Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?​

Answer:

Step-by-step explanation:

A i think

9x + 18 = 6(x + 3) + 3x = 3(3x + 6)

3x + 15 = 3(2x + 5) - 3x = x + 2x + 15

Answer:

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Step-by-step explanation:

Given - The matrices are -

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

To find - Arrange the matrices in increasing order of their determinant values.

Proof -

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is

= (2)(4) - (6)(3)

= 8 - 18

= -10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  = -10

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is

= (-2)(9) - (-7)(5)

= -18 + 35

= 17

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is

= (6)(-8) - (6)(5)

= -48 - 30

= -78

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  = -78

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is

= (2)(-5) - (4)(5)

= -10 - 20

= -30

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is

= (2)(4) - (5)(-2)

= 8 + 10

= 18

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is

= (4)(2) - (-3)(5)

= 8 + 15

= 23

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]  = 23

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is

= (3)(6) - (2)(4)

= 18 - 8

= 10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]  = 10

Now,

Increasing order of Determinant is -

-78 < -30 < -10 < 10 < 17 < 18 < 23

So,

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Answer:

Correct on Edmentum

Step-by-step explanation:

Answer:

area of lawn = 15.708 square meters

Step-by-step explanation:

pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn

Answer:

84.03380995252074

Step-by-step explanation:

Diameter = C/π = 264 / π ≈ 264 / 3.141592653589793 ≈ 84.03380995252074 cm

Answer:

t=4/3 or 3/4

Step-by-step explanation:

12t^2-25t+12=0

(3t-4)(4t-3)=0

3t-4=0 or 4t-3=0

t=4/3 or t=3/4

Answer:

19x2-7

mark me brainliestt :))

Answer:

25 km

Step-by-step explanation:

[tex]\frac{5}{25} :\frac{y}{125}[/tex]

y · 25 = 5 · 125

25y = 625

25y ÷ 25 = 625 ÷ 25

y = 25

Answer:

x = 3

Step-by-step explanation:

Two triangles are similar

x/(x+3) = 4/8 cross multiply expressions

8x = 4x + 12

8x - 4x = 12

4x = 12 divide both sides by 4

x = 3

Answer:

the answer is B!

Step-by-step explanation:

i just took the exam!! i came here looking for an answer but decided to try it on my own since i couldnt find one.

Answer:

Obtuse.

Step-by-step explanation:

If we have a vector v = (a, b, c)

The magnitude of the vector is:

|v| = √(a^2 + b^2 + c^2)

And the dot product of two vectors:

v = (a, b, c)

w = (c, d, e)

is:

v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e

With that relation, we can find the angle between the two vectors.

In this case, we have:

v = ⟨−1,0,1⟩

then:

|v| = √( (-1)^2 + 0^2 + 1^2) = √2

And:

w = ⟨4,5,2⟩

then:

|w| = √( 4^2 + 5^2 +2^2) = √116

Then:

v.w = (√2)*(√116)*cos(θ) =  (-1)*(4) + 0*5 + 1*2

(√2)*(√116)*cos(θ) = -4 + 2 = -2

(15.23)*cos(θ) = -2

cos(θ) = -2/15.23

θ = Acos( -2/15.23) = 97.5°

Then the angle is larger than 90°, so the angle is obtuse.

Answer: The slope between these two is 3.5

Answer:

Solpe=4.5

Step-by-step explanation:

Sorry if I’m wrong, but I think I got it.

So the formula for slope is    y2-y1/x2-x1  

In (-3,-2) )-7,-16),  -3 is x1, -2 is y1, -7 is x2, and -16 is y2.

Now, you need to fill in the formula with these numbers.

-16-2/-7- - 3

-16-2 is -18

-7- - 3 is -4 (two negatives make a positive)

This makes -18/-4. Divide this to get 4.5.

Let me know if you have any questions!! :)

Answer:

[tex]8x\sqrt{5x}[/tex]yz

Step-by-step explanation:

before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]

Here is your answer ^^

----------------------------------

C≈25.13cm

Explanation:

C=2πr

d=2r

Solving for C:

C=πd=π·8≈25.13274cm

-------------------------------------

Anyways bye! <3

Answer:

464 dollars.

Step-by-step explanation:

Step-by-step explanation:

20/100x580

11600/100

=116

therefore, 580-116 equal 464

Sally take home salary will be $464

[tex]456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83[/tex]

Answer:

The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"

Step-by-step explanation:

For point a:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF

Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]

Calculating the terms  [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]

Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]

Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]

[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]

Calculating the difference of squares

[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]

substituting

[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]

For point b:

Calculating the difference of squares:

[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]

Answer:

x+26=37

Step-by-step explanation:

Answer:

2 and 6, 1 and 5, 3 and 7, 4 and 8

Step-by-step explanation:

Any one of those would work

Answer: <1 and <5

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: 94.3 meters

Step-by-step explanation:

Answer:

1680 ways

Step-by-step explanation:

By using the formula for permutation, which is nPr=n!/(n-r)!,

8P4=8!/(8-4)!

=8!/4!

=8×7×6×5

=1680

Or if you just want to use the multiplication rule (which is simpler).

8×7×6×5=1680

Answer:

im pretty sure its  

1680

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00

The inequality to describe the total amount Samantha saves is s > 15.

The correct option is (A).

Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.

As per the given data:

We are given that Samantha saves at least 10% of her monthly salary.

Samantha is earning $150 each month for a year.

To find the amount Samantha at least saves in a month:

= 10% of her monthly salary

= 10% × 150

= 10/100 × 150

= 15 dollars

As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:

savings > 15

The inequality to describe the total amount Samantha saves is s > 15.

Hence, The inequality to describe the total amount Samantha saves is

s > 15.

Learn more about Inequality here:

brainly.com/question/30231190

#SPJ2

(The given question is incomplete, the complete question is given below)

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!

Step-by-step explanation:

The answer is 7/10. I hope this helps you, have a good day!

Answer:

Step-by-step explanation:

49/70 = 7/10