A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of the remaining cups. A total of 90 cups were used the second day.what was the original amount of cups in the box before any were used?

plz help asap will give u brainliest :)

Answers

Answer 1

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

Answer 2

Answer:

630

Explanation:

15% * number of remaining cups = 90

15% * (x-30) = 90

0.15(x-30) = 90

0.15x - 4.5 = 90

0.15x = 94.5

x = 630


Related Questions

what expression represents five time the quotient of some number and ten?
A: 5 ( 10 - z )
B: 5 ( z / 10 )
C: z ( 10 / 5 )
D: 5 ( z - 10 )

Answers

Answer: B

Step-by-step explanation:

First off, choices A and D can be elimination because you are not subtracting. In choice C, we have 10 divided by 5 as opposed to z divided by 5. The answer is B.

Is the binomial a factor of the polynomial nominal function?

Select Yes or No for each binomial.

I accidentally said “no” for the first two on the chart. I need everything on the chart answered. Thanks!

Answers

The factors for given equation f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex].

(x-1) - No(x-3) - No(x+3) - Yes(x-5) - Yes(x+5) - Yes

Step-by-step explanation:

The given equation is f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex] .

Add 0 at the end of the equation.

[tex]x^{3} +3x^{2} -25x-75[/tex] = 0.

Let us group the given equation,

[tex](x^{3} +3x^{2}) -(25x-75)[/tex] =0.

⇒ Group 1: [tex]x^{3} +3x^{2}[/tex] .

Group 2: [tex]- 25x +75[/tex] .

Pull out factor from each group,

⇒ Group 1: [tex](x+3)(x^{2})[/tex].

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

[tex](x+3)(x^{2} -25)[/tex] =0.

One of the factor is (x+3).

Other factors are solved by the formula, [tex]a^{2}-b^{2} = (a+b) (a-b)[/tex] .

[tex](x+3)(x^{2} -25)[/tex] = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

HELP ASAP QUICK QUESTION : I just need to know, when you work out the length of the missing side do you put cm for the units or not???

Answers

Answer: Yes, you put cm for the units of the missing side

Step-by-step explanation:

Here is a math question I need help with, offering 20 points for full answer.

Answers

Answer: 8 sqrt7

Step-by-step explanation:

Order these decimals from least to greatest: 0.35 3.5 0.53 0.3 0.05

Answers

Answer:

0.53, 0.35, 0.05, 0.03, and 3.5

Step-by-step explanation:

Order Least to greatest

quick! can someone please explain 9 1/6 - 8 5/6 ??

Answers

The 9 at the side on the fraction represents one full 6/6

So by taking one out, it will give the top number an extra 6.

-Help?-

Simplify.
[tex]8\sqrt{63x^{14} 14y^{9}[/tex]
Assume x and y are nonnegative.

A: [tex]24x^{7}y^{4}\sqrt{7y}[/tex]
B: [tex]3x^{7}y^{4}\sqrt{7y}[/tex]
C: [tex]24x^{5}y^{4}\sqrt{7x^{2}y}[/tex]
D: [tex]24x^{7}y^{3}\sqrt{7}[/tex]

Answers

Answer:

C.

Step-by-step explanation:

https://tex.z-dn.net/?f=24x%5E%7B5%7Dy%5E%7B4%7D%5Csqrt%7B7x%5E%7B2%7Dy%7D

this is correct

the simplified expression is [tex]\(24x^7 y^4 \sqrt{7y}\)[/tex], which corresponds to option A.

To simplify the expression [tex]\(8\sqrt{63x^{14}14y^9}\),[/tex] we can break down the radicand into its prime factors and then simplify:

[tex]\(8\sqrt{63x^{14}14y^9} = 8\sqrt{7 \cdot 9 \cdot 7 \cdot 2 \cdot (x^7)^2 \cdot (y^4)^2 \cdot (y^1)}\)[/tex]

Now, we can take the square root of perfect squares and pull them out of the square root:

[tex]\(8 \cdot 3 \cdot 7 \cdot x^7 \cdot y^4 \cdot \sqrt{y}\)[/tex]

Simplifying further:

[tex]\(24x^7 y^4 \sqrt{7y}\)[/tex]

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A half-gallon carton of organic
milk costs $4.45 now and the price is
increasing by 10 percent each year.
What will be the price of the milk in 5
years?​

Answers

Answer:

$7.17

Step-by-step explanation:

