) y = -5 b) y = -4 c) y = 4 d) y = 11

Step-by-step explanation:

a) (-2+2)²-5

b) (-1+2)²-5

c) (1+2)²-5

d) (2+2)²-5

Thirteen out of 20 emails in your inbox are junk emails. What is the experimental probability that your next email is junk? Give your answer as a fraction, decimal and percent (in this order).

Fraction =

Decimal =

Percent = %

Answers

Answer:

Fraction =  13/20

Decimal =  0.65

Percent = 65%

Step-by-step explanation:

Given:

13 out of 20 emails in mail inbox are junk emails

Solve for:

The experimental probability that next email is junk

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

The number of elements (junk emails) = 13

The total number of elements (all emails) = 20

=> P(obtain odd number in experiment) in fraction form = 13/20

=> P(obtain odd number in experiment) in decimal from = 0.65

=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%

Hope this helps!

:)

how do you change a rational number to a decimal

Answers

Answer:

see below

Step-by-step explanation:

do long division

for example 42/8 = 5 2/8 =5 1/4 =5.25

What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?,
A. -12
B. 12
C. -6
D. 6

Answers

Answer:

Option (D).

Step-by-step explanation:

In the figure attached,

An exponential function has been graphed with certain points marked on it.

To find the average rate of change for this function between the given interval we will use the formula,

Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{y_2-y_1}[/tex]

where [tex]f(x_2)[/tex] = value of the function at x = 4

[tex]f(x_1)[/tex] = value of the function at x = 2

By substituting these values in the formula,

Average rate of change = [tex]\frac{16-4}{4-2}[/tex]

                                        = [tex]\frac{12}{2}[/tex]

                                        = 6

Therefore, Option D will be the answer.

Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. If she continues at this rate, where will Ariel be in relation to the rim after 15 minutes?

Answers

Answer:

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

Step-by-step explanation:

What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes

Now, 55 ft will take her 234 minutes

x ft will take her 15 minutes

x * 234 = 55 * 15

234x = 3825

x = 3825/234

x = 16.35 ft

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

After 15 minutes, Ariele would be 3.5 feet away from the rim.

What is speed?

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. Hence;

Ariele speed = 55 feet / 234 minutes

In 15 minutes, the distance covered is:

Distance = (55 feet / 234 minutes) * 15 minutes = 3.5 feet

After 15 minutes, Ariele would be 3.5 feet away from the rim.

Find out more on speed at: https://brainly.com/question/4931057

work out the area of a circle with diameter 1.8cm take pie to be 3.142 and give your answer to 1 decimal place.

Answers

Area of a circle = Pi x r^2
Area = Pi x 3.24
Area = 10.18...
Area = 10.2 cm

I need help im lazy :)

Answers

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

→All you need to do for this equation is, divide both sides by -300. You do this to get "x," by itself:

[tex]2400=-300x[/tex]

[tex]\frac{2400}{-300} =\frac{-300x}{-300}[/tex]

[tex]-8 = x[/tex]

Which of the following is a perfect square? 221 196 224 176 Need the answer as quick as possible

Answers

Answer:

196

Step-by-step explanation:

196 is the perfect square number, because its square root is 14.

[tex] \sqrt{196} = 14[/tex]

part 1. Find the value of the trig function indicated, use the Pythagorean Theorem to find the 3rd side if you need it​

Answers

Answer:  [tex]\bold {1)\ \cos\ \theta}=\dfrac{\sqrt2}{2}\qquad 2)\ \tan \theta =\dfrac{1}{3}\qquad 3)\ \cos\ \theta=\dfrac{3\sqrt{13}}{13}\qquad 4)\ \cos\ \theta = \dfrac{2\sqrt5}{5}}[/tex]

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c², where "c" is the hypotenuse

[tex]1)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt2}\quad =\large\boxed{\dfrac{\sqrt2}{2}}[/tex]

Note: 2² + 2² = hypotenuse²  →  hypotenuse = 2√2

[tex]2)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{2}{2\sqrt2}\quad =\dfrac{5}{15}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]

Note: hypotenuse not needed for tan θ

[tex]3)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3}{\sqrt{13}}\quad =\large\boxed{\dfrac{3\sqrt{13}}{13}}[/tex]

Note: 2² + 3² = hypotenuse²  →  hypotenuse = √13

[tex]4)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{2\sqrt5}\quad =\large\boxed{\dfrac{2\sqrt5}{5}}[/tex]

Note: hypotenuse given in problem

find the value of x​

Answers

Answer:

x= -12

Step-by-step explanation:

∠2= (180°-36°)÷2 (base ∠s of isos. △)

∠2= 72°

m∠2= x +84

72= x +84

x= 72 -84

x= -12

Answer:

The value if x is -12.

