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IRINA_888 [86]
3 years ago
8

The price of blackberries at a farm is $1.56 per pound. Which equation can be used to determine c, the total price of n pounds o

f blackberries?
c = 1.56n
c = 1.56 over n
c = 1.56 + n
c = 1.56 − n
Mathematics
2 answers:
aleksklad [387]3 years ago
7 0
C = 1.56n Is what the answer is.
Tresset [83]3 years ago
5 0
<h2>Answer:</h2>

The equation which can be used to determine c, the total price of n pounds of blackberries is:

                             c = 1.56n

<h2>Step-by-step explanation:</h2>

The cost of 1 pound of blackberries is: $ 1.56

( since, it was given that: The price of blackberries at a farm is $1.56 per pound )

Also we know that the cost of n pound of blackberries is the product of number of pounds of blackberries to cost of one pound of blackberries.

Hence, the cost of n pounds of blackberries is:

                      c=1.56n

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iVinArrow [24]

Answer:

a. 25.98i - 15j mi/h

b. 1.71i + 4.7j mi/h

c. 27.69i -10.3j mi/h

Step-by-step explanation:

a. Identify the ship's vector

Since the ship moves through water at 30 miles per hour at an angle of 30° south of east, which is in the fourth quadrant. So, the x-component of the ship's velocity is v₁ = 30cos30° = 25.98 mi/h and the y-component of the ship's velocity is v₂ = -30sin30° = -15 mi/h

Thus the ship's velocity vector as ship moves through the water v = v₁i + v₂j = 25.98i + (-15)j = 25.98i - 15j mi/h

b. Identify the water current's vector

Also, since the water is moving at 5 miles per hour at an angle of 20° south of east, this implies that it is moving at an angle 90° - 20° = 70° east of north, which is in the first quadrant. So, the x-component of the water's velocity is v₃ = 5cos70° = 1.71 mi/h and the y-component of the water's velocity is v₄ = 5sin70° = 4.7 mi/h

Thus the ship's velocity vector v' = v₃i + v₄j = 1.71i + 4.7j mi/h

c. Identify the vector representing the ship's actual motion.

The velocity vector representing the ship's actual motion is V = velocity vector of ship as ship moves through water + velocity vector of water current.

V = v + v'

= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h

= (25.98i + 1.71i + 4.7j - 15j )mi/h

= 27.68i -10.3j mi/h

7 0
3 years ago
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Answer:

D

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