Which of the following numbers can be expressed as repeating decimals? 4/7, 2/5, 7/8, 4/9

Step-by-step explanation:

qu = 5y - 4

and qt is half of qu

so

qt =  [tex]\frac{5y - 4}{2}[/tex]

Answer:

QT = 8

Step-by-step explanation:

the sides of a rhombus are congruent , then

PS = RS ( substitute values )

3y - 1 = 2y + 3 ( subtract 2y from both sides )

y - 1 = 3 ( add 1 to both sides )

y = 4

The diagonals of a rhombus bisect each other

QS = 5y - 4 = 5(4) - 4 = 20 - 4 = 16

then

QT = [tex]\frac{1}{2}[/tex] QS = [tex]\frac{1}{2}[/tex] × 16 = 8

The considered decimal number is expressed by the fraction given by: Option C: 4/33

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]

(10 raised to power k = 1 followed by k zeroes)

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]

The series would look like [tex]a+ ar+ ar^2+\cdots[/tex]

For the considered case, the given decimal number is

[tex]0.\overline{12} = 0.121212\cdots[/tex]

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

[tex]0.12121... = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )[/tex]

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
[tex]0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212... = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}[/tex]

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

Learn more about geometric series here:

https://brainly.com/question/16037289

Answer:

4/33

Step-by-step explanation:

Option C

Answer: The final balance is $81,551.47.

The total compound interest is $43,551.47.

I hope this helps<3

Answer:

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

does it come with the picture??

Answer:

♦LCM of 5 and 20 is 20.

#Let's Study

#I Hope It's Help

#Keep On Learning

#Carry On Learning

30

Explanation:

5×6=30

3×10=30

hope this helps...I just looked it up and this is what I found

Answer:

you multiple 5 with 3 and 3 with 5

3×5=15

5×3=15

that will give

3/15= 2/15

Step-by-step explanation:

l = length

w = width

l = w + 10

l×w = 600 m²

now, using the identity of the first equation in the second equation

(w + 10)×w = 600

w² + 10w = 600

w² + 10w - 600 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = 10

c = -600

w = (-10 ± sqrt(10² - 4×1×-600))/(2×1) =

= (-10 ± sqrt(100 + 2400))/2 = (-10 ± sqrt(2500))/2 =

= (-10 ± 50)/2 = -5 ± 25

w1 = -5 + 25 = 20 m

w2 = -5 - 25 = -30

the negative solution does not make any sense for side lengths. so, the only valid solution is w = 20 m.

l = w + 10 = 20 + 10 = 30 m

the length is 30 m.

the width is 20 m.

Answer:

The answer is 49 inches

Step-by-step explanation:

Divide 294 by 6 to get the answer.

Hope that helps!

Answer:

49 inches

We know that for every 6 feet in real life, there will be 1 inch in the picture.

So, that means if we divide 294 by 6, we can find how many inches wide the picture is.

294 ÷ 6 = 49

Since there are 49 sixes in 294, the picture is 49 inches wide.

Answer:

Step-by-step explanation:

Answers in the order as shown

34

20

8

55

29

28

50

61

4

60

Answer:

960m²

Step-by-step explanation:

½(12)(8)

=48

48×20

=960m²

= 20/60  x 100 = 33.3

Answer:

x = -3/2

Step-by-step explanation:

1. Cancel out log from both sides -> 16^n = 1/64

2. Log16 both sides to isolate n -> log16(16^n) = log16(1/64) -> n = log16(1/64)

log16(1/64) = -3/2

Answer:

Here

Step-by-step explanation:

Domain : (-∞,∞)

Range : (-∞,∞)
Both functions generally are the same and yes both are functions.

One is the data set of a function and one is the equation...

Sorry if this isn't what you were looking for...

Answer:

(7+z) - y

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

I have done this before

Answer:

C, (-4, 0)

Step-by-step explanation:

Hope this helps you. Have a good day. :)

Answer: -12x^2 + 4x

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex] is the answer

Step-by-step explanation:

First we need to substitute X and Y with their respective numbers

[tex]3\cdot \:6+\frac{6}{-4}-\left(-4\right)^2[/tex]

Then, following PEMDAS, We just need to simplify

[tex]18+\frac{6}{-4} -16[/tex]

[tex]16.5-16=0.5=\frac{1}{2}[/tex]

Answer: y=-3x+20

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

[tex]r^{2} -14+8p[/tex]

Substitute values given:

[tex](8)^{2} -14+8(\frac{1}{4} )[/tex]

Simplify:

64-14+2

50+2

52

Therefore 52 is our answer

Answer:

56

Step-by-step explanation:

if r = 8 than r to the second power is 8 to the second power (or 8x8) which equals 64

64 - 14 + 8p

If p + 1/4 = 2

64 - 14 + 2

54 + 2

56

The easiest way to find the line parallel to 3x -2y =5 through (1,2), we must set 3x - 2y = 5 into slope-intercept form

   [tex]3x-2y =5\\-2y = -3x+5\\y = \frac{3}{2}x-\frac{5}{2}[/tex]

In slope-intercept form, y = mx + b, m is the slope. For two lines to be parallel, their slopes must be equal.

Thus the new line that is parallel to 3x - 2y = 5 must also have a slope of (3/2)x

    [tex]y= \frac{3}{2} x+b[/tex]

To find b, we must plug in (1,2)

   [tex]2 = \frac{3}{2}*1 + b\\b = \frac{1}{2}[/tex]

Thus the equation that is parallel to 3x-2y = 5 and passes through (1,2) is [tex]y = \frac{3}{2}x+\frac{1}{2}[/tex]

Hope that helps!

Answer:

3/2x+1/2

Step-by-step explanation:

just took on progress learning and was correct:)

Answer:

For 1) you must do that yourself from least to greatest.

2) most snow was 3 and 3/4

3) least snow was 1 and 2/4

4) it snowed 3 and 1/4 3 days long.

5) it could have been 4 and 2/4 with another 1 and 2/4 since that makes three or maybe just 4 with 1 since that also makes three there are a lot of possibilities considering it only has to be subtracted and equal three.

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

The volume of the hexagonal prism is the amount of space in the prism

The volume of the hexagonal prism is 325 cubic units

The given parameters are:

Base area = 25 square units

Height = 13 units

The volume is then calculated as:

Volume = Base area * Height

So, we have:

Volume = 25 * 13

Evaluate the product

Volume = 325

Hence, the volume of the hexagonal prism is 325 cubic units

Read more about volumes at:

https://brainly.com/question/10171109

Answer:

Step-by-step explanation:

I need help

Answer:

C. Slope-Intercept Form

Step-by-step explanation:

The formula for the Slope-Intercept Form is y=mx+b, where m is the slope and (0,b) is the y-intercept. This equation follows y=mx+b, so C is your answer

Answer:

C. Slope-Intercept form

Step-by-step explanation:

^

Answer:

x=15° this is the answer