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mezya [45]
2 years ago
15

Which expression is equivalent to mc014-1?

Mathematics
1 answer:
ryzh [129]2 years ago
8 0
1/5(100x - 105y + 70) = 20x -21y + 14
You might be interested in
1 5/2 as a whole number
SVEN [57.7K]

Answer:

3 1/2

Step-by-step explanation:

7 0
3 years ago
Consider the following argument. If I get a Christmas bonus, I'll buy a stereo. If I sell my motorcycle, I'll buy a stereo. ∴ If
Nuetrik [128]

Answer:

p → r valid, proof by division into cases

q → r

∴ p ∨ q → r

Step-by-step explanation:

Let

p = "if I get a Christmas bonus,"

q = "if I sell my motorcycle,"

and

r = "I'll buy a stereo."

This can be written as:

If I get a Christmas bonus, I'll buy a stereo

p → r

If I sell my motorcycle, I'll buy a stereo

q → r

∴ If I get a Christmas bonus or I sell my motorcycle, then I'll buy a stereo.

∴ p ∨ q → r

To prove this argument we partition the argument into a group of smaller statements that together cover all of the original argument and then we prove each of the smaller statements. If you see the conclusion ∴ p ∨ q -> r so if the conclusion contains a conditional argument of form "If A1  or A2 or... or An then C ”, then we prove "If A1 then C", "If A2 then C" and so on upto "If An then C" . This depicts that the conclusion  C is true no matter which if the Ai holds true. This method is called proof by division into cases. In the given example, this takes the form:

p → r

q → r

p ∨ q

∴ r

Since proof by division into cases is an inference rule thus given argument is valid. Lets make a truth table to show if this argument is valid

p   q   r   p ∨ q   p → r    q → r    p ∨ q → r

0   0   0     0        1           1             1

0   0   1      0        0          0            0

0   1    0     1         1           0            0

0   1    1      1         0          1               1

1    0   0     1         0          1             0    

1    0   1      1         1           0            1    

1    1    0     1         0          0            0    

1    1    1      1         1           1              1    

An argument is valid if all of the premises are true, then the conclusion is true. So the truth table shows that the conclusion is true i.e. 1 where all premises are true i.e. 1. So the argument is valid.

Hence

p → r valid, proof by division into cases

q → r

∴ p ∨ q → r

4 0
3 years ago
What is the value of 3^3 - (4^2 - 2^3)?
Illusion [34]
3³ - (4² - 2³)

3³ = 3x3x3 = 27

4² = 4x4 = 16

2³ = 2x2x2 = 8

3³ - (4² - 2³) = 27 - (16 - 8) = 27 - 16 + 8 = 19 (answer C)

4 0
3 years ago
Read 2 more answers
2x - 3v = - 19<br> 5x + 2v = - 19<br><br> Solve the system using elimination. The solution it (x,y)
Ira Lisetskai [31]

Answer:

x=

2

3v−19

​

x=

5

−2v−19

​

Step-by-step explanation:

3 0
2 years ago
Which statement is equivalent to the inequality 5z &lt; 30
solmaris [256]
For this question you should divide both sides of the equaltion by 5 so you ill have:
5z/5 < 30/5
z < 6 :)))
i hope this is helpful
have a nice day
6 0
3 years ago
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