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Diano4ka-milaya [45]
2 years ago
8

If Marissa bakes 30 cookies every 15 minutes, how many cookies can Marissa make in 42 minutes?​

Mathematics
2 answers:
GalinKa [24]2 years ago
8 0

Answer: 84 cookies

Step-by-step explanation:

30 cookies = 15 minutes

? cookies = 1 minute

30 ÷ 15 = 2

2 cookies = 1 minute

? cookies = 42 minutes

2 x 42 = 84

84 cookies = 42 minutes

--> if this is right can u plz mark me brainliest.

marissa [1.9K]2 years ago
7 0

Answer:

84 cookies

Step-by-step explanation:

First, find the amount she bakes per minute. It is given that Marissa bakes 30 cookies every 15 minutes, or:

30 cookies/15 minutes = 2 cookies/minute.

Marissa bakes 2 cookies per minute. Multiply 2 with 42 minutes to find the total cookies baked in 42 minutes:

42 x 2 = 84

84 cookies is your answer.

~

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The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12
Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

P(x)=-12x^2+120x

To find:

The current that will produce the maximum power.

Solution:

We have,

P(x)=-12x^2+120x

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

In the given function, a=-12 and b=120. So,

-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}

-\dfrac{b}{2a}=-\dfrac{120}{-24}

-\dfrac{b}{2a}=5

Putting x=5 in the given function, we get

P(5)=-12(5)^2+120(5)

P(5)=-12(25)+600

P(5)=-300+600

P(5)=300

Therefore, 5 watt current will produce the maximum power of 300 amperes.

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3 years ago
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tatyana61 [14]
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1 year ago
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Find the area of the shaded region.
kolbaska11 [484]

Answer:

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Step-by-step explanation:

<u>Given:</u>

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

<em>And,</em>

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

<u>To Find</u>:

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<u>Solution:</u>

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

\boxed{\tt \longrightarrow Area  = (Parallelogram  - Rectangle)}

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

\tt\longrightarrow \: Area =B×h-l×b

Put their values accordingly:

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<u>Simplify it.</u>

<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>

\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}

\tt\longrightarrow \: Area = 39 \:  {in}^{2}

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

\rule{225pt}{2pt}

I hope this helps!

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