Which equation represents the statement "One-fourth more than a number is equal to two-thirds?"

Answers

Answer 1

Answer: 1/4 + x = 2/3

Step-by-step explanation:

One fourth is written as 1/4, more than is an addition sign, a number means “x”, is equal means = (equal sign), and two thirds is written as 2/3

Answer 2

Answer:

[tex]x + \frac{1}{4} = \frac{2}{3}[/tex]

Step-by-step explanation:

The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:

Let the number be x.

Therefore, One-fourth more than a number = [tex]x + \frac{1}{4}[/tex]

Now,

[tex]\huge \red{\boxed{x + \frac{1}{4} = \frac{2}{3}}}[/tex]

This is the required answer.


Related Questions

Lesson 16

Problem 1

A landscape architect is designing a pool that has this top view:

How much water will be needed to fill this pool 4 feet deep?

Answers

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

21 is 71%, of what number

Answers

Answer:

29.58

Step-by-step explanation:

because 21 times 39= 29.58

Answer:

29.57746479 = N

Step-by-step explanation:

Is means equals and of means multiply

21 = 71% * N

21 = .71 N

Divide each side by .71

21/.71 = .71N/.71

29.57746479 = N

6x2 - 21 = 33; Solve and what are the x-intercepts of this quadratic equation ?

Answers

Solving by factoring.
6x^2 - 21 - 33 = 0
6x^2 - 55 = 0
x^2 - 9 = 0
(x-3)(x+3) = 0
x - 3 = 0
x + 3 = 0
x1 = -3
x2 = 3

An angle measures 72° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

that would be 108

Step-by-step explanation: it's 108 b/c supplementary angle/ either of two angles whose sum is 180°.

Answer:

Let the angle be x .

Its supplementary = 180 - x

Given:

x = 180 - x - 72

2x = 108

x = 54

Other angle = 180 - 54 = 126

Please help ASAP!!! Algebra question in pictures

Answers

Answer:

2nd one

Step-by-step explanation:

How many degrees is x?


32°


58°


64°


90°





How many degrees is y?


32°


58°


64°


90°

Answers

X is 64° and Y is 32°

the value of X is 58 degree.

The value of y is 32 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

you are purchasing a house 12 years from now the estimated purchase price is $171,600 you want to make a 20% down payment how much do you need to save per month to reach your goal​

Answers

Answer:The answer would be $238.33 a month

The black line is the graph of y= x. Which of these
equations could represent the blue line?
yt

y = 0.001x
y = 2x
y = -x
y = 1/2x

Answers

y= 1/2x would be the answer.
Y=1/2x is the answer

What is the first step to solve this equation: 3x =44

Answers

You need to divide 3 on both sides

The correct first step to solve the equation 3x = 44 is to divide both sides by 3.

To solve the equation 3x = 44, the first step is to isolate the variable x on one side of the equation.

To achieve this, you need to undo the multiplication by 3 on the left side of the equation.

Since 3x means 3 multiplied by x, you need to divide both sides of the equation by 3.

By dividing both sides of the equation by 3, you are essentially canceling out the effect of the multiplication by 3 on the left side.

This step allows you to isolate the variable x.

So, the correct first step to solve the equation 3x = 44 is to divide both sides by 3.

Hence the correct option is 4th.

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Divide the number of meters by______ to find the number of laps?

Answers

Answer: Please include more information, for now this is indeterminable

Step-by-step explanation: Sorry, add more info and I will be sure to answer

will mark bianleast 10 ponits
What is the perimeter of a regular 12-sided polygon with side lengths of 2 inches?

10 in.

14 in.

24 in.

144 in.

Answers

Answer:

24 in

Step-by-step explanation:

12 sides times 2in = 24in

-201 = -3 +6(-6x – 3) Solve Multi-Step equation

Answers

Answer:idk

Step-by-step explanation:

What is the simplified form of the following expression?