(1 year) 4.45 x .01= .45    $4.45 + .45=$4.90

(2 year)4.90 x .01= .49 $4.90+.49=$5.39

(3 year)$5.39 x .01=.54 $5.39+.54=$5.93

(4 year) $5.93 x .01=.59 $5.93+.59=$6.52

(5 year) $6.52 x .01=.65 $6.52+.65=$7.17

Answer:

$7.17

Explination: $6.52 x .01=.65 $6.52+.65=$7.17

What is the value of the expression (-8/9)*(-2/3) multiplied by (-4 1/2)

Answers

Answer:

-8/3

Step-by-step explanation:

-4 1/2=-9/2

(-8/9)(-2/3)=16/27

(16/27)(-9/2)=-144/54

-8/3

only 90 minutes after a reindeer calf is born it is able to run. How many seconds is that

Answers

Answer:

540 seconds

Step-by-step explanation:

1 minute is equal to 60 second

so 90 min is equal to 90 multiplied by 60 which is equal to 540 seconds.

Answer:5400 seconds

Step-by-step explanation:

ERROR ANALYSIS need answer in a least a hour or so please help,what is the error​

Answers

Answer:

Step-by-step explanation:

1) Sin² Ф = 1 - cos² Ф

So, 1 - Sin² Ф = 1 - (1 - cos² Ф)

                     = 1 - 1 + cos² Ф = cos² Ф

2) tan x = Sin x /Cos x

tan x * csc x = Sin x /Cos x  * 1/Sin x = Sinx  * 1 / cos x  * sin x

                        =1/cos x = Sec x

28. Emily is buying some graduation pictures. She pays $25 for the sitting and $15 for each
sheet of pictures she buys. (make a table if it helps)
a. How much does she pay for 5 sheets of pictures?
b. How much does she pay for "x" sheets?
c. How many sheets can she buy for $145?!

Answers

a. She pays $100 for 5 sheets

b. 25+15x dollars for x sheets

c. 8 sheets

Step-by-step explanation:

Given

Sitting cost = $25

Per sheet picture cost = $15

Let p be the number of sheets of pictures

Then the cost can be written as a function of p

[tex]c(p) = 25+15p[/tex]

Now,

a. How much does she pay for 5 sheets of pictures?!

Putting p = 5 in the function

[tex]c(5) = 25 + 15(5)\\= 25+75\\=100[/tex]

She will pay $100 for 5 sheets of pictures

b. How much does she pay for "x" sheets?

Putting x in place of p

[tex]c(x) = 25+15x[/tex]

c. How many sheets can she buy for $145?

We know the cost now, we have to find p so,

[tex]145 = 25+15p\\145-25 = 25+15p-25\\120 = 15p[/tex]

Dividing both sides by 15

[tex]\frac{15p}{15} = \frac{120}{15}\\p = 8[/tex]

Hence,

She can buy 8 sheets for $145

Keywords: Linear equation, Algebraic functions

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An elevator can hold at most 2500 pounds if 10 adults with an average mass of 80 kg each get on the elevator can elevator carry them

Answers

The elevator can carry the adults with average mass of 80 kg.

Step-by-step explanation:

Given

Capacity to weight that can be hold by elevator = 2500 pounds

Average mass of one adult = 80 kg

Average mass of 10 adults = 80*10 = 800kg

We need to have the weights in same unit in order to determine whether the elevator can carry the adults or not.

We will convert the weight of 10 adults into pounds.

1 kg = 2.205 pounds

800 kg = 800*2.205 = 1764 pounds

Therefore,

1764 pounds < 2500 pounds

The elevator can carry the adults with average mass of 80 kg.

Keywords: conversion, multiplication

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Final answer:

By converting the average mass from kilograms to pounds and multiplying by the number of adults, the total weight is calculated to be 1763.696 pounds, which is under the elevator's capacity of 2500 pounds, so the elevator can carry them safely.

Explanation:

The student is asking whether an elevator would be able to carry 10 adults with an average mass of 80 kg each without exceeding its maximum weight capacity of 2500 pounds. To answer this, we will first convert 80 kg to pounds and then multiply by the number of adults to find the total weight. After that, we can compare the total weight with the maximum capacity of the elevator.

First, let's convert the average mass of one adult from kilograms to pounds. Since 1 kg is equal to approximately 2.20462 pounds, we can calculate like this:

80 kg * 2.20462 lbs/kg = 176.3696 lbs per adult

Now, multiplying this by 10 adults:

176.3696 lbs/adult * 10 adults = 1763.696 lbs for 10 adults

When comparing this total weight of 1763.696 pounds to the elevator's maximum capacity of 2500 pounds, we see that the weight of 10 adults is less than the elevator's capacity.

Therefore, the elevator can safely carry 10 adults with an average mass of 80 kg each.

