Find the equation of the line that passes through each pair of points in y = mx + b form.
(-6, -19) and (2,5)

Answer:

Number of guests = 10

Step-by-step explanation:

Given that:

Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.

Let,

x be the number of guests.

A(x) = 15x + 100

B(x) = 20x + 50

For the cost to be equal;

A(x) = B(x)

15x + 100 = 20x + 50

100 - 50 = 20x - 15x

50 = 5x

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}\\x=10[/tex]

Hence,

Number of guests = 10

Answer: 13.2

Step-by-step explanation:

the ratio between the given measurements (11 and 5) is 2.2 [5 x 2.2 = 11]

so, i just multiplied 6 by 2.2 , which equals 13.2 .

hope this helps! xoxo

Answer:

13.2

Step-by-step explanation:

6x2.2=13.2 The triangles are equal and its size is increased by 2.2

Answer

1729 in^2

Step-by-step explanation:

48 in x 36 in= 1728 in^2. A=LxW

Answer:

1.5 as fraction it is  3/2 in simplest form

Step-by-step explanation:

The simplest form of the expression given is 3/2

A mathematical statement containing variables, numbers and connected by a mathematical operator is called an expression.

Given that, an expression  [tex]4\frac{1}{5}[/tex]  × [tex]\frac{5}{14}[/tex]

We are asked to simplify them,

[tex]4\frac{1}{5}[/tex]  × [tex]\frac{5}{14}[/tex]

= 21 / 5 × 5 / 14

= 21 / 14

= 3/2

Hence, the simplest form of the expression given is 3/2

Learn more about expressions, click;

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Answer:

180

Step-by-step explanation:

180 * .2 = 36

20% is the same thing as 1/5 of something, so read the question again,

"36 is 1/5 of what number?"

Multiply 36 by 5 to get 180

Double check yourself by finding 20% of 180

180 * .2 = 36

Hope this helped, queen!

Answer:

3

Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3

Answer:

12

Step-by-step explanation:

12/5 = 2.4

2.4(x)

if x = 5 then,

2.4(5) = 12

Answer:

12.5 or 25/2

Step-by-step explanation:

you do 30/12 get 2.5 then do 2.5 times 5 to get 12.5 or 25/2

Answer:

Because it doesn't form a triangle, it doesn't even form a shape in general, it only forms a linear line.

Step-by-step explanation:

Here is a picture down below so you can see what I mean. No triangle just a line

Answer:

V≈565.5cm³ is the answer

Answer:

1. 15°

2.64°

3. 50°

4.38°

Step-by-step explanation:

Answer:

2          1/2  

Step-by-step explanation:

The roots are located on a circle with a center at the origin and a radius of 4. The arguments of two successive roots differ by (1/2)π units along the circumference of a circle.

The circumference of a circle is defined as the product of the diameter of the circle and pi.

The 4th roots of 16[cos(π) + i sin(π)] are the 4th roots of -16i. These roots are located on a circle with a center at the origin and a radius of 4 because the 4th roots of a complex number are equally spaced on a circle with a radius equal to the absolute value of the complex number.

The arguments of two successive roots differ by π/2 units along the circumference of a circle. This is because there are 4 roots and the circle has a circumference of 2π, so each root is spaced 2π/4 = π/2 units apart along the circumference of the circle.

For example, the first root is located at (4, 0) on the complex plane, which corresponds to an argument of 0.

The second root is located at (0, 4) on the complex plane, which corresponds to an argument of π/2.

The third root is located at (-4, 0) on the complex plane, which corresponds to an argument of π.

The fourth root is located at (0, -4) on the complex plane, which corresponds to an argument of 3π/2.

Thus, you can see that the arguments of the roots differ by π/2 units.

To learn more about the roots of complex numbers click here:

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Answer:

x = 11

Step-by-step explanation:

3(x-5) = 18

Step one: Distrubute 3 to the numbers in the parenthesis.

3x - 15 = 18

Step two: Add 15 on both sides

3x = 33

Step three: Divide by 3 on both sides

x = 11

Answer:

i)    [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]

ii)   [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]

Step-by-step explanation:

Step(i):-

Given that    

                 [tex]cot 0 = \frac{28}{45} = \frac{adjacentside}{opposite side}[/tex]

Hypotenuse AC² = AB²+BC²

    ⇒             AC² = 45²+28² = 2809

   ⇒             AC = √2809

 ⇒              AC = 53

Hypotenuse  AC =53

Step(ii):-

i)    [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]

ii)   [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]

Answer:

A and D

Step-by-step explanation:

It should be Sx2 + 2(S+ 1/2)

Which is equal to 4s+1

and 2(2s + 1/2) is equal to 4s+1 as well

Answer:

3.25

Step-by-step explanation:

Answer:

$324.37

Step-by-step explanation:

First question already answered in other post.

Second Question:

Original price before discount and tax: $354

Discount: 15%

100% - 15% = 85% = 0.85

0.85 * $354 = $300.90

Tax: 7.8%

100% + 7.8% = 107.8% = 1.078

1.078 * $300.90 = $323.37

Answer: $324.37

Answer:

1

Step-by-step explanation:

I'm guessing it's 1x, but the first number is always the slope.

(hope this helps!)

Answer:

Non Proportional​

Step-by-step explanation:

Make a proportion:

For example say you want to test out how many bottles of water you can buy for $10

Proportion:

4 - 6

10 - ?

Solve: 10×6÷4=15

So technically, you could only get 15 bottles for $10. Therefore, this is a non proportional problem.

Answer:

Y=-3X+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm not sure about what the answer is for the last two questions. If somebody else does know please right it in the comment section. :)

Answer:

15 - 86

16 - 115

17 - 60

18 - 74

Step-by-step explanation:

Answer:

Step-by-step explanation:

disc.=b²-4ac=2²-4×1×5=4-20=-16<0

it has imaginary roots.

9514 1404 393

Answer:

  41.7 nautical miles

Step-by-step explanation:

It can help to draw yourself a diagram. It will show you the desired distance is the hypotenuse of a right triangle with side lengths 36 and 21. The Pythagorean theorem can be used to find the distance of interest.

  d² = 36² +21²

  d² = 1296 +441 = 1737

  d = √1737 ≈ 41.6773

The ship is about 41.7 nautical miles from the starting point.

Answer:

y=x^7+65x^4+64xu200b

Step-by-step explanation:

Answer:

£6

Step-by-step explanation:

300 g = .3 kg

We can use ratios to solve

.3 kg             1 kg

------------- = -----------

1.8                     x

Using cross products

.3x = 1 * 1.8

.3x = 1.8

Divide each side by .3

.3x/.3 = 1.8/.3

x =6

Answer:

1. 37/100

2. 2 2/5 or 12/5

3. 33/100

Step-by-step explanation:

Answer: 37/100.

2 2/5.

33/100

Step-by-step explanation:

I recommend using symbolab.com for further steps and calculator

Answer:

Yes, Lin is correct.

Step-by-step explanation:

23 is a prime number because it has only two distinct divisors: 1 and itself (23).

9514 1404 393

Answer:

  x = 3/2

Step-by-step explanation:

Multiply by 3 and solve the resulting 2-step equation.

  5 = (1/3)(2x +12)

  15 = 2x +12 . . . . . . multiply by 3

  3 = 2x . . . . . . . . . . subtract 12

  3/2 = x . . . . . . . . . . divide by 2