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nydimaria [60]
3 years ago
11

Missy bought 5 cookies for $3. If she can also buy 10 cookies for $6, or 15 cookies for $9, does this show a proportional relati

onship? If so, write an equation to represent this relationship.
Mathematics
1 answer:
Anna [14]3 years ago
3 0
This shows a proportional relationship because as the number of cookies goes up by five the price of the cookies rises of three for five cookies and this rate stays consistent making it a proportional relationship.
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A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes
Rufina [12.5K]

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value =22+7i.

Step-by-step explanation:

The given expression is

(4+5i)(3-2i)

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i

Which is not correct. The correct steps are shown below.

Using distributive property, we get

4(3-2i)+5i(3-2i)

4(3)+4(-2i)+5i(3)+5i(-2i)

12-8i+15i-10i^2

12+7i-10(-1)       [\because i^2=-1]

12+7i+10

22+7i

Therefore, the correct value of (4+5i)(3-2i) is 22+7i.

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Step-by-step explanation:

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