Consider the transformation of a ΔABC to produce a ΔDEF. Which sequence of transformations results in triangles similar but not congruent?


A) horizontal reflection, then vertical reflection


B) translation 4 units right, then vertical reflection


C) 180° clockwise rotation, then translation 7 units down


D) translation 5 units up, then dilation with a factor of


1


4

Answers

Answer:

D) translation 5 units up, then dilation with a factor of  1/4

Step-by-step explanation:

The Geometric Transformation over a triangle that produces a similar triangle an not a congruent one is, the one that makes its sides larger\smaller but maintain its angle measures. Namely, the Dilation.

1) In the example below, we have a pair of isosceles triangle ABC and DEF

2) Translating up 5 units adding 5 units to y in DEF

3) Check it out on the third graph how the triangle DEF is similar to ABC  share the same angle measure with different legs size.

4) So it's D

Answer:

The answer is d

Step-by-step explanation:

Question 2 and 3 in picture

Answers

The answer to number 2 is SAS
The answer to number 3 is SAS

jina deposits $300 into an account that pays simple interest at a rate of 5% per year.How much interest will she be paid in the first 6 years?​

Answers

Answer:402.03

Step-by-step explanation:

Increasing by 5% is just multiplying by 1.05 then you repeat step for x amount of years


Why are the elements placed into groups/families?

Answers

Answer:

The vertical columns on the periodic table are called groups or families because of their similar chemical behavior. All the members of a family of elements have the same number of valence electrons and similar chemical properties. The horizontal rows on the periodic table are called periods.

Step-by-step explanation:

which rate describes a unit price

$0.35 per minute

$0.75 per 1/2 cup

$1.00 per 3/4 cup

$4.00 per 4 minutes​

Answers

Answer:

$0.35 per minute

Step-by-step explanation:

Rate in terms of unit price is something made in 1 unit (seconds, cups, minutes etc.)

per minute refers to per 1 minute

Answer:

The answer is A 0.35 per minute

Step-by-step explanation:

What is the value of tan a ? 24/7 24/25 7/25 or 7/24

Answers

Answer:

24/7

Step-by-step explanation:

tan(A)=BC/AC

in the right angle triangle as shown in figure we can see

tan(A)=BC/AC

tan(A)=perpedicular /base

perpendicular is just opposite of  Angle(A) that is BC and base is AC

so tan(A)=BC/AC

Some equations have the form y=kx, where k is a number. Drag each equation to the correct category below

Answers

Answer:

Step-by-step explanation:

Has the form  y = kx :  

y = -0.05x

y =50x

Can be put in the form of y = kx:

y/7 = x

y/x = 6.5

other:

y = 1/5x - 1/5

2x + 1/2 = y

Final answer:

The equation y=kx is a form of a linear equation where there is a direct proportionality between the variables 'y' and 'x'. This equation reflects a direct variation scenario, where 'y' increases or decreases as 'x' does.

Explanation:

The question pertains to the understanding and categorization of linear equations, which are frequently used in Mathematics and Physics. You mention the equation y=kx, where 'k' is a number. It's a simplified version of the standard linear equation, y = mx + b, where 'm' is the slope (rate of change) and 'b' is the y-intercept (the value of 'y' when 'x' is zero). When 'b' is zero, we have the equation y=mx or in your context, y=kx, a direct proportionality.

For instance, if we see the equation y = 6x, it fits the category of y=kx where the 'k' value is 6. Such equations show a direct variation 'y' with 'x', meaning when 'x' increases or decreases, 'y' will also increase or decrease respectively.

Other forms of equations such as quadratic relationships or inverse relationships occur when the variables have a different kind of interaction, such as being squared or inversely proportional to each other.

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What are the domain and range of f(x) = 4* – 8?


domain: {x | x is a real number}; range: {yl y> -8}
domain: {x | x is a real number}; range: {yl y> 8}
domain: {x | x > 4}; range: {yly>-8}
domain: {x | x>-4}; range: {y | y>8}
O

Answers

Answer:

domain: {x | x is a real number}

range: {y l y> -8}

Step-by-step explanation:

f(x) = 4x² – 8 is a parabola, a U shape.

Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.

y > -8  because the minimum is -8.

Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.

Quadratic standard form:

f(x) = ax² + bx + c

"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.

"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.

"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.

Final answer:

The domain of f(x) = 4x - 8 is all real numbers, as x can take any value without restriction. The range is all values greater than or equal -8 because this is the function's minimum value (occurs when x=0).

