you are going on vacation and leaving your dog in a kennel. kennel a charges $25 per day which includes a one-time grooming treatment. kennel b charges $20 per day and a one-time fee of $30 for grooming. if your vacation is 7 days long, which kennel should you choose? explain.

Answer:

The first multiple of 7 = 14 or -21

The second multiple of 7 = 21 and -14

Step-by-step explanation:

Let

The first multiple of 7 = 7x

The second multiple of 7 = 7(x+1)

Square of the first multiple = (7x)^2

Square of second multiple = {7(x+1)}^2

Sum

(7x)^2 + 7(x+1)}^2 = 637

49x^2 + 49(x+1)^2 = 637

Divide through by 49

x^2 + (x+1) = 13

Open bracket

x^2 + x^2 + 1 + 2x = 13

Subtract 13 from both sides

x^2 + x^2 + 1 + 2x - 13 = 13 - 13

x^2 + x^2 + 1 + 2x - 13 = 0

2x^2 + 2x - 12 = 0

Divide through by 2

x^2 + x - 6 = 0

Solve the quadratic equation using factorization method

x^2 + 3x - 2x - 6 = 0

x(x+3) - 2(x+3) = 0

(x - 2) (x+3) = 0

x - 2 = 0

x = 2

x+3 = 0

x = -3

Substitute x = 2 or -3 into 7x

When x= 2

7(2) = 14

When x = -3

7(-3) = -21

The first multiple of 7 = 14 or -21

Substitute x = 2 or -3 into 7(x+1)

When x= 2

7(2+1) = 7(3) = 21

When x = -3

7(-3+1) = 7(-2) = -14

The second multiple of 7 = 21 and -14

Answer:

=18y+47

Step-by-step explanation:

Let's simplify step-by-step.

14y−(y−2)+5(y+9)

Distribute:

=14y+−y+2+(5)(y)+(5)(9)

=14y+−y+2+5y+45

Combine Like Terms:

=14y+−y+2+5y+45

=(14y+−y+5y)+(2+45)

=18y+47

Answer:

y = -2 11/18 or y = -2.6111 repeating

Step-by-step explanation:

14y -(y - 2) + 5(y + 9)

    Distribute the negative (-) to (y - 2)

    Distribute the five (5) to (y + 9)

14y -y + 2 + 5y + 45

    Combine like terms

18y + 47 = 0

       -47 = -47

18y = -47

18y/18 = -47/18

y = -2 11/18

Hope this helps! :)

Answer:

42/12

Step-by-step explanation:

3 1/2 in improper fraction form is 7/2. We can see the denominator in the equivalent fraction is 12. In order for that to happen, the common factor that must have been multiplied is 6. So the numerator of the equivalent fraction should be 42 because:

                         7            42

                       ___ =    ____

                         2            12

42/12

The answer is [tex]\frac{42}{12}[/tex]

First, you must simplify both sides if the equation.

[tex]\frac{7}{2}=\frac{x}{12}[/tex]

Then, multiply both sides by 12

[tex]42=x[/tex]

[tex]x=42[/tex]

Finally, substitute in 42 for x

[tex]3\frac{1}{2}=\frac{42}{12}[/tex]

Answer:

y = x + 5

Step-by-step explanation:

Find any two points:

(1, 6)

(2, 7)

Slope = (y2 - y1) / (x2 - x1)

S0:

7 - 6 / 2 - 1

1 / 1

So slope = 1

Equation:

y = mx + b

Plug in the numbers using the x and y of any points:

7 = m * 2 + b

Add m (which is the slope):

7 = 1 * 2 + b

7 = 2 + b

Subtract two from both sides:

5 = b

So our equation is:

y = x + 5

Please let me know if I've done anything wrong!

Answer:

y = x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = x + 5 ← equation of line

make two of this figure and keep one like that and rotate the other until they line up correctly an make a rectangle, then you will see the 30 degree angle is only half of the top square. since this is true, the top square= 60 degrees. y= 20   x= 40

Answer:

37 boxes

Step-by-step explanation:

you should try and write each of the steps into an equation of x. Where x is the boxes she started with

so, she had x boxes, she bought 7 (that's addition) and then half of those boxes (that's division) got destroyed in the fire and she has 22 left (that's your total).

you can write the equation like this:

(x+7)/2 = 22

then, you solve

(x+7) = 44

x = 37

she originally had 37 boxes

Angle 3 is 89 Degrees.

Angle 4 is 91 degrees.

Use Vertical Angles and the Triangle Theorems to help you/

Answer:

The third one

Step-by-step explanation:

Answer:

A = 10%   B = 50%   C=75%

Step-by-step explanation:

A is 1/10 that is 10%

B is 1/2 that is 50%

C is 3/4 that is 75%

Fractions and percentages can be useful together

Answer:

B

Step-by-step explanation:

It's not going negative you can tell by the line it has y-intercept and the last on didn't the other ones have aa negative. If you have a problem with these kinds of equations just do process of elimination and you'll be fine also here's the answer to another question

Answer:

D. Y=-3/2x-3

Step-by-step explanation:

(0,-3)

-3=-2/3(0)+b

-3=b

y=-3/2x+3 parallel slope is -3/2

Y=-3/2x-3

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

actual answe is root under 2

Answer: 28.

