The sale price of a swimming pool after a 18.5% discount is $1092.10. Find the original list price of the pool.

Answer:

14x-4

Step-by-step explanation:

length:2x+3

width:5x-5

perimeter of rectangle:2(l+b)

:2(2x+3+5x-5)

:2(7x-2)

:14x-4

•••The perimeter of rectangle(p)=14x-4

Answer: Divide Kayak budget by rental rate

Step-by-step Explanation:

As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.

He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.

Budget available = $50

Rental rate = $15 per hour

Hours he can rent = 50/15

= 3.33 hours

Budget available = $50

Rental rate = $18 per hour

Hours he can rent = 50/18

= 2.78 hours

Answer:

- Decreasing  

Step-by-step explanation:

im not sure of the last two but the others are for sure a no

Answer:

31.8

Step-by-step explanation:

24.67x129

=>31.82

=>31.8

Answer:

The between the given vector and the positive direction of the x-axis is approximately 41.186º.

Step-by-step explanation:

Let be [tex]\vec u = 8\,i + 7\,j[/tex] and [tex]\vec v = i[/tex] (Positive direction of the x-axis), the angle between both vectors can be determined from definition of dot product:

[tex]\vec u \bullet \vec v = \|\vec u\|\cdot \|\vec v\| \cdot \cos \theta[/tex]

Angle is cleared:

[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex]

[tex]\theta = \cos^{-1}\left(\frac{\vec u \bullet \vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex]

The norms of [tex]\vec u[/tex] and [tex]\vec v[/tex] are found by Pythagorean Theorem:

[tex]\|\vec u\| = \sqrt{8^{2}+7^{2}}[/tex]

[tex]\|\vec u\| \approx \sqrt{113}[/tex]

[tex]\|\vec v\| = 1[/tex]

The dot product between both vectors is:

[tex]\vec u \bullet \vec v = (8)\cdot (1) + (6)\cdot (0)[/tex]

[tex]\vec u \bullet \vec v = 8[/tex]

The angle is now calculated:

[tex]\theta = \cos^{-1}\left(\frac{8}{\sqrt{113}} \right)[/tex]

[tex]\theta \approx 41.186^{\circ}[/tex]

The between the given vector and the positive direction of the x-axis is approximately 41.186º.

Answer:

m=4

best of luck!

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

6+4m-1=21

(6-1=) 5+4m=21

21-5=16

16÷4m = 4

Answer:

ffdfssss

Step-by-step explanation:

fdfdfdfd

Answer:

x is invalid.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, distribute -4 to all terms within the parenthesis:

-4(1 - 6x) = (-4 * 1) + (-4 * -6x) = -4 + 24x

24x - 22 = -4 + 24x

Isolate the variable, x. Subtract 24x from both sides:

24x (-24x) - 22 = -4 + 24x (-24x)

0 - 22 = -4 + 0

-22 ≠ -4, therefore, this question is invalid.

~

Answer: (h-g)(-2)=18

Step-by-step explanation:

(h – g) (-2) means the same as subtracting h(-2) and g(-2). Since we are given h(x) and g(x), we can use them to solve. There are two ways to solve. One is to find h(-2) and g(-2), and then subtract them. Another way is to do (h-g)(x), then plug in x=-2. I will show both methods.

Method 1

h(-2)=2(-2)²-5(-2)+2                   [exponent]

h(-2)=2(4)-5(-2)+2                      [multiply]

h(-2)=8+10+2                               [add]

h(-2)=20

g(-2)=(-2)²-2(-2)-6                       [exponent]

g(-2)=4-2(-2)-6                            [multiply]

g(-2)=4+4-6                                 [add then subtract]

g(-2)=2

(h-g)(-2)=20-2                            [subtract h(-2) and g(-2)]

(h-g)(-2)=18

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

Method 2

(h-g)(x)=2x²-5x+2-(x²-2x-6)      [distribute -1]

(h-g)(x)=2x²-5x+2-x²+2x+6        [combine like terms]

(h-g)(x)=x²-3x+8

(h-g)(-2)=(-2)²-3(-2)+8                [plug in x=-2, exponent]

(h-g)(-2)=4-3(-2)+8                    [multiply]

(h-g)(-2)=4+6+8                          [add]

(h-g)(-2)=18

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

Now, we know that (h-g)(-2)=18. We confirmed this with both methods.

Answer:0

Step-by-step explanation: took the quiz

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property  fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

Answer:

ello

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property  fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

Answer:

x = 2/5

Step-by-step explanation:

Solve for x:

x/3 + 2/3 = 2 x

Hint: | Combine x/3 + 2/3 into a single fraction.

x/3 + 2/3 = (x + 2)/3:

(x + 2)/3 = 2 x

Hint: | Make (x + 2)/3 = 2 x simpler by multiplying both sides by a constant.

Multiply both sides by 3:

(3 (x + 2))/3 = 3×2 x

Hint: | Cancel common terms in the numerator and denominator of (3 (x + 2))/3.

(3 (x + 2))/3 = 3/3×(x + 2) = x + 2:

x + 2 = 3×2 x

Hint: | Multiply 3 and 2 together.

3×2 = 6:

x + 2 = 6 x

Hint: | Move terms with x to the left hand side.

Subtract 6 x from both sides:

(x - 6 x) + 2 = 6 x - 6 x

Hint: | Combine like terms in x - 6 x.

x - 6 x = -5 x:

-5 x + 2 = 6 x - 6 x

Hint: | Look for the difference of two identical terms.

6 x - 6 x = 0:

2 - 5 x = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 5 x = -2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-5 x = -2

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -5 x = -2 by -5:

(-5 x)/(-5) = (-2)/(-5)

Hint: | Any nonzero number divided by itself is one.

