Must write and solve using a system of linear equation.
* 10. You have 39 math and science problems for homework. You
have 15 more math problems than science problems. Use the
model to write a system of linear equations. How many problems
do you have in each subject?

Answer:

The proposed negation is not correct. A possible corect negation woulld be: There is an irrational number and, a rational number whose product is rational.

Step-by-step explanation:

From the given information above:

STATEMENT: "The product of ANY irrational number and ANY rational number is irrational".

From the above statement, the word "ANY" is very vital. Let assume we choose an element x from a particular set X of irrational numbers, as well as an element y from the set Y of a rational number, therefore, the statement has a use case and applies to every x and y element. Thus, in an effective mathematical way, the statement typically implies "for all x in set X and for all y in set Y, the product x*y is irrational.

However; from the negation of the "for all" statement is "there exists" (any text in discrete arithmetic will assist you to become fully aware of this fact). Any ramifications in the statement is likewise negated, i.e; if the statement infers that the resulted product of x and y is irrational, at that point the negation(invalidation) infers that the item isn't irrational. For example, it is rational. At the point when we set up every one of these facts, we get:

"There exist an element x in the set X, in addition to that; there exists an element y in set Y;  x*y is rational".

If we express that into the option given; the right option is:

"There exist an irrational number and a rational number whose product is rational"

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Answer:

2x² - 2x - 12 ÷ (x+2)

= 2x - 6

D. 2x-6 with no remainder

The quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

To find the quotient when (x + 2) is divided into the polynomial

2x² - 2x - 12.

Now,

The polynomial is,

⇒ 2x² - 2x - 12

⇒ 2 (x² - x - 6)

⇒ 2 (x² - 3x + 2x - 6)

⇒ 2 [ x (x - 3) + 2(x - 3) ]

⇒ 2 [ (x + 2) (x - 3) ]

Hence, We can divide polynomial by (x + 2) as;

⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)

⇒ 2 (x - 3)

⇒ 2x - 6

Therefore, the quotient when (x + 2) is divided into the polynomial

2x² - 2x - 12 is, (2x - 6) with no remainder.

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ7

Cos x = 5 / 9 ==》 Cos x = 0.55

==》 x = 56 degrees

Answer:

x = -9

Step-by-step explanation:

First,Add 4 to both sides

-4x-4+4=36-4+4

Then,simplify

-4x=36

divide both sides by -4

-4x/-4 = 36/-4

Lastly simplify it to get your answer!

Answer:

(4 * 8y) - (4 * 12)

Step-by-step explanation:

We have the equation 4(8y - 12) and are asked to expand, this equation can be solved through distribution, and to expand it, we need to separate the "4" to multiplying into "8y" and "-12"

Therefore :

(4 * 8y)(4 * -12)

Now this may seem correct, but we have to keep in mind that we are not multiplying both answers within the parenthesis but yet subtracting, therefore :

(4 * 8y) - (4 * 12)

Answer:

B

Step-by-step explanation:

elimination

4x - y = 8

6x + y = 2

--------------- +

10x = 10

x = 1

since x = 1, we can subtitute x to one of those equations

4x - y = 8

4(1) - y = 8

4 - 8 = y

y = 4 - 8

y = -4

x,y = 1,-4

Answer:

B is correct

Step-by-step explanation:

you add the two equations together. So 4x + 6x  equals what? 10x. we know that y and -y cancel each other out. and then we all know that 8+2 is 10. now we have 10x=10 so x=1. We replace x for one and then we have 4 - y =8 so y has to equal -4 and there you have your answer, b

Answer:

From least to greatest, the correct order is: [tex]-\frac{157}{20}[/tex]; -7.666....; -7.64; and [tex]\sqrt{50}[/tex].

Step-by-step explanation:

Since [tex]\sqrt{50}[/tex] is the only positive number, that means that it will be the greatest number on the list. [tex]-\frac{157}{20}[/tex] is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is [tex]-\frac{157}{20}[/tex]; -7.666...; -7.64; and [tex]\sqrt{50}[/tex].

