Write the decimal as a fraction.0.6 = [?]Simplify your answer completely.

Answers

Answer 1

0.6 is a decimal and it can be converted to fraction by moving the dot to the right sides and dividing by the number of zero that existed by the dot movement to the right.

[tex]\begin{gathered} 0.6=\frac{6}{10}=\frac{3}{5} \\ \end{gathered}[/tex]


Related Questions

What is X for
3(2x + 11) + 4(2x + 3) = 9(2x + 13) - 3x

Answers

Answer:

x = -72

Step-by-step explanation:

3(2x + 11) + 4(2x + 3) = 9(2x + 13) - 3x

(6x + 33) + (8x + 12) = (18x + 117 ) - 3x

14x + 45 = (18x + 117) - 3x

14x + 45 = 15x + 117

                         -45

14x  = 15x + 72

-15x

-1x = 72

       /-1

x = -72

Jessica used 2/3 yard of fabric to make scarf can she make 2 of these scarfs with 1 3/4 yards of fabric, and why?

Answers

SOLUTION:

Step 1;

In this question, we are given the following;

Jessica used 2/3 yard of fabric to make scarf can she make 2 of these scarfs with 1 3/4 yards of fabric, and why?

Step 2:

The details of the solution are as follows;

Choose the answer that represents the product below as an exponentialexpression(8.2). (8.2). (8.2)A. 3.8.2B. 8.2^4C. 3^8.2D. 8.2^3

Answers

We have

[tex]\mleft(8.2)\cdot(\mright?8.2)\cdot(8.2)[/tex]

the base is 8.2 and the exponent is the number of times the number repeated in this case it is 3 therefore the answer is

[tex]8.2^3[/tex]

ANSWER

D. 8.2^3

An inverse variation includes the points (-4, 3) and (-1, n). Find n.

Answers

In a inverse variation you have two variables, in this case (x,y) x and y, and a constant value k in the form:

[tex]y=\frac{k}{x}[/tex]

When x increase y decreases and when x decreases y increases (inverse variation)

As you have two (x,y) data;

(-4, 3 ) and (-1 , n)

And both have the same constant k.

[tex]\begin{gathered} 3=\frac{k}{-4} \\ \\ n=\frac{k}{-1} \end{gathered}[/tex]

Solve in the first equation the k:

[tex]\begin{gathered} k=-4\cdot3 \\ k=-12 \end{gathered}[/tex]

Use the value of k= -12 to find n in the second equation:

[tex]n=\frac{-12}{-1}=12[/tex]Then , the value of n is 12

B.__ angles form a straight line.

Answers

Complete the sentences

A. All right angles are 90 degrees (by definition)

B. supplemenatry angles form straight line (by definition)

C. If two angles form a linear pair, then the are supplementary (by definition)

D. When two lines intersect, the inverse angles are congruent.

In the given image of two intersecting lines, you have m∠1 = 67°

E. angle 2 and angle 1 are supplementary, then;

m∠2 + m∠1 = 180°

m∠2 = 180° - m∠1

m∠2 = 180° - 67°

m∠2 = 113°

F. angle 3 and angle 1 are congruent, then:

m∠3 = m∠1 = 67°

Due to the given image, you have the following expressions:

2x + x + 60° = 180° supplementary angles

3x + 60° = 180° subtract 60 both sides

3x = 180° - 60°

3x = 120° divide both sides by 3

x = 120/3

x = 40°

Furthermore, for y, you have:

x + y + y + 20° = 180° supplementary angles

x + 2y + 20° = 180° replace x = 40

40 + 2y + 20° = 180°

2y + 60° = 180° subtract 60 both sides

2y = 180° - 60°

2y = 120°

y = 120/2 divide by 2 both sides

y = 60°

Answer: 180 degree's make up a straight line.

Step-by-step explanation:

I am stuck on trying to solve these two problems can someone please help me with themWrite an equivalent fraction for each problem below. 24/42 and 16/20

Answers

ANSWER :

The equivalent fractions are :

24/42 = 4/7

16/20 = 4/5

EXPLANATION :

From the problem, we have the fractions 24/42 and 16/20

For 24/42

We need to think of a number that the numerator and the denominator will be divisible of.

24 and 42 are both divisible by 6.

That will be :

[tex]\frac{24}{42}\rightarrow\frac{24\div6}{42\div6}=\frac{4}{7}[/tex]

Therefore, the equivalent fraction for 24/42 is 4/7

For 16/20

We will do the same procedure, 16 and 20 are divisible by 4.

That will be :

[tex]\frac{16}{20}\rightarrow\frac{16\div4}{20\div4}=\frac{4}{5}[/tex]

The equivalent fraction for 16/20 is 4/5

what is the range of the relation[(-5,0),(-4,-3),(-3,4),(-1,0),(-4,-1)]

Answers

The range is the set of values that the relation takes for the domain for which it is defined.

Is the set of values of the dependent variable.

In this case, we have the relation [(-5,0),(-4,-3),(-3,4),(-1,0),(-4,-1)]​.

The dependant variable takes the values: 0, -3, 4, 0 and -1. Some values are repeated.

We put the repeated values only once and sort to write the range.

Then, the range is R = {-3, -1, 0, 4}.

Answer: Range = {-3, -1, 0, 4}

Find the value of z.
x
y
1089
400
w
N
z = [? ]°

Answers

Answer:

34 degrees

Explanation;

Using the theorem below to solve the problem;

Angle at the vertex is equal to to half of the difference of angles of its intercepted arcs

Angle at the vaertex = z

difference of angles of its intercepted arcs = 108 - 40

difference of angles of its intercepted arcs = 68

Using the theorem

z = 1/2(108-40)

z = 1/2 * 68

z = 34 degrees

Hence the value of z is 34 degrees

Identify the slope and y-intercept from the graph, and then write the equation of the line. YA 3) 1. slope = y-intercept= y =

Answers

As shown on the graph:

y-intercept is the value of y at which x = 0

so, from the graph when x = 0 , y = -3

To find the slope use two points to calculate it

Using the points (0 , -3) and ( 4 , 4 )

the slope = Rise/Run

Rise = 4 - (-3) = 4 + 3 = 7

Run = 4 - 0 = 4

so, the slope = 7/4

The slope intercept form of the line is y = mx + c

Where m is the slope and c is y-intercept

Slope = m = (7/4)

y-intercept = c = -3

So,

y = (7/4) x - 3

A={1,2,3,4,5} and B={6,7,8,9}. Find A∪B

Answers

Answer:

{1, 2, 3, 4, 5, 6, 7, 8, 9}

Step-by-step explanation:

[tex]A \cup B[/tex] represents the set of all elements in [tex]A[/tex] or [tex]B[/tex].

Use this description to write the quadratic function in vertex form:The parent function f(x)=x^2 is vertically stretched by a factor of 2 and translated 14 units right and 6 units up.

Answers

The vertex form is given by:

[tex]y=a(x-h)^2+k[/tex]

The parent function is:

[tex]f(x)=x^2[/tex]

The function is vertically stretched by a factor of 2 :

[tex]2f(x)=2x^2[/tex]

and translated 14 units right:

[tex]2f(x-14)=2(x-14)^2[/tex]

and 6 units up:

[tex]2f(x-14)+6=2(x-14)^2+6[/tex]

Answer:

[tex]g(x)=2(x-14)^2+6[/tex]

Four friends are playing a game. 36 cards are dealt out between the friends. Which equation can be used to find how many cards each person receives

Answers

Given

Four friends are playing a game.

36 cards are dealt out between the friends.

To find: Which equation can be used to find how many cards each person receives.

Explanation:

It is given that,

Four friends are playing a game.

36 cards are dealt out between the friends.

Let x be the number of cards received by each person.

Then,

[tex]\begin{gathered} 4x=36 \\ x=\frac{36}{4} \\ x=9 \end{gathered}[/tex]

Hence, each person receives 9 cards.

Thus,

[tex]undefined[/tex]

Write the list of integers in increasing order from left to right.12, -4, -9,2, -2.

Answers

we have the list

12, -4, -9,2, -2

rewrite in increasing order from left to right

The answer is

-9,-4,-2,2,12

Solve
-21 < 3x - 12 < 6

Answers

Answer:

-3 < x < 6

Step-by-step explanation:

-21 < 3x - 12 < 6

first lets add 12 to everything

-9 < 3x < 18

now lets divide everything by 3

-3 < x < 6

The sum of nine and a number is forty less than fifteen

Answers

Answer:

x = -34

Step-by-step explanation:

Lets use "x" as the missing number

9 + x = 15 - 40

9 + x = -25

x = -25 - 9

x = -34

What is the surfacearea, in square inches,of the square pyramidbelow?

