Can somebody please help me with this question??10=10(k-9)

Mathematics

2 answers:

dmitriy555 [2]3 years ago

5 0

answer:

k = 10

step-by-step explanation:

objective: get k by itself on one side of the equal sign

1. distribute the 10 to (k - 9) by multiplying these values by the outside value

10 × k = 10k

10 × -9 = -90

new equation: 10 = 10k - 90

2. get rid of 90 by doing the opposite (so we add 90) and what we do on one side we do to the other

(10k - 90) + 90 = 10k (90 cancels out)

10 + 90 = 100

new equation: 100 = 10k

3. get k by itself by dividing by 10 - since 10 is being multiplied by we need to get rid of it by doing its opposite (division) and doing this on both sides

10k ÷ 10 = k (the 10 cancels out)

100 ÷ 10 = 10

new equation: 10 = k

is k by itself? yes so k is equal to 10

SashulF [63]3 years ago

4 0

K = 10

I think. I’m not positive sure though. Hope this helped!

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An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number

vovikov84 [41]

Answer:

The number of key rings sold on a particular day when the total profit is $5,000 is 4,000 rings.

Step-by-step explanation:

The question is incomplete.

An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by

$P=n^2-2n-3$

where n is the number of key rings in thousands.

Find the number of key rings sold on a particular day when the total profit is $5,000.

We have the profit defined by a quadratic function.

We have to calculate n, for which the profit is $5,000.

$P=n^2-2n-3=5\\\\n^2-2n-8=0$

We have to calculate the roots of the polynomial we use the quadratic equation:

$n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\n= \frac{-2\pm\sqrt{4-4*1*(-8)}}{2}= \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{36}}{2} =\frac{-2\pm6}{2} \\\\n_1=(-2-6)/2=-8/2=-4\\\\n_2=(-2+6)/2=4/2=2$