2. Describe ALL of the key features​

Answer:

4=11

$19.25=15

30=$38.75

Answer:

Step-by-step explanation:

ΔABE ~ ΔACD

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]

Cross multiply,

2*(9+x) = 3*9

2*9 + 2*x = 27

18 + 2x = 27

       2x = 27 - 18

       2x = 9

          x = 9/2

x = 4.5

Answer:

12%

Step-by-step explanation:

You subtract 336 from 300 which will give you 36, then you divide 36 by 300 and you will get .12 which is 12%

Answer:

y= (2/3)-(1/2)

= (4-3)/6

= 1/6

=> A

Step-by-step explanation:

Answer:120

Step-by-step explanation:120 x 5 =6.000=6000

A proportional relationship has a constant rate of change.

The given statement is true.

Step-by-step explanation:

A proportional relationship has a constant rate of change. We need to tell if this statement is true or false

A proportional relationship is given by equation:

where y is dependent variable while x is independent variable and k is constant of proportionality

The constant of proportionality is constant for all the values of y and x.

So, A proportional relationship has a constant rate of change.

The given statement is true.

The constant of proportionality (k) tells you how steep the graph of a proportional relationship is TRUE.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's consider a proportional relationship

y∝ x

y = kx

k = y/x

Now the value of y directly depends on upone k.

So, changing k will change the steepness of the line.

Hence "The constant of proportionality (k) tells you how steep the graph of a proportional relationship is TRUE".

For more information about ratios and proportions,

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Answer:

y = 8

Step-by-step explanation:

y = x + 5

Next : Plug in 3 for x (because x = 3)

y = 3 + 5

y = 8

Hope this helps!

Answer: 4 packages

Step-by-step explanation: the greatest common factor of 20 and 16 is 4.

Answer:

$0.95

Step-by-step explanation:

Since it cost $2.85 for 3 pounds of apples, dividing 2.85 by 3 will give us one pound of apples.

2.85/3 = $0.95

Hope this helps! Please comment if it does or not. :)

Answer: Is 6

Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?

12

Hope it helps!!!!!!!

Answer:

x = 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

4x+2=(2)(x)+(2)(6)(Distribute)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]

Result:

x = 5

Answer and Step-by-step explanation:

This equation is linear because the slope is changing at a constant rate.

Write in standard form:

Standard form on an equation is written like so: Ax + By = C

First combine the y-values.

12x = -3y

Now add 3y to both sides of the equation.

12x + 3y = 0   <-- This is the answer (equation) in standard form.

#teamseas #PAW (Plant And Water)

I hope this helps!

a) The linear system as a matrix equation in the form AX= B as

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

b) The solution set is {x = 2, y = -4, z = -2}.

Given that A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex],

To find the matrix equation in the form AX = B, multiply both sides of the equation by A⁻¹:

A⁻¹(A⁻¹X) = A⁻¹B

X = A⁻¹B

Therefore, the linear system as a matrix equation in the form AX = B is:

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

2. The given system of equations can be represented as:

                                    A = [tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex]

                                    X  = [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]

                                    B = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Using the given inverse of A:

A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]

Multiply A⁻¹ by B to solve for X:

[tex]X = A^{(-1)} B[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]   = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]  [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Performing the matrix multiplication:

|  x  | =  | (-1)(0) + (1)(-2) + (1)(4)|   |  2  |

|  y  | = | (-2)(0) + (3)(-2) + (2)(4)|  | -4  |

|  z  |   | (2)(0) + (-2)(-2) + (-1)(4)|   | -2  |

Therefore, the solution set is {x = 2, y = -4, z = -2}.

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Answer:

(-5, 3)

Step-by-step explanation:

x = -5

-5x - 10y = -5

Subsitute for x = -5

-5(-5) - 10y = -5

25 - 10y = -5

subtract 25 from both sides

-10y = -30

divide both sides by -10

y = 3

Answer:

Step-by-step explanation:

101 degrees

Answer:

15%

Step-by-step explanation:

Answer:

If we substitute a and b to equal 6 for example

it would be

√

6

2

+

6

2

it would equal 8.5(1.d.p) as it would be written as

√

36

+

36

giving a standard form as

√

72

However if it was

√

6

2

+

√

6

2

it would equal 12 as the

√

and

^

2

would cancel out to give the equation 6+6

Therefore

√

a

2

+

b

2

cannot be simplified unless given a substitution for a and b.

I hope this isn't too confusing.

Step-by-step explanation:

Step-by-step explanation:

1.75×13

=22.75

that means You can afford 13 pencils

Answer:

They intersect 4 times.

Step-by-step explanation:

When graphed, the first equation is a circle with a center resting at (0,0)

The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)

Answer:

22 boxes

5 cookies left

Step-by-step explanation:

135 / 6 = 22.5

Lucy will have 3 cookies left over that won't fit into any full boxes. To find how many full boxes Lucy will have, we can divide the total number of cookies (135) by the number of cookies in each box (6).

Number of full boxes = Total number of cookies / Number of cookies in each box

Number of full boxes = 135 cookies / 6 cookies per box

Number of full boxes = 22.5

Since Lucy cannot have a fraction of a box, she will have 22 full boxes of gingerbread cookies.

To find how many cookies she will have left over, we can find the remainder after dividing the total number of cookies by the number of cookies in each box.

Number of cookies left over = Total number of cookies % Number of cookies in each box

Number of cookies left over = 135 cookies % 6 cookies per box

Number of cookies left over = 3

To know more about cookies:

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Answer:

11

Step-by-step explanation:

to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11

=121, the answer is 11

Answer:

11 in.

Step-by-step explanation:

The canvas has the shape of a square.

The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.

You are given the area. You need to find the side.

The area is the square of the side, so the side is the square root of the area.

side = √area

side = √(121 in.²)

side = 11 in.

Answer:

48/3=18

Step-by-step explanation:

It looks like there's a list of answers missing, but any answer that most simply shows that 48 can be divided by 3 would be right (the answer is an example).

Answer:

1:15

Step-by-step explanation:

4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)

Step-by-step explanation:

sum of three angles in a triangle is 180

55+35+x=180

90+x=180

x=180-90

x=90

Answer:

96-26=70 books she bought at the yard sale

Answer:

70/10 = 7

70/7 = 10

10-7 = 3

There are 3 more teams would the counselor make if he divides the students into teams of 7.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

There are 70 students at a summer camp.

A counselor divides the students into teams of 10.

Let x be the total number of members in the final team:

For the first division = 70/10 = 7

= 70/7 = 10

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

x = 10 - 7 = 3

Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.

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Answer:

– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9

Step-by-step explanation:

(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)

(18q5 – 17q3 + 9 – 15q6) +2q3 + q2 - 13q4

18q5 – 17q3 + 9 – 15q6 +2q3 + q2 - 13q4

18q5 - 15q3 – 15q6 + q2 - 13q4 + 9

– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9

Answer:

For every 3 dollars donated, one puppy is adopted

Step-by-step explanation:

so rise would be money, run would be number of puppies adopted