Identifying the Independent and Dependent Variable
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c.
in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
The
v is the independent variable.
The
is the dependent variable.​

Answer:

-9

Step-by-step explanation:

8x + 1 = -71

8x = -72

x = -9

Answer:

x = -9.

Step-by-step explanation:

8x + 1 = -71    Subtract 1 from both sides:

8x + 1 - 1 = -71 - 1

8x = -72

x = -72/8

x = -9.

Answer:

As per BODMAS rule: 3 x 5 x 7 + 7 = 105 + 7 = 112. 112 is an even number and is therefore a composite number

Step-by-step explanation:

you need to do BODMAS so

3 x 5 x 7 = 105

then add 7 so there for 112

112 is an even number and therefore a composite number

Answer: yes

Step-by-step explanation: A translation is a transformation that slides a figure to a new position.

So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.

So, this represents a translation.

Answer:

3x^2+12x+12

Step-by-step explanation:

i think you just sub in x+2 into 3x^2

Answer:

1. A

2. B

3. B

Step-by-step explanation:

1. 180+57-94= 29

2. 4x + 7 + 97 + 180 - 17x - 13 = 180

-13x = -91

x = 7

3. 180 - 64-38 = 78

180-78 =. 102

Answer:

A) 29°

B) 7°

B) 102°

Step-by-step explanation:

1. ------------------------

2.  ------------------------

3.  ------------------------

Answer:

2.88449914

Step-by-step explanation:

Answer:

El recolector recoge un total diario de 50 kilogramos.

Step-by-step explanation:

(The following problem is written in Spanish and for such reason explanation will be held in the same language)

La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:

[tex]m = n \cdot m_{unit}[/tex]

[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]

[tex]m = 50\,kg[/tex]

El recolector recoge un total diario de 50 kilogramos.

Answer:

Infinitely many solutions

Step-by-step explanation:

Since you already have y isolated in one equation, you can plug it in and use it in the other equation

2y = 8x + 12

2(4x + 6) = 8x + 12

8x + 12 = 8x + 12

Get the x's to one side

12 = 12

Meaning you have infinitely many solutions.

Try plugging in any x value you can think of and the left side will always equal the right side. so

x = 0 --> 8(0) + 12 = 8(0) + 12

12 =12

x = 1 --> 8(1) + 12 = 8(1) + 12

20 = 20

and so on.

I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

Answer:

Point Q is further from A than point P, therefore, they are not the same point

Step-by-step explanation:

The given information are;

Point P partitions the directed segment from A → B into the ratio of 1:3

Point Q partitions the directed segment from B → A into the ratio of 1:3

We note that the properties of a directed segment are that it has a length and direction with a defined starting or initial point.

Hence the two segments when arranged in the same direction are;

A B and B A

Hence point P is at a the point 1/(1 + 3) or 1/4 of AB or 1/4 times the length of AB from A

Point Q is at a the point  1/4 of B/A or 1/4 times the length of AB from B which is 3/4 times the length of AB from A

Therefore, point Q is further from A than point P which means they are not the same point.

Answer:

No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.

Step-by-step explanation:

Answer:

the first one, v < 1 23/25

Step-by-step explanation:

multiply both sides by 6 and divide by 5

v < 48/25, or v < 1 23/25

Answer:

v < 1 23/25

Step-by-step explanation:

5/6 v < 8/5

Multiply each side by 6/5

6/5*5/6 v < 8/5*6/5

v < 48/25

Rewrite as a mixed number

v < 1 23/25

Answer:

1232

Step-by-step explanation:

13/91= 176/x

1/7=176/x

x= 176*7

x= 1232 bass

Answer:

37

Step-by-step explanation:

If this is a regular hexagon, the sides have the same length

3y +19 = 6y+1

Subtract 3y from each side

3y+19-3y = 6y-3y+1

19 = 3y+1

Subtract 1 from each side

19-1 = 3y+1-1

18 = 3y

Divide each side by 3

18/3 = 3y/3

6 =y

ST = 6y+1

     =6*6+1

     =36+1

     = 37

Answer:

37 units

Step-by-step explanation:

sides are equal

3y+19=6y+1

3y= 18

y= 6

3y+19= 3*6+19= 37

QR=ST= 37 units

Answer:

[tex]y = \frac{5}{2} x^{2}[/tex]

Step-by-step explanation:

When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.

