Maths-
General
Easy
Question
A book was on sale for
off its original price. If the sale price of the book was
, what was the original price of the book? (Assume there is no sales .)
Hint:
Hint:
- A percentage is a numeral or ratio that can be defined as a fraction of 100
The correct answer is: ![straight $ 30.00](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAAOCAYAAACPW1QeAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAZtJREFUeNrdlrFKA0EQho9whCAhIBb2FlYivkAIaYKEECRgIRYigqXYWeQFLMVCEBFfwEJEJI2ElL6AiCBimUbEIiwSOP+DP+Fc5/bm1koHvuJ2/3/2hszNJgh+RhT8kyiBI/DOokbgGtQsXR3cct+AJ/rmhJwVcALuySnXXKH1qHRnYA8UWNQM2AQDS9cHHVBMrK2AnnDwHWgnnltcc4XWo9IZFuTbfh/W8zo4FnTxr7qRkkPrUed+AIueRS2AR2vtEjQEbZ17Umg96txNMAQ7OYqaB9v8rprW3pvVopMo8hwptJ5cuXfBmEW1HcVEFvuCZuzwf6asaz25cy/xRQ0HhytmwRqnTy3HCxqPoswvc0/b74BTJSvKLCwZw5QWKTnaT+vxyT0tKgTPyu/LCB/9qqBrZAwKjccn97eiXhUFLXNYJKPDu8+OC8dI13rUuXusdHL5Fth+Xcs44D0RUhOP0RewJRzS5xAJ2S5d4TKPrGmr8ah1VXDFNop4mR4KyWLdDXWGyVuOQXJO3Yh/ZcoZRWk8eXTZE+SvxBfFBIy2XiBsVQAAAGx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+JDwvbWk+PG1uPjMwLjAwPC9tbj48L21hdGg+dh8KmwAAAABJRU5ErkJggg==)
Explanation:
- We have given a book was on sale for
off its original price. If the sale price of the book was
Step 1 of 1:
Let the actual price of the book be x
- Since the book is to be sold for off its original price, the actual cost of the book is
![x cross times left parenthesis 100 minus 40 right parenthesis straight percent sign](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHQAAAAgCAYAAADDhVzGAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAEx0lWhwAAAtFJREFUeNrtmcFnXEEcx1esiFolInpYVap6jFBVURWlIofoIfSQY4WoiMp9RQ9RIoeqqlJVPUT1EhGxIqyoilglonro/5BLDj3EWmX7m/ju+mUyM29m3uzG8vvw9d6b95v3fju/NzO/mS0UBEEQBEEQBEEQBEEQBEEQBEEQBEEQhG6wSFqTZrjAGtql7xgj1SV+Rg7RPn3n9Lih/C5phfTLUfc66QPpJ/QRZbF2qZkhtXL4fo90wK5vwraJY1mzf0CqXWUwxxFQExukBUeDKPZJT7UG3M9hl5IS6Y/Df1+fDhBYxS7pFc4rpD1mN0o6wvHKWCctZdjYGuQZ6Z2h/C1pLsIuNarHzVv8D/HpJcsvGqQizou4blNDD73EvCVBWcU9ExUo9J76wh5FBnSTNGUof4x7oXYpech6WyuH74oJ9iwe0AHSGUugXrgcOibdYNfPSe8zfoQpcK5gKv6SBiMDemqpq8pOIuxSoZ77m3TL4X+IT4NoJ8U2G3KXSVUM2xtZTk2T3uD8ScB8wwOYFUzFP49ntiLqNiPsUi43ljL8D/WpXVbGiqCJ4yRykCEfx2qooLLMkYAfVEHdiodttwLaiLDT35kl2xLs0MP/UJ9MQb6GhGmSBdmU+XZYhlHoOigkoHmG3BNL3SFt2PK1S4Fq0Dse/of4xIdczlcMt1VH5nthUt/EsDsXGMyQIbeGd8UmRdOG8ilDUuRjlwLfXh3i04RhylMJ0GuPzPec26QddOkS1jYjgcH0TYryLFtmSZ8M5V+0j9DXrlu0cvheQPuss+v72uZBAxmvnvl2Fqe7WgBnPLKo2GWLa2MhK6CK75gaihia1Ht+5LDrVUBDfOIbC6OYL/nmQRU7ajzz7YzVW5ZJ9ZtliEhB3TJP+yQiw6TP+ErPsJgv5bDrZUB9fNK3/kybB2W2HVh3JUW9Qjbn7fTl5nx7kpe/zy7nFwuxlf8DyRjnBZUKXxkAAADtdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtaT54PC9taT48bW8+JiN4RDc7PC9tbz48bW8+KDwvbW8+PG1uPjEwMDwvbW4+PG1vPiYjeDIyMTI7PC9tbz48bW4+NDA8L21uPjxtbz4pPC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+JTwvbWk+PC9tYXRoPlO0GIMAAAAASUVORK5CYII=)
![x cross times 60 straight percent sign](data:image/png;base64,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)
0.6x
Therefore,
0.6x =18
x=30
Hence, Option C is correct.
