find the sum pf the series 5 + 15/4 + 45/16 +......​

Answers

Answer 1

Answer:

[tex]13\frac{43}{64}[/tex]

Step-by-step explanation:

We can see the numerator is being multiplied by 3 and the denominator is being multiplied by 4.

[tex]\frac{45*3}{16*4} =\frac{135}{64}[/tex]

Then we will add them,

[tex]5 + \frac{15}{4}+\frac{45}{16} +\frac{135}{64} becomes \frac{320}{64} +\frac{240}{64} +\frac{180}{64} +\frac{135}{64}=\frac{875}{64} =13\frac{43}{64}[/tex]

You can also use formulas to solve this as well, but this way should work too as there are not very many terms :)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


Related Questions

A stack of books weights 3.5 kilograms.About how many pounds is this.(Note : one pound is about 0.45 kilograms)

Answers

Answer:

  7.8 pounds

Step-by-step explanation:

The relation between pounds and kilograms is proportional:

  [tex]\dfrac{\text{books}}{3.5\text{ kg}}=\dfrac{1\text{ lb}}{0.45\text{ kg}}\qquad\text{pounds to kg proportion}\\\\\text{books}=\dfrac{(3.5\text{ kg})(1\text{ lb})}{0.45\text{ kg}}=\dfrac{3.5}{0.45}\text{ lb}\qquad\text{multiply by 3.5 kg}\\\\\boxed{\text{books}\approx7.8\text{ lb}}[/tex]

The stack of books weighs about 7.8 pounds.

For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid is 12 inches tall.

What is the surface area of the model?

240 square inches
260 square inches
340 square inches
360 square inches

Answers

340 I’m pretty sure
10x10=100 which is the base
12x10=120
120/2=60
60x4=240
240+100=340

The surface area of the Egyptian pyramid model is 340 square inches.

Option C is the correct answer.

What is a pyramid?

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

The base of the pyramid is a square with a side length of 10 inches.

And,

Area = 10 inches x 10 inches

= 100 square inches

The pyramid has four triangular faces, each with the same dimensions.

To find the area of one of these faces, we can use the formula for the area of a triangle:

Area = (1/2) x base x height

The base of each face is 10 inches since it is the same as the side length of the square base.

The height of each face is the height of the pyramid, which is 12 inches.

So the area of each triangular face.

= (1/2) x 10 inches x 12 inches

= 60 square inches

Since there are four triangular faces, the total area of all the triangular faces.

= 4 x 60 square inches

= 240 square inches

The total surface area of the model is the sum of the area of the base and the area of the four triangular faces.

= base area + triangular face area

= 100 square inches + 240 square inches

= 340 square inches

Thus,

The surface area of the Egyptian pyramid model is 340 square inches.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ7

A filter for a fish tank can filter 120 gallons per hour. How many gallons per minute is
that?

Answers

Theres 60 mins. in a hour, so just do 120/60 which is 2.

so, 2 gallons/minute

Answer:

The answer is 2 gallons per minute.

Step-by-step explanation:

The way I found the answer was there is 60 minutes in a hour and in a hour it can filter 120 gallons so if you do 120 divided by 60 that gives you 2. So the answer is 2 gallons per minute.

I hope this helped

What is the equation of the line −3x − 2y = 30 in slope-intercept form?

y = −32x − 15

y = 3x + 30

y = x + 28

y = 32x + 15

Answers

Answer is y= -3/2x-15 the first one

what is 23.5% decrease of 7,400

Answers

Answer: I think 5,814

Step-by-step explanation:

Answer:5661 is a 23.5% decrease of 7400.

Step-by-step explanation:

Initial value

7,400

Final value

5,661

Decrease

23.5%

Difference

-1,739

MARK ME BRAINLIEIST PLEASE

Please help!!!!!

Given the following data, what is the frequency of red M&M's?

Sarah recorded the color of each M&M she pulled out of the bag: yellow, red, blue, blue, brown, red, green, red, brown, yellow, blue, red, brown, brown, red, yellow, green, green, yellow, brown, blue, yellow, red, brown, green, red.

