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kati45 [8]
3 years ago
5

Simplify the expression. 5 (z+4)+5 (2-z)

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0
First, we're going to distribute both fives out, which gives us this:
5z + 20 + 10 - 5z
Then, we can combine the like terms. However, since they are opposites, they cancel out, which gives us:
20 + 10
This equals 30.
Hope this helps!
~Chrys
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Three students attempt to define what it means for lines lll and mmm to be perpendicular.
Vanyuwa [196]

Please find diagram attached

Answer and explanation:

Perpendicular lines are lines that meet at 90 degrees/ right angle.

The question seems to be incomplete but I will explain what perpendicular lines are in the context of lines lll and mmm, with some assumptions about the lines.

Assume that line III is 30mm long and line mmm is 25mm long, we say that line III is perpendicular to line mmm if line III meets line mmm at 90 degrees as we see in the diagram attached.

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The table shows the relationship y = kx.
sammy [17]

Answer: it’s 1/5

Step-by-step explanation:

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3 years ago
Given: If you live in Orlando, then you live in Florida.
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Answer:

The law of detachment and syllogism is valid here

Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

In the above example, given: If you live in Orlando, then you live in Florida

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5 0
3 years ago
Sarita showed the steps to solving the equation.
shtirl [24]

The option that explains Sarita's mistake is Sarita’s solution is correct. She made an error in her verification.

<h3>What was Sarita's mistake?</h3>

The given equation is: 5(x - 3) + 7(x + 4) = 73

In order to determine the value of x, take the following steps:

1. Apply the Distributive property:

5x - 15 + 7x + 28 = 73

2. Add similar terms together:

12x  + 13 = 73

3. Combine similar terms:

12x = 73 - 13

4. Add similar terms

12x = 60

5. Divide both sides of the equation by 12

x = 60 / 12

x = 5

In order to verify the answer, substitute for x in the given equation :

5(5 - 3) + 7(5 + 4) = 73

5(2) + 7(9) = 73

10 + 63 = 73

73 = 73

Please find attached the complete question. To learn more about equations, please check: brainly.com/question/14446120

#SPJ1

6 0
1 year ago
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