A small triangular lot has three sides of different length. The second side is 11 feet longer than the first side. The third side is 8 feet less than twice the first side. The perimeter of the lot is 71 feet. How long is the third side?
A) 28 ft
B) 38 ft
C) 17ft
D) 26ft

Answer:

(2 × 9j) + (2 × 5)    AND     18j + 10  

Step-by-step explanation:

=> 2(9j+5)

Applying distributive property to expand the brackets

=> (2 × 9j) + (2 × 5)         ←  1st Expression

=> 18j + 10                       ← 2nd Expression

Answer: There is one solution, -20

Step-by-step explanation:

[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]

There is one solution, -20

Hope it helps <3

Answer:

Step-by-step explanation:

Solution,

[tex] - 6(x + 7) = - 4x - 2[/tex]

Distribute -6 through the parentheses

[tex] - 6x - 42 = - 4x - 2[/tex]

Move variable to L.H.S and change its sign

[tex] - 6x + 4x - 42 = - 2[/tex]

Move constant to R.H.S and change its sign

[tex] - 6x + 4x = - 2 + 42[/tex]

Collect like terms

[tex] - 2x = - 2 + 42[/tex]

Calculate the sum

[tex] - 2 x = 40[/tex]

Divide both sides of the equation by - 2

[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]

Calculate

[tex] x = - 20[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

0

Step-by-step explanation:

To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.

Answer:

Let 16-4y=0

Substracting 16 on both sides

16-16-4y=-16

-4y=-16

4y=16

y=4

Rebutting the value of y

=16-4(4)

=16-16

=0

Step-by-step explanation:

I hope this will help you :)

Answer:

m∠K = 69°

Step-by-step explanation:

"When two tangents or secants intersect outside the circle, exterior angle formed between the tangents of secants is one half the difference of major and minor arcs"

By this theorem,

m(∠K) = [tex]\frac{1}{2}[m(\widehat{LBJ}-m(\widehat{LJ})][/tex]

Here, [tex]m(\widehat{LBJ})[/tex] = 249°

[tex]m(\widehat{LJ})[/tex] = 360° - 249°

          = 111°

m∠K = [tex]\frac{1}{2}(249-111)[/tex]

        = [tex]\frac{138}{2}[/tex]

        = 69°

Therefore, measure of angle K = 69° will be the answer.

Answer:

Im pretty sure its D- 123

Step-by-step explanation:

Edg 2020

Answer:

The correct option is;

pH = 4.1

Step-by-step explanation:

The given information are;

The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]

The pH of a solution = -㏒{H⁺] =  -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1

The pH of the of the tomato juice = 4.1

The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.

Answer:

√0.08¹² = 0.08⁶

Answer:

[tex]0.08^6[/tex]

Step-by-step explanation:

[tex]\sqrt{0.08^{12}}[/tex]

The square root can be written as an exponent.

[tex]0.08^{12 \times 1/2}[/tex]

Multiply the exponents.

[tex]0.08^6[/tex]

Answer:

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]

Answer:

4 ( x-1)^2

Step-by-step explanation:

4x^2 − 8x + 4.

Factor out the greatest common factor

4( x^2 -2x+1)

Factor inside the terms

4( x-1) (x-1)

4 ( x-1)^2

Answer:

4(x-1)(x-1)

4(x^2-2x+1) C

Step-by-step explanation:

4x^2 − 8x + 4 common factor 4

4(x^2-2x+1)

4(x-1)(x-1) or (4x-4)(x-1)

Answer:

-1/8

Step-by-step explanation:

(-1/2)(-1/2)(-1/2)=-1/8

Answer:

solution,

[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]

hope this helps...

Good luck on your assignment

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

Answer:

[tex]\frac{\pi }{2}[/tex]

Step-by-step explanation:

Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then

central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle

central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]

Answer:

B. [tex]\frac{\pi }{2}[/tex] radians

Step-by-step explanation:

Edge 2021

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer:

Infinitely many solutions.

Step-by-step explanation:

y = -6x + 2

Add 6x to both sides

6x + y = 2

-12x - 2y = -4

Divide each term by -2

6x + y = 2

Since both equations are actually exactly the same, this linear system will have infinitely many solutions.

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

2x = 8

Divide both sides by 2.

x = 8/2

x = 4

The value of x in the equation is 4.

Answer:

1:12:4

Step-by-step explanation:

Let's say that George's age is x. That means that Alex's age would be x+12

Since Carl is 3 times older, Carl would be 3(x+12)

We put all those in the equation and get this:

x+ x+12 + 3(x+12)=68

2x+12+3x+36=68

5x+48=68

5x=20

x=4

George is 4 years old, Alex is 16, and Carl is 48

Divide every age by 4 to find the ratio

In order of George, Carl, and Alex:

1:12:4

Answer:

1 : 12 : 4.

