While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?

Answers

Answer 1

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]


Related Questions

1. Jason bought a shirt for 30.00 he paid 15% in sales tax. What is the total
cost of the shirt after the sales tax?

Answers

Answer:

34.50

Step-by-step explanation:

multiply 30 times 0.15 to get 4.50 then just add that to 30 for 34.50

ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is

A. $2,560
B. $2,904
C. $2,850
D. $2,890​

Answers

B. $2,904 i hope this helps :)

Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!
Write an equation to determine the normal price of each cookie (c)
Find the normal price of each cookie.

Answers

Answer:

$1.35

Step-by-step explanation:

divide $2.80 by 7 ($0.40)then add $0.75 Which equals $1.35

Pls help I need this done soon and I suck at math

Answers

Answer: 4.5

Hope this helps :)

y varies directly with x. If x= 2 and y = 10 what is y if x = 4
Type your answer...

Answers

Answer:

y=20

Step-by-step explanation:

2x:10y  So for every x you have 5y

4x:20y

Answer:

y=20

Step-by-step explanation:

Hope this helped have an amazing day!

is anyone single and want to date me and my Question is what is 1234567 * 1234567

Answers

Lol, nice to know man

Step-by-step explanation:

-_-

how to factor this completely?
25v3 - 40v2 + 35v – 56​

Answers

Answer:

Factor 25v3−40v2+35v−56

25v3−40v2+35v−56

=(5v−8)(5v2+7)

Answer:

(5v−8)(5v2+7)

Can you guys help me pls

Answers

Answer:

The answer is 4/6

Step-by-step explanation:

2:3 and 4:6 share the same exact relationship but is expressed using different numbers, for example, 2:3 * 2 = 4:6 and 4:6 / 2 = 2:3

Answer:

4/6

Step-by-step explanation:

2:3 = 2/3

2/3 × 2 or 2/3 + 2/3

is equal to

or equivalent 4/6

hope this helps :)

On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?

Answers

Answer:

plz make it brainlisted

Step-by-step explanation:

Since the total is 300 and the ratio is 4:1,

Let us suppose the number of adults be 4x and children be x;

According to the question,

4x+x=300

or,5x=300

or,x=(300/5)

or,x=60

So, 60 students attended the show.

Answer:

75

Step-by-step explanation:

4:1 children meaning 1/4 of the population of 300 is 75

In a shopping district with a variety of stores, 9 of the stores sell jewelry. The jewelry stores make up only 3% of the shopping district. How many stores are in the shopping district?

Answers

Answer:

When I did this in middle school, the teacher made it unnecessarily difficult     (-_-), so here`s my own method for you.

Finding 1%:

If 9 is 3%, then 3 is 1%. This method only works when the sides are divisible.

You can use the 1% to find the total, which is 100%.

3 stores (or 1%) x 100 = 300.

There are 300 stores in the shopping district.

Hope that helps

Could u help me !! Plz I will gave Brainliest

Answers

Answer:

1.) 120.722222206 or  120.72

2.) 650.250000382 or 650.25

Step-by-step explanation:

A bricklayer can build a wall of a certain size in 5 hours. Another bricklayer can do the same job in 4 hours. If the bricklayers work together, how long would it take to do the job?
a. 9h
b. 2(2/9)h
c. 20h
d. 4(1/2)h

Answers

Answer:

b

Step-by-step explanation:

It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.

What is a linear equation?

A linear equation is an equation where the variable of the equation has the highest power of degree one.

Given, the 1st bricklayer build a complete wall of certain size in 5 hours.

Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.

Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.

Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.

If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.

Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.

Learn more about a linear equation here: https://brainly.com/question/13738061

#SPJ2

PLEASE HELP 20 POINTS!!!!!!!
What number is the next term in the number pattern? 2/5, 3/10, 6/15, 11/20, …
18/25
14/20
18/20
14/25

Answers

Answer:

18/25

Step-by-step explanation:

i dont have an explanation

Please answer, fifteen pts!

8x -4 < -36.

Please explain/show work!

