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

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:

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

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.

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

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]

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

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

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]

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

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

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.

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.

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:

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

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

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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)

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!

can someone help me with this question ​

Answers

Answer:

A 50

B 10

C 12/5

D 5

E 21

F 100

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:

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

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what is f(x) = 2 ∗ 5−x

Answers

x=10 if you are looking for the x value

Step-by-step explanation:

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

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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 :)

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.

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

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:

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

I need this answer please tell me the answer

Answers

Answer:

less than

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

I believe

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]

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:

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