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Assoli18 [71]
3 years ago
12

Nancy's car travels 300 miles on 12 gallons of gas. How many gallons of gas will she need in order to drive 650 miles?

Mathematics
1 answer:
Stells [14]3 years ago
4 0
The answer should be 24 gallons and a half
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The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the
Mumz [18]
So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well   \bf v=rw\qquad 
\begin{cases}
v=\textit{linear velocity}\\
r=radius\\
w=\textit{angular velocity}\\
----------\\
r=18in\\
w=1302\frac{\pi }{min}
\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}
\\\\\\
v=\cfrac{23436\pi\ in}{min}

now, how much is that in miles/hrs?  well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus   \bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}

notice, after all the units cancellations, you're only left with mi/hrs
4 0
3 years ago
The manager suggests that Darryl should purchase the deli’s bread from Store D because they sell the most loaves of bread for th
stealth61 [152]

Answer:

yes

Step-by-step explanation:

because it sells the best price

5 0
4 years ago
Read 2 more answers
HELP!! ASAP!!! Please make sure your confident with answer :) already on 2nd attempt! Please help! Will give brainliest! :)
alexdok [17]
Y=2 its C
^^^^^^^^^^^^^^^^
6 0
3 years ago
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A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m wh
Eddi Din [679]
LW = 45
L + 2W = 19
L = 19-2W

substituting for L :-
W(19-2W) = 45

-2W^2 + 19W = 45

2W^2 - 19W + 45 = 0 
W = 5 or 4.5

If W = 5, L = 9
If W = 4.5, L = 10

So there are 2 possible answers.


3 0
3 years ago
Which is the best buy?<br> Pack of 8 apples for £1.65<br> Pack of 6 apples for £1.25
Sliva [168]

Answer:

Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.

7 0
2 years ago
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