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charle [14.2K]
2 years ago
11

What is the unit rate for 15 apples eaten in 5 minutes for 15 apples eaten in 5 minutes

Mathematics
1 answer:
USPshnik [31]2 years ago
8 0

The unit rate is 3 apples per minute

Step-by-step explanation:

Unit rate will be calculated by dividing the total number of apples by the time

Given

Total number of apples = 15

Time = 5 min

So, The unit rate will be:

Unit\ rate=\frac{Apples}{Time}\\=\frac{15}{5}\\=3\ apples\ per\ min

Hence,

The unit rate is 3 apples per minute

Keywords: Unit rate, Division

Learn more about unit rate at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

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Dmitry_Shevchenko [17]
<span>Consider the remainder of the division of the power exponent of i by 4.
For a remainder r equal to 0, 1, 2 or 3, we have a power equal to 1, i, -1 or -i respectively, therefore:

</span>8i^7+6i^5-5i^3-3i^2-7i-9 =
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Answer:
\boxed{- 6 - 4i}

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5 0
2 years ago
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.
trasher [3.6K]

Answer:

\frac{xe^{7x}}{7} + \frac{e^{7x}}{49}

Step-by-step explanation:

Given the integral equation

\int\limits{xe^{7x}} \, dx \\

According to integration by part;

\int\limits {u} \, dv = uv +  \int\limits {v} \, du

u = x, dv = e^7x

du/dx = 1

du = dx

v = \int\limits {e^{7x}} \, dx \\v = e^7x/7

Substitute the given values into the formula;

\int\limits {xe^{7x}} \, dx = x(e^{7x}/7) + \int\limits ({e^{7x}/7}) \, dx\\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{7*7} \\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{49}

3 0
2 years ago
Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent th
hodyreva [135]

Answer:

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = x.

The number of quarters = y.

So, the total number of coins:

x+y=15.

He had 3 more quarters than nickels.

Thus,

y=x+3 .....(1)

Now, to get the solution:

x+y=15

Substituting the equation (1):

x+(x+3)=15

x+x+3=15

2x+3=15

<em>Subtracting both sides by 3 we get:</em>

<em />2x=12<em />

<em>Dividing both sides by 2 we get:</em>

x=6.

<em>The number of nickels = 6.</em>

Now, substituting the value of x in equation (1):

y=x+3\\\\y=6+3\\\\y=9.

<em>The number of quarters = 9.</em>

Thus, there are 6 coins in nickels and 9 coins in quarters.

6 0
3 years ago
A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete
zvonat [6]

Answer:

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And the area would be:

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Step-by-step explanation:

For this case we know one side of a square given 6mm.

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The area for this case is given by:

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P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

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2 years ago
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loris [4]

Answer: the correct answer is 76

Step-by-step explanation:

(APEX)

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3 years ago
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