Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction

Answers

Answer 1

Answer:

17 is added to both numerator and denominator.

Step-by-step explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]

Therefore, 17 is added to both numerator and denominator.


Related Questions

Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 10 meters and 3 meters. The second rectangle has side lengths of 3 meters and 8 meters. What is the combined area? *

Answers

Answer:

54

Step-by-step explanation:

Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)

Maya is asked to find the GCF of each term in the expression 32 x y minus 18 y. Her work is shown below. Factors of 32xy: 1, 2, 4, 8, 16, 32, x, y Factors of 18y: 1, 2, 3, 6, 9, 18, y GCF: (1) (2) (x) (y) The GCF is 2 x y. Which best describes the accuracy of Maya’s solution? Maya’s solution is accurate. Maya factored 32xy incorrectly. Maya factored 18y incorrectly. Maya factored correctly, but did not find the correct GCF.

Answers

Answer: The answer is "Maya factored correctly, but did not find the correct GCF."

Step-by-step explanation:

I just took the quiz on Edgenunity.

Answer:

Answer: Mya factored correctly, but did not find the correct GCF.

Step-by-step explanation:

what is s+53=g so g=68 so how old is sweet age add

Answers

Answer:

s = 15

Step-by-step explanation:

Using the given information to solve for s, the work would look something like this:

s + 53 =g, g=68

s + 53 = 68 (Subtract 53 from both sides to get s by itself)

53 - 53 = 0, 68 - 53 = 15

s = 15

Therefore, s is equal to 15

Hope this helps! Have a good rest of your day!

Answer:

15

Step-by-step explanation:

This is very simple, first we write the equation, s+53=g, and plug 68 into "g", so now we have s+53=68. Subtract both sides, s+53-53=68-53, and this equals 15 years of age

Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?

Answers

she will need to find the perimeter of the wall and the perimeter is 150ft

Answer:Perimeter, 50ft

Step-by-step explanation:since it is around the answer is 50 ft

There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.

Answers

Answer:

Step-by-step explanation:

The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5

The four probability is basic probability, compound event, independent and dependent event and the probability line.

I hope it'll help you much

Thank you for asking

0.5(-14+12.6)
———————
9.32+(-7.92)

Answers

Steps to solve:

0.5(-14 + 12.6)

~Add whats in parenthesis

0.5(-1.4)

~Multiply

-0.7

Steps to solve:

9.32 + (-7.92)

~Simplify

9.32 - 7.92

~Subtract

1.4

Best of Luck!

Identify the measure of arc HD◠.

The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.

Answers

it is 17 bc the 18 times 34

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

We have,

In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.

Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.

The intercepted arc closest to angle DRL has a measure of 18 degrees.

Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.

The measure of this arc is given as 102 degrees.

Therefore,

The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.

Learn more about arc lengths here:

https://brainly.com/question/16403495

#SPJ2

The areas of the squares adjacent to two sides of a right triangle are 32 units^2 2 squared and 32 units^2 Find the length, xxx, of the third side of the triangle.

Answers

Answer:

8 units

Step-by-step explanation:

If the area of the squares are 32 units^2, we have that:

Area = Side * Side

Side^2 = 32

Side = sqrt(32) = 5.657 units

So as the squares are adjacent to two sides of the triangle, we have that the triangle has two sides of 5.657 units

As it is a right triangle, we can use the Pythagoras' theorem:

c^2 = a^2 + b^2

c^2 = 5.657^2 + 5.657^2

c^2 = 64

c = 8 units

Answer:

its 8

Step-by-step explanation:

Solve
8- (2x - 9) = 17 - 2x
Nchey

Answers

Answer: Infinite solutions

Step-by-step explanation:

[tex]8-(2x-9)=17-2x[/tex]

Begin by distributing the negative into the parenthesis.

[tex]8-2x+9=17-2x[/tex]

Combine like terms;

[tex]17-2x=17-2x[/tex]

Subtract 17

[tex]-2x=17-17-2x[/tex]

[tex]-2x=-2x[/tex]

Add 2x

[tex]-2x+2x=0\\0=0[/tex]

Equation: 8 - (2x - 9) = 17 - 2x

First, we distribute the - sign.

8 -2x + 9 = 17 - 2x

Then, we combine like terms if there any on both sides.

17 - 2x = 17 - 2x

Now, we can see the equations are equal to each other.

However, we can go a step further and solve for x.

17 - 2x = 17 - 2x

Subtract 17 from both sides.

