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1 year ago

Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can

Mathematics

1 answer:

timurjin [86]1 year ago

4 0

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

<h3>What is the equation for this situation?</h3>

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

Learn more about equation in:

brainly.com/question/10413253

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The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.

From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.

Therefore, we would have;

$\begin{gathered} 5t-13=3t+3 \\ \text{Collect all like terms and you'll have,} \\ 5t-3t=3+13 \\ 2t=16 \\ \text{Divide both sides by 2} \\ \frac{2t}{2}=\frac{16}{2} \\ t=8 \\ \text{If t=8, then} \\ 5t-13=5(8)-13 \\ 5t-13=40-13 \\ 5t-13=27 \end{gathered}$

This means angle X and angle Y both equal 27 degrees each.

Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,

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6 months ago

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Veronika [31]

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2 years ago

Kristi invests $3,000 at a 7.25% annual simple interest rate, and her sister Kari invests $3,200 at a 6.25% annual simple intere

True [87]

Answer:

Kristi

Step-by-step explanation:

The formula for Simple Interest =

Principal × Rate × Time

For Kristi

Kristi invests $3,000 at a 7.25% annual simple interest rate,

Principal = $3000

Rate = 7.25% = 0.0725

Time = 1

Simple interest = $3000 × 0.0725 × 1

= $217.5

For Kari

Her sister Kari invests $3,200 at a 6.25% annual simple interest rate.

Principal = $3200

Rate = 6.25% = 0.0625

Time = 1

Simple interest = $3200 × 0.0625 × 1

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From the above calculation, we can see that: Kristi will earn the greater amount of interest after one year

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2 years ago

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2 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

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2 years ago

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