Explanation:

In mathematics, the domain and range of a function represent the set of input values (x-values) and output values (y-values) respectively. For the function f(x) = 4x - 8, the domain is all real numbers, represented as {x | x is a real number} because there's no restriction on the values that x can take. On the other hand, the range is all values greater than or equal to -8, which is represented as {y | y > -8}, since the function's minimum value occurs at y=-8 (when x=0).

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Match the statements with their values. *see photo for reference*

Answers

Answer:

See the attached figure.

Step by step solution:

Part (1):

When ΔABC is an isosceles triangle with AB = AC

The summing of the three of the triangle = 180°

∴ m∠ABC + m∠BAC + m∠ACB = 180°

================================================

Part (2):

When ΔABC is an isosceles triangle with AB = AC

So, m∠ABC = m∠ACB = x

if m∠BAC = 70

∵ m∠ABC  + m∠ACB + m∠BAC= 180°

∴ x + x + 70 = 180 ⇒ x = 55°

∴ m∠ABC = 55°

===================================================

Part (3):

When m∠QRP = 30°, and ΔPQR is an isosceles triangle with PQ = QR

So, m∠QPR = m∠QRP = 30°

====================================================

Part (4):

When m∠BAC = 45° and points D and E are the midpoints of AB and BC in ΔABC

∵ Points D and E are the midpoints of AB and BC in ΔABC

∴ DE // AC

∴ m∠BDE = m∠BAC ⇒ the corresponding angles are congruent

∴ m∠BDE = 45°

p= -5x2 + 70x - 165​

Answers

For this case we have the following quadratic equation:

[tex]p = -5x ^ 2 + 70x-165[/tex]

To find the roots, we equal 0.

[tex]-5x ^ 2 + 70x-165 = 0[/tex]

Where:

[tex]a = -5\\b = 70\\c = -165[/tex]

The solution will be given by:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

Substituting we have:

[tex]x = \frac {-70 \pm \sqrt {70 ^ 2-4 (-5) (- 165)}} {2 (-5)}\\x = \frac {-70 \pm \sqrt {4900-3300}} {- 10}\\x = \frac {-70 \pm \sqrt {1600}} {- 10}\\x = \frac {-70 \pm40} {- 10}\\x = - (-7\pm4)[/tex]

We have two roots:

[tex]x_ {1} = 7-4 = 3\\x_ {2} = 7 + 4 = 11[/tex]

Answer:

[tex]x_ {1} = 3\\x_ {2} = 11[/tex]

Write the point slope form of the equation of the line through the given points.

EXPLAIN AND SHOW WORK! Please and thanks.

through: (5, -3) and (0, 3)

Answers

Answer:

[tex]\displaystyle y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \frac{3 + 3}{-5 ± 0} = -\frac{6}{5} = -\frac{1}{5}[/tex]

Then plug these coordinates into the Point-Slope Formula Remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. It does not matter which ordered pair you choose:

[tex]\displaystyle y - y_1 = m[x - x_1] \\ \\ y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]

I am joyous to assist you anytime.

15. What is the sum of a number and its
opposite?

Answers

Answer:

the sum of two numbers is multplication and its opposite is a negative version of it

Step-by-step explanation:

Write a sentence about a real-life situation that matches the equation |-29|=29.

Answers

Answer:

an object is 29cm away from the mirror how far is the image from the mirror. if the distance of object from mirror = distance of image from mirror

answer in absolute value

Final answer:

A real-life situation that matches the equation |-29|=29 could be measuring the distance between two opposite points on a number line.

Explanation:

A real-life situation that matches the equation |-29|=29 could be measuring the distance between two opposite points on a number line. For example, suppose you have a number line with -29 on one end and 29 on the other end. The absolute value of -29 is 29, which represents the distance between the two points.

The sum of the digits of a two-digit number is 11. If we interchange the digits then the new number formed is 45 less than the original. Find the original number.

Answers

Answer:

38

Step-by-step explanation:

the value of the number is 10*y (y is the tens digit) + x = 10x( now x is the tens digit) + y +45

9x+45=9y

x+5=y

x+y=11

x=11-y

x-11=-y

y=11-x

x+5=11-x

2x=6

x=3

y=8

original number is 38

A local boys club sold 176 bags of mulch and made a total cost of $520.They sold hardwood mulch for $3.50 per bag and pine bark mulch for $2.75 per bag.How bags of each type of mulch did they sell?

Answers

Answer:

So here is the answer.

