The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​

Answer:

That is  1/5.

Step-by-step explanation:

It is also 20%(if you need that too.)

Answer:

nobody

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-8 * (-2) - 4 * (6) =

16 - 24

0

f(1) = -2

g(4) = 6

Answer:

Step-by-step explanation:

Answer: Choice C)  [tex]x = 4\pm2\sqrt{10}[/tex]

This is the same as saying [tex]x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}[/tex]

=============================================================

Explanation:

First get everything to one side

x^2 + 13 = 8x + 37

x^2 + 13 - 8x - 37 = 0

x^2 - 8x - 24 = 0

Here we have a quadratic in the form ax^2+bx+c = 0

Note how a = 1, b = -8, c = -24

Those values are plugged into the quadratic formula below

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-8)\pm\sqrt{(-8)^2-4(1)(-24)}}{2(1)}\\\\x = \frac{8\pm\sqrt{160}}{2}\\\\x = \frac{8\pm\sqrt{16*10}}{2}\\\\x = \frac{8\pm\sqrt{16}*\sqrt{10}}{2}\\\\x = \frac{8\pm4*\sqrt{10}}{2}\\\\x = \frac{2(4\pm2\sqrt{10})}{2}\\\\x = 4\pm2\sqrt{10}[/tex]

This shows the answer is choice C.

The plus minus breaks down that equation these two solutions

[tex]x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}[/tex]

Answer:

Options (5) and (6)

Step-by-step explanation:

From the picture attached,

In right triangle ΔPSQ and ΔPSR,

PS ≅ PS [By reflexive property]

PQ ≅ PR [Given]

ΔPSQ ≅ ΔPSR [By HL property of congruence]

Therefore, QS ≅ SR [CPCTC]

(6n + 3) = (4n + 11)

6n - 4n = 11 - 3

2n = 8

n = 4

QS = (6n + 3)

     = 6×4 + 3

     = 27

SR = (4n + 11)

     = 4×4 + 11

     = 16 + 11

     = 27

QR = QS + SR

     = 27 + 27

     = 54

Therefore, Options (5) and (6) are the correct options.

9514 1404 393

Answer:

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (200-a) is the number of child tickets sold. The total revenue is ...

  8.50a +3.50(200 -a) = 1500

  5a = 800 . . . . . . . . . . . . . . . . . . . subtract 700 and collect terms

  a = 160

  (200-a) = 40

160 adults and 40 children paid to see the movie.

Answer:

160 adults and 40 children saw the movie on the first night.

Step-by-step explanation:

Total number of tickets sold = 200

Let the total number of adults be 'x'

So, Total number of children = 200 - x

Cost of adult tickets = $8.50

Cost of child tickets = $3.50

Total sum made on first night = $1,500

Total sum made on first night is equal to total cost of adult tickets + total cost of child tickets

[tex] \longrightarrow [/tex] 8.50x + 3.50(200 - x) = 1500

[tex] \longrightarrow [/tex] 8.5x + 700 - 3.5x = 1500

[tex] \longrightarrow [/tex] 8.5x - 3.5x = 1500 - 700

[tex] \longrightarrow [/tex] 5x = 800

[tex] \longrightarrow [/tex] x = [tex] \sf \dfrac{800}{5} [/tex]

[tex] \longrightarrow [/tex] x = 160

[tex] \therefore [/tex] Total number of adults = 160

Total number of children = 200 - 160 = 40

Answer:

The 1st choice

Step-by-step explanation:

Let a point is defined as P(a,b).

If a>0, then point is a units right from origin and if a<0, then then point is a units left from origin.

If b>0, then point is b units up from origin and if b<0, then then point is b units down from origin.

It is given that the location of the movie theater is at (2, −3).

In the given point a=2>0 and b=-3<0.

A coordinate grid with a point at 2 units to the right and 3 units down from the origin labeled movie theater.

Answer:

one or seven READ DESCRIPTION

Step-by-step explanation:

y =-3x. -9x-4y=21

-9x+12x=21

3x=21

3*7=21

if you didn't mean to do a double negative then it would be one, but otherwise it's seven

Answer:

one

Step-by-step explanation:

right on edge

Answer=

a= 2<h<3

b=2.2

a) The class interval that contains the median. is 1 ≤  h ≤ 2.

b) The mean number of hours is, 1.8 h

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. And, The median is the middle value in a list ordered from smallest to largest.

