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Olegator [25]
3 years ago
5

A bird flies across your backyard at 4.0 feet per second. How many miles can the bird travel in 2.1 hours (rounded to the neares

t tenth)?
A) 2.8 mi
B) 3.2 mi
C) 5.7 mi
D) 9.7 mi
Mathematics
1 answer:
baherus [9]3 years ago
6 0
1 minute = 60 seconds
1 hour = 60 minutes = 60*60 seconds = 3600 seconds
1 hour = 3600 seconds

Multiply both sides by 2.1 to get
1 hour = 3600 seconds
2.1*(1 hour) = 2.1*(3600 seconds)
2.1 hours = 7560 seconds

Now use the formula below
d = r*t
where,
d = distance
r = rate or speed
t = time

In this case,
d = unknown
r = 4 ft per sec
t = 7560 seconds (equivalent to 2.1 hours)

So,
d = r*t
d = 4*7560
d = 30240
The bird can travel 30240 feet. Convert this to miles by dividing the value by 5280 (since 1 mile = 5280 feet)

30240/5280 = 5.727 roughly which rounds to 5.7

Answer: C) 5.7 miles
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castortr0y [4]

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4 0
3 years ago
Pls help me on this!
kupik [55]

Answer:

C) 1/25

Step-by-step explanation:

In the denominator the term is 5^2, which equals 25. Therefore you're left with 1/25

8 0
3 years ago
3^4x-5=(1/27) PLEASE HELP I AM IN TEARS
g100num [7]
 x = 136/2187 = 0.062

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     3^4*x-5-(1/27)=0 

<span>Step by step solution :
</span><span>Step  1  :</span> 1 Simplify —— 27 <span>Equation at the end of step  1  :</span><span> 1 (((34) • x) - 5) - —— = 0 27 </span><span>Step  2  :</span>

<span>Equation at the end of step  2  :</span><span> 1 ((34 • x) - 5) - —— = 0 27 </span><span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Subtracting a fraction from a whole 

Rewrite the whole as a fraction using <span> 27 </span> as the denominator :

81x - 5 (81x - 5) • 27 81x - 5 = ——————— = —————————————— 1 27

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(81x-5) • 27 - (1) 2187x - 136 —————————————————— = ——————————— 27 27 <span>Equation at the end of step  3  :</span> 2187x - 136 ——————————— = 0 27 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

2187x-136 ————————— • 27 = 0 • 27 27

Now, on the left hand side, the <span> 27 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   2187x-136  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    2187x-136 = 0<span> 

 </span>Add  136  to both sides of the equation :<span> 
 </span>                     2187x = 136 
Divide both sides of the equation by 2187:
                     x = 136/2187 = 0.062 

One solution was found :                  <span> x = 136/2187 = 0.062</span>
8 0
3 years ago
Read 2 more answers
How are adjacent angles and vertical angles alike? Please help me.
vekshin1

Vertical angles are angles that are the same (for example >< since they're the same). Adjacent angles are angles that share a side with another angles, such as \|, since they are sharing on angle that connects the two.

Now that you know what each is, you can tell that they are similar because <em>they both have something in common</em>. When dealing with vertical angles, you can tell that they are the same thing, meaning they each share the whole shape of the angle. Adjacent angles share one whole line together; therefore, showing you that both have a line in common.

           adjacent angle              A        <em>they both share angle A.</em>

                                                   |

                                                   |

                                        B____|________C

vertical angle      <em>they both share the same shape; they have four lines, and they also share angle C</em>

a           b

\           /

 \        /

   \     /

C  \/

     /\

   /    \

 /        \

/D          \E

hope this helps :)

6 0
3 years ago
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