There are 1,000 meters in 1 kilometer. Convert 5,000 meters to kilometers.
A) 0.5 km
Eliminate
B) 5 km
C) 50 km
D) 500 km

Answer:

100. 120

101. 28

102. 1

103. 24

Step-by-step explanation:

Number of Permutation (P) can be obtained as follow:

nPr = n! / (n– r)!

Number of Combination (C) can be obtained as follow:

nCr = n! / (n– r)! r!

With the above ideas in mind, let us determine the answers to the questions given above.

100. Evaluation of ₅P₄

nPr = n! / (n– r)!

₅P₄ = 5! /(5 – 4)!

₅P₄ = 5! / 1!

₅P₄ = 5 × 4 × 3 × 2 × 1 / 1

₅P₄ = 120

101. Evaluation of ₈C₂

nCr = n! / (n– r)! r!

₈C₂ = 8! / (8 – 2)!2!

₈C₂ = 8! / 6!2!

₈C₂ = 8 × 7 × 6!/ 6! × 2 × 1

₈C₂ = 8 × 7 / 2 × 1

₈C₂ = 56/2

₈C₂ = 28

102. Evaluation of ₇C₀

nCr = n! / (n– r)! r!

₇C₀ = 7! / (7 – 0)!0!

₇C₀ = 7! / 7!0!

Note: 0! = 1

₇C₀ = 7! / 7!

₇C₀ = 1

103. Evaluation 4!

4! = 4 × 3 × 2 × 1

4! = 24

Answer:

5.1 gallons

Step-by-step explanation:

Using the information provided, we know that there is of course 40.8 gallons of paint to be divided into 8 containers. This means we must use a division problem to figure out our answer.

We are splitting the 40.8 gallons into the 8 containers so that means our dividend is 40.8 and our divisor is 8. With this information, we can go ahead and put this into an expression of:

40.8/8

If you have a calculator, you can plug that equation in to get 5.1, but if you don't then a bit of easy long division will get you the same answer of 5.1 gallons.

Answer: 51 gallons

Step-by-step explanation:

Answer:

how you convert feet to square feet

length X width = square feet

if the board is 3ft long and 1 foot wide

3ft X 1ft = 3square feet

so the length is 3 feet

Answer:

Step-by-step explanation:

the answer is 9

Answer:

2π² or 19.74

Step-by-step explanation:

Given r = π

Then:

or

Answer:

0.123 GSD are expected to be received by each JPY.

Step-by-step explanation:

The exchange rate is the ratio of GSD per each JPY, that is:

[tex]x = \frac{12.33\,GSD}{100\,JPY}[/tex]

[tex]x = 0.123\,\frac{GSD}{JPY}[/tex]

Which means that 0.123 GSD are expected to be received by each JPY.

Answer:

1). Option (3)

2). Option (D)

Step-by-step explanation:

1). Integers are the numbers which are whole numbers with negative or positive notations.

Integers can't be a fraction or a number with decimal.

Out of the numbers given,

-18 and 4 will be the integers

Option (3) is the correct answer.

2). Shaded portion of the diagram represents the rational numbers excluding integers,

By the definition of the rational numbers, any number which can be written as a fraction is a rational number.

Rational numbers → All numbers given are the rational numbers

Integers → [tex]\frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4[/tex]

Therefore, only one number [tex]\frac{30}{9}[/tex] will lie in the shaded region.

Option (D) will be the answer.

Answer:

-1/8

Step-by-step explanation:

lim x approaches -6     (sqrt( 10-x) -4) / (x+6)

Rationalize

   (sqrt( 10-x) -4)      (sqrt( 10-x) +4)

    ------------------- * -------------------

       (x+6)                 (sqrt( 10-x) +4)

We know ( a-b) (a+b) = a^2 -b^2

a= ( sqrt(10-x)   b = 4    

(10-x) -16

-------------------

(x+6) (sqrt( 10-x) +4)    

-6-x

-------------------

(x+6) (sqrt( 10-x) +4)

Factor out -1 from the numerator

-1( x+6)

-------------------

(x+6) (sqrt( 10-x) +4)