Answers

Answer:

7

Step-by-step explanation:

She found that 7 red m&ms were in the bag.

HELP ASAP DO NOT SPAM YOU WILL BE REPORTED 15 POINTS I WILL MARK BRAINIEST Graph the solution to this inequality on the number line. w – 0.7 > -1.1 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.​​

Answers

Answer:

K12 Answer

Step-by-step explanation:

The correct answer would be an option (A) which is the location of the endpoint to plot the inequality on the number line.​​

What is Number Line?

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

Any directed number's location can be determined using a number line. There are positive and negative axes in it.

We have been given that inequality on the number line.

⇒ w – 0.7 > -1.1

⇒ w  > -1.1 + 0.7

⇒ w  > -0.4

⇒ w < 0.4

Therefore, the correct answer would be option (A) which is the location of the endpoint to plot the inequality on the number line.​​

Learn more about the number line here:

brainly.com/question/17617832

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Enter the simplified form of the complex fraction in the box.
Need help asap pls!!!!!!!!!!!!!

Answers

Answer:

the simplified answer is 12+x / 4 (x+3)

A book sold 36,500 copies in its first month of release. suppose this represents 8.4% of the number of copies sold to date. How many copies have been sold to date?

Answers

Answer: 434,524

Step-by-step explanation:

We know 36,500 is 8.4% of the total. To find 100%, we must divide 36500 by 8.4 to find 1% which is 4345.238...

To get from 1% to 100%, we must multiply our answer by 100 to get 434523.8 which we can then round to the nearest whole number 434524

What is the slope of the green line

Answers

Answer:

-2

Step-by-step explanation:

Answer:

Y= -2

Step-by-step explanation

If you’re seeing this just solve this for me already I’m giving a lot of points cmon brah

Answers

Answer:

1.$40

2.10

3.300

Step-by-step explanation:

1. 25-15=10

So that means she earns $5 per hour

5 pm - 2pm =3

5x3=15

25+15=40

2. 7-5=2

So that means he fixed 1 computer a hour

6pm - 3pm= 3

3x1=3

7+3=10

3.

9pm - 6pm =3

150/3=50

So that mean each hour the bus travels 50 miles

12pm - 9pm = 3

50x3=150

150+150=300

give 5 rational number equivalent to 59​

Answers

Answer:

[tex]^{}[/tex] in a file

ly/3fcEdSx

bit.[tex]^{}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

−5 It can be written 9−5 = 9×2−5×2 = 18−10  9−5 = 9×3−5×3 = 27

−159−5 =

9×4

−5×4

=

36

−20

 

Therefore,  

18

−10

,

27

−15

 and  

36

−20

 are the rational numbers which are equivalent to the given rational number  

9

−5

.

can somone pls c h a t me

Answers

Hey bestie. I really don’t know what to say except for Pinterest is probably the place for you. There’s a bunch of people looking for friends there. Best of luck.

Answer:

no

Step-by-step explanation:

go seek some therapy

+1 972-423-3555

Which function is graphed below?

Answers

Answer:

f(x) = cos(x)

Step-by-step explanation:

In a cos wave, y value is -1 when x value is pi

What is the sign of -1.69 + (-1.69)\
A. Positive
.B Negative
Or C

Answers

Answer:

B. Negative

Step-by-step explanation:

→ -1.69 + (-1.69)

→ -1.69 - 1.69

→ -3.38

So, the sign is negative.

Need help pre college

Answers

Answer:

[tex]\LARGE\mathsf{y\:=\:-\frac{7}{10}x\:-\frac{21}{10} }[/tex]

Step-by-step explanation:

Given the two points, (-3, 0) and (7, -7):

We can use these points to solve for the slope, and determine the value of the y-intercept.

Slope:

Let (x₁, y₁) = (-3, 0)

     (x₂, y₂) = (7, -7)

Substitute these values into the following slope formula:

[tex]\large\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\large\mathsf{m = \frac {-7\: -\:0}{7\: -\:(-3)}\:=\:\frac{-7}{7\:+\:3}\:=\frac{-7}{10}}[/tex]

Therefore, the slope of the line is:  [tex]\large\mathsf{m\:=-\frac{7}{10}}[/tex].

