Hanna esta comprando una alfombra para su sala, que tiene un area de 216 pies cuadrados y es un 50% mas larga que ancha. ¿Cuales son las dimensiones de la sala?​

Step-by-step explanation:

[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x (x+7)}{\cancel{(x-3)}}\times {\dfrac {(x-9)\cancel{(x-3)}}{8x^2 (x+7)}}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x\cancel{(x+7)}}{x-3}\times {\dfrac {x-9}{8x^2 \cancel{(x+7)}}}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac{2x (x-9)}{8x^2}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {\cancel{2x}^2-18x}{\cancel{8x}^2}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {18x}{4}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {9x}{2}[/tex]

[tex]\qquad\quad {:}\leadsto\sf 4.5x [/tex]

Answer:

both of the people above me are wrong, its

22/33=4/6

Step-by-step explanation:

(22/33)=(4/6) is the following equations are not a proportion. Option B is correct.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

The two numbers in ratio in numerator and denominator is divided by the same number and obtained as the whole number as;

[tex]\rm \frac{a}{b} = \frac{2 \times a}{2 \times b}[/tex]

(22/33)=(4/6) is the following equations are not a proportion.

Hence, option B is correct.

To learn more about the ratio, refer to the link;

https://brainly.com/question/14335762

#SPJ2

Answer:

D. 12) 25.68 = 2.14

Step-by-step explanation:

Given :

Divisor = 1.2

Dividend = 2.568

We can make the divisor a whole number by multiplying the divisor by 10,

i.e. Divisor = 1.2 x 10 = 12

Similarly , dividend = 2.568 x 10 = 25.68

Therefore,

         2.14            

 12 | 25.68

  (-)  24                        

           16

      (-) 12                      

             48

      (-)  48                

             0

Hence the answer is 2.14

Answer:

The answer is A.

Step-by-step explanation:

(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1

Answer:

A.

Step-by-step explanation:

Edge 2021

Answer:

y=0

Step-by-step explanation:

So you would do -4(6y-3) and divide that by -4

then you would do 12 and divide that by -4

or

You could do

-6y-3 which equals -3

then

add three to both sides like this -6y-3+3=-3+3

then simplify it to -6y=0

then divide -6y over -6 and 0 over -6

then it will simplify to 0

Answer:

Step-by-step explanation:

1

find the amount of tax

2

find the amount of the tip

3

find the total cost by adding the cost of the meal, the tax, and the tip

RESULT

56.70

Answer:

0.25

Step-by-step explanation:

cos(2A) + cos(2A) cot(2A) = cot(2A)

cos(2A) + cos(2A) cot(2A) - cot(2A) = 0

cot(2A) sin(2A) + cos(2A) cot(2A) - cot(2A) = 0

cot(2A) (sin(2A) + cos(2A) - 1) = 0

cot(2A) = 0   or   sin(2A) + cos(2A) - 1 = 0

cot(2A) = 0   or   sin(2A) + cos(2A) = 1

cot(2A) = 0   or   sin(2A) cos(π/4) + cos(2A) sin(π/4) = 1/√2

cot(2A) = 0   or   sin(2A + π/4) = 1/√2

[2A = cot⁻¹(0) + nπ]   or

[2A + π/4 = sin⁻¹(1/√2) + 2nπ   or   2A + π/4 = π - sin⁻¹(1/√2) + 2nπ]

(where n is any integer)

[2A = π/2 + nπ]   or

[2A + π/4 = π/4 + 2nπ   or   2A + π/4 = 3π/4 + 2nπ]

[A = π/4 + nπ/2]   or

[2A = 2nπ   or   2A = π/2 + 2nπ]

[A = π/4 + nπ/2]   or

[A = nπ   or   A = π/4 + nπ]

A = (1 + 2n) π/4   or   A = nπ   or   A = π/4 + nπ

Answer:

a) y=5000e^{0.099t}

b) 11.097 hours

Step-by-step explanation:

a

Many systems exhibit exponential growth. These systems follow a model of the form [tex]y=ae^{kt}[/tex], where a represents the initial state of the system and k is a positive constant, called the growth constant.

So we have our value of which represents the initial state of the system, which is 5000.

We need to calculate k.

Now,

It says he doubling time of a population of bacteria is 7 hours there are 5000 present initially, which means at 0 hours there were 5000 bacteria (initially means at t = 0, and then after 7 hours it doubled so it became 10,000 at 07:00 hours then at 14:00 it became 20,000 and then at 21:00 it became 40,000 this is the doubling time. So to calculate the value of k we can use this data, lets take 10,000 bacteria at 07:00 hours and put in our equation.

[tex]y=ae^{kt} \\y=5000e^{kt}[/tex]

value of a is 5000 which was the initial value now we need the value of y which is the total amount of bacteria after t hours. So after 7 hours we have a total of 10,000 bacteria so our value of t becomes 7 and value of y becomes 10,000.

[tex]10000=5000e^{7k}[/tex]

[tex]2=e^{7k} \\[/tex]

Apply natural logarithm on both sides

[tex]ln2=lne^{7k}[/tex]

Ln e becomes 1 as we all know so we write 7k as it is.

[tex]ln2=7k[/tex]

[tex]k=\frac{ln2}{7} \\k=0.099[/tex]

Now our equation is

[tex]y=5000e^{0.099t}[/tex]

we can confirm this by inserting time t as 7 , 14 , 21 , 28 , 35  and we will get the exact bacteria we need which is y 10,000 , 20,000 , 40,000 , 80,000 , 160,000, respectively.

b)

It says how long will it take the population to triple which means the triple of 5000 is 15,000 and we set that to the value of y which is the amount of bacteria, and calculate t.