We represent h = hardwood and p = pine bark

Here is the equation: h + p = 176

2.75p + 3.50h = 520

Next, p = 176 -h (substitute)

2.75 (176-h) + 3.5h = 520

484 -2.75h + 3.5h = 520

3.5h-2.75h = 520 -484

0.75h = 36 (divide both by 0.75)

h = 48

Therefore, the number of hardwood sold is 48.

h + p = 176

p = 176-48

p= 128

The number of pine bark sold is 128.

Hope this helps :)

Step-by-step explanation:

Final answer:

The problem revolves around solving a system of linear equations to find out how many bags of hardwood and pine bark mulch were sold by the boys club, given the total number of bags and the total revenue generated from the sales.

Explanation:

The student is asking for help with solving a system of linear equations using the information provided about the sale of mulch bags. We'll define two variables: let x represent the number of hardwood mulch bags and y represent the number of pine bark mulch bags sold. To solve for x and y, we need to set up two equations based on the given information:

Equation 1 (based on the number of bags): x + y = 176.Equation 2 (based on total cost): 3.50x + 2.75y = $520.

We solve this system of equations, possibly using the substitution or elimination method, to find the values of x and y that satisfy both equations, which will give us the number of bags of each type of mulch sold.

Richard earns $10.50 per hour at his summer job. He worked a total of 275 hours over the summer. If 40% of the money he earned was put in his savings account, how much was put in the savings account?

Answers

Multiply his pay rate by number of hours worked:

$10.50 x 275 hours = $2887.50

Now multiply his earnings by 40%:

2887.50 x 0.40 = 1155

He saved $1,155

A. 231
B. 39
C. 129
D. 51

Answers

Answer:

the answer is

129

Step-by-step explanation:

cyclic

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In the presence of arsenate there is no net formation of ATP from glycolysis, but NADH generation is not directly affected Arsenate brings glycolysis to an abrupt stop with immediate lethal consequences In the presence of arsenate glycolysis produces fewer ATP and NADH molecules per glucose molecule. Arsenate does not affect the number of ATP or NADH molecules generated per glucose molecule. (b) (c) (d) (e) A professor of biology has completed an experiment on speciation. The results indicate that the current understanding of how speciation occurs is incomplete. Which is the most appropriate way to share the results of this experiment?Sell findings to a newspaper or magazinePublish in a scientific journal for peer reviewHold a press conferenceShare with classes of university students Suppose that infile is an ifstream variable and it is associated with the file that contains the following data: 27306 savings 7503.35. Write the C11 statement(s) that reads and stores the first input in the int variable acctNumber, the second input in the string variable accountType, and the third input in the double variable balance. How do you do this problem? Within the last year, Mr. Shangkun has been fired by three different employers because they each discovered that he was stealing money or materials from their companies. Although he feels no remorse for his misdeeds, his outward signs of repentance have dissuaded his former employers from taking him to court. Mr. Shangkun's behavior is most indicative of: An applicant for an office receptionist position is disqualified for further consideration because she wears a hearing aid and the hiring manager needs someone who has good hearing. Under the Americans with Disabilities Act, courts are most likely to rule that____________________________________________.1) this action is not illegal because good hearing is an essential job function2) this action constitutes illegal discrimination because the applicant's hearing may be excellent with the help of a hearing aid3) this action constitutes illegal discrimination because the employer is discriminating on the basis of a perceived disability4) this action is not discrimination because the applicant is openly admitting to a disqualifying disability by wearing a hearing aid In what state would some one be least likely to successfully run their home on solar powerCalifornia Michigan New Mexico Texas Mr. W, 53 years old, is seen in the clinic with concerns about his left foot. He has a 40-year history of type 1 diabetes with fairly good control on twice-daily insulin. He denies injury but states that he tripped a few months previous and that his foot is sore when he walks. Physical examination reveals an edematous, erythemic, and warm foot. There is a superficial ulcer on the plantar surface. Which of the following is the most likely diagnosis? a. Fallen arch b. Arthritis c. Charcot joint d. Sprained ankle What is one of the reasons the Irish language was almost lost? A)boredom with the traditional language B)commerce and trade with English-speaking countries C)foreign invaders forced their languages on the Irish D)the belief that the traditional language was too difficult 50. As a pendulum swings back and forth,A) potential energy is transformed into kinetic energyB) kinetic energy is transformed into potential energyC) at the lowest part of the swing the potential energy is the lowestD) all of the above are true For a block to move down an inclined plane what force has to be the greatest?A. CompressionB. NormalC. tensionD. GravityE. Shear Jake owns twice as many DVDs as Louis.Bo has sixty fewer DVDs than five times Louiss collection. If Jake and Bo have the same amount of DVDs how DVDs are in Louiss collection? Steam Workshop Downloader