a. If the two premises fit the pattern of Law of Detachment, Law of Contrapositive, or Law of Syllogism, determine the conclusion that logically follows and which law.

When I ski, I fall down.

I didn’t fall down.


I didn't go skiing.


I went skiing.

If I go skiing I will fall down.


No valid conclusion.

Question 2
b. What Law of Logic led you to your conclusion in part a?

Law of Syllogism

Law of Contrapositive

No law, it's not a valid conclusion

Law of Detachment

Answer:

m = 8

Step-by-step explanation:

Step 1: Write the equation neatly. {3 (m + 4) = 36}

Step 2: Distribute 3 to m and 4. {3 x m = 3m} {3 x 4 = 12}

Step 3: Write the new equation. {3m + 12 = 36}

Step 4: Subtract 12 from both sides. {12 - 12 = 0} {36 - 12 = 24}

Step 5: Write the new equation. {3m = 24}

Step 6: Divide 3 from both sides. {3m / 3 = m} {24 / 3 = 8}

Step 7: Write the new equation and you get your answer. {m = 8}

Answer:

The tax itself would be $1.44 and the total would be $25.44

Step-by-step explanation:

You multiply 24 by 6% (0.06) and get 1.44 then you add that to the original cost (24) and get $25.44.

Total cost will be $25.44.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

Cost of shirt = $24

Tax = 6%

Now,

The value of tax = 24 × 6%

                         = 24 × 6/100

                         = 1.44

So, Total cost =  $24 + $1.44

                     = $25.44

Thus, Total cost will be $25.44.

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Answer:

Your Domain and range would be the same, and the answer to it is,

Step-by-step explanation:

-∞<x<∞

Answer:

The equation of the line is:

[tex]y=(-\frac{1}{2})x+1[/tex]

Therefore, option a is the correct answer.

Step-by-step explanation:

Given the points

Finding the slope

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:-1\right)[/tex]

[tex]m=\frac{-1-2}{4-\left(-2\right)}[/tex]

[tex]m=-\frac{1}{2}[/tex]

As the point-slope form of the equation of the line is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

substituting the values [tex]m=-\frac{1}{2}[/tex] and the point (-2, 2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-2=\frac{-1}{2}\left(x-\left(-2\right)\right)[/tex]

[tex]y-2=\frac{-1}{2}\left(x+2\right)[/tex]

[tex]y-2=-\frac{1}{2}\left(x+2\right)[/tex]       ∵[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

Add 2 to both sides

[tex]y-2+2=-\frac{1}{2}\left(x+2\right)+2[/tex]

[tex]y=(-\frac{1}{2})x+1[/tex]

Hence, the equation of the line is:

[tex]y=(-\frac{1}{2})x+1[/tex]

Therefore, option a is the correct answer.

Answer:

the answer is b

Step-by-step explanation:

the answer would be b because you add 12+12 then 5+5 and if you add those together it would be 34 then you would add the diagonal lines together which would be 20 so then you would add 34 plus 26 and then you would get 60 which is b

IF I'M WRONG I APOLOGIZE BUT I'M ALMOST 100% SURE THAT'S THE ANSWER

Answer:

y = 2x - 3

Step-by-step explanation:

Step-by-step explanation:

There's no shaded portion.

Answer:

there not shade portions

Answer:

Step-by-step explanation:

Step one:

given data

total money =$11,000

number of chairs to be purchased= 400

cost per chair=$72

Step two:

the cost of 400 chairs will be

400*72= $28,800

there will be a deficit of

=28,800-11,000

=$17,800.

This shows that the office manager does not have enough funds for the purchase.

Hence to support his thinking,

A. He does a calculation to find the cost of 400 chairs and compares the amount to the amount he has.

Answer:

Answer:

Step-by-step explanatinon:

percent is per hundred

4 dimes is  40 cents or $0.40 or 40/100 of a dollar which is40%

1 nickel and 3 pennies or 8 cents or $0.08 Or 8/100 or 8%

5 quarters and one dime is 135/100 or  $1.35 or 135/100 which is 135%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

7 dimes and 1 nickel = 7*10 + 5 = 75 cents.

A dollar has 100 cents

75 cents * 1 dollar/100  cents  * 100 =

0.75 * 100 = 75%

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² -  161² = OE²

OE²  =  226² -  161²

OE²  = 51076 - 25921

OE²  =  51076 - 25921

OE²  =  25155

[tex]OE = \sqrt{25155}[/tex]

OE =  158.60 m

OE ≅ 159 m

Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.

Answer:

8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The correct measure of other angle should be less than 49°.