Answers

8x - 4 < -36 <=>

8x < -36 + 4 <=>

8x < -32 <=>

x < -32/8 <=>

x < -4

Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

Answers

Answer:

A. 10/3

Step-by-step explanation

improper fraction examples;

[tex]\frac{12}{3}[/tex]   [tex]\frac{10}{9}[/tex]   [tex]\frac{11}{10}[/tex]

An improper fraction is a fraction that has a numerator bigger than the denominator, ( [tex]\frac{N}{D}[/tex] ), therefore the answer would be A.

Hope this helps

Final Answer: A. [tex]\frac{10}{3}[/tex]

Steps/Reasons/Explanation:

Question: Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

An improper fraction is a fraction that's numerator is greater or equal to its denominator. The correct answer would be A. [tex]\frac{10}{3}[/tex] because its numerator is greater than its denominator.

~I hope I helped you :)~

HURRY

A bucket holds 10 white golf balls, 3 pink golf balls, and 5 yellow golf balls. Jason selects 1 golf ball from the bucket at random.

What is the probability that the golf ball he selects is white or pink?

5/54

5/13

13/18

13/5

Answers

Answer:

I would have to say 5/13 and if I'm wrong I'm sorry just trying to help you out

Add them together first. You get in total 18. So that’s your base number. Then add the white balls that is 10 and the pink balls that is 3. The reason why I don’t add the 5 yellow balls is because they are not mentioned in the third sentence. When you added those you will end up with 13/18.
I hope this helps :)

Amplitude of 16 units, a period of 5 units, a vertical displacement of 3 units up and a phase shift of 2.5 units left.

Answers

The question is incomplete. The complete question is :

A sine function that has an amplitude of 16 units, a period of 5 units,a vertical displacement of 3 units up and a phase shift of 2.5 units left. Graph this function and show each step.

Solution :

The standard form of the sine function is

y = a sin (bx - c) + d

Here given :

Amplitude, a = 16

Period :   [tex]$\frac{2 \pi}{|b|} = 5$[/tex]

            ⇒ [tex]$b = \frac{2\pi}{5}$[/tex]

Phase shift :  [tex]$\frac{c}{b} = 2.5$[/tex]

                   [tex]$\Rightarrow \frac{c}{2 \pi/5}=\frac{5}{2}$[/tex]

                  ∴ [tex]$c = - \pi$[/tex]

The vertical displacement : d = 3 units up

Now substituting a, b, c and d values in the standard form gives :

[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x -(- \pi)\right) + 3$[/tex]

[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x + \pi\right) + 3$[/tex]

The graph is attached below.

What is the slope of the line that passes through the points (-4, -2)and (−4,−22)? Write your answer in simplest form.

Answers

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 22 - - 2}{ - 4 - - 4} = \frac{ - 22 + 2}{ - 4 + 4} = - \frac{20}{0} \\ [/tex]

Any number divided by zero is undefined so the slope of the line is undefined.

Hope this helps you

Answer:

Undefined ([tex]\infty [/tex])

Step-by-step Explanation:

We need to find the slope of the line joining the points (-4, -2) and (-4, -22).

We know that, Slope is the difference of abcsissa (x - coordinate) / difference of ordinates (y-coordinate)

[tex]m = \dfrac{y2 - y1}{x2 - x1} [/tex]

Here:

x1 = -4x2 = -4y1 = -2y2 = -22

Plugging these values:

[tex]m = \dfrac{ - 22 - ( - 2)}{ - 4 - ( - 4)} [/tex]

This can be written as:

[tex]m = \dfrac{ - 22 + 2}{ - 4 + 4} [/tex]

[tex]m = \dfrac{ - 20}{0} = \infty [/tex]

Here, The slope of the line is infinite or undefined. An undefined slope (or an infinitely large slope) is the slope of a vertical line!

somebody help me answer these ik I'm not the smartest​

Answers

Answer:

1. 3/5

2. 70/9

3. 12 3/5

Step-by-step explanation:

hope it helps

Answer:

reduce 18/30

divide both numerator and denominator by 6

3/5

change to improper 7 7/9

multiply 7*9=63

63+7=70

70/9

Change to mixed number 63/5

63/5=12 remainder 3

12 3/5




2.75 + negative 1.5

Answers

Answer:

1.25

Step-by-step explanation:

type in your calculator:

-1.5+2.75 OR 2.75-1.5

you should get the same answer

Answer:

1.25(my last answer was deleted somehow)

Step-by-step explanation:

2.75-1.5=1.25

Plsss someone answer it fasttt

Answers

5x+3 is the answer my guy, because you do 1/2 and multiply it to both numbers which puts both of them into halves

PLEASE PLEASE HELP ME
The distance on a map from Lynchburg to Houston is 5 in. The scale on the map is 1/2 in = 100 mi. What is the actual distance?

