If 3 3/4 pounds of candy cost $20.25, how much is 1 pound of candy

1 answer:

5 0

3 and 3/4lb=20.25
what you should do is divide both sides by 3 and 3/4 but that isnt nice

convert 3 and 3/4 to improper
3 and 3/4=3+3/4=12/4+3/4=15/4
15/4lb=20.25
times 4/15 to both sides (15/4 times 4/15=60/60=1)
1lb=81/15
1lb=5.4

answer is
1lb=$5.40

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Answers:

1) $(3x+2)+(4-5x)=-2x+6$

$(3+2i)+(4-5i)=7-3i$

2) $(1-3x)(2+x)=-3x^{2}-5x+2$

$(1-3i)+(2+i)=5-5i$

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

<u>Addition: </u>

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example, the addition of these two binomials is:

$(3x+2)+(4-5x)=3x-5x+2+4=-2x+6$

Similarly, the addition of two complex numbers is:

$(3+2i)+(4-5i)=3+4+2i-5i=7-3i$ Here the complex part is the number with the $i$

<u>Multiplication: </u>

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .