What's the answer to this world problem please:

Mathematics

2 answers:

Usimov [2.4K]3 years ago

7 0

Answer:

19 keyboards

Step-by-step explanation:

Let d = thumb drives; and k = computer keyboards

Total number of sales of thumb drives and keyboards is 50

50 = d + k

Rearranged:

d = 50 - k

Total revenue from the sale of $24 thumb drives and $49 keyboards is $1675

1675 = 24d + 49k

Sub in d = 50 - k

1675 = 24(50 - k) + 49k

1675 = 1200 - 24k + 49k

475 = 25k

k = 475/25

k = 19

(To check, d = 50 - 19 = 31)

Inga [223]3 years ago

3 0

The answer to this question is 10

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Which of the following is the complete factorization of 10x - 3 - 3x2? -(3x + 1)(x - 3) -(3x - 1)(x - 3) (3x - 1)(x + 3)

qaws [65]

Answer:

$=-\left(3x-1\right)\left(x-3\right)$

Step-by-step explanation:

$10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x$

$\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)$