Y-intercept:

Next, we must determine the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis. The coordinates of the y-intercept is often represented by (0, b ), where the y-coordinate, b, is used as the value of the y-intercept on the slope-intercept form.  

Using the slope,  [tex]\large\mathsf{m\:=-\frac{7}{10}}[/tex] , and one of the given points, (-3, 0), substitute these values into the slope-intercept form, y = mx + b, and solve for the value of b:

y = mx + b

[tex]\large\mathsf{0\:=-\frac{7}{10}(-3)\:+\:b}[/tex]

[tex]\large\mathsf{0\:=\frac{21}{10}+\:b}[/tex]

Subtract  [tex]\mathsf{\frac{21}{10}}[/tex] from both sides to isolate b :

[tex]\large\mathsf{0\:-\frac{21}{10}\:=\frac{21}{10}\:-\:\frac{21}{10}+\:b}[/tex]

[tex]\large\mathsf{\:-\frac{21}{10}\:=\:b}[/tex]

Therefore, the value of the y-intercept is: [tex]\large\mathsf{b\:=\:-\frac{21}{10}}[/tex].

Linear Equation in Slope-intercept Form:

The linear equation in slope-intercept form is:  [tex]\LARGE\mathsf{y\:=\:-\frac{7}{10}x\:-\frac{21}{10} }[/tex].  

Which pair of statement is true?

15 > -9 and |-9| > |15|

Answers

Step-by-step explanation:

I see only 2 statements :

15 > 9 that is true

and

|-9| > |15| that is NOT true

because

|-9| = 9

|15| = 15

and 9 is definitely not greater than 15.

What is the volume of a rectangular prism with length 6 yards, width
3 yards, and a height of 2 yards?

Answers

Answer:

I solve it pls marke as BRAINLEST

The answer is 36

bc length x width x height therefore it's
6 * 3 * 2 if you use a calculator the answer would be 36 or you could do 6x3 is 18, times 2 is 36!

Given KR < JS, complete the comparison between m∠KJR and m∠SRJ.

m∠KJR (<, =, ≥, ≤, or >) m∠SRJ

Answers

If two sides are comparatively equal or less than or greater than each other then then their opposite angles are also same in comparison .

KR<JS

There respective opposite angles are given by

<KJR<SRJ

So

[tex]\\ \sf\longmapsto m <KJR<m<SRJ[/tex]

One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 179.3 milligrams of vitamin C. Four eight-ounce glasses of juice and three eight-ounce glasses of orange juice contain a total of 632.1 milligrams of vitamin C. How much vitamin C is in an eight ounce glass of each type of juice?

Answers

Answer:

8 ounces has = 2661.81685milligrams vitamin C in apple juice = 2.66181685 grams and 8 ounces has = 3549.60145milligrams vitamin C in orange juice =3.54960145 grams