-2x = -2x

Divide both sides by -2.

x = x

Therefore, x has no value or is 0.

11(4t + 1) what is the answer

Answers

Answer:

44t + 11

Step-by-step explanation:

11(4t + 1)

Distribute 11 amongst the values inside the parenthesis

11(4t) + 11(1)

Multiply

44t + 11

Hope this helps :)

Answer:

[tex]44t + 11[/tex]

Step-by-step explanation:

[tex]11(4t + 1) \\ = 44t + 11[/tex]

solve for x

11 to the x power is equal to 11 to the 4th power times 11 to the 5th power.

exponets.

Answers

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

[tex]11^{x}[/tex] = [tex]11^{4}[/tex] × [tex]11^{5}[/tex] = [tex]11^{(4+5)}[/tex] = [tex]11^{9}[/tex]

Since the bases on both sides are common, then equate the exponents

x = 9

I need this answer please tell me the answer

Answers

Answer:

less than

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

I believe

can someone help me with this question ​

Answers

Answer:

A 50

B 10

C 12/5

D 5

E 21

F 100

A bag of marbpes contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marbpe. What is the probability of reaching into the bag and selecting a yellow marble

Answers

Answer:

1/6 or 1.6666666

Step-by-step explanation:

12 marbles, 2 yellow

12/2= 6

1/6

a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length

Answers

Answer:

2x+2(x+5)) = 24

Step-by-step explanation:

2x+ 2(x+5) = 24

x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.

what is the correlation coefficient for the data in the table -0.93,-0.27,0.27.0.93

Answers

The answer to this question is the letter D.

The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.

How to find the correlation coefficient for the data table -0.93,-0.27, 0.27, 0.93?

This is because the correlation coefficient focuses on the linear relationship between two variables.

numbers between -1 and 1 should be one of the values related to the bill. As you can the letter D is the closest and most realistic answer.

Learn more about correlation on : https://brainly.com/question/16440751

#SPJ2

what is f(x) = 2 ∗ 5−x

Answers

x=10 if you are looking for the x value

Step-by-step explanation:

What happens to the parabola when a<1 compared to the parent function?

Answers

Answer: The parabola is wider than the parent function

Step-by-step explanation:

If "a" is a fraction less than one, then the parabola becomes wider.

See graph (attached)

what is m equal to.
4(m − 13) − 8 = 8

Answers

Answer:

m = 17

Step-by-step explanation:

[tex]4(m - 13) - 8 = 8 \\ 4(m - 13) = 8 + 8 \\ 4(m - 13) = 16 \\ (m - 13) = \frac{16}{4} \\ m - 13 = 4 \\ m = 4 + 13 \\ \huge \red { \boxed{m = 17}}[/tex]

the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers

Answers

Step-by-step explanation:

The three numbers are 23 25 and 27

23 + 25 + 27 = 75

The smallest number is 23

What the percent of 160 is 56? Use the bar model

Answers

Answer:

35%

Step-by-step explanation:

See attached for visual

160= 8*20 8 = 1/20 = 5% of 16056= 8*77*5% = 35%

56 is 35% of 160

A rectangular prism has a length of 19ft, a height of 19ft, and a width of 6ft. What is its volume, in cubic ft?

Answers

Answer:

[tex] \boxed{Volume \: of \: rectangular \: prism = 2166 \: {ft}^{3}} [/tex]

Explanation:

Volume of rectangular prism is same as volume of cuboid

Length = 19 ft

Width = 6 ft

Height = 19 ft

Volume of rectangular prism = Length × Width × Height

= 19 × 19 × 6

= 19² × 6

= 361 × 6

= 2166 ft³

Help me answer this question pls

Answers

I believe it's a scalene triangle.

We could mark that ME = d, where d= diamater.

For segment TE, we can tell it is different length then all of the other lines.

Now, would MT be equivalent to ME in length? No. I can tell that segment MT is a tiny bit shorter than ME.

Why? If we look at line TE, we can tell that it is not perfectly horizontal; it is slanted to the left. By logic, we can deduce that because the left slant brings T ever so closely to M, there is a shorter distance between M and T than M and E.

If none of the sides are the same length, the triangle is scalene.

If you are able, I'd really appreciate a rating, or if you have questions, I'd be happy to answer.

set f(y)=x and solve for y

Answers

Answer:

f = 1

y = 0

Solved for y

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors.

Step  2  :

Theory - Roots of a product .