It is given that a student measures that one acute angle has a measure of 41° and other acute angle has measure of 139°.

We have to find out that while finding measure of other angle what error might student have made.

What do you mean by an acute angle ?

An acute angle is an angle which measures less than 90 degrees. i.e., ∠45°.

As per the question ;

1st angle = 41 °

we know that sum of acute angles of a triangle should be less than 90°.

Let's assume other angle be x.

So ;

x + 41° < 90°

x < 90° - 41°

x < 49°

So , the student had measured ∠2 wrongly because sum of acute angles of a triangle should be less than 90°.

Thus , the correct measure of other angle should be less than 49°.

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Answer:

1,1/7 or 0.85

Step-by-step explanation:

d-10-2d+7=8+d-10-3d=-5d=-d=d=5

in mathematics there is nothing like 1d,it is d

re-arrange

d-2d-d+3d+5d+d-d=10-7+8-10+5

7d=6

d=6/7

d=1,1/7 or 0.85

Answer:

D=1

Step-by-step explanation:

just took a test with this question in it.

Answer:

X=12

Step-by-step explanation:

since the sum of the interior angles in a triangle is 180 so 5*12= 60

60*3= 180°

hope that helped

Answer:

i think its A

Step-by-step explanation:

(^///^)(^///^)(^///^)

Answer: The answer is A

Step-by-step explanation: BC i used sum weird website where i have to show my dog i think its buzz feed and they said my age and still got it wrong for the answer lol ion know ur welcome woo

Answer:

G and D

Step-by-step explanation:

Answer:

kevin is 30 now

Step-by-step explanation:

in 2 years dana will be 27 and kevin will be 32 so kevin is 30 now.

59-5=54/2=27

hope this helps:)

Answer:

Kevin is 34 years younger

Full page? In exchange for something i'll do it all.

1.

5:15

7: 21

9: 27

11: 33

2.

1: 20

2: 40

3: 60

80:160

3.

0: -25

1: -23

2: -21

3: -19

4. x = -(1/3)

5. x = 0

6. y = 16

7. y = -17

Answer:

a=0."3636"

b=repeating.(explanation down below)

Step-by-step explanation:

a)decimal

=16

44

=4

 11

=0."3636"

b) the decimal is repeating. the term terminating means having an end or to stop. the current decimal is repeating as it channels a continuous cycle 0.3636... hence concluding that it is repeating(or recurring)

Answer:

y=3/4x-4

Step-by-step explanation:

the y intercept is -4 and then you plug in the slope

Answer:

5/1

Step-by-step explanation:

Step-by-step explanation: you just put 50/10 and divide by the common number, 5, which gets you 5/1

Answer:

It's actually -4/5 if you are multiplying -2 times 2/5

-1/5 out of a fraction= -0.2

-4/5 out a fraction= -0.8

Step-by-step explanation:

you basically divide the numbers which turns into a decimal

Answer:

The pizza was heated at a constant rate. The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes). Time(Minutes) Temperature( degree .

Answer:

14 did it on khan

Step-by-step explanation:

proof:

Answer:

The sum of (−3x−4y) and (x+3y) in simplest terms will be:

[tex]\left(-3x-4y\right)+\left(x+3y\right)=-2x-y[/tex]

Step-by-step explanation:

Given

Finding the sum of (−3x−4y) and (x+3y)

[tex]\left(-3x-4y\right)+\left(x+3y\right)[/tex]

[tex]=-3x-4y+x+3y[/tex]

[tex]=-3x+x-4y+3y[/tex]

[tex]=-2x-4y+3y[/tex]

[tex]=-2x-y[/tex]

Therefore, the sum of (−3x−4y) and (x+3y) in simplest terms will be:

[tex]\left(-3x-4y\right)+\left(x+3y\right)=-2x-y[/tex]

Answer:

3

Step-by-step explanation:

its 3 because its half of the ratio 6

Answer:

9000

Step-by-step explanation:

they make 600 every minute so in 15 minutes they would make 9000

Answer:

They can make 9000 crayons in 15 minutes.

Step-by-step explanation:

Figure out the ratio:

[tex]\frac{2400}{4}[/tex]

Simplify it to get the total number of crayons that they can make in one minute.

2400/4 = 600

They can make 600 crayons per minute.

Now, you should have a proportion.

[tex]\frac{600}{1}[/tex]

Now, multiply the denominator and numerator by 15 because whatever you do to the denominator you have to do to the numerator.

You should now have your answer.

[tex]\frac{9000}{15}[/tex]

Crayola can make 9000 crayons in 15 minutes.