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dezoksy [38]
3 years ago
5

A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu

tes Write an equation to represent the distance the car travels,d, in the miles for h hours
Mathematics
1 answer:
Flura [38]3 years ago
7 0

Answer:

The speed of car in miles per minute is  \frac{2}{3} miles per minute and

The speed of car in mile per hour is 40 miles per hour,

Step-by-step explanation:

Given as :

The distance cover by car = 2 \frac{1}{3} = \frac{7}{3} miles

The Time taken by car to cover distance =  3 \frac{1}{2} min =  \frac{7}{2} min

The speed o car in miles per minute = S miles/min

So, Speed = \dfrac{\textrm Distance}{\textrm Time}

Or, S = \frac{\frac{7}{3}}{\frac{7}{2}} mie per min

∴  S = \frac{2}{3} miles per minute

Now, Let The speed of car in miles per hour = x miles/h

So, Time in hour = \frac{7}{2} × \frac{1}{60} = \frac{7}{120} hours

So ,  Speed = \dfrac{\textrm Distance}{\textrm Time}

Or, x = \frac{\frac{7}{3}}{\frac{7}{120}} miles per hours

Or, x = 40 miles per hours

Hence The speed of car in miles per minute is  \frac{2}{3} miles per minute and the speed of car in mile per hour is 40 miles per hour, answer

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If x &gt; 0, which of the following is positive? <br> 1. -x<br> 2. x^2<br> 3. (-x)^3<br> 4. 1/-x
lapo4ka [179]

Answer:

x^2

Step-by-step explanation:

x > 0~\text{means that x is positive number.}

\text{Square of both negative and positive numbers are always positive.}\\\\\text{So,}~ x^2~\textbf{is positive.}

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2 years ago
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How many possibilities are there for a license plate with 3 letters and 3 numbers?
DochEvi [55]
The total number of arrangements of three letters followed by three digits is then the product of the number of options available at each step and is then 26⋅26⋅26⋅10⋅10⋅10=263⋅103 hope this helps!! also don’t open the link the other person posted, it’s a virus
8 0
3 years ago
What Is 3/8+1/8-1/3+1/4
konstantin123 [22]
Solutions 

1) The first step is to find the Least Common Denominator (LCD) of <span>3/8,1/8,1/3,1/4

</span>⇒ Start Listing Multiples

List out all multiples of each denominator, and find the first common one.

8: <span><span>8,16,24</span>
</span>
8 : <span>8,16,24
</span>
3 : <span>3,6,9,12,15,18,21,24
</span>
4 : <span><span>4,8,12,16,20,24</span>
</span>
Therefore, the LCD is <span>24

</span>⇒ By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

8 : <span>2,2,2</span>
8 : <span>2,2,2</span>
3 : 3
4 : <span><span>2,2</span>
</span>
Therefore, the LCD is <span>2×2×2×3=24

</span>Make the denominators the same as the LCD
<span><span><span>3×3 / </span><span>8×3 </span></span>+<span><span>1×3 / </span><span>8×3 </span></span>−<span><span>1×8 / </span><span>3×8 </span></span>+<span><span>1×6 / </span><span>4×6

</span></span></span>Simplify. Denominators are now the same
<span><span>9 / 24</span>+<span>3 / 24</span>−<span>8 / 24</span>+<span>6 / 24

</span></span>Join all the denominators
<span><span>9+3−8+6 / </span>24

</span>Simplify
<span>10 / 24

</span>Simplify fraction 10 / <span>24</span>
<span>5 / 12</span>
4 0
3 years ago
Read 2 more answers
The volume of a cone is 763.02 cubic inches. The radius and height of the cone are equal. What is the radius of the cone?
Hoochie [10]

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

hope this helps

7 0
3 years ago
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