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Tcecarenko [31]
3 years ago
5

A food factory produces trail mix containing raisins and cashews at a cost of $9 per pound. Every 3 pound container of trail mix

contains r pounds of raisins and c pounds of cashews. The factory purchases raisins at $4 per pound and cashews at $8 per pound. What equations represents this information?
Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Answer:

4r+8c = 27

Step-by-step explanation:

consider that 3 lbs will cost $27 at $9/lb

so, adding up the value of the raisins and cashews in a 3lb bag.

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List six rational numbers between - 2and 2​
Svetlanka [38]

Answer:

0 and 1

Step-by-step explanation:

5 0
2 years ago
Please answer my question
Brrunno [24]

ANSWER:

It is letter B. because plus the 7 and 2= 9 and we cant see a whole number so it dosent have 1 so I am very sure about my answer

3 0
3 years ago
The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as se
spayn [35]

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

brainly.com/question/10375496

4 0
2 years ago
Write an equation for the nth term of the arithmetic sequence. Then find a50.
julia-pushkina [17]

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

<h3>A(n) =  \frac{1}{3}  + (n - 1) \frac{1}{6}  \\  =  \frac{1}{ 3}  -  \frac{1}{6}   +  \frac{1}{6} n</h3>

So the nth term of the sequence is

<h3>A(n) =  \frac{1}{6}  +  \frac{1}{6}n</h3>

For a50 since we are finding the 50th term

n = 50

So we have

<h3>A(50) =  \frac{1}{6}  +  \frac{1}{6} (50) \\  =  \frac{1}{6}  +  \frac{25}{3}</h3>

We have the final answer as

<h3>A(50) =  \frac{17}{2}</h3>

Hope this helps you

4 0
3 years ago
In circle F, arc AD = 80 and arc BC = 120.
Tom [10]

The answer is B, 100

8 0
3 years ago
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