Let the actual price of the book be x
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A retail company has 50 large stores located in different areas throughout a state. A researcher for the company believes that employee job satisfaction varies greatly from store to store. Which of the following sampling methods is most appropriate to estimate the proportion of all employees of the company who are satisfied with their job?
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Which of the following is equivalent to ![2 x open parentheses x squared minus 3 x close parentheses ?](data:image/png;base64,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)
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Maths-General
Maths-
![](data:image/png;base64,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)
The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B?
![](data:image/png;base64,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)
The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B?
Maths-General
Maths-
Check if the number is rational or irrational for 83.396668…
Check if the number is rational or irrational for 83.396668…
Maths-General
Maths-
Check if the number is rational or irrational for
( Golden ratio)
Check if the number is rational or irrational for
( Golden ratio)
Maths-General
Maths-
![f left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 end fraction](data:image/png;base64,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)
For the function f defined above, what is the value of f(-1)?
![f left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 end fraction](data:image/png;base64,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)
For the function f defined above, what is the value of f(-1)?
Maths-General
Maths-
If ,
what is the value of 3x ?
If ,
what is the value of 3x ?
Maths-General
Maths-
Check if the number is rational or irrational for 89.402106106106106……..
Check if the number is rational or irrational for 89.402106106106106……..
Maths-General
Maths-
Find the equivalent fraction for the following decimal number 0.57894736842 and say whether it is a rational number or an irrational number?
Find the equivalent fraction for the following decimal number 0.57894736842 and say whether it is a rational number or an irrational number?
Maths-General
Maths-
what is the value of ![left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?](data:image/png;base64,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)
what is the value of ![left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?](data:image/png;base64,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)
Maths-General
Maths-
Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of previews. After eating half of the popcorn, he stops eating for the next 30 minutes. Then he gradually eats the popcorn until he accidentally spills all of the remaining popcorn. Which of the following graphs could represent the situation?
Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of previews. After eating half of the popcorn, he stops eating for the next 30 minutes. Then he gradually eats the popcorn until he accidentally spills all of the remaining popcorn. Which of the following graphs could represent the situation?
Maths-General
Maths-
A text messaging plan charges a flat fee of
per month for up to 100 text messages sent plus
for each additional text message sent that month. Which of the following graphs represents the cost, y , of sending texts in a month?
A text messaging plan charges a flat fee of
per month for up to 100 text messages sent plus
for each additional text message sent that month. Which of the following graphs represents the cost, y , of sending texts in a month?
Maths-General
Maths-
Explain whether the following are rational or irrational and justify it.
e (Euler’s number = 2.7182818284590452353602874713527)
Explain whether the following are rational or irrational and justify it.
e (Euler’s number = 2.7182818284590452353602874713527)
Maths-General
Maths-
Explain whether the following are rational or irrational and justify it.
![stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below](data:image/png;base64,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)
Explain whether the following are rational or irrational and justify it.
![stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below](data:image/png;base64,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)
Maths-General
Maths-
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 3 y equals 1200 end cell row cell 3 x plus 2 y equals 1300 end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHoAAAAnCAYAAADASVzNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA3hJREFUeNrtml+EVUEcx0dWVlasa+1DD7GSJKvXrKzISrLWkiRJouf7nvSQSA/XSmJlJSuRK0lWJGsliSTpIZGe96WHfVjXWm6/4XsY08w5M3P2zEx3f1++3DPnd9xzfvPnN+f4CGHWFLlL3iBvkb+SL4n0OkVeIW+Se+Sf5AVyK/F9HSbfRJ7q5nM/+SH5E7yIttC4Uq2RL5JHcHyU/AFtKbVKnifvVdqOk98kvq9l8nVyfwfy+Y48qxyfQ1tonLcOkr81lKh+zes3RB7q18znefJ9Q+yCNihc44LVM7RdI981tN/GuaY7eoL8Q2tbIl8wxLbJdzLpaFM+5fI+YylZ3YC4IJ3AcmPSF/K4cnyV/KDhGT2O/5F1+qx27gr5nta2D7Ety/9Xeaefw5TPP1pZKiTb1gPivDWMgj9lOX+G3MHv0wG1ou8Zq7ptiJEd/1xru4UNUw5Lty2f2yXXbAXEeWmU/NKyVKh6S57GjrLl2VkhM0je1xwSNq2dk///XTkeI/9CglN3dFk+tx2Xedc4r/onb+qQQ2wbo2ky8mZsBJ2ta1P53bHM/NhLd1U+1y1L8rC2JLvGOekI+RFqW5WK98RO4K6v7q7bNIrfI7ETmM17Eu+6XfLZRRnUNWPYjLnEOW10ZI0bcpz1r/AAcnZ9DviAUaejJ7HJ0vUE75lPyZcTv1655nMeg0HXY20CucZV6jVGYJXG8KWqpb24LzfU0Wt4hxzCDJWvE7+xyzaVkqUG3/19nsM1n8VHoTaeUS7PN/DcoXHBmyV1K/+CfMBw/TPL0lJXJ5G0HryKgWXSHO53NlIHl9V0n9o/igHawz5jUfmiFhI38JId/FGwBl4r+CjBGmAdwxLPYrFYLBaLxWKxWCwWi8Vi+SlXfjpX3ryK6/bJZ1SuO1d+OlfevIrr9slncq5biOb46TrgQZO8edPPoeczC67bxE9Lpea6hfgXJfofuG5TPpNy3WX8dKEUXHchEx+dM9ddls8kXLcLP10oJtetysZH58h1u+QzOddt46dVpeC6bXx07ly3LZ/JuG5VNn5arX+xuG4X3jxHrrsqn0m4bp/REpPrduXNc+O6XfIZnes2ycZPx+S6fXjznLhu13xG57pd+enYXLcPH50T1+3Do0flul346RRct08NzYnr9uHRmev2FHPdu0TMde8CMdet6S+X9qQvzGoH+gAAAZp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRhYmxlIGNvbHVtbmFsaWduPSJyaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCIgY29sdW1uc3BhY2luZz0iMGVtIDJlbSAwZW0gMmVtIDBlbSAyZW0gMGVtIDJlbSAwZW0gMmVtIDBlbSI+PG10cj48bXRkPjxtbj4yPC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4zPC9tbj48bWk+eTwvbWk+PG1vPj08L21vPjxtbj4xMjAwPC9tbj48L210ZD48L210cj48bXRyPjxtdGQ+PG1uPjM8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjI8L21uPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjEzMDA8L21uPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWF0aD6xs4o8AAAAAElFTkSuQmCC)
Based on the system of equations above, what is the value of 5x 5y?
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 3 y equals 1200 end cell row cell 3 x plus 2 y equals 1300 end cell end table](data:image/png;base64,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)
Based on the system of equations above, what is the value of 5x 5y?
Maths-General