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3 years ago

5x - 6 = 3x - 8 what is the answer pls

Mathematics

2 answers:

marishachu [46]3 years ago

7 0

The answer is x = - 1 i am positive

dlinn [17]3 years ago

3 0

Your answer is X = - 1

Hope I helped
Good Luck

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3 years ago

Solve for x A -8 B 9 C -9 D 12

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Answer:

the answer is 12

Step-by-step explanation:

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3 years ago

How could you use making a ten when adding?

Karolina [17]

5 + 5 = 10

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3 years ago

How do u solve 1.5 divided by 0.06

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3 years ago

a cookie baker has an automatic mixer that turns out a sheet of dough in the shape of a square 12 inches wide. His cookie cutter

iragen [17]

Answer:

All the sizes that satisfy $kd^2 =144$

Step-by-step explanation:

To answer this question we first need to find the minimum wasted area of the dough.

Let us call the diameter of the cookie $d$ , and $a$ the length of the dough sheet, then the $n$ number of cookies that fit into length $a$ will be

$n = \dfrac{a}{d}$

and therefore, the number that will fit into the whole square sheet will be

$n^2 = \dfrac{a^2}{d^2}$

Since the area of each cookie is

$A = \pi \frac{d^2}{4}$

the area of n^2 cookies will be

$A_n = n^2\pi \frac{d^2}{4}$ ,

which is the area of all the cookies cut out from the dough sheet; therefore, after the cutting, the area left will be

(1). $\text{area left}= a^2-n^2\pi \frac{d^2}{4}$

putting in the value of $n^2$ we get

$a^2- \dfrac{a^2}{d^2}\pi \frac{d^2}{4}$

which simplifies to

area left = a^2( 1 - (π/4))

putting in a = 12 we get

area left = 30.902 in^2.

Going back to equation (1) we find that

a^2-n^2(πd^2/4) =30.902

12^2- n^2(πd^2/4) =30.902

and if we call k = n^2, we get

12^2- k(πd^2/4) =30.902

113.098 = k(πd^2/4)

simplifiying this gives

kd^2 = 144.

As a reminder, k here is the number of cookies cut from the dough sheet.

Hence, our cookie diameter must satisfy kd^2 = 144, meaning larger the diameter of the cookies less of the should you cut out to satisfy the above equality.

8 0

4 years ago