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3 years ago

Write a unit rate for the situation. Round to the nearest hundredth if necessary.

Mathematics

2 answers:

labwork [276]3 years ago

8 0

Answer: The correct option is

(D) 0.85 miles/min.

Step-by-step explanation: We are given to find the unit rate for the following situation :

"driving 140 miles in 2 hour 45 min."

We know that

1 hour = 60 minutes.

So, we get

2 hours 45 minutes = 2 × 60 + 45 = 120 + 45 = 165 minutes.

Now, we will use the UNITARY method.

In 165 minutes, distance drove = 140 miles.

Therefore, in 1 minutes, distance drove is given by

$\dfrac{140}{165}=0.848484...=0.85~\textup{miles}.$

Thus, the required unit rate is 0.85 miles/minute.

Option (D) is CORRECT.

Paraphin [41]3 years ago

4 0

2 hr and 45 minutes is = to 165min, so do 140 divided by 165, and you will get 0.8484miles per minute, which is D

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3 years ago

In a room, there are 450 students of which 20% are girls. A group of students have mobile phones with them, of which 40% are gir

andrew-mc [135]

Answer:

216 boys

Step-by-step explanation:

450 students: 20% girls, 80% boys

450*20%=90 girls

450*80%=360 boys

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4 0

3 years ago

Read 2 more answers

How to solve this question

VMariaS [17]

The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

 $\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2$

Since variance has to be 14, we set $\sigma^2 = 14$ and solve for m

$14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\
14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\
0 = \frac{-88}{9} -\frac{14}{9}m + \frac{2}{9}m^2
$

quadratic formula

$m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\
m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \frac{10}{3} }{\frac{4}{9} } \\
m = 11, -4$

-4 doesnt' work as it is not a positive integer

m = 11

5 0

3 years ago

Solve the equation using square roots. 2x^2-98=0

Yuliya22 [10]

Step-by-step explanation:

2x²-98=0

2x²=98

x²=98/2

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x=root 49

so,x=7

if it is correct answer then please follow me

3 0

3 years ago

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sergij07 [2.7K]

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and then you just do the maths 27-13=14

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3 years ago