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kakasveta [241]
3 years ago
15

For every quarter he spends, Reggie receives 50 food pebbles to feed the fish. Reggie has thrown 350 food pebbles into the fish

pond. Wright and solve an equation to find the number of quarters Reggie spent at the pond
Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

7 quarters are spent for throwing 350 food pebbles in pond.

Step-by-step explanation:

Given:

Reggie receives 50 food pebbles for every quarter he spends.

Number of food pebbles he has = 350

Let the number of quarters spent for 350 pebbles be 'x'.

Now, using proportion and cross multiplication method, we can find 'x'.

<u><em>1 quarter is equivalent to 50 pebbles thrown in pond.</em></u>

<u><em>So, 'x' quarters is equivalent to 350 pebbles thrown in pond.</em></u>

\frac{1}{50}=\frac{x}{350}\\\\Cross\ multiplying\\\\50x=350\\\\x=\frac{350}{50}\\\\x=7

So, 7 quarters are spent for throwing 350 food pebbles in pond.

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Answer:

A. v = 19√3.

B. u = 38.

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 60°

Adjacent = 19

Opposite = v

Hypothenus = u

A. Determination of the value of 'v'

The value of v can be obtained by using Tan ratio as shown below:

Angle θ = 60°

Adjacent = 19

Opposite = v

Tan θ = Opposite /Adjacent

Tan 60 = v/19

Cross multiply

v = 19 × Tan 60

Tan 60 = √3

v = 19 × √3

v = 19√3

Therefore, the value of v is 19√3

B. Determination of the value of 'u'

The value of u can be obtained by using cosine ratio as shown below:

Angle θ = 60°

Adjacent = 19

Hypothenus = u

Cos θ = Adjacent /Hypothenus

Cos 60 = 19/u

Cos 60 = 1/2

1/2 = 19/u

Cross multiply

u = 2 × 19

u = 38

Therefore, the value of u is 38.

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4 years ago
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Answer:

y =  - 10

Step-by-step explanation:

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Answer:

x = -9/2

Step-by-step explanation:

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Point D(-3.5) is a vertex of triangle DEF.After a rotation of the triangle about the origin, D' is located at (3,-5).Which of th
Nimfa-mama [501]
<h3>Answer: 180 degrees</h3>

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========================================

Explanation:

The rule for 180 degree rotations is

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