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WITCHER [35]
3 years ago
15

At school barbecue 3 times as many hot dogs were served as Hamburgers. if there were 124

Mathematics
2 answers:
victus00 [196]3 years ago
8 0

Answer:

There where 44 hot dogs in all.

Step-by-step explanation:

If there are 124 Hamburgers and hot dogs that have been served and there's 3 times as many hot dogs then Hamburgers then your going to divide to find out how many.

vivado [14]3 years ago
8 0

Answer:

93 hot dogs

Step-by-step explanation:

Make a system of equations

Let x represent hamburgers and y represent hot dogs

x+y=124

y=3x

Substitute 3x in for y

x+3x=124

Combine like terms

4x=124

Divide by 4 on both sides

x=31

There were 31 hamburgers, sold, so plug 31 back in the first equation

31+y=124

Subtract 31 on both sides

y=93

So, 93 hot dogs were served

Hope this helps! :)

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In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.
kondor19780726 [428]

Answer:

  54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

  Sin = Opposite/Hypotenuse

  sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

  ∠D = arcsin(57/70)

  ∠D ≈ 54.5°

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3 years ago
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Korvikt [17]

Answer:

(8,-7)

Step-by-step explanation:

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2 years ago
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Questions Below. Would Appreciate Help!
kherson [118]

Answer:

The function that could be the function described is;

f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10

Step-by-step explanation:

The given parameters of the cosine function are;

The period of the cosine function = 3

The maximum value of the cosine function = 20

The minimum value of the cosine function = 0

The general form of the cosine function is presented as follows;

y = A·cos(ω·x - ∅) + k

Where;

\left | A \right | = The amplitude = Constant

The period, T = 2·π/ω

The phase shift, = ∅/ω

k = The vertical translation = Constant

Therefore, by comparison, we have;

T = 3 = 2·π/ω

∴ ω = 2·π/3

The range of value of the cosine of an angle are;

-1 ≤ cos(θ) ≤ 1

Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;

y = A × cos(ω·x - ∅) + k

y = 10 × 1 + 10 = 20 = The maximum value of the function

Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;

y = 10 × -1 + 10 = 0 = The minimum value of the function

Given that the function is a reflection of the parent function, we can have;

A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;

y = -10 × -1 + 10 = 20 = The maximum value of the function

Similarly, for cos(ω·x - ∅) = 1 we get;

y = -10 × 1 + 10 = 0 = The minimum value of the function

Therefore, the likely values of the function are therefore;

A = -10, k = 10

The function is therefore presented as follows;

y = -10 × cos(2·π/3·x) + 10

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Answer:

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3 years ago
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lawyer [7]
The answer would be 5.79
Hope I helped :)
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