The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room?

Answer:

[tex]7\sqrt{6}[/tex]

Step-by-step explanation:

You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.

We can also check this.

[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35

[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8

[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15

7.35+9.8 = 17.15

Hope this helped!

Answer:

17.15

Step-by-step explanation:

[tex]3\sqrt{6}[/tex]

Square root of 6 is about 2.45

2.45 * 3 = 7.35

[tex]4\sqrt{6}[/tex],

Square root of 6 is about 2.45,

2.45*4 = 9.8

7.35 + 9.8 = 17.15

Answer:

4 socks.

Step-by-step explanation:

There are three different colors of socks in the drawer: black, gray and orange.

The worst possible scenario for making a pair would be getting a different color of sock with the first three picks (1 black, 1 gray, 1 orange). Since we now have one of each, the next sock drawn from the drawer will form a pair with one of our three socks. Therefore, the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed is 4.

Answer:

The answer is

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } [/tex]

Since they have the same base and are dividing we can use the rules of indices

That's

subtract the exponents

So we have

[tex] {x}^{ \frac{5}{6} - \frac{1}{6} } [/tex]

[tex] {x}^{ \frac{4}{6} } [/tex]

[tex] = {x}^{ \frac{2}{3} } [/tex]

Rewriting it in radical form

We have the final answer as

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Hope this helps you

Answer:

Choice A

Step-by-step explanation:

First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]

Answer:

m^5/ 162 n

Step-by-step explanation:

( 3 m^-2 n) ^-3 / (6mn^-2)

We know a^ -b = 1/ a^b

1 / ( 3 m^-2 n) ^3 *(6mn^-2)

Distribute the power of 3

1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)

We know a^ b^ c = a^ ( b*c)

1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)

1 / ( 27 m^( -6) n^3) * ( 6m n^-2)

We know a^b * a^c = a^ ( b+c)

1 / ( 27*6 m^( -6+1) n^(3-2))

1/ (162 m^ -5 n^1)

We know a^ -b = 1/ a^b

m^5/ 162 n

Answer:

hello :

Step-by-step explanation:

x(x+3)(x+3)=0  means : x=0 or x+3=0 or x+3=0

x=0 or x=-3 or x=3

The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12

Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.

The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).

Answer:

fx/gx=10

Step-by-step explanation:

fx= (36x5)-(44x4)-(28x3)

fx=80

gx= 4x2

gx=8

To work out fx/gx:

fx/gx=80/8

fx/gx=10

Answer:

90 degrees

Step-by-step explanation:

given:

ABCD~EFGH

mB=mBCD=90

mBAD=128

find mFGH

this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees

Answer:

15w - 10x + 30.

Step-by-step explanation:

-5(2x - 3w - 6)

= (-5 * 2x) + (-5 * -3w) + (-5 * -6)

= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

Answer:

Step-by-step explanation:

[tex] - 5(2x - 3w - 6)[/tex]

Multiply each term in the parentheses by -5

[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]

[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x + 15w - 5 \times ( - 6)[/tex]

Multiply the numbers

[tex] - 10x + 15w + 30[/tex]

Hope this helps..

Best regards!!

Answer

Point b is (0,0) Point a is (3,-2) Im not doing the second part

Step-by-step explanation:

Complete question:

Container x contained 1200g of sand. Container y contained 7.2kg of sand. After as equal amount of sand was removed from each container, Container Ynow has 7 times as much as sand as container x. How much sand was removed from each container?

Answer: the mass of sand removed from both containers is 0.2kg

Step-by-step explanation:

Given that:

Mass of sand in container X = 1200g = 1.2kg

Mass of and in container Y = 7.2kg

Equal amount of sand was removed from both.

Let the mass of sand removed from both containers = z

That is;

Container X = 1.2 - z

Container Y = 7.2 -z

Now container Y has become 7times the content in container X

Container Y = 7 * (container X)

7.2 -z = 7(1.2 - z)

7.2 - z = 8.4 -7z

-z + 7z = 8.4 - 7.2

6z = 1.2

z = 0.2

Therefore, the mass of sand removed from both containers is 0.2kg

Answer:

5 years

Step-by-step explanation:

Firstly, Let's use a function to find how much Jenny owes every year.

Using f(t)=3,000(1.18)^t

We can find the amount of money jenny owes every year.

Now let's try to find how many years it would take her to double her credit card debt.

If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.

Answer:

1/4 is the answer

Step-by-step explanation:

I am not sure how to explain but the answer is 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

m = -6

Step-by-step explanation:

3m = 2(m - 3)​

Distribute

3m = 2m - 6

Subtract 2m from each side

3m -2m = 2m-2m -6

m = -6

Answer:

[tex]\boxed{\red{m = - 6}}[/tex]

Step-by-step explanation:

[tex]3m = 2(m - 3) \\ 3m = 2m - 6 \\ 3m - 2m = - 6 \\ m = - 6[/tex]

Answer:

B. [tex]H(x)=-.008(x-82)^{2}+83[/tex]

Step-by-step explanation:

Well lets graph the following equation first,

H(x) = -.011(x - 82)^2 + 75

Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

B.

The black line goes higher and farther,

meaning it is correct.

C.

The red line goes farther but not higher.

So it is incorrect

D.

Again the blue line does not go farther of higher.

So its wrong.

Thus,

answer choice B. [tex]H(x)=-.008(x-82)^{2}+83[/tex] is correct.