Step 3 solving a Single Variable Equation.

Answers:

 f = 1

y = 0

Hope this helps.

I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?

Answers

Answer:

[tex]\frac{7}{16}[/tex]

Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.

So, since the total is 16, this will be the denominator, and the 7 will be the numerator.

So, it will be [tex]\frac{7}{16}[/tex]

A swimming pool is in the shape of a right rectangular prism. The base of the pool has an area of 216 square feet. When the pool is completely filled, it holds 1,944 cubic feet of water. What is the depth of the water when the pool is completely full?

Answers

Answer:

Just divide

1944/216=9

9 feet deep

Hope this helps

Step-by-step explanation:

s varies directly as t, and = 8 when = 16. Find the constant of variation and write a direct variation equation relating s and t. Then find t when = 16. (Write answers in decimal form.)

constant of variation:

direct variation equation:

when s=16, t=

Answers

Answer:

aS

Step-tep explanation:

A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a 6-pack of juice cans? Tell the steps you used to calculate your response. *

Answers

Answer:

It was a cylinder shape

volume of cylinder is

= \pi {r}^{2} h

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

6(3.142 \times  {3.3}^{2}  \times 12.1) \\ =  6(3.142 \times 10.89 \times 12.1) \\ =  6(34.21638 \times 12.1) \\  = 6(414.018198) \\ = 2484.109188 \\   = 2484.11 \: (2d.p.)

Answer

2484.11

Step-by-step explanation:

How can you find f(2) if f(x) = -3x2 – 7?

Answers

Answer:

-3(2) x 2 -7 = -6x2-7 =-19

Step-by-step explanation:

The value of f(2) for the given function f(x) = -3x² – 7 will be -19.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

f(x) = -3x² – 7

Put x = 2

f(2) = -3(2)² - 7

f(2) = -2(4) - 7

f(2) = -8 - 7 = -15

Hence "The value of f(2) for the given function f(x) = -3x² – 7 will be -19".

For more about the function,

brainly.com/question/23712366

#SPJ5

The transformation from the function f(x) = 3X to the function f(x)= 3x+4 indicate

Answers

Explanation this function of the graph is leveled by x axis
Answer: that is it examples
Other Questions
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field How does the need for resources affect the relationships organisms in an ecosystem? What do scientist mean by flattening the curve and why is it important? Create a title and summarize the following text: When we look into the night sky we do so from within our own galaxy, the Milky Way, which is home to several hundred billion stars. There are countless other galaxies of various sizes and shapes scattered throughout the Universe. Some are similar to ours, but others defy even the wildest of imaginations. Excerpt from Stars and Planets: the World in Your Hands by Smithsonian. The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.a. Find the probability of a pregnancy lasting 308 days or longer?b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature. Ahmed, a lawyer, sold his car to Carlos. Has an implied warranty of merchantability been created by this transaction? No, because Ahmed is not a merchant. Yes, because if the car is defective Carlos will have a right to return in to Ahmed. No, Ahmed has not implied so either orally or in written. Yes, because a car is "goods" and the Uniform Commercial Code applies to contracts for the sale of goods. fathi has $1.10 in his printing account. each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each sides of the sheet. Write a recursive formula for the sequence -1,-2,-3,-4... Which stage in the chart best represents a pioneer species?Stage Organisms PresentNoneBLichens and MossGrassDShrubs and Small TreesEForestabO O O OStage AStage BStage CStage Ed Use a net to find the surface area of the prism 8 in 6 in 15 in How did the presidency of James Monroe begin? a. with new economic worries b. with worries about foreign policy c. with bitter feeling among Federalists d. with a strong election victory solve the following 2(X+3)=X-4 Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph? What are 2 examples of conservation efforts in the marine environment? A clock face a circumference of 166 cm. what is the diameter The ecosystem you're talking about, where you have a lot of mosses, grasslands, and hardwoods, coupled with siberian tigers, sheep, antelopes, and leopards, would be a tundra Find the area of the shape plssss help A customer seeks to buy a new computer for private use at home. The customer primarily needs the computer to use the Microsoft PowerPoint application for the purpose of practicing presentation skills. As a salesperson what size hard disc would you recommend and why? During WWII over 50 million people would die and 1/2 of those people were Which of the following sentences is punctuated correctly? A. She is an intelligent, creative, responsible student. B. She, is an intelligent, creative, responsible student C. She, is an intelligent creative responsible student. D. She, is an intelligent, creative, responsible, student