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Norma-Jean [14]
3 years ago
13

Gary is making a casserole but only needs 1/3 of the original serving size. If the number of servings Gary needs is 4, how many

servings did the original recipe make?
What equation will model the situation?



How many servings did the original recipe make?
Mathematics
2 answers:
Deffense [45]3 years ago
7 0

Answer:

What equation will model the situation?

✔ x/3 = 4

How many servings did the original recipe make?

✔ 12

Step-by-step explanation:

Hope this helps!

Vitek1552 [10]3 years ago
7 0

Answer:

✔ x/3 = 4

✔ 12

Step-by-step explanation:

edge 2021

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Write the equation of the line that passes through the points (-2,0) and (1,2).
Ierofanga [76]

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

5 0
3 years ago
Simplify: cos2x-cos4 all over sin2x + sin 4x
GrogVix [38]

Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

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

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

6 0
3 years ago
I’m taking a college algebra test tomorrow and I am super scared. Any advice? Thank you!!
Naily [24]

Answer:

pray to god about it and go sit somewhere quiet and think

Step-by-step explanation:

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3 years ago
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What is the area of a regular hexagon if a side is 30
sergij07 [2.7K]
<h3>Answer:</h3>

1350\sqrt{3} square units (approximately 2338.26859)

<h3>Step-by-step explanation:</h3>

The formula for finding the area of a regular hexagon when you know its side length is A=\frac{3\sqrt{3}*s^2}{2}, where A is the area and s is the side length.

  1. Substitute in the side length. A=\frac{3\sqrt{3}*30^2}{2}
  2. Simplify the exponent. A=\frac{3\sqrt{3}*900}{2}
  3. Multiply. A=\frac{2700\sqrt{3}}{2}
  4. Divide. A=1350\sqrt{3}

1350\sqrt{3} is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.

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Answer:

10

Step-by-step explanation:

So the unit rate in this situation is how many times Jazmine spun around in 1 minute, since unit is always 1. To find the answer you divide 20 by 2 which is equal to 10. She spun around 10 times in 1 minute, and 20 times in 2 minutes.

8 0
2 years ago
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