Answers

hi, for solve this question we need to use the formula below:

[tex]\text{Area of each triangle + area of the quadrangular base = Total area}[/tex]

First, the area of the base:

[tex]\begin{gathered} \text{area base = side }\cdot\text{ side} \\ \text{area base = 4in }\cdot\text{ 4in} \\ \text{area base = 16in}^2 \end{gathered}[/tex]

Now, the area of each triangular side:

we have the base as 4in, and the height as 9in.

So, using the formula:

[tex]\begin{gathered} \text{area = }\frac{\text{ base }\cdot\text{ height}}{2} \\ \text{area = }\frac{\text{ 4 }\cdot9}{2} \\ \text{area = }\frac{\text{3}6}{2}=18in^2\text{ each triangular side} \end{gathered}[/tex]

Now, let's sum all of the values:

4 triangular sides + 1 quadrangular side

(4 * 18in) + (1 * 16in)

72in² + 16in² = 88in²

Answer: ALTERNATIVE NUMBER 2. 88in²

According to the propertyWhich choice is equivalent to the quotient below!

Answers

Answer:

A

Step-by-step explanation:

Because square root of 30 is 5.4 rounded, and square root of 6 is 2.4 rounded, so 5.4 divided 2.4 is 2.25, and square root of 5 (Answer choice A) is 2.25 rounded as well. They are more accurate when not rounded btw u can check yourself:) HAVE A GREAT DAY/NIGHTT!

related rates need help calculus

Answers

Answer:

  0.1468 ohms per second

Step-by-step explanation:

You want the rate of change of R when ...

1/R = 1/r1 +1/r2r1 = 70 Ωr2 = 120 Ωr1' = 0.3 Ω/sr2' = 0.2 Ω/s

Derivative

The desired rate of change is the derivative of R with respect to time. Implicitly differentiating the given relation with respect to time, we have ...

  -R'/R² = -r1'/r1² -r2'/r2²

  R' = R²(r1'/r1² +r2'/r2²)

Using the given relation and values, we have ...

  1/R = 1/70 +1/120 = 190/(70·120)

  R = (840/19)

  R' = (840/19)(0.3/70² +0.2/120²) = 53/361 ≈ 0.1468

The rate of change of R is about 0.1468 ohms per second.

Additional comment

Most graphing calculators can figure this value for you.

Perform the indicated operation.Subtract (4x^2-5) from the sum of (x^2 - 5x + 1) and (3x^2 – 3x+4)The answer is

Answers

We have the sum of

[tex]\mleft(x^2-5x+1\mright)+(3x^2-3x+4)[/tex]

we sum similar terms

[tex]4x^2-8x+5[/tex]

then we subtract (4x^2-5) from the result of the sum above

[tex](4x^2-8x+5)-\mleft(4x^2-5\mright)=4x^2-8x+5-4x^2+10[/tex]

then we sum similar terms, and we find the answer

[tex]-8x+10[/tex]

this one is way to hard

Answers

f(5) = -4(5 - 1)

f(5) = -4(4)

f(5) = - 16

16. What is the average of the following numbers? 7, 4, 6, 11, 10, 17, 15? (a) 14 (b) 9 (c) 10 (d) 12 (e) 20​

Answers

Answer:

C: 10

Step-by-step explanation:

indicate the equation of the given line in standard form show all your work for full creditthe line containing the diagonal ,BD,of a square whose vertices areA(-3,3) B(3,3) C (3,-3) and D (-3,-3)find two equations one for each diagonal

Answers

ANSWER:

x + y = 0

x - y = 0

EXPLANATION:

Given the coordinates:

A(-3,3)

B(3,3)

C(3,-3) and

D (-3,-3)

One diagonal is line AC.

Find the slope of AC:

[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\text{ }\frac{-3-3}{3-(-3)}=\frac{-6}{6}=\text{ -1}[/tex]

Solpe of AC = -1

Using the slope intercept form, y = mx+b, we have:

y = -1x + b

y = -x + b

The equation for AC:

y = -x

The other diagonal is BD.

find the slope of BD:

[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\text{ }\frac{-3-3}{-3-3}=\frac{-6}{-6}=\text{ 1}[/tex]

Slope of BD = 1

The equation of BD:

y = 1x

y = x

Therefore the equation of both lines in standard form will be:

AC ==> x + y = 0

BD ==> x - y = 0

How is 600:450 and 60:45 equivalent

How is 60:45 and 4:3 equivalent

How is 600:450 and 4:3 equivalent

Answers

1. Divisible by 10
2. Divisible by 15
3. Divisible by 150

Everything is divisible by 5 also

slove equations with variables on both sides-4 + 9z = 10z

Answers

[tex]-4+9z=10z\rightarrow-4=10z-9z=z\rightarrow z=-4[/tex]

Instructions: State the domain and range of the given function.