Step-by-step explanation:

Given that isosceles triangle have a same pair of angle. So in order to find the angles, you have to subtract it from 180° and 36°.

[tex]θ + θ + 36 = 180[/tex]

[tex]2θ = 180 - 36[/tex]

[tex]2θ = 144[/tex]

[tex]θ = 144 \div 2[/tex]

[tex]θ = 72[/tex]

Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :

[tex]x + 84 = 72[/tex]

[tex]x = 72 - 84[/tex]

[tex]x = - 12[/tex]

Ruth bought metal rods that are each 3.8 centimeters long. If Ruth lines up 7 of them end-to-end, how long will the line be?

Answers

Answer:

26.6 Cm

Step-by-step explanation:

This is easy, just multiply 3.8 by 7.

3.8 x 7 = 26.6

I'm always happy to help :)

Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degrees and the measure of the first arc formed is x. One tangent intersects the circle at a point labeled Earth.
A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see?

Answers

Answer:

Your answer is 160

Step-by-step explanation:

Just did this on edg.

The measurement of asked arc is 160°.

What is the arc of a circle?

An arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that. the two tangents intersect at a point outside the with circle center O

The angle formed between the two tangent = 20°

The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see (refer to the attached figure)

The angle x is given by the relationship;

x = 2 × (90 - v/2)

Where;

v = The angle formed at the point where the two tangent meet = 20°

Therefore;

x = 2 × (90 - 20/2) =  2 × (90 - 10) =  2 × 80  = 160°

The arc measure, x, that the satellite can see = 160°.

Hence, the measurement of asked arc is 160°.

Learn more about arc, click;

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PLEASE HELP!! QUICK. MULTIPLE CHOICE

Answers

Question 3 answer is C

Answer:

4 is a

Step-by-step explanation:

This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.

Answers

Answer:

Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

What decrease the probability of something happening?

Answers

Answer:

When you add more to your sample space.

Imagine you have a 6-sided dice and you change it to a 10-sided dice. Your possibilities of getting any number (excluding 7, 8, 9, 10), just went from 16.67% to 10%.

A basket ball that has a diameter of 20cm is placed in a box so that it touches all inner sides of a box. What is the volume NOT occupied by the ball when it is placed in the box?

Please help me asap

Answers

Answer:

3811.21

Step-by-step explanation:

volume of sphere is 4188.79 using the formula for the volume of a sphere.

volume of the box is=20x20x20=8000

8000-4188.79=3811.21

Triangle P Q R is shown. Angle R P Q is 99 degrees and angle P Q R is 31 degrees. The length of Q R is 11. Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth.

Answers

Answer:

[tex]\angle PRQ = 50^\circ[/tex]

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

[tex]\angle RPQ =99^\circ[/tex]

[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]

To find:

[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]

We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]

i.e.

[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]

To find the sides, we can use Sine rule:

As per Sine rule:

[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]

Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.

Using Sine rule in given triangle:

[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

What is the range of the function g for the given domain?
g(x) = 2x - 5
D = (-2, 0, 2, 4)

Answers

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

To find the range, plug in each value of the domain into the given equation for x.

g(-2) = 2 (-2) - 5 = -9

g(0) = 2 (0) - 5 = -5

g(2) = 2 (2) - 5 = -1

g(4) = 2 (4) -5 = 3

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

We can determine the range of the function g by inputting each given domain value into the function itself.

g(x) = 2x - 5 and D = {-2, 0, 2, 4}

g(-2) = 2(-2) - 5 = -4 - 5 = -9

g(0) = 2(0) - 5 = 0 - 5 = -5

g(2) = 2(2) - 5 = 4 - 5 = -1

g(4) = 2(4) - 5 = 8 - 5 = 3

Therefore, R = {-9, -5, -1, 3}.

I hope this helps!

The table shows the polar bear population in the North
Atlantic's Baffin Bay in 1997 and 2004.
Between 1997 and 2004, Baffin Bay's polar bear
population
528 is about
<
percent of 2074.​

Answers

Answer:

Between 1997 and 2004, Baffin Bay’s polar bear population  

decreased

.

528 is about  

25

percent of 2074.

