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makkiz [27]
3 years ago
9

A store sells two different fruit baskets with mangos and kiwis. The first basket has 2 mangos and 3 kiwis for $9.00. The second

basket has 5 mangos and 2 kiwis for $14.25. Find the cost of each type of fruit.
Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:

kiwis = $1.5

mangoes = $2.25

Step-by-step explanation:

Two equations can be derived from the question

2m + 3k = 9 equation 1

5m + 2k = 14.25 equation 2

m = mangoes

k = kiwis

multiply equation 1 by 5 and 2 by 2

10m + 15k = 45 equation 3

10m +4k = 28.5 equation 4

Subtract equation 4 from 3

11k = 16.5

k = 1.5

Substitute for k in equation 1

2m + 3(1.5) = 9

2m + 4.5 = 9

2m = 4.5

m = 2.25

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Answer:

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

58^{\circ}20'=58^{\circ}\frac{20}{60}^{\circ}=58\frac{1}{3}^{\circ}=\frac{175}{3}^{\circ}

In a right angled triangle

\cos \theta=\frac{adjacent}{hypotenuse}

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hypotenuse=\frac{40}{0.525}

hypotenuse=76.190

Therefore the length of the wire is 76.19 m.

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Answer:

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