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den301095 [7]
3 years ago
5

Refer to the following conditional statement: If a and b are odd integers, then a • b is an odd integer. Which shows the hypothe

sis? A. a and b are not odd integers B. a • b is not an odd integer C. a and b are odd integers D. a • b is an odd integer
Mathematics
1 answer:
sineoko [7]3 years ago
5 0
A is not part of the problem, and it's what makes the condition false.  B is the opposite of the statement being proved.  C is the condition, not the hypothesis.  However, D is the statement we are trying to prove, or the hypothesis.
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Answer:

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Mario took clothes to the cleaners three times last month. first, he brought 3 shorts and 1pair of slacks and $10.96. then, he b
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Let us say that:

x = cost of shorts

y = cost of slacks

z = cost of sports coat

 

From the given statements, we can create the following equations:

eqtn 1: 3 x + y = 10.96

eqtn 2:  7 x + 2 y + z = 30.40

eqtn 3:  4 x + z = 14.45

 

Rewrite eqtn 1 explicit to y:

y = 10.96 – 3 x                    --> eqtn 4

 

Rewrite eqtn 3 explicit to z:

z = 14.45 – 4x                     --> eqtn 5

 

Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn 2:

7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40

7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40

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x = 1.99

 

Eqtn 4:

y = 10.96 – 3 x   

y = 10.96 – 3 (1.99)

y = 4.99

 

Eqtn 5:

z = 14.45 – 4x

z = 14.45 – 4 (1.99)

z = 6.49

 

 

Therefore each shirt cost $1.99, each slacks cost $4.99, and each sports coat cost $6.49.

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