Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select
three options
Olf p = a number is negative and q = the additive inverse is positive, the original statement is p - 9.
Olf p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is
---
Olf p = a number is negative and q = the additive inverse is positive, the converse of the original statement is
-9 - p.
Olf q = a number is negative and p = the additive inverse is positive, the contrapositive of the original
statement is pr9
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement
is 9 - P.
no

4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?

a. What are they asking for?

how big was the original group?

b. identify all the necessary numbers.

28,5

c. write the equation or problem in numeric form.

x=28*5

d. solve the math.

x=140

e.write the answer

. the original group contains 140 people.

5. If he difference is 589 and the subtrahend is 339,what is the minuend?

a. What are they asking for?

what is the minuend?

b. identify all the necessary numbers.

589,339

c. write the equation or problem in numeric form.

x=589-339

d. solve the math.

x=250

e.write the answer.

minuend=250

6. If the quotient is 17 and the dividend 765, what is the divisor?

a. What are they asking for?

what is the divisor?

b. identify all the necessary numbers.

17,765

c. write the equation or problem in numeric form.

x=765/17

d. solve the math.

x=45

e.write the answer.

divisor is 45.

4. Solution

a. How big was the original group?

b. 28 and 5

c. x = 28×5

d. x = 140

e. There are 140 people in original group.

5. Solution

a. What is the minuend?

b. 589 and 339

c. x = 589-339

d. x = 250

e. The minuend is 250.

6. Solution

a. What is the divisor?

b. 17 and 765

c. x = 765/17

d. x = 45

e. Hence, 45 is the divisor.

The substitution method is used in elimination to find the solution to the equation.

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The given equation in the problem is;

Equation P: a - b = 9

Equation Q: a+b=5

The value obtained from the equation P is;

a - b = 9

a=b+9

Substitute the value in the equation Q;

a+b=5

b+9+b=5

2b=9-5

b=2

The value of a is;

a-b=9

a-2=9

a=9+2

a=11

Hence the value of a and b will be 11 and 2.

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Answer:

honestly this is a very poorly worded question...

it can be interpreted in several different ways....

the cost of the house (for them to purchase it) was

$129,625 + $18,375 = $148,000

The total amount that they paid for the house (money spent)

was  

$129,625 + $18,375 + $273,116 = $421,116

all being said I think that the $148,000 is the answer that the question

is trying for you to figure out

Step-by-step explanation:

Answer:

A. It acts perpendicular to an object

Answer:

in jh ynhtym

hunt ghb JBL iggmmjuu ki ju nu j

Answer:

D

Step-by-step explanation:

The inscribed angle XYZ is half the measure of its intercepted arc XZ , then

arc XZ = 2 × 72° = 144° → D

Answer:

-1x - 1

Step-by-step explanation:

the factor of x is the slope of the line in the form of y/x.

it simply says how many units y changes for a given change of x.

in our diagram we can see that when x changes one unit to the right (positive), y changes 1 unit down (negative).

so, the slope or factor of x = -1/1 = -1

and when x=0, y=-1.

so, the constant offset in the line equation is -1 too.

so, it is

y = -x - 1

or as explicit factor for x

y = -1×x - 1

Answer:

0.395

Step-by-step explanation:

We need to solve the given expression.

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]

We can also write it as :

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)

So,

[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]

So, the value of the given expression is equal to 0.395.

Answer:

A - True

B - False

C - True

D - False

E - True

Step-by-step explanation:

The profit percentage = 16.3%

Answer:   [tex]\huge\boxed{x=3\frac{1}{3} \quad ;\quad y=-3}[/tex]

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol+\ \left \{ {{6x+4y=8} \atop {-4y=12}} \right. \Longrightarrow\\\\\\ 6x+ 4y\!\!\!\!\!\diagup-4y\!\!\!\!\!\diagup=12+8 \\\\6x=20 \\\\x=\frac{20}{6} =\frac{10}{3} =3\frac{1}{3} \quad ; \quad y=-3[/tex]

Answer:

6/7 inches

Step-by-step explanation:

If 7 stamps fit perfectly, we can find the width of each stamp by dividing the width of the frame by 7:

= 6/7

So, the width of each stamp is 6/7 inches

Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour

Answer:

5x^2+3x^2+(3x+1)^2+(2x-4)^2

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

[tex]a_1 = 5[/tex]

[tex]a_n = a_{n-1} + 2[/tex]

Step-by-step explanation:

Given

[tex]a_n = 5 + (n - 1)2[/tex]

Required

The equivalent recursive function

The general explicit function is:

[tex]a_n = a_1+ (n - 1)d[/tex]

So, by comparison

[tex]a_1 = 5[/tex]

[tex]d = 2[/tex]

The recursion of an arithmetic sequence is:

[tex]a_n = a_{n-1} + d[/tex]

Substitute 2 for d

[tex]a_n = a_{n-1} + 2[/tex]

Hence: (a) is correct

Answer:

Let ten's place digit =x and unit place digit =y

Number=10x+y

x+y=5 ...(i)

10x+y−9=10y+x

9x−9y=9x−y=1 ...(ii)

from (i) and (ii) we get,

x=3,y=2

∴Number=10×3+2=32.

Step-by-step explanation:

Hope it helps!