Answer:

Step-by-step explanation:

[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]

[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]

[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]

[tex] = > \frac{3 - 2}{4} x = 10[/tex]

[tex] = > \frac{1}{4} x = 10[/tex]

=> x = 10 × 4

=> x = 40

Here,

The variable x whose only one value 40 will solve the equation.

Hence,

It has only one solution. (Ans)

The answer is .25 kilometers a minute.

This is because [tex]speed = \frac{distance}{time}[/tex] so you need substitute then divide to find the answer

You can check this answer by doing 15÷60 which comes out to .25 km a minute.

Answer:0.25m per minute

Step-by-step explanation:

You divided the 15 by the 60 since 15 is the km and 60 minutes and you want to know how far can she run in minutes

Hope this helped :)

Tell me if it’s wrong :]

Answer:

60 pages

Step-by-step explanation:

2pages = 5min

30 x 2 = 60

Therefore, in half an hour Doreen can type 60 pages

Answer:

Im pretty sure you are correct

Step-by-step explanation:

Belive in urself m8

Answer:

no I don't think this is correct

Step-by-step explanation:

(no btw)

Answer:

Answer H

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

a triangle adds up to 180°

25+30+x= 180

55+x=180

x=180-55

x=125

x and y is a straight line so it adds up to 180°

x=125 y=?

x+y=180

125+y=180

y=180-125

y=55°

y= 55°

Answer:

3/2

Step-by-step explanation:

MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.

To get the scale factor you have to compare the sides.

Line AD = 6 in.

Line MP = 4 in.

6/4 = 3/2

Answer:

Hamid will take 8 hours and 20 minutes to read 375 pages of the book.

Step-by-step explanation:

Given that Hamid has read 60 pages of the book he will be using for a book report, if he reads 45 pages per hour, to determine how many hours will it take him to read at least 375 pages of the book the following calculation must be done:

375/45 = X

8.3333 = X

0.333 x 60 = 20

Thus, Hamid will take 8 hours and 20 minutes to read 375 pages of the book.

Answer:

24 is the least common multiple of 3, 4, 6, and 8 is

Answer:

Yes, It is improper.

Step-by-step explanation:

Your answer is correct. The limits of integration are finite. The integrand is not continuous on [1, ∞). At least one of the limits of integration is not finite. The integrand is continuous on [1, ∞).

3(y-2)=18

3y-6=18

3y=24

y=8

HOPE THIS HELPS AND YOU GOT GOOD GRADES

Answer:

blank 1= 6

blank 2=6

Step-by-step explanation:

y=2

3y=6

6/3=2

hope that helps

have a great day/night

Answer:

1 is the answer

Answer:

the coefficient of the squared expression in the parabolas equation: D. 3

Step-by-step explanation:

y = a (x-h)² + k        parabola equation

y=-1 and x=3    vertex(h,k): (2,-4)

-1 = a * (3-2)² + (-4)

-1 = a - 4

a = -1 + 4 = 3

equation: y = 3 * (x-2)² -4

Answer:

d !

Step-by-step explanation:

Answer:

The correct option is 3.

Step-by-step explanation:

By multiplying each side by -8, you can get rid of the fraction. Then by subtracting 35 from both sides, you get what is x.

Answer:

I think the interquartile range is 2.5

Step-by-step explanation:

Interquartile range = Q3-Q1.

Answer: 1/6

Step-by-step explanation:

Answer:

D. 2

Step-by-step explanation:

DEFG is a trapezoid and AB is its Midsegment.

Therefore,

[tex]AB =\frac{1}{2}(DG + EF) \\ \\ 12 = \frac{1}{2} (5x - 4 + 8x + 2) \\ \\ 12 \times 2= (13x - 2) \\ \\ 24 = 13x - 2 \\ \\ 24 + 2 = 13x \\ \\ 26 = 13x \\ \\ x = \frac{26}{13} \\ \\ x = 2[/tex]