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Lana71 [14]
4 years ago
13

Explain how you could mentally find 8 x 45 by using the distributive property

Mathematics
1 answer:
dangina [55]4 years ago
6 0
First, break up 45 into 40 and 5 then multipy 8(40) which equals 320 and multipy 8(5) which equals 40. Thrn add 320+40 to get the product 360.
Hope this helped

8x45
8(40)+8(5)
320+40
360
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What goes outside during division with fractions? The numerator, or the denominator?
Ymorist [56]

Answer:

Denominator

Step-by-step explanation:

Think of it this way - numerator/denominator = nana/dog

Nana goes inside to the bathroom, but the dog goes outside to do its thing

If it was the other way around, it wouldn't be very pleasant.

LOL

Anyway, I hope this was helpful

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6 0
4 years ago
I need help with this question
pishuonlain [190]

Answer:

1 <—5⁰

25<—5²

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6 0
3 years ago
Can someone please find this answer I'm desprate 12 divided by 447
GREYUIT [131]

Answer:

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Step-by-step explanation:

5 0
3 years ago
A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f
NNADVOKAT [17]

Answer:

26 - \sqrt{181} cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares,  in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 <=> x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}

x = \frac{624 \pm \sqrt{104256}}{24}

x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}

x = \frac{624 \pm 8*3*\sqrt{181}}{24}

x_1 = \frac{624 + 24*\sqrt{181}}{24}

x_1 = 26 + \sqrt{181}

x_2 = \frac{624 - 24*\sqrt{181}}{24}

x_2 = 26 - \sqrt{181}

But x_1 > 33, then is not the correct answer.

5 0
3 years ago
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