For example, say you have  [tex]y = 8x^{2}[/tex]. That means that  [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.

I hope this helps!

Answer:

x = ±11

Step-by-step explanation:

x^2 = 121

Take the square root of each side

sqrt(x^2) = ±sqrt(121)

x = ±11

Answer:

[tex]\frac{130}{n}[/tex]

Step-by-step explanation:

Each friend would get [tex]\frac{130}{n}[/tex] sand dollars.

As they would get an equal proportion based on the population size.

Answer:

m<B = 44

Step-by-step explanation:

Since AB is a diameter, then angle C is a right angle.

That makes angles A and B complementary angles.

m<A + m<B = 90

46 + m<B = 90

m<B = 44

Answer:

B = 44

Step-by-step explanation:

The sum of the angles of a triangle is 180

A + B+ C = 180

<C = 90 since it is 1/2 of the intercepted arc which is 180

46+ B + 90 = 180

136 + B = 180

B = 180-136

B =44

Answer:

[tex] = 3 {a}^{4} [/tex]

Step-by-step explanation:

[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is 3a^4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

x= -9/4 or -3

second one is x=5/6 or -8

Answer:

see explanation

Step-by-step explanation:

Given

4x² + 21x + 27 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × 27 = 108 and sum = 21

The factors are 12 and 9

Use the factors to split the x- term

4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )

4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(4x + 9) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25

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

Following the same method as the previous question

Given

6x² + 43x - 40 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 40 = - 240 and sum = + 43

The factors are + 48 and - 5, thus

6x² + 48x - 5x - 40 = 0

6x(x + 8) - 5(x + 8) = 0

(x + 8)(6x - 5) = 0

x + 8 = 0 ⇒ x = - 8

6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

9

Step-by-step explanation:

There are nine angles in a nonagon.

Answer:

355.94 cm2

Step-by-step explanation:

if it is the area of the shaded part, you have to find the area of rectangle and the area of the circle, then subtract the rectangle's area from the circle's.

area of circle = 3.14( i used this π because the radius is not divisible by 7) × 11 × 11 = 379.94.

area of rectangle = 6 × 4 = 24cm

379.94 - 24.00 = 355.94cm2.

Answer:

1 A

2 A

Step-by-step explanation:

1. steps can be positive whole numbers only

2. there is 15 steps

Answer:

-2/3

Step-by-step explanation:

Perpendicular slopes have lines that multiply to -1

m* 3/2 = -1

Multiply each side by 2/3

m* 3/2 * 2/3 = -1 * 2/3

m = -2/3

The slope of the perpendicular line is -2/3

Answer:

The answer is B

I use an online graphing calculator called Desmos. You should check it out some time :)

Answer:

C = 40 + 0.17M

Step-by-step explanation:

Total monthly charge = Fixed base fee + charge per minute*total number of minutes

C = 40 + 0.17*M

C = 40 + 0.17M

Answer: 12 child tickets

Step-by-step explanation:

We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.

Equation 1

5.25x+3.05y=498.6

This equation comes from the cost of tickets.

Equation 2

x+y=100

This equation comes from the number of tickets.

We can use elimination method to solve for y.

5.25x+3.05y=498.6

5.25x+5.25y=525

Now, we can subtract the equations for x to cancel out and to solve for y.

-2.2y=-26.4

y=12

Answer:

D. 160

Step-by-step explanation:

This question asks us to find f(8). Essentially, this asks us to find out what y is when x is equal to 8. In terms of this problem, how many minutes does he practice after 8 days.

We are given the equation:

y=20x

We want to find f(8). Therefore, we must substitute 8 in for x.

y=20(8)

Multiply 20 and 8

y=160

Therefore, f(8) is 160 and D is the correct answer. This means that after 8 days, Emilio practices for 160 minutes.

Answer:

160

Step-by-step explanation:

Answer:

Step-by-step explanation

Cluster- a group of points that close together

symmetry- data is balanced on opposite sides of  a point or line

spread- how close or far apart the values are in  a data set

center- the middle of a data set

gap- a space between data values

Answer:

y = 1 + x/2

x = -2 + y

Step-by-step explanation:

Theres no question here so i just solved for x and y.

Step-by-step explanation:

y=1x/2+1