Hope this helps :)

Answer:

hello, friend(✿◡‿◡)

Step-by-step explanation:

-7Q + 6 + 5Q = 15 - 7

Q=-1

3 (P+5) + P = 3(2+P)

P=-3

2(A+4) + 6A = 2(2 + 3A)

A=-2

Answer:

[tex]\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to use the distributive property which means that for a, b and c real numbers a(b+c)=ab+ac

So here we can write

[tex]x(x+1)=72\\<=> x*x+x*1=72\\<=> x^2 + x -72 = 0\\[/tex]

do not hesitate if you have any question

Answer:

1

Step-by-step explanation:

Both equations are linear, and they do not have an equivalent slope, therefore they MUST intercept each other once and only once.

Answer:

213

Step-by-step explanation:

1285 students -7 students travel : 1278

1287 students / 6 buses= 1278/6=213

213 students

Answer:

a. 170

b. −25

c. -25

d. 75√3 (Decimal: 129.903811)

Answer: 6 - 5

Step-by-step explanation:

|z - 6| - |z - 5|    ; z < 5

Since z < 5, then

|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 6) =  -z + 6

|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:  

-(z - 5) = -z + 5

Now subtract them without the absolute value signs:

-z + 6 - (-z + 5)

Distribute the negative sign:

-z + 6 + z - 5

-z + z = 0 which leaves:

6 - 5

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5)

now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

Hey mate!

Here is your ans!

A box plot displays the accuracy and dispays the range and distribution of the data along the number line which majes it easier to study and get the accurate answers.

Hope it helped.. If yes mark me BRAINLIEST and follow me too!

Answer:

When comparing two sets of data, a box plot can show whether either set of data is symmetric. If the data are symmetric, then the mean equals the median. If the data are not symmetric, then the median will be a better measure of center than the mean.

Step-by-step explanation:

Sample response on edge :>

Answer:

Option A 25 ft is the correct answer.

Step-by-step explanation:

Given that:

One square corral at a stable has an area 625 [tex]ft^2[/tex].

And one side corral is along a barn.

To find:

How much of a barn's wall is used for the edge of corral?

Solution:

First of all, kindly refer to the attached figure to have a better understanding of the given dimensions and situation.

Given that Corral is square shape with Area, A = 625 [tex]ft^2[/tex]

Formula for area of a square is given as:

[tex]A = Edge^2[/tex]

Putting the value of A as given to find the Edge:

[tex]625 = Edge^2\\\Rightarrow Edge^2 =25 \times 25\\\Rightarrow Edge = 25\ ft[/tex]

It is given that one side of Corral is along a barn.

So, barn's wall used for the edge of corral = 25 ft

Option A 25 ft is the correct answer.

Answer: A 25ft I did it on edge and got it correct and please do as brainlest and have a good day.

Answer:

B

Step-by-step explanation:

B is the correct answer

2+i/5= i=5 +=-

have a nice day

Answer:

[tex]\boxed{\sf B) \ 2-i}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2+i}{5}[/tex]

Reciprocal the fraction.

Switch the denominator with the numerator.

[tex]\sf \frac{5}{2+i }[/tex]

Multiply the numerator and the denominator with the conjugate [tex]\sf 2-i[/tex].

[tex]\sf \frac{5(2-i)}{(2+i)(2-i)}[/tex]

[tex]\sf \frac{10-5i}{(2+i)(2-i)}[/tex]

Apply rule to solve for the denominator:

[tex]\sf (a+bi)(a-bi)=a^2 +b^2[/tex]

[tex]\sf a=2\\b=1[/tex]

[tex]\sf \frac{10-5i}{2^2 +1^2 }[/tex]

[tex]\sf \frac{10-5i}{4+1}[/tex]

[tex]\sf \frac{10-5i}{5}[/tex]

Simplify the fraction.

[tex]\sf \frac{10}{5}-\frac{5i}{5}[/tex]

[tex]\sf 2-i[/tex]

Answer: $1841.38 .

Step-by-step explanation:

Given, the equation [tex]y=4.65(1.37)^x[/tex] fits the graph of stock XYZ over the past month with an r=value of 0.9894.

At x= 19,

[tex]y=4.65(1.37)^{19}\\\\\Rightarrow\ y=4.65(395.9960)\\\\\Rightarrow\ y=1841.38[/tex]

Hence, At x= 19 days , the worth of XYZ will be $1841.38 .

Answer:

35 graduates from university A had income below $20,000

Step-by-step explanation:

Directly from the data shown (see attached image) we see that 35 graduates from university A have income below $20,000

Answer:

x = 15, y = 4

Step-by-step explanation:

By Basic proportionality theorem, we have:

x/ 5 = 18/6

x = (18*5)/6

x = 90/6

x = 15

Again By Basic proportionality theorem, we have:

12/y = 18/6

y = (12*6)/18

y = 72/18

y = 4

Answer:

[tex]f(5)=17[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2[/tex]

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=15+2[/tex]

[tex]f(5)=17[/tex]

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5)+ 2

f(5) = 15 + 2

f(5) = 17

Answer:

m∠P: 52 degrees.

m∠Q: 128 degrees.

Step-by-step explanation:

In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.

This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.

(2w - 62) + (w + 71) = 180

2w + w - 62 + 71 = 180

3w + 9 = 180

3w = 171

w = 57

Now that we have the value of w, we can find the m∠P and m∠Q!

m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees

m∠Q: (57 + 71) = 128 degrees

To make sure we are right...

128 + 52 = 180

Hope this helps!