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Alex Ar [27]
3 years ago
15

what the equation is to this word problem. Famous Chef Fanzo puts 2 ostrich eggs and 14 duck eggs into his famous scramble. One

day he runs out of duck eggs and uses 5 ostrich eggs and it turns out exactly the same. How many duck eggs are equivalent to 1 ostrich egg?
Mathematics
1 answer:
Svetach [21]3 years ago
6 0
We are given with the combination ratio of ostrich eggs and duck eggs to produce a scramble and equivalently another ratio to make one. In this case, the algebraic expression would be:

2 + 14 x = 5 
14x = 3
x = 3/14

The ratio thus of duck egg to ostrich egg is 3 duck eggs/14 ostrich eggs
0.21 duck eggs per ostrich egg
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KatRina [158]

Answer: 2,511 km

Step-by-step explanation:

5828.6*4.75 = 2,510.85 rounded to 2,511

5 0
2 years ago
75 is what percent of 1000?
sineoko [7]
75 =   \frac{x}{100} \times 1000\\75 =x \times 10\\x =7.5 so your answer is 7.5%
3 0
3 years ago
Read 2 more answers
Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
3 years ago
14 bands volunteered but 7 played. How many lineups?
ankoles [38]

Answer:

3432

Step-by-step explanation:

Total bands = 14

Bands played = 7

The possible lineups can be calculated using Combination.

So, the possible lineups are 14C7

=> \frac{14!}{7!(14-7)!}

=> 3432

8 0
3 years ago
16x^2-16x=5 solve the equation by completing the square
Ivanshal [37]

This is your answer: x= -1/4 or x=5/4. Plze mark me brainiest:)

7 0
3 years ago
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