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sertanlavr [38]
3 years ago
8

Let n be a whole number, and consider the statements below. p: n is a multiple of two. q: n is an even number. Which of the foll

owing is equivalent to ~q → ~p? A. ~q → ~p B. q → p C. p → q D. ~p →~
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

C. p -> q

Step-by-step explanation:

Just did this on Edge2020. Hope this helps :)

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Which of these describes the equation –18x + 9y = –416?
Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form y = mx + b.

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

18x + 9y = -416

subtract 18x from both sides

18x+9y-18x = - 18x-416

simplify

9y = -18x - 416

divide both sides by 9

y=-2x-\frac{416}{9}

Now, comparing the equation y=-2x-\frac{416}{9} with a slop-intercept form of linear equation

  • The slope m = -2
  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form y = mx + b.

From the attached graph, is also clear that the graph of the equation y=-2x-\frac{416}{9} is a straight line.

Hence, option D is correct.

3 0
2 years ago
Read 2 more answers
A local pizzeria offers 11 toppings for their pizzas and you can choose any 4 of them for one fixed price. How many different ty
choli [55]
First slot, 11 options
2nd is 10 (1 less than 1st slot)
3rd is 9
4th is 8


11*10*9*8=7920 different pizzas (assuming you can't order all 1 topping)
5 0
3 years ago
A 13?-foot board is cut into two pieces. The longer piece is 7.5 feet longer than the shorter piece. What is the length of each?
chubhunter [2.5K]

Answer:

The smaller board would be 2.75 feet and the longer one would be 10.25 feet.

Step-by-step explanation:

In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.

x + (x + 7.5) = 13

2x + 7.5 = 13

2x = 5.5

x = 2.75

Now that we have the length of the shorter board, we can add 7.5 to it to get the larger one.

2.75 + 7.5 = 10.25

6 0
3 years ago
Hiii please help i’ll give brainliest if you give a correct answer tysm!
Arisa [49]

Answer:

36

Step-by-step explanation:

The number in the first column is multiplied by 6 to get the number in the second column. 6 times 6 = 36.

I'm extremely sorry if it's wrong.

3 0
3 years ago
4. Seven times the difference of a number k and five is twenty-onel
laila [671]

Answer:

k = 8

Step-by-step explanation:

7(k - 5) = 21

k - 5 = 3

k = 8

Hope this helps!

4 0
3 years ago
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