Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A mold culture covering 125cm^(2) shrinks to two-fifths of the previous day's size each day. How big is mold culture after five days?

A mold culture covering 125 cm2 125 \mathrm{~cm}^{2} shrinks to two-fifths of the previous day's size each day. How big is mold culture after five days?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Convert between customary and metric systemsright chevron icon

Full solution

Q. A mold culture covering 125 cm2 125 \mathrm{~cm}^{2} shrinks to two-fifths of the previous day's size each day. How big is mold culture after five days?
  1. Understand the problem: Understand the problem.\newlineWe are given that a mold culture starts at 125 cm2125 \, \text{cm}^2 and shrinks to two-fifths of its size each day. We need to find out the size of the mold culture after five days.
  2. Determine formula: Determine the formula to calculate the size of the mold culture after each day.\newlineThe size of the mold culture after each day can be calculated by multiplying the current size by two-fifths 25\frac{2}{5}.
  3. Calculate day 11: Calculate the size of the mold culture after the first day.\newlineSize after day 11 = Initial size ×\times 25\frac{2}{5}\newlineSize after day 11 = 125 cm2125 \, \text{cm}^2 ×\times 25\frac{2}{5}\newlineSize after day 11 = 50 cm250 \, \text{cm}^2
  4. Calculate day 22: Calculate the size of the mold culture after the second day.\newlineSize after day 22 = Size after day 11 ×\times 25\frac{2}{5}\newlineSize after day 22 = 50 cm250 \, \text{cm}^2 ×\times 25\frac{2}{5}\newlineSize after day 22 = 20 cm220 \, \text{cm}^2
  5. Calculate day 33: Calculate the size of the mold culture after the third day.\newlineSize after day 33 = Size after day 22 ×\times 25\frac{2}{5}\newlineSize after day 33 = 20 cm220 \, \text{cm}^2 ×\times 25\frac{2}{5}\newlineSize after day 33 = 8 cm28 \, \text{cm}^2
  6. Calculate day 44: Calculate the size of the mold culture after the fourth day.\newlineSize after day 44 = Size after day 33 ×\times 25\frac{2}{5}\newlineSize after day 44 = 8 cm28 \, \text{cm}^2 ×\times 25\frac{2}{5}\newlineSize after day 44 = 3.2 cm23.2 \, \text{cm}^2
  7. Calculate day 55: Calculate the size of the mold culture after the fifth day.\newlineSize after day 55 = Size after day 44 ×\times 25\frac{2}{5}\newlineSize after day 55 = 3.23.2 cm2^2 ×\times 25\frac{2}{5}\newlineSize after day 55 = 1.281.28 cm2^2

More problems from Convert between customary and metric systems

Question
Convert: \newline1 1 tbsp 2 2 tsp = _____ \_\_\_\_\_ tsp
Get tutor helpright-arrow

Posted 7 months ago

Question
Omar consumed 710710 milliliters of energy drink yesterday. How many liters of energy drink did he consume?\newline(Round your answer to the nearest hundredth of a liter.)
Get tutor helpright-arrow

Posted 8 months ago

Question
A real estate purveyor purchases a 6060,000000 square foot (ft2) \left(\mathrm{ft}^{2}\right) warehouse and decides to turn it into a storage facility. The warehouse's width is exactly 23 \frac{2}{3} of its length. What is the warehouse's width? Round your answer to the nearest foot.
Get tutor helpright-arrow

Posted 8 months ago

Question
A baker uses 33 cups (c) of flour to bake 22 loaves of bread. If 11 pound (lb) of flour is equivalent to 313c 3 \frac{1}{3} \mathrm{c} , how many loaves of bread can the baker make with a 10lb 10 \mathrm{lb} -bag of flour?\newline(Round the answer to the nearest whole number.)
Get tutor helpright-arrow

Posted 7 months ago

Question
Ella deposited $2500 \$ 2500 into a savings account.\newlineThe relationship between the time, t t , in years, since the account was first opened, and Ella's account balance, B(t) B(t) , in dollars, is modeled by the following function.\newlineB(t)=2500⋅e0.025t B(t)=2500 \cdot e^{0.025 t} \newlineWhat will the balance of Ella's savings account be after 44 years? Round your answer, if necessary, to the nearest hundredth.\newline$ \$
Get tutor helpright-arrow

Posted 8 months ago

Question
Maya needs to rent a car while on vacation. The rental company charges $17.95\$17.95, plus 1818 cents for each mile driven. If Maya only has $40\$40 to spend on the car rental, what is the maximum number of miles she can drive? \newlinemiles \newline(Round your answer down to the nearest whole mile)
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the area of a circle whose circumference is 14471447 meters? (Use π=3.14\pi=3.14 ) (Answer: 166698.73 m2166698.73\,\text{m}^2 )
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the area of a circle whose circumference is 14471447 meters? (Use π=3.14\pi = 3.14) (Answer: 166698.73 m2166698.73 \, \text{m}^2)
Get tutor helpright-arrow

Posted 7 months ago

Question
Convert 1313 feet to meters using 3.2813.281 feet : 11 meter\newlineRound answers to hundredths of meters (or 22 decimal places)
Get tutor helpright-arrow

Posted 8 months ago

Question
Convert 1414 feet to meters using 3.2813.281 feet: 11 meter\newlineRound answers to hundredths of meters (or 22 decimal places)
Get tutor helpright-arrow

Posted 8 months ago

View all (114)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant