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ikadub [295]
3 years ago
7

Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need

? Explain

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer: \frac{3}{4}\ cup of quinoa, \frac{3}{8}\ cup of flaxseed, 1\ cup of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

\frac{\frac{1}{2} }{2}=\frac{q}{3}

Solving for "q", you get:

\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}

 Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

\frac{\frac{1}{4} }{2}=\frac{f}{3}

Solving for "f", you get:

\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

\frac{\frac{2}{3} }{2}=\frac{s}{3}

Solving for "s", you get:

\frac{1}{3}=\frac{s}{3}\\\\s=1

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Which of the following expressions are factors of p(x)=60x4+24x3−45x2−18x?
Whitepunk [10]

The factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Step-by-step explanation:

We need to find factors of the expression p(x)=60x^4+24x^3-45x^2-18x

Solving the expression: p(x)=60x^4+24x^3-45x^2-18x

Taking 3x common:

p(x)=3x(20x^3+8x^2-15x-6)

Now, factor by grouping, the terms inside the bracket.

p(x)=3x((20x^3+8x^2)+(-15x-6))

p(x)=3x(4x^2(5x+2)-3(5x+2))

p(x)=3x(4x^2-3)(5x+2)

So, the factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Keywords: Finding Factors

Learn more about finding factors at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
  • brainly.com/question/2568692

#learnwithBrainly

5 0
3 years ago
How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?
Elan Coil [88]

The length, width and height of the rectangular prism is ∛10

<h3>How to determine the dimensions?</h3>

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10

Read more about volume at:

brainly.com/question/1972490

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3 0
2 years ago
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 37 fts. The ball's height h (in feet) after
tatyana61 [14]

Answer:

t=(37+root89)/32,(37-root89)/32

Step-by-step explanation:

Solve the equation:

23=3+37t-16t^2

5 0
2 years ago
In ΔLMN, \overline{LN}
Karolina [17]

Answer:

\bold{\angle NLM = 10^\circ}

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

\text{m}\angle MNO = (5x-13)^{\circ}

\text{m}\angle NLM = (x-4)^{\circ} and

\text{m}\angle LMN = (2x+19)^{\circ}

To find:

\text{m}\angle NLM=?

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14

Putting the value of x in \angle NLM.

\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}

5 0
3 years ago
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Phoenix [80]

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

5 0
2 years ago
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