Step-by-step explanation:

Let's define D = # of marbles in Damon's bag at the beginning.

First, he gave D/2 + 2 marbles to Artemio, so now he has:

(D - D/2 - 2) = (D/2 - 2) marbles left.

Now, he gives 1/4 plus of what he has left plus 5 to Banou, so he gives:

(D/2 - 2)/4 + 5 marbles to Banou.

Then Damon has now:

(D/2 - 2) - (D/2 - 2)/4 - 5 = 3*(D/2 - 2)/4 - 5.

Now Damon gives half of this to Alex, then the amount that he has left is:

(3*(D/2 - 2)/4 - 5)/2

And we know that this is equal to 2, then we can solve this equation as:

(3*(D/2 - 2)/4 - 5)/2 = 2

Let's solve this for D.

(3*(D/2 - 2)/4 - 5) = 2*2 = 4.

3*(D/2 - 2)/4 = 4 + 5 = 9

3*(D/2 - 2) = 9*4 = 36

(D/2 - 2) = 36/3 = 12

D/2 = 12 + 2 = 14

D = 2*14 = 28

Damon initially had 28 marbles.

Answer:

-3

Step-by-step explanation:

19-13=6+1=7-14=-7+4=-3

The integer represents the price of a share at the end of the day will be negative 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The price of a share of stock started the day at $19. During the day it went down $13 up $1, down $14, and up $4.

Then the integer represents the price of a share at the end of the day will be

⇒ 19 - 13 + 1 - 14 + 4

⇒ -3

The integer represents the price of a share at the end of the day will be negative 3.

More about the Algebra link is given below.

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Answer: 260

Step-by-step explanation: 39/3 = 13. 13 times 20 = 260.

Answer:

y=-3/2x-2

Step-by-step explanation:

Answer:b

Step-by-step explanation:f(x)=|x|

Answer:

C

Step-by-step explanation:

D is moving +4 squares up to go to D'' and same goes for the rest of the letters . if it makes sense kinda confusing but trust it's C

Answer:

Option C: Line s

Step-by-step explanation:

Let's refer to plane H as being 2D since we are dealing with lines.

Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.

Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.

This means that line q and line t are parallel to each other.

Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.

Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t

Thus, it means lines r and s are both perpendicular to lines q and t

Now, we are told that line p goes through r and s.

However, we want to find which line is parallel to line r.

From earlier statement we saw that lines r and s are parallel to each other.

Thus; correct answer is "line s"

Answer:

C

Step-by-step explanation:

Just did quiz on edge

The correct value of x is 4.

It is required to find the solution.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The equation is

1 – (2x + 4) = –4x + 5,

we have to find the correct solution of the equation;

According to given question we have,

Step 1: Open the parenthesis we  get,

1 – (2x + 4) = –4x + 5

1-2x-4 = -4x + 5

1-4-2x = -4x +5

-3-2x = -4x + 5

Step 2: Collect like terms we  get,

-2x + 4x = 5 + 3

2x = 8

Step 3: divide both sides by 2 we  get,

2x/2 = 8/2

x = 4

Hence the correct value of x is 4.

Learn more details about algebra here:

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Answer:

[tex]=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{3+3} }{8x} \\\\\frac{1+3}{8} \\\\\frac{4}{8} \\\\\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

Option A is correct answer

Answer:

option A i believe is correct

Step-by-step explanation:

 hope that helps you :)

Answer:

see below

Step-by-step explanation:

y= 1/2x - 2

To find the x intercept, set y =0 and solve for x

0= 1/2x - 2

Add 2 to each side

2 = 1/2x -2+2

2 = 1/2x

Multiply by 2

2*2 = 1/2x *2

4 =x

The x intercept is 4

Answer:

all of these are rational numbers

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Or you could use desmos scientific calculator

Answer:

it's acually 107,800

Answer:

30,000 yes this is correct

Step-by-step explanation:

Answer:

a, R=P+C

b,$870

Step-by-step explanation:

a if P=R‒C.(to find R you have to know the opposite of ‒C) ( -C≠C)

then add C in two sides

(P+C=R‒C+C)

(P+C=R)

SO the formula is R=P+C

b the given are P=$350,C=$520

R=$350+$520

R=$870

i believe it helps you

Answer:

y=-5x+9

Step-by-step explanation:

Answer:

y=-5x+-9

Step-by-step explanation:

If you notice is says that the line HAS to go through (1,4) but if you need it to go through (-1,4) it would be y=-5x+-1