solve the compound inequality

Answer:

el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

width is 8 meters and length is 3*8= 24 meters

Step-by-step explanation:

Spanish

Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.

Entonces el área = largo * ancho

área = 3x * x = 3x²

3 multiplicado por área = 9x²

9x² = (3x + 40) (x + 1)

9x² = 3x² + 3x + 40x +40

9x² = 3x² + 43x +40

0 = -6x² + 43x +40

0 = 6x²- 43x - 40

6x²- 43x - 40 = 0

Usando ecuación cuadrática

a = 6, b = -43, c- = -40

x = - b ± √b²- 4ac / 2a

x = 43 ± √1849- 4 (6) (- 40) / 12

x = 43 ± √1849 + 960/12

x = 43 ± 53/12

x = 43+ 53/12 y x = 43-53 / 12

x = 96/12 y x = -10/12

x = 8 y x = - 5/6

Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

English

The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled

If the width of the house of the house is x then the length of the house is 3x.

Then the area = length * breadth

area= 3x*x= 3x²

3 times area= 9x²

9x²= (3x+40 )(x+1)

9x²= 3x²+ 3x +40x +40

9x²= 3x²+ 43x  +40

0 = -6x²+ 43x  +40

0 = 6x²- 43x - 40

6x²- 43x - 40= 0

Using quadratic equation

a= 6 , b= -43 , c-= -40

x= - b±√b²- 4ac/ 2a

x= 43±√1849- 4(6)(-40)/ 12

x= 43±√1849+960/ 12

x= 43± 53/ 12

x= 43+ 53/ 12  and x= 43- 53/ 12

x= 96/ 12       and x= -10/ 12

x= 8    and x= - 5/6

Ignoring the negative value  x= 8  width is 8 meters and length is 3*8= 24 meters

Answer:

14

Step-by-step explanation:

14x5=70

70+11=81

√81=9

Answer:

6x+12y

Step-by-step explanation:

I hope this helps, and STAYYY!!!!!! Fresh!

Answer:

exponential

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

You can look at the values and see that they multiply by 1/4 each time. You can also plug the value into a graphing calculator.

Answer:

1.  10√3

2. -√5

3. 21√3 -9√5

4. 12√7-√11

5. 8√5-3(√5*√4) = 8√5- (3*2)√5= 2√5

6. √5*√4 -√5= 2√5-√5= √5

7. 3√5*√9 +√5*√4 -√49*√5 = 15√5+2√5-7√5= 10√5

8. √6*√4 - √6*√9 + √16*√6= 2√6-3√6+4√6= 3√6

Hope it helps you :)

Answer: £80

Step-by-step explanation:

First, we need to calculate the number of gallons used by Sally. This will be:

= 560 / 34.5

= 16.23 gallons

Since 1 gallon = 4.55 litres, we calculate the number of liters and this will be:

= 16.23 × 4.55

= 73.85 liters

Since Petrol cost £1.08 per litre, the cost of the petrol will be:

= £1.08 × 73.85

= ££79.758

= £80 approximately

Answer:

86ft²

Step-by-step explanation:

3x2/2=3

3x2/6=3

10x2.5=25

10x2.5=25

3x10=30

30+25+25+3+3=86

Answer:

Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.

Answer:

217

Step-by-step explanation:

1/2 * 12 * 7 = 42 this is one side of the pyramid

4x for all sides = 168

add the bottom which is just a square 7*7 = 49

168 + 49 = 217

Answer:

A

Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

x = 25

This means that the angles in the triangle are:

10, 145, and 25

Using this information, only A has the same values so it is the answer

Answer:

[tex]x = 42[/tex]

See attachment for number line (see that the dot is on 42)

Step-by-step explanation:

Given

[tex]x - 6 = 36[/tex]

Required

Plot x on a number line

First, we solve for x

[tex]x - 6 = 36[/tex]

Add 6 to both sides

[tex]x - 6 +6= 36+6[/tex]

[tex]x = 42[/tex]

See attachment for number line

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle [tex] (\theta) [/tex] = 2 radians

We need to find: radius of the circle (r)

[tex] \because S = r \theta [/tex]

[tex] \therefore 10 = r(2) [/tex]

[tex] \therefore r= \frac{10}{2} [/tex]

[tex] \therefore r= 5\: cm [/tex]

Answer:

36

Step-by-step explanation:

9x4=36

The 34th term of the sequence is 172

This is a type of sequence which have a common difference (d) between each term

From the question given above, the following data were:

T₃₄ = a + 33d

T₃₄ = 7 + (33×5)

T₃₄ = 7 + 165

T₃₄ = 172

Learn more about arithmetic sequence:

https://brainly.com/question/24873057

The 34th term of the sequence is 172

Given the sequence 7, 12, 17...

The nth term of the sequence is expressed as;

Given the following

a = 7

d = 12 - 7 = 5

n = 34

Substitute the given parameters

T34 = 7 + (34 - 1)*5

T34 = 7 + (33)*5

T34 = 172

Hence the 34th term of the sequence is 172

Learn more on sequence here: https://brainly.com/question/6561461

Answer:

82

Yes, that is the answer. Try it and you'll get it correct, I think...

Answer:

3 hours and 50 minutes

Step-by-step explanation:

Given that

Sarah drives for 1 hours and 40 minutes

And, rest for 25 minutes

And, then drive for another 1 hour & 45 minutes

We need to find out the total travel time in hours and minutes

First we convert into minutes i.e.

= 1 hour + 40 minutes + 25 minutes + 1 hours + 45 minutes

= 60 minutes + 40 minutes + 25 minutes + 60 minutes + 45 minutes

= 230 minutes

i.e.

3 hours and 50 minutes

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

Answer:

right and scalene

Step-by-step explanation:

all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.

Answer:

$830

Step-by-step explanation:

x/2=200+215

x/2=415    multiply by two on both sides to get x alone

x=830

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

Answer:24

Step-by-step explanation:

LxWxH = 4x2x3

4x2 = 8

8 x 3 = 24

Answer:

choice 3) acute and equilateral

Step-by-step explanation:

Answer:

N<-7 or (-∞,-7) hope this helps

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

Answer:

4410

Step-by-step explanation: