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notsponge [240]
3 years ago
14

Devin buys 12 candy bars for

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
Devin is buying 12 for $12 so for each he bought it was $1. If he’s selling them for the same price he bought them for (each) when he sells all 12 for $1, he will be left off with the same price he started off with. Devin is not making any profit. What i would do is sell them for $1.50, and then after each is sold, the total earnings would be $18.
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Which values of x and y would make the following expression represent a real number? (4+5i)(x+yi)
algol [13]

Answer:

So x=4 and y=-5 would work.

Step-by-step explanation:

When you multiply complex conjugates, you get a real result.

Example:

(a+bi)(a-bi)=a^2-b^2i^2=a^2+b^2

I replace i^2 with -1 since i^2=-1.

a^2+b^2 is a real number (there is no imaginary part, no i).

So what is the conjugate of 4+5i?

4-5i

So x=4 and y=-5 would work.

A multiple of the complex conjugate would work as well.

(a+bi)(ca-cbi)

c(a+bi)(a-bi)

c(a^2-b^2i^2)

c(a^2+b^2)

This is still a real number; there is no imaginary part,no i.

5 0
3 years ago
∠1 is a supplement of ∠2, ∠2 is a complement of ∠3, and m∠1=115∘. Find m∠2 - ∠3
Tems11 [23]

Answer:

180-115=65

<2=65

90-65=25

<3=25

65-25=40

The answer is 40

Step-by-step explanation:

7 0
3 years ago
Create a unique parabola in the pattern . Pick integers other than one or zero for a and b.
Nadya [2.5K]

Answer:

40

Step-by-step explanation:

6 0
3 years ago
??? Anyone know how to do this ???
babunello [35]

Answer:

B.  x ≤ 2.

Step-by-step explanation:

56 - 10x ≥ 20 + 8x

-18x ≥ -36

x ≤ -36/-18 = 2.      ( Note that the inequality sign flips because we are dividing by a negative value).

5 0
3 years ago
Please help asap !!!!!
Natasha2012 [34]

Answer:

<em>XY = 92 units</em>

Step-by-step explanation:

<u>Similar Shapes</u>

Two shapes are similar if all their corresponding side measures are in the same proportion.

The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.

This means that the measure of VX is twice the measure of VW,

The measure of YV is twice the measure of UV

The measure of XY is twice the measure of UW

This last proportion gives the equation:

z + 46 = 2z

Solving for z:

z = 46

Thus, XY = z+46 = 92

XY = 92 units

6 0
3 years ago
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