Answer:

250 x 3 = 750g

750g is your final answer

Answer:

The correct response is "0.0129".

Step-by-step explanation:

Given:

[tex]n=1500[/tex]

[tex]p=0.47[/tex]

[tex]np=1500\times 0.47[/tex]

    [tex]=705[/tex]

[tex]nq=1500\times (1-0.47)[/tex]

    [tex]=795[/tex]

Mean of sampling distribution will be:

[tex]\mu_\hat{p}[/tex] = [tex]0.47[/tex]

hence,

The standard deviation will be:

⇒  [tex]\sigma_\hat{p}[/tex] = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

By putting the values, we get

         = [tex]\sqrt{\frac{0.47(1-0.47)}{1500} }[/tex]

         = [tex]0.012886686[/tex]

         = [tex]0.0129[/tex]

Answer:

57°,123°,57°,123°

Step-by-step explanation:

as vertical angles are equal

so one angle=114/2=57°

other angle=180-57=123°

Answer:

pic pls

Step-by-step explanation:

Answer:

The answer is the first one

Step-by-step explanation:

Answer:

Part 1;

(0, 0)

Part 2;

(0, 2.5)

Step-by-step explanation:

Part 1

The given system of inequalities is presented as follows;

f(x) < x + 4; f(x) > -x - 3; and f(x) < 5

We check each of the points as follows;

The point (0, 0) in the inequality f(x) < x + 4, gives;

f(0) < 0 + 4

f(0) = 0 < (is less than) 0 + 4 = 4

Therefore, (0, 0) is a solution of the inequality f(x) < x + 4

The point (0, 0) in the inequality f(x) > -x - 3, gives;

f(0) < -0 - 3

f(0) = 0 > (is larger than) -0 - 3 = -3

Therefore, (0, 0) is a solution of the inequality f(x) > -x - 3

The point (0, 0) in the inequality f(x) < 5, gives;

f(0) < 5

f(0) = 0 < (is less than) 5

Therefore, (0, 0) is a solution of the inequality f(x) < 5

The point (-6, 0) in the inequality f(x) > -x - 3, gives;

f(-6) = -6 - 3 = 3

The point (-6, 0) with y = 0 < (is less than) f(-6) = 3, therefore (-6, 0) is not a solution to (not included in the graph of) the inequality f(x) > -x - 3 and therefore to the system of inequalities because at x = -6, the values of f(x) > -x - 3 are larger than 3

The point (-3, 4) in the inequality f(x) < x + 4, gives;

f(-3) = -3 + 4 = 1

The point (-3, 4) with y = 4 < (is larger than) f(-2) = 1, therefore (-3, 4) is not a solution to (not included in the graph of) the inequality f(x) < x + 4  and therefore to the system of inequalities because at x = -3, the values of f(x) < x + 4 are less than 1

The point (4, 6) is not a solution to (not included in the graph of) the inequality f(x) < 5  and therefore to the system of inequalities because f(x) is larger than 5 for all x

Therefore, the point which is part of the solution set of the system of inequalities is (0, 0)

Part 2

The given system of inequalities are, f(x) ≥ 2·x + 2; f(x) ≤ -4·x + 3; and f(x) ≤ 6·x + 5

Plotting the given system of inequalities on MS Excel the point which is part of the solution is given by points which are within the triangular intersection area of the three inequalities, with coordinates, (1/6, 7/3), (-3/4, 1/2), and (-1/5, 19/5)

Therefore, the points, (0, 0), (-2.5, 0) are not solutions because, the y-value of the solution area are all higher than the line y = 0

The point (0. 6.5) is not a solution because the points in the triangular solution area all have x-values lesser than x = 6.5

The point which is part of the solution by examination is the point (0, 2.5) which is a point between the lines y = 19/5 = 3.8, y = 1/2, x = -3/4, and x = 1/6.

Answer:

y = 2x - 7

Step-by-step explanation:

(1,-5) (2,-3)

y2 - y1 / x2 - x1        -3 - (-5) / 2 - 1     2/1       = 2

y = 2x + b

-3 = 2(2) + b

-3 = 4 + b

-7 = b

Answer:

x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} + \frac{1}{3x} = 4[/tex] (Multiply everything by LCM)

[tex]3x*\frac{1}{x} + 3x*\frac{1}{3x}=3x*4[/tex] (Simplify the fractions)

[tex]3+1=12x\\4=12x\\x=4/12\\x=\frac{1}{3}[/tex]

Answer:

I would say 5 kg because you get more kg with a little bit more money added

Answer:

Step-by-step explanation:

9) 12/n=20/25

simplify 20/25=4/5

12/n=4/5

cross product

n*4=12*5

4n=60

n=60/4

n=15

The missing proportion in each of the following problems shown below:

Statement of equality between two expressions consisting of variables and/or numbers

9) 12/n=20/25

12/n=4/5

n*4=12*5

4n=60

n=60/4

n=15

10) 5/8=n/24

   8n= 5*24

   8n= 120

    n= 120/8

    n=15

11) 2/3= 16/n

   2n=48

   n=24

12) 12/14= n/21

     n=18

13) n/10 = 6/15

    n=4

14)  12/3 = 10/n

     n= 2.5

15) 5/n = 10/16

       n=8

16) 12/8 = 4/n

     n=8/3

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