[tex]y=5000e^{0.099t} \\\\15000=5000e^{0.099t} \\\\3=e^{0.099t} \\ln3=lne^{0.099t} \\\\ln3=0.099t\\\\t=\frac{ln3}{0.099} \\\\t=11.097[/tex]

Which means it would take 11.097 hours for bacteria of 5000 to triple in size.

Answer:

A. 3, 7, 9, 10, 12

Step-by-step explanation:

All of these numbers as x are less than 14.

Hope it helps!

Answer:

I think it's 64, I'm not sure but I hope this helps

Step-by-step explanation:

IT'S NOT 64!! The real answer is 45%

Answer:

Option C and D

Step-by-step explanation:

For a quadratic function having no x-intercepts the discriminant should be less than 0 .

[tex]D=b^2-4ac[/tex]

Now if this is less than zero if we plug in the values of a, b and c the square root of a negative number cannot be calculated thus giving us no real x-intercepts.

[tex]x=-b+-\frac{\sqrt{b^2-4ac} }{2a} \\\\x=-b+-\frac{\sqrt{D} }{2a}[/tex]

Here we can see that if we the value of D is less than zero the square would not be possible thus our correct choices are ,

Option C and D

Answer:

it would be 9/10.

Step-by-step explanation:

Answer:Alexia swam  7,560meters in 2 weeks

Step-by-step explanation:

Step 1

7 days = 1 week

therefore 2 weeks = 7 x 2 = 14 days

Step 2

Each day  Alexia swam =  0.54 kilometres

So in 14 days( 2 weeks) She swam = 14 x 0.54 km= 7.56km

Answer is needed in meters

so 1000 m = 1km

Therefore 7.56 km = 7.56km x 1000=7,560meters

Answer:

your answer is 2!

Step-by-step explanation:

you have to make it an improper fraction once you do you get 2!

brainliest please>

Answer:

2

Step-by-step explanation:

8/10 = 0.8

5/2 = 2.5

0.8 x 2.5 = 2

Answer: the line is intercepting with 4 if that's what you're asking

Step-by-step explanation:

Answer:

1 bag

Step-by-step explanation:

because the other ones are more expensive

Answer:

14.625

Step-by-step explanation:

Answer: 14.625

Step-by-step explanation: can i have brainliest?

Answer:

The value is 20.

Step-by-step explanation:

To solve this equation, you must use the method of PEMDAS.  In this order, you should multiply 8 by 2 first to get 16 for the first part of your answer.  Your equation should now be 7 + 16 - 6 + 3.  You can now solve this equation from left to right manually.  Add 16 from 7 to get 23, subtract 6 from that number to get 17 and add 3 to get your final answer which is 20.

Answer:

27 :)

Step-by-step explanation:

7+8=15

15x2=30

30-6=24

24+3=27

Answer:

7 minutes

Step-by-step explanation:

When Jay and Kevin work together to clear the driveway of snow it takes an average of 14 minutes. If Jay or Kevin works alone to clear the driveway he can clean it in 21 minutes. In total if Jay works alone then he can clean the driveway by spending additional 7 minutes.

Answer:

21

Step-by-step explanation:

Answer:

1)=-80 | 2)=8,9,10 | 3)=12

Step-by-step explanation:

-80*3/4=-60

8+9+10=27

12*2-4=20

I hope this helps

Answer:

30

Step-by-step explanation:

80% of 30 is 24 (u can use a calculator if you would like to check the answer but it is 30)

Answer: 30 games

Step-by-step explanation:

24 game won 6 game loss and 80%

Answer:

15 + 5i

Step-by-step explanation:

[tex](8+5i) + (10+6i)-(3+6i) \\ \\ = 8 + 5i + 10 + 6i - 3 - 6i \\ \\ =( 8 + 10 - 3 )+ (5i + 6i - 6i )\\ \\ = 15 + 5i[/tex]

Answer:

The train travels at 66 miles per hour.

Step-by-step explanation:

Given that:

Time taken by train = 8 hours

Distance covered by train in 8 hours = 528 miles

Unit rate is defined by the distance travelled by train in one hour.

Therefore, we will divide the total time taken by train to distance covered by train in that time.

Unit rate = [tex]\frac{Distance\ travelled}{Time\ taken}[/tex]

Unit rate = [tex]\frac{528}{8}[/tex]

Unit rate = 66 miles per hour

Hence,

The train travels at 66 miles per hour.

Answer:

negative twelve

Step-by-step explanation:

the slope is -1, so one must go down as the other goes up. since the x value has increased by 3, the y value must decrease by three

Answer:

5

Step-by-step explanation:

.......................

Answer:

sorry but their is no picture its black...

Answer:

Option D is correct

Step-by-step explanation:

For this question we would need the equation of line since this is a multiple choice question you wouldn't have enough time to find out the equation so we need to be FAST

If we see all the four options at first glance option C or option D seem correct because the line represents a rise in values of x and y respectively, which means x increases with respect to y. So the slope/gradient in other words m should be positive so option A and B are ruled out because the equation of line is written as

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept so seeing the graph our equation of line should be

[tex]y=mx-2[/tex]

where b = -2 because value of b corresponds to y-intercept which means the where the graph intersects the y-axis in this case its -2

where m is positive in this case 5 thus

[tex]y=5x-2[/tex]

if we try to rearrange the four choices option C and D give us the above equation and option A and B give us

[tex]y=-5x+2[/tex]

which is wrong !

Now, regarding the inequality sign the graph represents

[tex]y=5x-2[/tex]

and the area which is shaded in blue is the region lower the line which means it should be

[tex]y\leq 5x-2[/tex]

in this case its D if we rearrange it

I have two images so you understand it better visually

As you can see in both forms are shaded region is the same so option D is correct