RootIndex 3 StartRoot StartFraction 4 x Over 5 EndFraction EndRoot

Answers

Answer:

its C

Step-by-step explanation:

I took the test

The simplified expression of the ∛4x / 5 is ∛4x / ∛5

How to simplify an expression?

The expression can be simplified as follows:

∛4x / 5

using law of indices

[tex]\sqrt[a]{b} =b^{\frac{1}{a} }[/tex]

∛4x / 5 = [tex](\frac{4x}{5} )^{\frac{1}{3} }[/tex]

Therefore,

∛4x / 5 = ∛4x / ∛5

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what is the name of the relationship between 1 and 8

Answers

Answer:

The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex] are Alternate Exterior Angles.

Step-by-step explanation:

Alternate Exterior Angles, are pair of angles that lie on the outside of the traversal and lie on the opposite sides.

The required name of the relationship between 1 and 8 is alternate exterior angles

The correct option is (c)

What is Alternate Exterior angle?

When a transversal cut the pair of parallel lines then the alternate exterior angles are congruent.

How to find alternate exterior angle?

Consider the given pair of parallel lines and transversal

we have

angel 1 and 5 are corresponding angles

angle 2 ad 6 are corresponding angles

angle 1 and 8 are alternate exterior angle

angle 2 and 7 are also alternate exterior angle

Therefore the correct option is (c)

This is the conclusion to the answer.

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HELP ILL MARK YOU AS BRAINILIEST

Answers

Answer:

D

Step-by-step explanation:

rise over run!

Answer:

I'm not sure what the answer is. This app is on my mom's phone and it's late. If you have any questions starting Monday I can help you then

A square pyramid has a base area of 25 square inches, and a volume of 150 cubic inches. What is the height of the pyramid in inches?

Answers

Answer:

Step-by-step explanation:

Find the 8th term in the sequence

-1/2, -1, -2, -4......

Answers

Answer:

-64

Step-by-step explanation:

geometric

equation

a1(r)^n-1

-1/2(2)^8

Given sequence is -1/2, -1, -2, -4,...

We get,

a1 = -1/2

r = 2

n = 8

So,

a8 = a.r^(n-1)

a8 = -1/2 * 2^(8-1)

a8 = -1/2 * 2^7

a8 = -1/2 * 128

a8 = -64

Therefore, 8th term of the sequence is -64

What is geometric sequence example?

A common ratio multiplied to each term to get the next term is a non-zero number is a geometric sequence. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, … , where the common ratio is 2.

What are the types of sequences?

- Arithmetic sequences

- Geometric sequences

- Quadratic sequences

- Special sequences

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PLEASE ANSWER DESPERATE!!
It's mmultiple choice so it has to be one of these:
461.7
889.7
1161.3

Answers

Answer:

Volume, [tex]V=889.7\ m^3[/tex]

Step-by-step explanation:

From the attached figure,

Radius of shape is 5 m

Height of the cylindrical part is 8 m

It is required to find the volume of the given shape. The volume of the given object is equal to the sum of volume of cylinder and volume of hemisphere. So,

[tex]V=\pi r^2h+\dfrac{2}{3}\pi r^3\\\\V=3.14\times (5)^2\times 8+\dfrac{2}{3}\times 3.14\times 5^3\\\\V=889.7\ m^3[/tex]

So, the volume of the figure is [tex]889.7\ m^3[/tex].

Li bought his dog Spot a huge bone. Spot chews 4 inches off the bone every day. What number describes the change in the length of the bone after 3 days?

Answers

Answer:

4 x 3 = 12

12 is the answer. Have a great day

Step-by-step explanation: Brainliest please

How many different fractions less than one can be made with these numbers 6 1 5 8 4 make sure you list the fractions​

Answers

Answer:

We reorder them and see how many fractions we can make.

1/4 1/5 1/6 1/8

4/5 4/6 4/8

5/6 5/8

6/8

We see there are 10 fractions made in total

Step-by-step explanation:

Find all complex solutions of x^2+5x+13=0

Answers

Answer:

x^2+5x+13=0

Step-by-step explanation:

x upper 2 and 5x

((2ab)/(a ^ - 5 * b ^ 2)) ^ - 3 Which is the simplified form Assume a ne0 b ne0

Answers

Answer:

The correct options is (a)

The simplified form of the given expression (2ab/a⁻⁵b²)⁻³ is b³/8a¹⁸. The correct answer is option A.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given as follows:

(2ab/a⁻⁵b²)⁻³

= [(2ab) / (a⁻⁵b²)]⁻³

Use the negative exponent rule: a⁻ⁿ = 1/aⁿ and simplify the denominator

= [(2a.a⁵b) / (b²)]⁻³

Combine the coefficients 1 and 5 to get

= [(2a⁶) / (b)]⁻³

= 1/[(2a⁶) / b]³

= 1/[(2a⁶)³ / b³]

Cube the resulting expression to get

= b³/8a¹⁸

Therefore, b³/8a¹⁸ is the simplified form of (2ab/a⁻⁵b²)⁻³.

Hence, the correct answer is option A.

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According to the Associative Property, which expression is equal to (25)(9)(4x)?



(9)(25)(4) + x


25(9 + 4x)


25 + 9 + 4x


(25 * 9 * 4)(x)

Answers

Answer:

(25x9x4)(x)

Step-by-step explanation:

They both equal 900x

PLS PLS HELP!!!!!!
Let f(x)=x^2 + 5 and g(x)=x+5/x find (g°f)(-3)

A. 1/4

B. 14/19

C. 19/14

D. 49/9

Answers

Answer:

C

Step-by-step explanation:

Okay, so for this, you need to know that (g°f)(x) = g(f(x))

in order words, we are using the f(x) equation as X for the g(x) equation..

[tex]\frac{ x^{2} +5 + 5}{ x^{2} +5}[/tex] = [tex]\frac{x^{2}+10}{x^{2}+5}[/tex]

Now, we just plug in -3 for X

[tex]\frac{(-3)^{2} + 10 }{(-3)^{2} + 5} =\frac{9 + 10}{9 + 5} = \frac{19}{14}[/tex]

C

(3×4) ÷ (24 - 18) =
Please Answer

Answers

Answer:

2

Step-by-step explanation:

The answer is 2 because the expression tells you that the numbers in parentheses are the ones you start with first. In this case you need to start from left to right since both sides are in symbols.

1. 3x4=12

2. 24-18=6

3. 12/6=2

And there you have it! Please leave a vote and a thanks! Let me know if it's correct!

what is the area of an equilateral triangle whose altitude is 6?

Answers

So the right answer is 15.57.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

~pragya

Answer:

the answer is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!!

Answer fast 50 points

Answers

Answer:

im pretty sure its b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When x < 1, y = 1, which is a horizontal line. This eliminates the last 2 options because the red line (which represents x < 1) is not a horizontal line. However, if we look at the second option, we see that the red line is y = 2, not y = 1, and therefore the answer is A. Hope this helps!

23. The chair lift at a ski resort rises at an angle of 21° and attains a vertical
height of 1575 feet. How far does the chair lift travel up the side of a
mountain?

Answers

Answer: x = 4394.9

Step-by-step explanation:

x.sin(21) = __1575__ . x

                      x

cross out the x from both side then

_x.sin (21)_____ =  _1575_____

sin(21)                         sin(21)

x = 4394.9

tell me if that is the right answer

Mark me as brainliest if i got it right

|5−4r|=17 find r Answer in as many ways as possible IF you don't answer the question and fool around I will report you

Answers

Answer:

r1= -3

r2= (11/2)

Step-by-step explanation:

5-4r=17

-4r=17-5

-4r=12

r=13

and

5-4r=-17

-4r=-22

r= 11/2


The height of a parallelogram is 6.5 cm.
The base is 13 cm. What is the area of the
parallelogram?

Answers

Area of parallelogram = base × height

Area = 6.5 × 13 = 84.5 cm²

[tex]area = base \times height \\ area = 13cm \times 6.5cm \\ area = 84.5cm {}^{2} [/tex]

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