Step-by-step explanation:

Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.

Alex is 12 years older than George, which means that a = g + 12.

Carl is three times older than Alex, which means that c = 3a.

The sum of the ages is 68, meaning that a + g + c = 68.

Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.

That way, we can put it all together...

(g + 12) + g + (3g + 36) = 68

g + g + 3g + 12 + 36 = 68

5g + 48 = 68

5g = 20

g = 4

Now that we have George's age, we can calculate the others!

a = g + 12

a = 4 + 12

a = 16

Now that we have Alex's age, we can calculate Carl's!

c = 3a

c = 3 * 16

c = 48

To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!

The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.

4 : 48 : 16

To simplify, divide all three numbers by 4.

1 : 12 : 4.

You can no longer simplify, so there is your answer!

Hope this helps!

Answer:

D

Step-by-step explanation:

If I estmaite the answer from 81% to 80%, then 80*2=160. 160/2=80. 80% to 81 percent.

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

Hope this helps you...

Answer:

£3.96

Step-by-step explanation:

Data obtained from the question include:

Isaac's ratio = 2

Victoria's ratio = 5

Total ratio = 2 + 5 = 7

Amount Victoria recieve = £6.60.

Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:

Let T be the total amount of money shared.

Victoria received = £6.60

Victoria's share =

Victoria's ratio/total ratio x total amount

£6.60 = 5/7 x T

£6.60 = 5T/7

Cross multiply

5T = £6.60 x 7

5T = £46.2

Divide both side by 5

T = £46.2/5

T = £9.24

Therefore, the total amount shared is £9.24.

Next, we shall determine the amount received by Isaac. This is illustrated below:

Victoria's share = £6.60

Total amount shared = £9.24.

Isaac's share =?

Isaac's share = Total amount shared – Victoria's share

Isaac's share = £9.24 – £6.60

Isaac's share = £2.64

Therefore, Isaac received £2.64

Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:

Victoria recieve = £6.60

Isaac receive = £2.64

Difference = £6.60 – £2.64

Difference = £3.96

Therefore, the difference in the amount received by Victoria and Isaac is £3.96

Answer:

The object would be a Parabola

Step-by-step explanation:

The mathematical object which represent the given situation is the parabola.

Given that, you want path 2 to be equidistant from the crocodile river and the habitat you chose.

What is a parabola?

In mathematics, a parabola is a plane curve which is mirror-symmetrical and approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.

Therefore, the mathematical object to represent the given situation is the parabola.

To learn more about the parabola visit:

https://brainly.com/question/21685473.

#SPJ5

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

Answer:

6A) i) 5 and 3 product is 15

ii) (-5) and (-3) product is 15

6B. The product of 5·i and 3·i is -15

6C. When two or more real factors are multiplied and they have the same sign, the product is positive

Step-by-step explanation:

6A. To examples that support Francisco's statement are;

Given the factors that have the same sign;

i) 5 and 3 both positive

ii) (-5) and (-3) both negative

The products of each of the two factors are therefore;

5 × 3 = 15 (Positive product)

(-5) × (-3) = 15 (Positive product)

6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;

5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15

Therefore;

5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim

6C. Francisco could rewrite his statement as follows;

When two or more real factors are multiplied and they have the same sign, the product is positive

To make it always true.

RU is a diameter, so the two equations make half a circle which is 180 degrees.

24x+5 + 10x+5 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34

X= 5

RS= UV

RS = 10x +5

Replace x with 5

RS = 10(5) + 5 = 55

Answers:

X = 5

RS = 55

Answer:

0.08, 4, 0.12

Step-by-step explanation:

0.08, 4, 0.12

Answer:

?=3

Step-by-step explanation:

a= 3/5 b - 7

Answer:

the number that should be in the green box is 3

Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..

7 less than three fifths of b is a gives 3/5b-7=a

Answer:

1

Step-by-step explanation:

Factors of 9 are:

1, 3, 9

Factors of 20 are:

1, 2, 5, 10, 20

The greatest common factor is 1.

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.

Answer:

The width (side perpedicular to the wall of the werehouse):  x = 30 m

The lenght (side parallel to the wall of the werehouse):  y = 60 m

Step-by-step explanation:

x - the width of the fenced area

Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:

y = 120 - 2x

Area of the fencing:  A = x•y

A(x) = x•(120 - 2x)

A(x) = -2x² + 120x              ←  quadratic function

The maximum value of quadratic function occurs at:  [tex]x=-\frac b{2a}[/tex]

a = -2     b = 120

[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]

y = 120 - 2•30 = 60