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alexgriva [62]
3 years ago
13

A customer placed an order with a bakery for cupcakes. the Baker has completed 37.5% of the order after being 81 cupcakes how ma

ny cupcakes with a customer order
Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

216 cupcakes

Step-by-step explanation:

81 = 0.375 × order

81/0.375 = order = 216 . . . . . divide by the coefficient of the variable

_____

<em>About percentages</em>

% means /100

37.5% = 37.5/100 = 375/1000 = 0.375

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Find the missing side<br> Please help thank you!!
Savatey [412]

Answer:

c= \sqrt{41}

Step-by-step explanation:

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8 0
3 years ago
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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.
barxatty [35]

Answer:

x=9,-1  and x^2+(-8)x=9

Explanation:

we have been given with the quadratic equation x^2-8x-9

we compare the given quadratic equation with general quadratic equation

general quadratic is ax^2+bx+c=0

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant D=b^{2}-4ac

D=(-8)^2-4(1)(-9)=100

Now, to find the value of x

Formula is x=\frac{-b\pm\sqrt{D}}{2a}

Now, substituting the values we will get

x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1

And rewritting the given equation by  shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

x^2+bx=c

4 0
3 years ago
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If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
Readme [11.4K]

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

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What are the solution(s) to the quadratic equation 9x2 = 4?
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Answer:

Option B.

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The given quadratic equation is

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We need to find the solution of given quadratic equation.

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x=\pm\sqrt{\frac{4}{9}}

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The solution of given equation are x=\frac{2}{3} and x=-\frac{2}{3}.

Therefore, the correct option is B.

6 0
3 years ago
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