An invoice shows a net purchase price of $1809.13 after the subtraction of discounts of 12.5%, 25%, 8.3%. What was the list price?

Answer:

[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]

Step-by-step explanation:

We are given and asked to solve the equation:

[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]

We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):

[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]

Simplify:

[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]

Expand and isolate:

[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]

Hence solve for x:

[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]

In conclusion, the solutions of the equation are x = 0 and x = 1.

Answer:

11/15

Step-by-step explanation:

To find probability, you divide whatever you're looking for over your total. In this case, you have 11 marbles that are not red, and 15 marbles total, so your answer would be 11/15.

To translate something:

  ⇒ is to write out the equations

Let's examine what information this problem gives us:

            ⇒ with '2' being the number of adults tickets

                ⇒total charge from purchasing adult tickets = 2 * 62.5 = 125

            ⇒ with 'x' being the number of child tickets bought

                 ⇒total charge from purchasing child tickets = 42.5x

Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:

   ⇒ 42.5x + 125 = 400 <== translated form

Let's solve:

   [tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]

Since we can only buy whole tickets:

Mrs. Albert could have bought at most 6 child tickets

Answer: Mrs. Albert can bring 6 kids

Hope that helps!

Answer:

3

Step-by-step explanation:

Using Pythagoras formula

h^2 = (root under) p^2 +b^2

or, h^2= 20^2 + 21^2

or, h^2= 400+441

or, h^2= 841

or, h= (root under) 841

Therefore h= 29

Now,

Perimeter of a triangle= a+b+c

= 20+21+29

=70

Answer:

The scientific notation for this will be

[tex]7.832 \times {10}^{ - 3} [/tex]

As there are three zero in expression

let's recall that a circle has a total of 360°.  Check the picture below.

Answer:

a.

Step-by-step explanation:

the area of a whole circle (360°) is

pi×r²

in our case

pi×10² = 100pi

but here we don't need the full circle. we only need a fraction of the whole circle : 128/360

so, the area of the sector is

100pi × 128/360 = 100pi × 16/45 = 20pi × 16/9 =

= 111.7010721... cm² ≈ 111.7 cm²

Answer:

B

Step-by-step explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a , then a shift to the left of a units

• if - a then a shift to the right of a units

h(x) = g(x - 3)

then h is the graph of g shifted right 3 units

Answer:

  $2.34

Step-by-step explanation:

The total cost is the sum of the number of pounds multiplied by the cost per pound for each of the items purchased. Each of the four equal shares of the cost will be 1/4 of the total cost.

__

The distributive property can be used to simplify the problem.

  total cost = cost of apples + cost of pears

  share cost = 1/4(total cost) = 1/4((2.4 lb)($1.65/lb) +(2.4 lb)($2.25/lb))

  share cost = (1/4)(2.4)($1.65 +2.25) = 0.6($3.90)

  share cost = $2.34

Each of them should pay $2.34 for the apples and pears.

Answer:

Step-by-step explanation:

Answer:

0.12

Step-by-step explanation:

there are 128 fluid ounces in 1 gallon

15.36 / 128 = 0.12

1,005.44

Pir^2h

3.142*8*8*5

1,005.44

If the measure of the angle ∠RQT is 125°. Then the measure of the angles ∠RQS and ∠SQT will be 44° and 81°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

If the measure of the angle ∠RQT is 125°. Then the measure of the angles ∠RQS and ∠SQT will be

Then we have

      ∠RQS + ∠SQT = 125°

(3x - 10)° + (4x + 9)° = 125°

                      7x - 1 = 125°

                          7x = 126°

                            x = 18°

Then the measure of the angle ∠RQS will be

∠RQS = 3 × 18 - 10

∠RQS = 44°

Then the measure of the angle ∠SQT will be

∠SQT = 4 × 18 + 9

∠SQT = 81°

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Answer:

y = 2x – 10

Step-by-step explanation:

ΔY divided by ΔX

= 5-7/0-4

= 2/1 = 2 (simplified)

plug in 2 into; 0=2(5)+b

= -10=b

so we have: y=2x-10

Step-by-step explanation:

4x-4x=-32-4

X=28

Is the answer

Answer:

No solution

Step-by-step explanation:

As the slopes are same and y-intercepts are different, we can conclude this system of equations has no solution.

Answer:

480 in

Step-by-step explanation:

Rectangular Prism Formula :

V=whl

Which,

W = Width

H = Height

L = Length

Solve:

Given that:

Length = 8 in

Width = 10 in

Height = 6 in

Since the formula is:

V = whl

Then,

V = 8 × 10 × 6

V = 80 × 6

V = 480 in

Kavinsky

Answer:

False

Step-by-step explanation:

False. Both surface area cannot be find using the same formula.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Right cone is a cone where the axis of the cone is perpendicular to the base .

Whereas, oblique cone has the axis of cone not perpendicular to the base.

Base area would be same for both right and oblique cones.

But the lateral surface area will be different.

Hence the surface area will be different.

Hence the surface area formula for a right cone is not same to find the surface area of an oblique cone.

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Answer:

$27.85

Step-by-step explanation:

I think what it means by outstanding charge is that there is something else he also needs to pay that he hasn't input yet. So, going off of that logic,

20+7.85 = 27.85, to find the amount he should pay for both charges to not create another bank fee.

Answer:

Step-by-step explanation:

hope this helps you

Answer:

where are the limit questions?

Answer:

6

Step-by-step explanation:

Answer:

the equation will be in the form of:

y = -x + b

To find be take any point on the line. Hence we have (5,1) which is the midpoint where the line meets.

Therefore, substitute (5,1) in the above equation:

1 = -5 + b

b = 6

So the question of the line will be:

y = -x + 6

Answer:

Step-by-step explanation:

A is 3 You have to minus Clares age by two to get Mary's age

B is 1 You have to divide the price in half

C is 2 the only one left

Answer:

ED = 6.5 cm

BE = 14.4 cm

Step-by-step explanation

AB/BC = AE/ED is less than or eqauls ED = BC×AE/AB

so

ED = 5×26/20 = 130/20 = 6.5 cm

and

AB/AC = BE/CD => BE = AB×CD/AC

so

BE = 20×18/25 = 360/25 = 14.4 cm

The statements about the octagon that are true are:

This is known to be a kind of 2D shape object that is said to be made up of eight-sided polygon.

Note that when one measure the central angle, ∠zxw, as 45° it will therefore holds true for an octagon true shape and as such the two options above are correct.

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Answer:

its C and E my friend

Step-by-step explanation:

i took the test

yw :)

hope i helped/ made life easier

The answer is B i hopes this helps

He makes a profit in total of $8381

The store makes a profit of $29 per sweater.

Here, we have to calculate the profit per sweater, we need to find the difference between the selling price and the cost price (purchase price) of each sweater.

Given:

Number of sweaters bought = 17

Cost of buying 17 sweaters = $68

Selling price of 17 sweaters = $561

Profit per sweater = Selling price per sweater - Cost price per sweater

First, calculate the cost price per sweater:

Cost price per sweater = Total cost / Number of sweaters

Cost price per sweater = $68 / 17

Cost price per sweater = $4.

Now, calculate the profit per sweater:

Profit per sweater = Selling price per sweater - Cost price per sweater

Profit per sweater = $561 / 17 - $4

Profit per sweater = $33 - $4

Profit per sweater = $29.

The store makes a profit of $29 per sweater.

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Answer:

37°

Step-by-step explanation:

sum of exterior angles of a polygon is 360°

so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360

8x+64=360, subtract 64 from both sides

8x=296

x=37°