PLZ HELP ME ! Solve for k

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]

Comparing both coordinate :

[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]

and

[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

Answer:

[tex]x=\sqrt[3]{2}+4[/tex]

Step-by-step explanation:

To "undo" this equation, we need to solve for x.

We begin with the equation

[tex]2=(x-4)^3[/tex]

To remove the cube, we need to take the cubic root of both sides

[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]

And the last step to solve for x will be to add 4 to each side

[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]

And there is our value for x

Answer:

Point

Step-by-step explanation:

Answer:

Three times the sum of x and seven plus ten

Step-by-step explanation:

Three times= 3(times)

the sum of x and seven= x+7

plus 10= +10

Answer:

68.8 yards

Step-by-step explanation:

We can do justice to this question using proportion,

Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z

Let us denote the field on map as Z

Then we can say

5 inches on the map/ 2 yards in the park = 175inches/ X yards

If we cross multiply

5(Z )= 172 × 2

5(Z ) = 344

Make Z subject of the formula

Z= 344/5

Z= 68.8 yards

Hence the the actual park is 68.8 yards

Answer:

16. DF = - 1-(-4) = 3

17. DE = -1/1/3 -(-4)

= - 5/3 + 12/3

= 7 / 3

18. FG = 2-(-1) = 3

19. FH = 3.5 - (-1) = 4.5

20. GH = 3.5 - 2 = 1.5

21. EH = 3.5 -(-1.5) = 5

22. AC = 16

3x + 7 = 16

x = 3

23. AB = x +7

= 10

24. BD = 2x + 3x - 1

=5(3) - 1

=14

25. CE = 3x - 1 + 2x + 3

=5x +2

=17

Answer:

B. 8 times the difference of a number z and 6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Translate (z - 6)

z = a number z

- = difference

6 = six

(z - 6) = The difference between a number z and 6

Step 2: Translate 8(z - 6)

(z - 6) = The difference between a number z and 6

Since we are distributing the 8, we are multiplying.

8 times the difference of a number z and 6

Answer:

48 days

Step-by-step explanation:

Let us assume the following things

Work done by 1 man in 1 day is [tex]\frac{1}{x}[/tex]

Work done by 1 woman in 1 day is [tex]\frac{1}{y}[/tex]

It is mentioned that

six men + ten women finished in 8 days

So,

[tex]\frac{6}{x} + \frac{10}{y} = \frac{1}{8}[/tex] .............. (1)

And,

four men + six women finished in 12 days

[tex]\frac{4}{x} + \frac{6}{y} = \frac{1}{12}[/tex] ...............(2)

Now solve these two equations

And we assume [tex]\frac{1}{x}[/tex] be u and [tex]\frac{1}{y}[/tex] be v

So

Now the equation is

[tex]6u\ + 10v\ = \frac{1}{8} \\\\\4u\ + 6v\ = \frac{1}{12}[/tex]

So,

u = 1 ÷ 48 , v = 0

Therefore x = 48

So the time taken for finish the work is 48 days

Answer:

-0.22222222222222

Step-by-step explanation:

hope this helps

Answer:

25.

Step-by-step explanation:

Answer:

t < 38/17

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Rectangle: (n)+(n)+(n+2)+(n+2)=4n+4

Square: (n+1)+(n+1)+(n+1)+(n+1)=4n+4

4n+4=4n+4

Yes, they are equal in perimeter.

Answer:

they have equal perimeter.

Step-by-step explanation:

perimeter :-

.Rectangle=2(n+2+n)=2(2n+2)=4(n+1)

Square=4(n+1)

Answer:

a circle is the locus of all points equidistant from a central point

Answer: 7.3

Step-by-step explanation:

To find the distance between these two points, find the difference in the x and y values then square them  and add them then finally find the square root of that added number obtained.