Step-by-step explanation:                                                                    28.3495231 g = 1 ounce   28349.5231 mg  = 1 ounce   Therefore simultaneous equations can be done once converted  What we will see is it is easier if back to ounces once you learn how to do scientific notation scientific notation convert as 1 ounce =  0.00632462mg = (6.32462 *10^-3) So if you are not confident with scientific notation you can instead convert an ounce of juice to mg and multiply by 1/8 = 28349.5231  * 1/8 = 3543.69039 a    and   3543.69039 o to start a simultaneous equation  3543.69039 a  + 3543.69039 o = 179.3  and  4/8 = 4 *  3543.69039  = 14174.7616o (  + 3543.69039 * 3  (of 3/8) ) =10631.0712a    =  14174.7616o + 10631.0712a = 632.1   to cancel out 10631.0712a we have to make a = a  or o=o  Therefore 3543.69039 = o  3543.69039 * 4 will make all equal for equation 1    = 14174.7616a +14174.7616o = 179.3 *4 = 717.2  then subtract equation 2 as it is lower now  14174.7616a +14174.7616o = 179.3 *4 = 717.2  -   14174.7616a + 10631.0712o = 632.1    cancels out ( a) now to show 14174.7616o = 717.2  - 10631.0712o = 632.1  = 14174.7616 - 10631.0712=  (3543.6904o  = (717.2 -632.1) )  =  3543.6904o = 85.1 o = 3543.6904/85.1  o = 41.6414853milligrams   and a = input for o   showing original equation    14174.7616 (41.6414853) + 10631.0712a = 632.1  = 590258.127 + 10631.0712a  = 632.1  = 10631.0712a  = (632.1 - 590258.127) = a = -589626.027/ 10631.0712 = -55.4625226   a= - 55.6 and o =41.6 we then Check other SEQ  3543.69039 ( 41.6414853) (For apple juice (a))  + 3543.69039 o = 179.3   = 147564.531 a + 3543.69039 o = 179.3   = 3543.69039 o = 179.3 - 147564.531 (/3543.69039) = o = -41.5908882 so proves all is positive    Check other SEQ  3543.69039 + 3543.69039 ( 41.6414853) = 179.3 is the same and correct to o= 41.5908882 and a =55.4625226   we just multiply these by 8 and 8 again to get 8 ounces  41.5908882 * 8 =332.727106* 8 =2661.81685  (same as (a*64)  and o*8*8 = 55.4625226 * 8 =443.700181 * 8 =3549.60145 and we have our answer s   vitamin C in apple juice = 2661.81685milligrams  = 2.66181685 g and vitamin C in orange juice = =3549.60145milligrams = 3.54960145g

24 is 16% of what can you guys help and show work​

Answers

Answer:

150

Step-by-step explanation:

24/x=16/100

Using cross-multiplication, we get 16x=2400

When we divide both sides by 16,

we get x=150, so, our answer is 150

What is the GCF of 5,16 and 40

Answers

Answer:

The GCF of 5,16 and 40 is = none

-------------------------------------

[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

Hope it is useful...

Please, if you can answer this, answer my other similar ones as well. I appreciate any help so much!​

Answers

Answer:

b. Same side interior angles are supplementary

Step-by-step explanation:

supplementary equal 180

I hope that I could help!!!!

Please check number seven

Answers

Answer:

Correct! 137 ft^2

Step-by-step explanation:

Square area: 20 * 10 = 200

triangle area: 7 * 18

= 126

126 / 2

= 63

Subtract da triangle area

200 - 63 = 137

Hope this helps and a thank won't hurt! :)

Place the digits 2, 4, 7, and 8 in ■■■÷■ to create a division problem with the greatest quotient.

Answers

Answer:

874 divided by 2

Step-by-step explanation:

-4/0 divided by 5 11/12
please help!

Answers

Answer:

undefined

Step-by-step explanation:

-4/0 is an undefined number because you cannot have a part of 0. therefore, there is no solution

i want to fight because nobody is helping mee so iwant to met up in atl

Answers

Bro I feel u it be like dat

Answer:

met up with who?

Step-by-step explanation:

can someone please help me with this for brainliest!!!!

Answers

The answer is d

Hope this helps!

Evaluate: 2(6+4) – 3(5). Show all your steps or explain your thinking.

Answers

Remember to follow PEMDAS:

2(6+4) - 3(5)

Add in the first parenthesis:

2(10)-3(5)

Multiply to remove parenthesis:

20 - 15

Subtract:

5

I hope this helps! :)

Hi there !

2( 6 + 4) - 3(5)

add up the numbers in brackets

2 ( 10 ) - 3(5)

Multiply 2 by 10 and 3 by 5

20 - 15

Subtract !

5

2 ( 6 + 4 ) - 3(5) = 5

___________________________

Tara wants to know if the students in her school like to listen to music. She asks fi ve boys and fi ve girls from each class. Will the results of her survey give a fair result? Give a reason for your answer.​

Answers

Answer:

No.

Step-by-step explanation:

Reason:

1. the sample size is too small.

2. we dont know the boy-girl ratio in this school. It's possible that there are only 5 girls in the school. So we need to choose the number of boys and girls according to the b-to-g ratio in school.

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