Now,

a) First find the median as,

Median = 30/2

           = 15

Now, 6 + 13 = 19 > 19

So, The class interval that contains the median be 1 ≤  h ≤ 2.

b) Let us take the middle of the range as the average;

⇒ (6 × (1 - 0)/2 + 13 × (2 + 1)/2 + 7 ×(2 + 3)/2 + 4 × (3 + 4)/2 ) / 30

⇒ (3 + 19.5 + 17.5 + 14) / 30

⇒ 54/30

⇒ 1.8 hours

So, The value of mean is 1.8.

Learn more about mean and median visit:

brainly.com/question/2018505

#SPJ2

Answer:

5,212.5 rupees

Step-by-step explanation:

If price of 1 kg is 104.25

multiply 50 by 104.25

equals 5,212.5 rupees

Answer:

5212.50 rupees

Step-by-step explanation:

We can use a ratio

1 kg             50 kg

-----------  = ---------------

104.25            x

Using cross products

1x = 50 * 104.25

x =5212.50 rupees

Answer:

yo thank you man your the best

Tysm have a good day :)

GOOD LUCK! NYAYAYAYAYA

Answer:

D

Step-by-step explanation:

Answer:

uhh what kinda symbols r those

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

To learn more about congruent triangles, click:

brainly.com/question/12413243

#SPJ7

Answer:

60%

Step-by-step explanation:

24/40=0.6

0.6=60%

Answer:

60

Step-by-step explanation:

24:40×100=

(24×100):40=

2400:24=60

Answer:

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.

pls answer pls pls

Answer:

A.12

Step-by-step explanation:

The reason is that 11/48 is equal to 0.2239..., so when you round that answer, it is closer to 12.

Answer:

37

Step-by-step explanation:

2(x-10)=54

2x-20=54

2x=74

x=37

Answer:

129

Step-by-step explanation:

google 15% off 860$ and which equals 731 and then do 860-731

Answer: true

Step-by-step explanation:

Answer:

Sylvia needs to work at least 19 hours.

Step-by-step explanation:

Inequality: 10x + 120 ≥ 310

Subtract 120 from both sides;

10x ≥ 190

Divide both sides by 10;

x ≥ 19

The function f(x) = x^2-1 when evaluated with 2, gives the value 3.

A function can then be defined as a set of ordered pairs. Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the given situation,

Stan evaluated a function with a value and got 3 as the result.

For this statement, we can frame many functions with different inputs.

Let us consider the function,

(1)  [tex]f(x)=2x-3[/tex]

Now substitute x = 3,

⇒ [tex]f(3)=2(3)-3[/tex]

⇒ [tex]f(3)=6-3\\[/tex]

⇒ [tex]f(3)=3[/tex]

(2) [tex]f(x)=x^{2} -1\\[/tex]

Now put x = 2,

⇒ [tex]f(2)=2^{2}-1[/tex]

⇒ [tex]f(2)=4-1[/tex]

⇒ [tex]f(2)=3[/tex]

Similarly we can make many functions that has the value 3 as the result.

Hence we can conclude that the function f(x) = x^2-1 when evaluated with 2, gives the value 3.

Learn more about functions here

https://brainly.com/question/2590944

#SPJ2

Answer:

1.11/39

Step-by-step explanation:

Given:

Principal amount = $3000

Rate of simple interest = 1.1%

To find:

The amount that the customer will earn in one year.

Solution:

Formula for simple interest is

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Substituting P=3000, r=0.011 and t=1, we get

[tex]I=3000\times 0.011\times 1[/tex]

[tex]I=33[/tex]

Therefore, the customer will earn $33 in one year.

Answer:

y= -5x-5

Step-by-step explanation:

Y is equal to 5 less than -5 times x, which means it is 5 less than -5x.

If y is 5 less than -5x, that means it is equal to -5x-5.

If you were to put that in an equation, it would be y= -5x-5

because it halves: 4 ----> 2 so the result also halves ( 1004:2=502 and 100:2=50 )

Answer:

p(2) = -9

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

p(x) = -2x³ + 4x - 1

p(2) is x = 2

Step 2: Solve