find the equation of perpendicular bisector of the lines with the given word (1,2) and (5,4) ​

Answer:

x=-4

Step-by-step explanation:

Multiply both sides by 50 and you get

3-x =7,

so x= -4

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.

Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ =  3 × 2 × 1 = 6 ways.

So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

Learn more about permutations here:

https://brainly.com/question/12974932

Answer:

60 ways

Step-by-step explanation:

So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized

3,0,0

0,3,0

0,0,3

2,1,0

2,0,1

1,2,0

1,0,2

0,2,1

0,1,2

1,1,1

So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60

Answer:

3

Step-by-step explanation:

Answer:

It's true, if that's what your asking.

Step-by-step explanation:

5/6 = 0.833 to 3 sig.fig.

4/5 = 0.800 to 3 sig.fig.

6/7 = 0.857 to 3 sig.fig.

0.833 is more than 0.800 and less than 0.857.

Answer:

y = 1/3x - 19/3

Step-by-step explanation:

3y = x -3

y = 1/3x -3

Slope = 1/3

Point= (1,-6)

y-intercept = -6 - (1/3)(1) = -6 - 1/3 = -19/3

[tex]x = - \frac{2}{5} \\ x = \frac{1}{2} \\ \\ \\ hope \: \: it \: \: helps \: \\ \\ see \: \: the \: \: attachment[/tex]

Answer:

28125

Step-by-step explanation:

300÷20=15

15×1875=28125

9514 1404 393

Answer:

  6.39×10²³

Step-by-step explanation:

There are 23 digits to the right of the most significant digit (6), so it is in the number place with a place value of 10²³. The number in scientific notation is ...

  6.39×10²³ . . . . kg

1. C because 3×3=9

9×3=27

27×3=81.....

2. Answer is C explaination in picture number 2

3. D explaination in picture number 1

Answer:

6x(x+2xy+y^2)

Step-by-step explanation:

Malcom Davis earnings is an illustration of equations and proportions.

Let the profit be P, and the gross income be G.

So, we have:

[tex]\mathbf{P= G - 100000}[/tex]

(a) The equations

For plan A, we have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income

For plan B, we have:

[tex]\mathbf{B = \frac{1}{60}P}[/tex]  ----1/90 of the company's profit

When both are the same, we have:

[tex]\mathbf{A= B}[/tex]

This gives

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]

Substitute [tex]\mathbf{P= G - 100000}[/tex]

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

(b) Solve the equation in (a), and intepret

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Cross multiply

[tex]\mathbf{60G = 90G - 9000 000}[/tex]

Collect like terms

[tex]\mathbf{90G - 60G = 9000 000}[/tex]

[tex]\mathbf{30G = 9000 000}[/tex]

Divide both sides by 30

[tex]\mathbf{G = 3000 00}[/tex]

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex]

Substitute [tex]\mathbf{G = 3000 00}[/tex]

[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]

[tex]\mathbf{A = 3333.33}[/tex]

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

Read more about equations at:

https://brainly.com/question/20893366

Answer:

Your answer is  x [tex]\geq[/tex] 77

Step-by-step explanation:

[tex]\frac{x}{7} \geq 8+3[/tex]

[tex]\frac{x}{7} \geq 11[/tex]

[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]

[tex]x \geq 77[/tex]

Hope this helps!

Answer:

Simply substract 0.39 from 0.54 = 0.15

Therefore the carpenter is left with 0.5 metre of wood.

9514 1404 393

Answer:

  1400 in 2020

Step-by-step explanation:

The number of students is increasing by 100 each year, so in 3 more years, the number will be 1100 +3×100 = 1400 students in 2020.

The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.

Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])

∴ for a line segments with endpoints (4,-7) and (12, -1),

 Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])

                = ( [¹/₂ (16)] , [¹/₂(-8)])

                = (8, -4)  (OPTION A)

Hello macelynn190!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \tt \frac{5 - 2(a + 3b)}{2} [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.

Given,

Now, substitute this in the place of 'a' & 'b'..

[tex]\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}[/tex]

Lastly, simplify it...

[tex]\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Given info:-

Simplify: 5-2(a+3b)/2. When a=4 and b=1.

[5-2(a+3b)]/2

Now, put a=4 and b=1 (Because this is given in question only)

so,

⇛[5-2{4+3(1)}]/2

⇛[5-2{4+3}]/2

⇛[5-2{7}]/2

⇛[5-2×7]/2

⇛[5-14]/2

⇛-9/2 Ans.

Similar questions:

Evaluate -[-1⅘ ÷ 0.3(1.2)] - 5/6

https://brainly.com/question/25291603

Applying the points given, it is found that the growth rate of the exponential function is:

c. 50%

An exponential function has the following format:

[tex]y = a(1 + r)^x[/tex]

In which:

In this problem:

[tex]y = a(1 + r)^x[/tex]

[tex]75 = 15(1 + r)^4[/tex]

[tex](1 + r)^4 = 5[/tex]

[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]

[tex]1 + r = 1.4953[/tex]

[tex]r = 1.4953 - 1[/tex]

[tex]r = 0.4953[/tex]

Thus, approximately 50%, option c.

A similar problem is given at https://brainly.com/question/23416643

Answer:

50% is the correct answer

Step-by-step explanation:

I took the test.

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

[tex]\sqrt{(c^{2})} = \sqrt{37.21 + 112.36}[/tex]

c = 12.2 mi

Therefore, the value of the hypotenuse is:  x = 12.2 mi

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi✔

Answer:

y = 1/2x -4

Step-by-step explanation:

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

2x-4y = 16

Subtract 2x from each side

2x-4y-2x = -2x+16

-4y =-2x+16

Divide each side by -4

-4y/-4 = -2x/-4 +16/-4

y = 1/2x -4

The slope is 1/2 and the y intercept is -4

Answer:

5)3/2

6) 7

7)16

8)13

9)27

10)17

Step-by-step explanation:

5) 4x+3=10x-1

x=3/2

6)9x-25=38

x=7

7)5x-7=

Answer:

5

Step-by-step explanation:

if the triangles are congruent then the side lengths must be equal:

JL=PM

PN=LK

NM=JK and

4y + 12 = 32 subtract 12 from both sides

4y = 20 divide both sides by 4

y = 5

Answer:

x = 16

Step-by-step explanation:

m<B+m<C+m<D = 180°

5x + 14 + x + 19 + 2x + 19 = 180

8x + 52 = 180

8x = 180 - 52

x = 128/8

x = 16

The answer is x = 88

Answer:

4500 gr

Step-by-step explanation:

4.5 kg equals some number (n) times one gram.  Solve this for n:

4.5 kg = n(1 gr)

Recall that 1 kg = 1000 gr.  Because of this, the equation above becomes

        4.5 kg          (4.5)(1000 gr)

n = --------------- or ------------------- or 4500 gr

       1000 gr                     1 gr

Answer:

x = -4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 5 from both sides.

Step 3: Divide both sides by -7.

Step 4: Check if solution is correct.

Therefore, x = -4.

Answer:

tip total = $25.13

total(bill+tip) = $114.88