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3 years ago

Avery spent 170 minutes outside. If

Mathematics

2 answers:

tiny-mole [99]3 years ago

7 0

Answer:

58 minutes

Step-by-step explanation:

s = 170 - 64 - 48

s = 58

Aleksandr-060686 [28]3 years ago

7 0

Answer:

Avery spent 58 minutes swimming

Step-by-step explanation:

You might be interested in

Evaluate the sum of the following finite geometric series.

rjkz [21]

Answer:

$\large\boxed{\dfrac{156}{125}\approx1.2}$

Step-by-step explanation:

<h3>Method 1:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\\\\for\ n=1\\\\\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1\\\\for\ n=2\\\\\left(\dfrac{1}{5}\right)^{2-1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}\\\\for\ n=3\\\\\left(\dfrac{1}{5}\right)^{3-1}=\left(\dfrac{1}{5}\right)^2=\dfrac{1}{25}\\\\for\ n=4\\\\\left(\dfrac{1}{5}\right)^{4-1}=\left(\dfrac{1}{5}\right)^3=\dfrac{1}{125}$

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}=\dfrac{125}{125}+\dfrac{25}{125}+\dfrac{5}{125}+\dfrac{1}{125}=\dfrac{156}{125}$

<h3>Method 2:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\to a_n=\left(\dfrac{1}{5}\right)^{n-1}\\\\\text{The formula of a sum of terms of a geometric series:}\\\\S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\r-\text{common ratio}\to r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=\left(\dfrac{1}{5}\right)^{n+1-1}=\left(\dfrac{1}{5}\right)^n\\\\r=\dfrac{\left(\frac{1}{5}\right)^n}{\left(\frac{1}{5}\right)^{n-1}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=\left(\dfrac{1}{5}\right)^{n-(n-1)}=\left(\dfrac{1}{5}\right)^{n-n+1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}$

$a_1=\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1$

$\text{Substitute}\ a_1=1,\ n=4,\ r=\dfrac{1}{5}:\\\\S_4=1\cdot\dfrac{1-\left(\frac{1}{5}\right)^4}{1-\frac{1}{5}}=\dfrac{1-\frac{1}{625}}{\frac{4}{5}}=\dfrac{624}{625}\cdot\dfrac{5}{4}=\dfrac{156}{125}$

5 0

4 years ago

23÷10=<br> how to work it out

zaharov [31]

The answer is 2.3 :)

7 0

4 years ago

Read 2 more answers

A hot piece of metal is cooling at a constant rate of 10 *c per minute

timurjin [86]

The interpretation of -10c/60 seconds is that the metal loses 10 degrees Celsius every 60 seconds

<h3>How to interpret the expression?</h3>

The expression is given as:

-10c/60 seconds

From the question, we understand that:

The temperature decreases by 10c every minute

When converted to seconds, we have:

10c/60

Hence, the interpretation of -10c/60 seconds is that the metal loses 10 degrees Celsius every 60 seconds

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0

2 years ago

Given the inverse variation equation y=24/x, as the value of x increases, what does the value of y approach? (An exact number)

LenKa [72]

As x approaches positive infinity y approaches 0.

8 0

3 years ago

Please help me with this, Thank you

lesya [120]

Answer:

y = $\frac{6}{5}$

Step-by-step explanation:

Given

6 | 5y - 1 | - 1 = 29 ( add 1 to both sides )

6 | 5y - 1 | = 30 ( divide both sides by 6 )

| 5y - 1 | = 5

The absolute value function always returns a positive value. However, the expression inside can be positive or negative, thus

5y - 1 = 5 ( add 1 to both sides )

5y = 6 ( divide both sides by 5 )

y = $\frac{6}{5}$

- (5y - 1) = 5, that is

- 5y + 5 = 5 ( subtract 5 from both sides )

5y = 0 ⇒ y = 0

As a check substitute these values into the left side and if equal to the right side then they are the solutions.

x = 0 : 6|0 - 1 | - 1 = 6 | - 1| - 1 = 6(1) - 1 = 6 - 1 = 5 ≠ 29

x = $\frac{6}{5}$ : 6 | 6 - 1 | - 1 = 6(5) - 1 = 30 - 1 = 29

Thus x = $\frac{6}{5}$ is a solution, x = 0 is extraneous

5 0

3 years ago