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2 years ago

9

Catherine jogged 2/9 hour on her first day of training for the track team. What decimal represents the amount of time she spent

jogging?

1 answer:

Andru [333]2 years ago

8 0

Answer:

0.22 hour, or 13.33 minutes

Step-by-step explanation:

2/9 hour is roughly equivalent to 0.22 hour, or 13.33 minutes.

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Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

emmasim [6.3K]

Answer:

$\frac{12}{35}$

Step-by-step explanation:

Given :

→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

i.e, The ratio of red paint to blue paint is 3:5

→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.

i.e, The ratio of red paint to blue paint is 4:7

To find :

1) Compare the ratios of red paint to blue paint.

$\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}$

2) The ratio for Purple People Eater can be expressed in fraction form as :

$=\frac{3}{5}$

3) The ratio for Purple Majesty can be expressed in fraction form as :

$=\frac{7}{4}$

4) To compare these fractions, rewrite them with a common denominator

For common denominator

Multiply numerator and denominator by 4 in $\frac{3}{5}$

$\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}$

Multiply numerator and denominator by 5 in $\frac{7}{4}$

$\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}$

Common denominator is 20

6 0

1 year ago

Read 2 more answers

The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?

mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0

2 years ago

Which is a stretch of an exponential growth function? f(x) = Two-thirds (two-thirds) Superscript x f(x) = Three-halves (two-thir

Arte-miy333 [17]

Answer:

f(x) = Three-halves (three-halves) Superscript x

f(x) = Two-thirds (three-halves) Superscript x

Step-by-step explanation:

Since, a function in the form of $f(x) = ab^x$

Where, a and b are any constant,

is called exponential function,

There are two types of exponential function,

Growth function : If b > 1,

Decay function : if 0 < b < 1,

Since, In

$f(x) =\frac{2}{3}(\frac{2}{3})^x$

$\frac{2}{3} < 1$

Thus, it is a decay function.

in $f(x) =\frac{3}{2}(\frac{2}{3})^x$

$\frac{2}{3} < 1$

Thus, it is a decay function.

in $f(x) =\frac{3}{2}(\frac{3}{2})^x$

$\frac{3}{2} > 1$

Thus, it is a growth function.

in $f(x) =\frac{2}{3}(\frac{3}{2})^x$

$\frac{3}{2} > 1$

Thus, it is a growth function.

5 0

2 years ago

Read 2 more answers

The lengths of text messages are normally distributed with an unknown population mean. A random sample of text messages is taken

anygoal [31]

Answer:

95% of the text messages have length between 23 units and 47 units.

Step-by-step explanation:

We are given the following in the question:

The lengths of text messages are normally distributed.

95% confidence interval:

(23,47)

Thus, we could interpret the confidence interval as:

About 95% of the text messages have length between 23 units and 47 units.

By Empirical rule for a normally distributed data, about 95% of data lies within 2 standard deviations of mean , thus we can write:

$\mu - 2\sigma = 23\\\mu +2\sigma = 47\\\Rightarrow \mu = 35\\\Rightarrow \sigma = 6$

Thus, the mean length of text messages is 23 units and standard deviation is 6 units.

8 0

1 year ago

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The Zonda Information and Telephone Company (ZI&T) calculates a customer’s total monthly cell phone

Olenka [21]

Answer:

The answer of the following question is m = \frac{C - b - bt}{r + rt}.

Solution:

C = (b + rm)(1 + t),

C = b + rm + bt + rmt

C = b + bt + rm + rmt

C - b - bt = m (r + rt)

\frac{C - b - bt}{r + rt} = m

t\neq -1,

r\neq 0

6 0

2 years ago