Answers

In this problem, we are going to state the domain (x-values)of the given scatter plot.

Notice that we are given individual points. That means the domain will also have individual values, or the x-vaues of the points.

In your graph, we are given th following points:

(2,2)

(2,10)

(3,7)

(5,5)

(8,5)

So, the domain for the graph will have the values 2, 3, 5, 8, or the first option on your dropdown menu.

Divide x^2+x-4 by (x+3)

Answers

The resulting value of the division of x²+x-4 by (x+3),

Quotient = x - 2

Remainder = 2

Division:

The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given,

Here we have the expression x²+x-4.

Now, we need to divide by the expression (x + 3).

Here we have to use the long division method in order to solve it.

The following steps are followed to solve this:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

This steps is repeated until no further division.

Thus process will be showed on the attached figure.

To know more about Division here.

https://brainly.com/question/21416852

#SPJ1

Using the prototype oblique triangle shown below and the information given, find the measure of the remaining sides and angles in the triangle.
find:
beta:
a:
b:

Answers

Using the law of sines, the remaining angles and sides of the triangle are given as follows:

[tex]\beta = 20^\circ[/tex]a = 8.2.b = 6.

What is the law of sines?

Suppose we have a triangle in which:

Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.

The lengths and the sine of the angles are related according to the equation presented as follows:

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

The remaining angle measure is given as follows:

[tex]\beta = 180 - (132 + 28) = 20^\circ[/tex]

(this is because the sum of the internal angles of a triangle is of 20º).

Then side a is calculated from the law of sines as follows:

sin(28º)/a = sin(132º)/13

a = 13sin(28º)/sin(132º)

a = 8.2.

Side b is also calculated from the law of sines, as follows:

sin(20º)/b = sin(132º)/13

b = 13sin(20º)/sin(132º)

b = 6.

A similar problem, also about the law of sines, is given at https://brainly.com/question/4372174

#SPJ1

Solve for x
23x-5
21x+5

Answers

1) 23x-5=0
23x=5
x=5/23

2)21x+5=0
21x=-5
x=-5/21

Dakota fills a measuring cup 5/8 cup of sugar 2 times to make a cake. Which multiplication equation shows the total amount of sugar Dakota uses?

Answers

We have that Dakota fills a measuring cup 5/8 cup of sugar two times. The multiplication equation that shows the total amount of sugar is:

[tex]2\cdot\frac{5}{8}=\frac{10}{8}=\frac{8}{8}+\frac{2}{8}=1+\frac{2}{8}=1\frac{2}{8}[/tex]

We needed to multiply the fraction 5/8 by 2, and then solve for the given operations.

Therefore, the answer is the last option:

2 x 5/8 = 10/8 = 1 2/8 cups of sugar

A set of data has a normal distribution with a mean of 56 and a standard deviation of 9. Find the percent of data within the following interval. from 29 to 83 The percent of data within the given interval is ____%.

Answers

Solution

We are given

[tex]\begin{gathered} \mu=56 \\ \sigma=9 \end{gathered}[/tex]

First, we will find the probability p(29 < x-bar < 83)

Note: z score formula

[tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

To find the probability

[tex]\begin{gathered} p(29<\bar{x}<83)=p(\bar{x}<83)-p(\bar{x}<29) \\ p(29<\bar{x}<83)=p(z<\frac{83-56}{9})-p(z<\frac{29-56}{9}) \\ p(29<\bar{x}<83)=p(z<3)-p(z<-3) \\ p(29<\bar{x}<83)=0.99865-0.0013499 \\ p(29<\bar{x}<83)=0.9973001 \\ p(29<\bar{x}<83)=0.9973\text{ \lparen to four decimal places\rparen} \end{gathered}[/tex]

Therefore, the percentage within the given interval will be

[tex]0.9973\times100=99.73\%[/tex]

The answer is

[tex]\begin{equation*} 99.73\% \end{equation*}[/tex]

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