(-5)/(-5) = 1:

x = (-2)/(-5)

Hint: | Simplify the sign of (-2)/(-5).

Multiply numerator and denominator of (-2)/(-5) by -1:

Answer: x = 2/5

Answer: [tex]x=2/5[/tex]

Simplify both sides of the equation

[tex]1/3x+2/3=2x[/tex]

Subtract 2x from both sides

[tex]1/3x+2/3-2x=2x-2x\\-5/3x+2/3=0[/tex]

Subtract 2/3 from both sides

[tex]-5/3x=2/3-2/3=0-2/3\\-5/3x=-2/3[/tex]

Multiply both sides by 3/-5

[tex](3/-5)*(-5/3x)=(3/-5)*(-2/3)\\x=2/5[/tex]

Answer:

515.25 is what she got left

Step-by-step explanation:

Step-by-step explanation:

The outlier is excluded, so the minimum is 59.

Answer:

Personal finance

Step-by-step explanation:

Personal finance is a technical term in which a person or group of persons pool resources together for the purpose of budgeting, saving, or spending as they deem fit.

Money in Mark's saving account that he used as a down payment for his car is an example of personal finance.

Answer:

r = 1.4 %

Step-by-step explanation:

given p(principle) is 1,375$, r(interest rate) is unknown, t(time in years) is 2, and I(Interest / final balance) is 37.10$. The simple interest formula: I = prt can be rewritten as: r = I/pt to solve for r. 37.1 / ( 1325 × 2 ) = 37.1 / 2650 = 0.014 = ( 0.014 * 100 ) % = 1.4 %

Answer:

V = 4316.75 π

Step-by-step explanation:

Given that:

[tex]y = 5 \sqrt{49 -x^2}[/tex] y = 0, x = 2, x = 4

[tex]V = \pi \int \limits ^{x=4}_{x=2} y^2 \ dx[/tex]

where;

y² = 25 (49 - x²)

[tex]V = 25 \pi \int \limits ^4_2 (49-x^2) dx[/tex]

[tex]V = 25 \pi [ (49x-\dfrac{x^3}{3}]^4_2[/tex]

[tex]V = 25 \pi [ 49\times 4 -\dfrac{4^3}{3} - 2][/tex]

[tex]V = 25 \pi [ 196-21.33 - 2][/tex]

[tex]V = 25 \pi [ 172.67][/tex]

V = 4316.75 π

Answer:

16.6666666667

Step-by-step explanation:

Answer:

16 2/3

Step-by-step explanation:

Step 1:

5/1 ÷ 3/10

Step 2:

5/1 × 10/3

Step 3:

50/3

Answer:

16 2/3

Hope This Helps :)

Answer:

Height = 1 inch

Step-by-step explanation:

area of triangle = 1/2 x base x height

       11.5 =1/2 x 23 x height

       23/23 = height

       height = 1

h = 1 inches

The area of a triangle = formula

A = b×h/2

2A = b×h

h = 2A/b

h = 2×11.5in²/23in

= 23in²/23in

= 1 in

Answer:

x = 17

Step-by-step explanation:

4x +22 = 90

4x = 68

x = 68/4

x = 17

Answer:

200,000+10,000+700+4

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

hope this helps

Answer:

19 or 21.

Step-by-step explanation:

I swear.

5 + 5 = 10

10 + 5 = 15

15 + 4 = 19

________________

9 + 9 = 18

18 + 10 = 28

28 - 5 = 23

There are two nines so

23 - 2 = 21

Answer:

y - x = 69

Step-by-step explanation:

From the figure attached,

Number in each block is the sum of the numbers in the block beneath it.

Therefore, A + 21 = 32 ⇒ A = 11

A + 5 = B ⇒ B = 16

C = 5 + x

D = 32 + B ⇒ D = 32 + 16 = 48

E = B + C ⇒ E = 16 + (5 + x)

               ⇒ E = 21 + x

y = D + E ⇒ y = 48 + (21 + x)

                   y = 48 + 21 + x

                   y = 69 + x

              y - x = 69

Therefore, y - x = 69 will be the answer.

5. Tania earns $13.50 per hour at the Glendale Florist. She regularly works 40 hours per week. She is paid time-and-a-half for each hour of overtime work. Last week she worked. 43 hours. What was her gross pay for the ...

Missing: michael ‎| Must include: michael

Steps to solve:

2g - 13 = 3

~Add 13 to both sides

2g = 16

~Divide 2 to both sides

g = 8

Best of Luck!

The solution to the equation 2g - 13 = 3 is g = 8.

To solve the equation 2g - 13 = 3 for g, we'll perform the necessary steps to isolate the variable g on one side of the equation.

Starting with the given equation:

2g - 13 = 3

First, we'll add 13 to both sides to eliminate the -13 term on the left side:

2g - 13 + 13 = 3 + 13

2g = 16

Next, to isolate the variable g, we divide both sides by 2:

(2g)/2 = 16/2

g = 8

Therefore, the solution to the equation 2g - 13 = 3 is g = 8.

In this equation, we initially have a linear expression involving the variable g and a constant term. By performing algebraic operations, we rearrange the equation to have g on one side and the constant value on the other side. This isolates the variable and provides us with a specific value for g that satisfies the equation. In this case, the value of g is determined to be 8, which can be verified by substituting it back into the original equation to see if it holds true.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

Answer:

X = 7n + 3

Step-by-step explanation:

x= dimes

n=nickels

X = 7n + 3

Answer:

20

Step-by-step explanation:

Answer:-20

Step-by-step explanation: 8/4+3=5 then -2*5 =-10*2 =-20