Cancel x+6 from the numerator and denominator

-1

-------------------

(sqrt( 10-x) +4)

Now take the limit

lim x approaches -6    -1/ (sqrt( 10-x) +4)

                                      -1/ (sqrt( 10- -6) +4)

                                      -1/ (sqrt(16) +4)

                                      -1 /( 4+4)

                                        -1/8

Answer:

[tex]\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6} =-\frac{1}{8}[/tex]

Step-by-step explanation:

We want to evaluate the limit:

[tex]\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6} \\[/tex]

When attempting to evaluate a limit, we should always try direct substitution. This yields:

[tex]\displaystyle \begin{aligned} &\Rightarrow \frac{\sqrt{10-(-6)}-4}{(-6)+6} \\ \\ &=\frac{\sqrt{16}-4}{-6+6}\\ \\ &=\frac{4-4}{-6+6}\\ \\ &=\underbrace{\frac{0}{0}}_{\text{Indeterminate}} \end{aligned}[/tex]

Since the result is an indeterminate form, we can try simplifying the limit.

Let's cancel the square root in the numerator. We can use the difference of two squares. Recall that:

[tex](a-b)(a+b)=a^2-b^2[/tex]

The expression in the numerator is:

[tex]\sqrt{10-x}-4[/tex]

Therefore, to cancel it out, we will multiply it by:

[tex]\sqrt{10-x}+4[/tex]

Multiply. This yields:

[tex]=\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6}\cdot\frac{\sqrt{10-x}+4}{\sqrt{10-x}+4} \\[/tex]

Simplify:

[tex]\displaystyle \begin{aligned} &= \lim_{x \to -6}\frac{(\sqrt{10-x})^2-(4)^2}{(x+6)(\sqrt{10-x}+4)}\\ \\ &=\lim_{x\to-6}\frac{(10-x)-(16)}{(x+6)(\sqrt{10-x}+4)}\\ \\ &=\lim_{x \to \ -6}\frac{-x-6}{x+6(\sqrt{10-x}+4)}\end{aligned}[/tex]

Factor:

[tex]\displaystyle \lim_{x \to \ -6}\frac{-(x+6)}{(x+6)(\sqrt{10-x}+4)}[/tex]

Cancel:

[tex]\displaystyle \lim_{x \to \ -6}-\frac{1}{\sqrt{10-x}+4}[/tex]

Now, we can attempt direct substitution again. Thus:

[tex]\displaystyle \begin{aligned} &\Rightarrow -\frac{1}{(\sqrt{10-(-6)}+4)}\\ \\ &=-\frac{1}{\sqrt{16+4}}\\ \\ &=-\frac{1}{(4+4)} \\ \\ &=-\frac{1}{8}\end{aligned}[/tex]

Therefore:

[tex]\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6} =-\frac{1}{8}[/tex]

Answer:

3 x (14-3) = 33

Step-by-step explanation:

The algebraic expression will be : 3(x - 4) = 33

Given,

3 times the difference of a number and 4 is 33

Now,

Let the number be x .

So,

Three times the difference of x and 4 will be 33 .

So,

First subtract x-4

Then thrice of this is 33

So,

3(x - 4) = 33

Thus the algebraic expression is 3(x - 4) = 33 .

After solving the expression:

x- 4 = 11

x = 15

Know more about algebra,

https://brainly.com/question/16934260

#SPJ6

Answer:

k=3 z=-6

Step-by-step explanation:

12k=36

k=36/12

k=3

-6z=36

z=36/-6

z=-6

12(3)-6(-6)=36

Answer :

y=7x-47

Step-by-step explanation:

[tex] (8, 9) = (x_1,y_1) \\ m = 7 \\ y - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)[/tex]

[tex]y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47[/tex]

I hope it helps

Answer:

3953

Step-by-step explanation:

67x59 = 3953

Hi

perimeter of rectangle is  : 2 length+2 width .

to progress in math, you must practice.

So , I let you  do the first one which is the esaiest.

