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vesna_86 [32]
3 years ago
13

Aanya lives in Ohio. She immigrated with her family from India to North America. Aanya wants to visit a cousin in Toronto by dri

ving. The gate person at the Peace Bridge in Buffalo, NY tells her that Toronto is 500 km north on Highways 400/401. How far is that in miles? After Aanya arrives, she and her cousin compare efficiencies of their cars. Aanya’s car averages 30 mi/gallon, but she needs to convert that to km/liter. Using the conversions 1 km = 0.62 mi, 1 mi = 1.61 km, and 1 qt = 0.946 liters, determine the distance from the Peace Bridge to Toronto in miles and the efficiency of Aanya’s car in km/liter (hint on the latter—first get km/gallon, then km/liter). Both parts of an answer must be correct.
(a) 300 mi, 48.3 km/liter (b) 310 mi, 12.76km/liter (c) 320 miles, 14 km/liter

(d) 330 miles, 7.5 km/liter (e) 620 miles, 48.3 km/liter (f) none of the above
Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

(b) 310 mi, 12.76km/liter

Step-by-step explanation:

We are told that Toronto is 500 km north on Highways. Since 1 km = 0.62 mi, then Toronto is: 500 × 0.62 = 310 miles

Aanya’s car averages 30 mi/gallon.

We are told that 1 mi = 1.61 km

Thus, her average is now;

30 × 1.61 km/gallon = 48.3 km/gallon

We are told that 1 qt = 0.946 liters

But also, 0.25 gallon = 1 qt

Thus;

0.25 gallon = 0.946 litres

Thus, 1 gallon = 0.946/0.25 litres = 3.784 litres

Thus, 48.3 km/gallon to km/litres = 48.3/3.784 = 12.76 km/litres

Answer is 310 miles and 12.76 km/litres

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1.20 x 10⁶<br><br>6.0 x 10⁵​
omeli [17]

Answer:

1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

8 0
3 years ago
Please answer this question for me
Paul [167]

I GOT THIS ANSWER

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8 0
3 years ago
A case of soda has 24 cans in it. There are 12 cases of soda. 1) What is the total number of cans of soda there are? 2) The soda
ElenaW [278]

Answer:

1) 288 cans

2) about 41 cans per team

Step-by-step explanation:

For number one you would multiply the numbers

24x12=288

there are 288 cans in total

2) divide 288 by 7 to distribute the cans evenly

each team gets about 41 cans

6 0
3 years ago
WILL GIVE BRAINLIEST TO BEST RESPONSE!
Monica [59]

You are given the X value, replace x with 2 in the first equation to solve for y:

y=2x +3

y = 2(2) +3

y = 4+3

y = 7

Now replace y with 7 and x iwth 2 in the second equation and solve for k:

y = -x +k

7 = -2 +k

Add 2 to both sides:

9 = k

so k = 9

The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.

K = 9

5 0
3 years ago
rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the
zheka24 [161]

Answer:

  • 7000ft

Step-by-step explanation:

let's break down 2,000,000 into its multiples,

Multiples of 2,000,000= 2⁷ × 5⁶

Using above values to find different combinations of length(l) and breadth (b) of rectangle and corresponding parameter of rectangle

  • l=5,   b=400,000  ,parameter= 2(5) + 2(400,000)= 800,010, total length of fence required= parameter+ side with shortest length= 800,015
  • l=2   b=1,000,000 parameter= 2,000,004, shortest fence required= 2,000,008
  • l=4,  b= 500,000 parameter= 1,000,008, shortest fence required= 1,000,012
  • From above, we can see a trend that the parameter of rectangle decreases if length and breadth are increased provided that area is constant. So, a rectangle will have shortest parameter if all of its sides are equal.
  • length of side of rectangle with shortest possible parameter= 2^3 ×5^3= 1000 and breadth of side of rectangle with shortest possible parameter= 2^4× 5^3=2000
  • Shortest possible length of fence= 2(2000)+2(1000)+1000=7000ft

4 0
3 years ago
Read 2 more answers
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