A) 100 mi

B) 10,000 mi

C) 1000 mi

Answers

Answer:

1,000 miles

Step-by-step explanation:

set up the equation as

100x = d

where x equals the number of half inches between two points on the map

and d equals the distance between those points in real life

5 inches = 10 half inches so, plugged in the equation looks like

100(10) = d

simplify it to

1000 = d

and bam, the real distance is 1,000 miles

C 1/2 an inch equals 100 miles.each inch equals 200 miles. So now you take 200×5 and you get 1000 miles

4a I do not understand the process

Answers

Answer:

9/40

Step-by-step explanation:

He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.

To add or subtract fractions, the denominators must be equal.

Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.

So first we convert 5/8 to 25/40.

Then we convert 2/5 to 16/40.

Now we can subtract them:

25/40 - 16/40 = 9/40.

9/40 cannot be simplified so this is the final answer.

There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.

The answer is 9/40.

All you need to do is subtract 5/8 - 2/5 and to do that, you would need a common denominator. So just,

5 2
— —
8 5

Multiply the two bottoms to get 40 and do the same thing with the top that you did with the bottom so....

5 x 5 = 25
— —
8 x 5 = 40

2 x 8 = 16
— —
5 x 8 = 40

Subtract 25 - 16 = 9 and keep the denominator the same so 9/40 is your answer.

I will give brainliest

Answers

Answer: 16 quarts of blue paint

Step-by-step explanation:

i divided 3 by 24 to see how many quarts there was then took the answer which is 8 and multiplied it by 2.... i dont know if its right but i tried

The area of the parallelogram below is ____ square meters.



Numerical Answers Expected

Answers

Answer:

Step-by-step explanation:

The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:

6 × 8 = 48

The area of the parallelogram is 48

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Write a linear function f with the given values.

f(x) =

Answers

Answer:

f(x) = -2x + 1

Step-by-step explanation:

Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)

A) 3.3 in
B) 6.7 in
C) 7.9 in
D) 9.0 in

Answers

Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)

When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:

[tex]\displaystyle a^{2} +b^{2} =c^{2}[/tex]

In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.

[tex]a=3\\b=6[/tex]

[tex]3^{2} +6^{2}=c^{2}[/tex]

Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.

[tex]3^{2} =3 \times 3=9\\6^{2}=6 \times 6=36[/tex]

Substitute the numbers into the equation.

[tex]9+36=c^{2}[/tex]

Add:

[tex]45=c^{2}[/tex]

You're looking for the value of c, not c squared. To remove the square, you need to square root it.

[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }[/tex]

Using a calculator, find the square root of 45.

[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }\\c \approx 6.7[/tex]

The answer to your question is B) 6.7 inches.

Answer: A

Step-by-step explanation:

Use Pythagorean Theorem in order to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

(c is the hypotenuse)

So that would be:

[tex]3^{2} + 6^{2} = c^{2}[/tex]

If you solve this, you would find that:

[tex]c^{2} = 45[/tex]

[tex]c = 3\sqrt{5}[/tex]

Answer = B

I WILL MAKE BRAINIEST AND GIVE EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mrs. Garcia's math test is worth 50 points. If you answer all questions and extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?

Answers

1 and 1/10
1.1
110%

mark me brainliest if the answer is correct, thank you in advance :)

Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4

Answers

Answer:

B 4:6

Step-by-step explanation:

Which of these ratios is equivalent to 2:3?

2 : 3 = 2/3

Check all that applies

A 2:6

= 2/6

= 1/3

= 1 : 3

B 4:6

= 4/6

= 2/3

= 2 : 3

C 3:2

= 3/2

= 3 : 2

D 3:4

= 3/4

= 3 : 4

The correct answer is B 4 : 6

Can someone please explain to me the answer to this problem????
5(a +3)= 40

Answers

Answer:

5

Step-by-step explanation:

5(a+3)=40

5a+15=40

5a+15-15=40-15

5a=25

a=5

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