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professor190 [17]
3 years ago
7

Julie has three boxes of pens. The diagram shows expressions for the number of pens in each box. Look at these equations.

Mathematics
2 answers:
vovangra [49]3 years ago
4 0

Answer:

a = c + 16

Step-by-step explanation:

a = b + 12

b = c + 4

Solve for b in the first equation.

a = b + 12

a - 12 = b

Put b as a - 12 in the second equation and solve for a.

a - 12 = c + 4

a = c + 4 + 12

a = c + 16

stepladder [879]3 years ago
3 0

Answer:

<h2>a=c+16</h2>

here,

a=b+12

b=a-12----> equation (i)

b= c+4

putting the value of b from the equation (I)

a-12=c+4

a=c+4+12

a=c+16

hope this helps...

Good luck on your assignment...

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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

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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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3 years ago
Read 2 more answers
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