48 ) V147+ V147 + V108+V108 =    2V147 +2V108  = 2 ( V147+V108)

Explanation:

The idea is to isolate y getting it by itself. We can do this a number of ways, but possibly the quickest way is to add y to both sides

x/2 - y + 6 = 0

x/2 + 6 = 0+y

x/2 + 6 = y

y = x/2 + 6

This is now in slope intercept form, more or less. We could rewrite the x/2 as (1/2)x to get

y = (1/2)x + 6

Then compare this to y = mx+b and note the slope is m = 1/2 and the y intercept is b = 6.

Side note: the quality of the snapshot is fairly good. I've seen much worse.

Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

Answer:

20 questions

Step-by-step explanation:

Given

[tex]Correct \Marks= +5[/tex]

[tex]Incorrect\ Marks= -2[/tex]

[tex]Score\ Obtained = 30[/tex]

[tex]Number\ of\ correct\ answers = 10[/tex]

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

[tex]Total = +5 * 10[/tex]

[tex]Total = +50\ marks[/tex]

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

[tex]Incorrect = Scores\ Obtained - Total[/tex]

[tex]Incorrect = 30 - (+50)[/tex]

Open bracket

[tex]Incorrect = 30 - 50[/tex]

[tex]Incorrect = -20[/tex]

Divide this by -2 to get the number of incorrect answers

[tex]Incorrect\ Answers = \frac{-20}{-2}[/tex]

[tex]Incorrect\ Answers = 10[/tex]

Add this to the number of correct answers to give the total number of question answered

[tex]Total = Correct\ Answers + Incorrect\ Answers[/tex]

[tex]Total = 10 + 10[/tex]

[tex]Total = 20[/tex]

Hence, Roy answered a total of 20 questions

━━━━━━━☆☆━━━━━━━

▹ Answer

152 - 20 + 80

▹ Step-by-Step Explanation

'Withdrawing' means taking out money which would be represented with a minus sign.

'Deposit' means you are adding money which would be represented with a plus sign.

Therefore, the answer is:

152 - 20 + 80

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

The total population = 9514.2857143 people.

Step-by-step explanation:

Let the total population be represented by X

In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.

Therefore, the total population is calculated as

14% of X = 1332

14/100 × X = 1332

14X/100 = 1332

Cross Multiply

14X = 1332 × 100

X = 1332 × 100/14

X = 9514.2857143

Therefore, the total population = 9514.2857143 people.

Answer:

4.

Step-by-step explanation:

f^-1(x) is the inverse of f(x). That means that f(x) = 2x - 6 becomes...

x = 2y - 6

2y - 6 = x

2y = x + 6

y = 1/2x + 3.

When x = 2...

y = 1/2(2) + 3

= 1 + 3

= 4.

Hope this helps!

Answer:

1 out of 6

Step-by-step explanation:

Answer:

y =2x+1

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Substituting the point into the equation

5 = 2(2)+b

5 = 4+b

5-4 =b

b=1

y =2x+1

Step-by-step explanation:

x+y=9

x=9-y ----------(i)

Now in second eqn put the value of x

2x -3y=8

2(9-y) - 3y=8

18 - 2y - 3y=8

18-8=5y

10=5y

y=2

Then put the value of y in eqn (i)

x=9-y

x=9-2

x=7

I hope this will be helpful for you.

Answer:

Step-by-step explanation:

Given,

x + y = 9

2x - 3y = 8

Using substitution method:

In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equation.

[tex] \mathsf{x + y = 9}[/tex]

Move y to right hand side and change it's sign

⇒[tex] \mathsf{x = 9 - y}[/tex]⇔equation ( i )

Now, put the value of X from equation ( i )

⇒[tex] \mathsf{ 2 (9 - y) - 3y = 8}[/tex]

Distribute 2 through the parentheses

⇒[tex] \mathsf{18 - 2y - 3y = 8}[/tex]

Collect like terms

⇒[tex] \mathsf{18 - 5y = 8}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \mathsf{ - 5y = 8 - 18}[/tex]

Calculate

⇒[tex] \mathsf{ - 5y = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \mathsf{ \frac{ - 5y}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \mathsf{y = 2}[/tex]

