R is the midpoint of OP and QR is perpendicular to OP in the diagram below.

Find the length of QR.
17 in
0 24 in
0 16 in

Answer:

the original price is 545$

Step-by-step explanation:

299.75$ : 55$ = x : 100

55x = 299.75 x 100

55x : 29975

divide 29975 by 55 =

545

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

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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:

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:

This is the subtraction method

Y -3X = -10

(-Y -2x = -5)  -Y + 2X = 5

Y -3X = -10

-Y + 2X = 5

      -X = -5

X = 5  Now fill in the 5 for X and Y =  5

Answer:

x = 5, y = 5

or

(5, 5)

Step-by-step explanation:

they both equal y so they also equal each other.

3x - 10 = 2x - 5

3x - 2x = -5 + 10

x = 5

substitute x for 5

y = 3x - 10

y = 15 - 10

y = 5

edit, whops forgot to check

just plug the variables in with their values and see if it makes sense:

y = 2x - 5

5 = 2*5 - 5

5 = 10 - 5

5 = 5

since 5 does equal 5, the solution is correct.

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.

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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

Answer:

15 - 86

16 - 115

17 - 60

18 - 74

Step-by-step explanation:

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:

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:

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:

-5

Step-by-step explanation:

To find the perpendicular line, first rearrange this into slope intercept form.

y= mx + b

2x - 10y = 100

-10y = -2x +100

y = 1/5x - 10

The slope of a perpendicular line has a slope that is the receipt I’ll of and opposite of this line. The slope here is 1/5 so flip it and you have 5/1. It will also be negative since that slope was positive.

1/5 —> 5/1 —> -5

Answer

1729 in^2

Step-by-step explanation:

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

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:

£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:

B.

(づ￣ ³￣)づHave A nice day Cute Sir

Answer:

Step-by-step explanation:

160

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:

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:

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:

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

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

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

(hope this helps!)

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:

3.25

Step-by-step explanation:

Answer:

Y=-3X+5

Step-by-step explanation:

Answer: C

Step-by-step explanation:

6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12

Answer:

1. 15°

2.64°

3. 50°

4.38°

Step-by-step explanation:

Answer:

∠A = 62°

Step-by-step explanation:

∠ACB = 180 - 116 = 64°

∠A + ∠B + ∠C = 180°

(3x - 13) + (2x + 4) + 64 = 180°

3x + 2x - 13 + 4 + 64 = 180°

5x + 55 = 180°

5x = 180 - 55

5x = 125

x = 125/5

x = 25

∠A = 3x - 13

∠A = 3(25) - 13

∠A = 75 - 13

∠A = 62°

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:

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