5 - 7 = -2

9 - 2 = -7  

-2^2 + -7^2 = d^2  where d is the distance

4 + 49 = d^2

53 = d^2

d = [tex]\sqrt{53}[/tex]

d= 7.2801  rounded to the nearest tenth  is 7.3

Answer: n= [tex]\frac{d}{9} - \frac{5m}{9}[/tex]

Step-by-step explanation:

d= 5m + 9n   try to get 9n alone by subtracting 5m from both sides

d -5m = 9n   Now divide both sides by  9 to get  n alone

n = [tex]\frac{d}{9} - \frac{5m}{9}[/tex]  

Answer:

9/20 pages/minute = .45 pages/min

Step-by-step explanation:

3/2 pages /  10/3 minutes = 3/2 x 3/10   = 9/20 pages per minute or .45 pages/min

Answer:

0.58

Step-by-step explanation:

58/100 = 0.58

Since hundred has two zeros, it moves forward twice and hence the decimal point ends in front of the 5 making is 0.58

Answer:

B.

Step-by-step explanation:

Hi! Here is the explanation!

When reading this question you need to make sure you know that sum and more than are words that can help to create equations. Jacob is 2 years older than becky and michas ages combined.

The equation would be:

y= 2+ (Becky's age+Micha's age)

I hope this helped!

Answer:

mean is 4.86

mean absolute deviation is 4.86

Step-by-step explanation:

Answer:

y = 4(0.75) or y = 3

Step-by-step explanation:

The question is incomplete. Here is the complete question:

The cost saver grocery club sells sheet cakes. Each 1/4 sheet of cake requires 0.75 teaspoon of baking soda. Which expression can be used to find the amount of baking soda needed for a whole cake? Select all the expressions that apply.

Let the amount baking soda required for a whole cake be y.

If each 1/4 sheet of cake requires 0.75 teaspoon of baking soda, the expression that can be used to find the amount of baking soda needed for a whole is as shown below;

1/4 sheet of cake = 0.75 teaspoon of soda

1 sheet of cake = y teaspoon of soda

cross multiply

1/4 * y = 1 * 0.75

y/4 = 0.75

multiply both sides by 4

y/4 * 4 = 0.75 * 4

y = 4(0.75)

y =  3 teaspoon of baking soda

Answer:

110,000

Step-by-step explanation:

since it covered 11,000 square miles at a rate of 0.10 miles per hour

11,000 /0.10=110000

Answer:

Equal to

Step-by-step explanation:

I hope this helped

3 thousandths: 0.003

2 hundreths: 0.02

0.003+0.02= 0.023

Answer:

14 and 21 is the answer

Step-by-step explanation:

Hope it is helpful for you

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and mark me as a brainest

Answer:

[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

[tex] \sf{2x + 3x = 35}[/tex]

Solve for x.

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]

Divide both side by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 7}}[/tex]

The value of x is 7.

Now, replacing the value of x in order to find the two numbers :

[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]

[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

Answer:

18x+24 is the answer

Step-by-step explanation:

Answer:

f(x)= x + 5

Step-by-step explanation:

The easiest way to find this is by plugging the values for x and f(x) into each equation until you find one where all number fit.

Answer:

No

Step-by-step explanation:

333/106 is actually an irrational number, because it can not be written as a simple fraction.

Answer: Yes it is rational

Any rational number is of the form p/q where p, q are integers. The value of q cannot be 0.

In this case, p = 333 and q = 106.

Answer:

25x+5=25x-7.

25x-25x=-7-5.

= -12.

Answer:

No solution.

Step-by-step explanation:

[tex]5(5x+1)=25x-7\\\\25x+5=25x-7\\\\25x+5-5=25x-7-5\\\\25x=25x-12\\\\25x-25x=25x-25x-12\\\\\boxed{0\neq-12}[/tex]

Hope this helps.

Answer:

PT = 32

Step-by-step explanation:

From the question, we are told that:

T is the midpoint of PQ

This means:

PT = TQ

PT=3x+8 and TQ = 5x-8

Step 1

We solve for x

3x + 8 = 5x - 8

Collect like terms

8 + 8 = 5x - 3x

16 = 2x

x = 16/2

x = 8

Step 2

We can solve for PT now

PT=3x+8

x = 8

PT = 3×8 + 8

PT = 24 + 8

PT = 32

Therefore, PT = 32

Answer:

Taking square-root of numbers

Step-by-step explanation:

The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.

Answer:

Finding the area of a circle

Step-by-step explanation:

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

Answer:

11

Step-by-step explanation:

I took map test