Since we know the x and y, you would divide 480 by 15 and 32 miles per hour. Then you would multiply 7.2 by 32 and get 230.4. Your trying to find with wind and against wind so just times that by two and get 460.8. I think
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = ![\frac{b^2+c^2-a^2}{2bc}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%5E2%2Bc%5E2-a%5E2%7D%7B2bc%7D)
= ![\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}](https://tex.z-dn.net/?f=%5Cfrac%7B5.1%5E2%2B5.7%5E2-7.3%5E2%7D%7B2%285.1%29%285.7%29%7D)
= ![\frac{26.01+32.49-53.29}{58.14}](https://tex.z-dn.net/?f=%5Cfrac%7B26.01%2B32.49-53.29%7D%7B58.14%7D)
=
, then
∠ A =
(
) ≈ 84.9° ( to 1 dec. place )
Answer:
x = 3
x = (-1)/2
x = 13/4
Step-by-step explanation:
Solve for x:
(2 x)/3 + 15 = 17
Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:
(2 x)/3 + 45/3 = 17
(2 x)/3 + 45/3 = (2 x + 45)/3:
1/3 (2 x + 45) = 17
Multiply both sides of (2 x + 45)/3 = 17 by 3:
(3 (2 x + 45))/3 = 3×17
(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:
2 x + 45 = 3×17
3×17 = 51:
2 x + 45 = 51
Subtract 45 from both sides:
2 x + (45 - 45) = 51 - 45
45 - 45 = 0:
2 x = 51 - 45
51 - 45 = 6:
2 x = 6
Divide both sides of 2 x = 6 by 2:
(2 x)/2 = 6/2
2/2 = 1:
x = 6/2
The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:
Answer: x = 3
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Solve for x:
3 x - x + 8 = 7
Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:
(3 x - x) + 8 = 7
3 x - x = 2 x:
2 x + 8 = 7
Subtract 8 from both sides:
2 x + (8 - 8) = 7 - 8
8 - 8 = 0:
2 x = 7 - 8
7 - 8 = -1:
2 x = -1
Divide both sides of 2 x = -1 by 2:
(2 x)/2 = (-1)/2
2/2 = 1:
Answer: x = (-1)/2
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Solve for x:
4 (2 x - 6) = 2
Divide both sides of 4 (2 x - 6) = 2 by 4:
(4 (2 x - 6))/4 = 2/4
4/4 = 1:
2 x - 6 = 2/4
The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:
2 x - 6 = 1/2
Add 6 to both sides:
2 x + (6 - 6) = 1/2 + 6
6 - 6 = 0:
2 x = 1/2 + 6
Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:
2 x = 1/2 + (2×6)/2
2×6 = 12:
2 x = 1/2 + 12/2
1/2 + 12/2 = (1 + 12)/2:
2 x = (1 + 12)/2
1 + 12 = 13:
2 x = 13/2
Divide both sides by 2:
x = (13/2)/2
2×2 = 4:
Answer: x = 13/4
The algebraic expression 1/8y verbal expression is: one is
divided by the product of 8 and a number.
To decipher the mathematical information
in a problem, a verbal expression (or verbal model) uses
words. From a verbal model,
an equation can often be
written.