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Deffense [45]
3 years ago
14

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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Select the two statements that are true about the equation y+6=−10(x−3).
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I have taken that test (although I don't see you're statements)

I believe the statements to choose from are:

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B.) The slope of the line is 3.

C.) One point on the line is (3, 6).

D.) One point on the line is (3,−6)

<u>The answers are:</u>

A.) The slope of the line is -10

D.) One point on the line is (3,-6)

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The given equation of line is (1).  The point slope form of a line is  (2)  Where m is the slope of line and (x₁,y₁) are points.  On comparing (1) and (2) we get The slope of given line is -10 and the line passing through the points (3,-6).

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3 years ago
Which of the following statements describe the system ?​
algol [13]

Answer:

one solution

Step-by-step explanation:

here, we want to select the correct option

From the system, we have two values of y

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What this mean is that there is only a particular point where this solution will work and as such, the system has one solution

3 0
2 years ago
Questions 1-14of 14
matrenka [14]
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Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
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Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

V=\frac{1}{3}\pi r^2 h

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

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3 years ago
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