Now, Put the value of y in the equation ( i )

⇒[tex]x = 9 - 2[/tex]

Calculate the difference

⇒[tex] \mathsf{x = 7}[/tex]

Hence, x = 7 and y = 2

The possible solution of the system is the ordered pair ( x , y )

[tex] \mathsf{(x \: , y \: ) = (7 , \: 2)}[/tex]

---------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

⇒[tex] \mathsf{7 + 2 = 9}[/tex]

⇒[tex] \sf{2 \times 7 - 3 \times 2 = 8}[/tex]

Simplify the equalities

⇒[tex] \sf{9 = 9}[/tex]

⇒[tex] \mathsf{8 = 8}[/tex]

Since all of the equalities are true , the ordered pair is the solution of the system.

[tex] \mathsf{ \underline{ \bold{(x \:, y \: ) = (7 \:, 2)}}}[/tex]

Hope I helped!

Best regards!!

Answer:

Width   W = 7 m

Length  L =  9 m

Step-by-step explanation:

Area of a rectangle = L * W

Area = 63 m²

L = 3W - 12

Area = L * W

66 = (3W - 12) * W

63 = 3W² - 12W

3W² - 12W - 63 = 0     ( solve W by using quadratic equation)

       -(-12) ± √ -12² - 4 * 3 * (-63)

W = -------------------------------------------

                      2 * 3

W = 7 ;  W = - 3  

therefore use W = 7 m

solve for L:

L = 3W - 12

L = 3(7) - 12

L =  9 m

check:

Area = L * W

63 =  9 * 7

63 = 63  ----- OK

Answer:

(6,26)

Step-by-step explanation:

You will take the points and graph them since these are both positive equations they will go up and to the right.

both intersect at (6,26)

also if you forgot how to graph it, I got you

1. find the rate of change (as I will call it) THIS IS YOUR NUMBER NEXT TO THE X!!! this means that the line will go up 4 and over 1 then your whole number, in this example would be 2 is your y-intersect (the place on the y-axis where the line passes) after that you should be able to draw your lines and find the poi!

Please comment if I got something wrong! I don't want to be giving bad advice

Answer:

12x+16-4y

Step-by-step explanation:

Answer:

lets start with x = 5x+7x=12x

now y = 2y-6y= -4y

now reg numbers = 8+8=16

now add all of them not litteraly add by add as in make them into a expression

so

12x-4y+16

Answer:

No!

Step-by-step explanation:

This question is essentially asking if [tex]\frac{5}{6}[/tex] = [tex]\frac{3}{4}[/tex]

Well we can easily tell that it doesn't, but if we want to check, we can do cross multiplication.

So we are trying to find out if 5(4) = 3(6).

5(4) = 20 and 3(6) = 18.

[tex]20 \neq 18[/tex] so [tex]5:6 \neq 3:4[/tex]

They are not equal!

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Right on E 2020

Answer:

10

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

Answer:

Step-by-step explanation:

pi - 1 = 3.14 - 1 = 2.14

x has to be an integer, and the result must be greater than 1.

1 works.

1 < 2.14*1 < 10  2.14 is between 1 and 10.

2 works

1 < (2.14)*2 < 10

1 < 4.28 < 10

3 works

1 < 2.14 * 3 < 10

1 < 6.42 < 10

4 might work

1 < 2.14*4 < 10

1 < 8.56 < 10

and it does work.

5 can't work

1 < 5 * 2.14 < 10

1 < 10.7 < 10 is not true.

Answer: 1,2,3,4

Answer:

-31

Step-by-step explanation:

-2((c+5)/(-2))=13*-2

c+5=-26

c=-31

Answer:

c = -31

Step-by-step explanation:

(c+5)/(-2)=13

Multiply each side by -2

(c+5)/(-2) *-2=13* -2

c+5 = -26

Subtract 5 from each side

c+5-5 = -26-5

c = -31

Answer:

8 and 5.

Step-by-step explanation:

8 x 5 = 40

8 + 5 = 13

Answer:

itś between 30 and 45 but my best guest is 30

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

because i said so