Step-by-step explanation:

Answer:

decreased

25

Step-by-step explanation:

Solve the system algebraically. -6x+3y=27 -5x-3y=-16

Answers

Answer:

A) -6x+3y = 27

B) -5x-3y = -16 We add the 2 equations

-11x = 11

x = -1

Putting 1 into equation B)

5 -3y = -16

-3y = -21

y = 7

Step-by-step explanation:

Which angle is adjacent to 24?
22
23
25
28

Answers

The abjacent to 24 is 28

Answer:

The answer is C

Step-by-step explanation:

got it right


I NEEED HEEELLLPP



Which sequence of transformations could be used to map quadrilateral RSTU onto R"S"T"U"?


T(−1, −3) ° ry−axis
T(−3, −1) ° ry−axis
T(−1, 3) ° R0,180°
T(3, −1) ° R0,180°

Answers

Answer:

c) T(−1, 3) ° Rotation,180°

Step-by-step explanation:

Explanation:-

First we will apply transformation is

Rotation of 180°  then we will apply transformation is changes  

(x,y) to (-x ,-y)

a)

Given vertex T(  2 ,2 )

T( 2 ,2 )→ T( -2 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)

The new vertex is  T¹ ( -3 ,1)

b)

Given vertex U(  4 ,2 )

U( 4 ,2 )→ U( -4 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)

The new vertex is  U¹ ( -5 ,1)

c)

Given vertex R(  3 ,5 )

R( 3 ,5 )→ R( -3,-5)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)

The new vertex is  R¹ ( -4 ,-2)

d)

Given vertex S(  1 ,3 )

S( 1 ,3 )→ S( -1 ,-3)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

S( -1,-3) → S¹ ( -1 -1 ,-3 +3)

The new vertex is  S¹ ( -2,0)

A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until r = 15 of them have correctly diagnosed the problem. Suppose that this requires diagnoses by 20 different mechanics (so there were 5 incorrect diagnoses). Let p = P(correct diagnosis), so p is the proportion of all mechanics who would correctly diagnose the problem. What is the mle of p?

Answers

Answer:

the mle of P=0.833

Step-by-step explanation:

X=incorrect answer

And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

help please, i will mark brainliest

Answers

Answer:

40

Step-by-step explanation:

We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40

40 beats at 1 minute → 40 ÷ 1 = 40

80 beats at 2 minutes → 80 ÷ 2 = 40

120 beats at 3 minutes → 120 ÷ 3 = 40

160 beats at 4 minutes → 160 ÷ 4 = 40

200 beats at 5 minutes → 200 ÷ 5 = 40

A quadrilateral has all sides and angles congruent. Which name best describes the figure? a. rhombus b. square c. rectangle d. trapezoid

Answers

Answer:

It's a square

Step-by-step explanation:

Because a square has all equal sides, and its an quadrilateral, and we know its square bc the other shapes dont really have that.

The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent.

If X to the second power equals 30, what is the value of X?

Answers

Answer:

see below

Step-by-step explanation:

x² = 30

x = ±√30 (take the square root of both sides)

The value of X in the equation is:

√30 or 5.48

If X to the second power equals 30, what is the value of X?

An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.

If X to the second power equals 30 can be written as:

X² = 30

To find the value of X, take the square root of both sides of the equation. That is:

√X² = √30

X = √30

X = 5.48

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I need help urgently factorise :a squared divided by 8 minus b squared divided by 50.​

Answers

Answer: 1/200 * (5a-2b)(5a+2b)

Step-by-step explanation:

a^2/8 - b^2/50

Factor out 1/200,

1/200 * (25a^2 - 4b^2)

Using a^2 - b^2 = (a-b)(a+b),

1/200 * (5a-2b)(5a+2b)

Answer:

1/2(a/2+b/5)(a/2-b/5)

Step-by-step explanation:

a²/8- b²/50= 1/2(a²/4- b²/25)= 1/2(a/2+b/5)(a/2-b/5)

Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not

Answers

Answer:

6 is not a solution to the given equation.

Step-by-step explanation:

We are given the equation [tex]x^2-4=5x[/tex]

We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.

[tex]x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30[/tex]

As 32 ≠ 30, 6 is not a solution to the given equation.

A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.

Answers

Answer:

There are 8 possible outfit choices

Step-by-step explanation:

you multiply 2 times 4 because there each shirt can pair to each pants once

What are the x- and y-intercepts of the graph of 5x – 4y = –20?

x-int: 5, y-int: –4

x-int: –5, y-int: 4

x-int: –4, y-int: 5

x-int: 4, y-int: –5

Answers

X-intercept is -4 and the Y-intercept is 5

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