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3 years ago

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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Segment FG begins at point F(-2, 4) and ends at point G (-2, -3). Segment FG is translated by (x, y) → (x – 3, y + 2) and then r

Mariana [72]

Answer:

The length of the segment F'G' is 7.

Step-by-step explanation:

From Linear Algebra we define reflection across the y-axis as follows:

$(x',y')=(-x, y)$ , $\forall\, x, y\in \mathbb{R}$ (Eq. 1)

In addition, we get this translation formula from the statement of the problem:

$(x',y') =(x-3,y+2)$ , $\forall \,x,y\in \mathbb{R}$ (Eq. 2)

Where:

$(x, y)$ - Original point, dimensionless.

$(x', y')$ - Transformed point, dimensionless.

If we know that $F(x,y) = (-2, 4)$ and $G(x,y) = (-2,-3)$ , then we proceed to make all needed operations:

Translation

$F''(x,y) = (-2-3,4+2)$

$F''(x,y) = (-5,6)$

$G''(x,y) = (-2-3,-3+2)$

$G''(x,y) = (-5,-1)$

Reflection

$F'(x,y) = (5, 6)$

$G'(x,y) = (5,-1)$

Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:

$F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}$

$F'G' = 7$

The length of the segment F'G' is 7.

8 0

3 years ago

HELP ASAP!<br> Find the value of x. -1x + 72 = -3x + 84

hoa [83]

Answer:

x=6

Step-by-step explanation:

First, add x to each side.

72=-2x+84

Subtract 84 from each side

-12=-2x

Dive each side by -2

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