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jarptica [38.1K]
2 years ago
10

Solve 6 1/2 + 7 3/8 - 6 1/2

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
3 0

Answer:

Step-by-step explanation:

6 1/2 - 6 1/2 + 7 3/8 =

0 + 7 3/8 = 7 3/8

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3. At noon Lan is in his blue mini-van 300 km north of Makenna in her Bugatti. Lan heads south
LiRa [457]

Answer:

The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h

Step-by-step explanation:

At noon the location of Lan = 300 km north of Makenna

Lan's direction = South

Lan's speed = 60 km/h

Makenna's direction and speed = West at 75 km/h

The distance  Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km

The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km

The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km

Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.

By Pythagoras' theorem, we have;

s² = x² + y²

The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61

ds²/dt = dx²/dt + dy²/dt

2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt

2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900

ds/dt = 900/(2×30·√61) ≈ 1.92

The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h

5 0
2 years ago
Write the equation in slope intercept form <br> 4x +2y=18
bezimeni [28]
I think this would be (y = -2x + 9). Let me know if it is right!
6 0
2 years ago
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Explain plssssssssssssssss
irina [24]
So the problem is asking you to combine equations, in this case the Y factor will cancel out so you will be left with the X factor and the total after you add both of the totals together,
6x-4y=16
5x+4y=6
6x-5x=x
16+6=22
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7 0
2 years ago
-4k^2-8k-3 = -3-5k^2
mel-nik [20]
-4k^2-8k-3 = -3-5k^2 \\ \\ -4k^2 - 8k = -5k^2 \\ \\ 4k^2 + 8k - 5k^2 = 0 \\ \\ -k^2 + 8k = 0 \\ \\ 8k - k^2 = 0 \\ \\ k(8 - k) = 0 \\ \\ k = 0,8 \\ \\

The final result is: k = 0, 8.
8 0
3 years ago
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Boy had $266 dollars, he got 6 books and has 18 dollars left. how much did he pay for each book.
Schach [20]
To answer this first we will subtract d amount of dollars Boy had by d amount of dollars he had left in d end. den we will divide d amount of dollars he used by d amount of books he bought. den d answer will be d amount of money each book cost. Lets do it:-

$266  - $18 = 248
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So, 1 book costs about 41.50.

Hope I helped ya!! xD 
6 0
2 years ago
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