The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer 1

Answer:

The price before the increase was £21.20

Step-by-step explanation:

Now, let the former price before the increment be £x

The increment would be 22-x

Mathematically, the percentage increment = difference between the prices/old price * 100%

Thus, we have(

(22-x)/x * 100 = 4

100(22-x) = 4x

2200-100x = 4x

100x + 4x = 2200

104x = 2200

x = 2200/104

x = 21.154

which is x = 21.2 to the nearest penny

Answer 2

Answer:

21.15

Step-by-step explanation:

22 × 10 = 220

100%+4%=104

104 ÷ 10 = 10.4

220 ÷ 10.4 =21.15384615

To the nearest penny it would be 21.15


Related Questions

Simplify the following expressions by using distributive property. 3x^2(4x-3)

Answers

Answer:

12x^3-9x^2

Step-by-step explanation:

[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]

Hope this helps!

NEED HELP ASAP!!
Will give BRAINILESS!!

ATTACHED PICTURE

Answers

Answer

D= t^2 + 5.6

Step-by-step explanation:

D= t + 5.3 x t + 0.3

D= t^2 + 5.6

A triangle on a coordinate plane is translated according to the rule T-8,4(x,y). Which is another way to write this rule

Answers

Answer:

(x, y) → (x + 8, y + 4)

Step-by-step explanation:

Answer: C

Step-by-step explanation

Just took the test

78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.

Answers

Answer:

Step-by-step explanation:

"78% of P" looks like this in an algebraic expression: .78P

"117% of Q" looks like this: 1.17Q

"...is 23.4 more than [above]" looks like this: [above] + 23.4

Putting that all together in one equation, knowing that the word "is" means "equals":

.78P = 1.17Q + 23.4

From there, we will now use the fact that Q is 40% of P, which looks like this:

Q = .4P

Now, using that substitution:

.78P = 1.17(.4P) + 23.4 and

.78P = .468P + 23.4 and

.312P = 23.4 so

P = 75

Going back up to what Q is equal to, we will sub in the value of P and solve for Q:

Q = .4P and P = 75, therefore,

Q = .4(75) so

Q = 30

Pam wants to buy a DVD player. The original price is $50. What is the sale price? with a 90% off

Answers

Answer:

5 dollars

Step-by-step explanation:

If the price is 90 % off, we will pay 100 - 90 or 10 %

Take the original price times 10 %

50 * 10 %

50 * .10

5

10 pts!
How can you determine if two triangles have a scale factor?

Answers

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!

Answer:

i dont know but here is some help

Step-by-step explanation:

Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .

A certain brand of candy is sold by weight, with a 3 oz bag costing $0.75. if a bag of this candy costs $2.00, what does it weight

Answers

Answer:It weights  8 oz.

Step-by-step explanation:

[tex]\frac{3}{0.75} = \frac{x}{2}[/tex]    solve by cross product

0.75x = 6  now divide both sides by 0.75  

x=  8

A manufacturer spends $12000 in parts to build a car, they then go and sell that car for $25000. What percentage of profit did they make?

Answers

Answer:

108.3%

Step-by-step explanation:

The manufacturer spends $12,000 in buying the car parts and sells the car for $25,000

Selling price= $25,000

Cost price=$12,000

Gain= selling price-cost price

= 25000-12000

= $13000

The percentage profit can be calculated by applying the formular below

Profit= Gain/cost price×100/1

=13000/12000×100/1

=1.083×100

= 108.3%

Hence the percentage profit is 108.3%

Answer:

52%

Step-by-step explanation:

Step one

In this problem we we have to calculate the profit made after spending a certain amount on the car

Step two

Given that he spent $12000 for parts

And he sold the car for $25000

The profit made is

=Cost of car - cost of repair

= 25,000-12,000

=$13,000

The profit made is $13,000

Step three

Using the cost of the car and the profit realized we can calculate the percentage of the profit made

= (13,000/25,000)*100

= 0.52*100

=52%

classify the number as rational or irrational 2√5​

Answers

m2.24

Step-by-step explanation:

I did the math and got 2.236 and rounded it and got 2.24.

irrational, the number doesn’t end and doesn’t repeat a pattern

!35 POINTS! Find the total surface area of the following prism! ​

Answers

Total surface area is 152 cm

Answer:

152

Step-by-step explanation:

Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank

Which of the following ribbon has the greatest cost per inch?

Answers

You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.

factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]

Answers

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

4) (4x^2)(3x+1)

I have factorised all of them by taking the common factor out of each

write 10 examples of rectangle that you observed in your daily life

Answers

Answer:

-a book

-a flash card

-the american flag

-post-it

-pencil case

-calculator

-phone

-dollar bill

-tv

-ruler

Step-by-step explanation:

________________________________

Hey!!

Ten examples of rectangles that I observed in my daily life are as follows:

BoxtelevisionMobile phoneswhiteboardClipboardCassetteBagChocolateBiscuitRuler

________________________________

LAST QUESTION!!WILL GIVE BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!


Which is not a pair of congruent angles in the diagram below?

A) EAB=CDB
B) ABE=DBC
C) AEB=DCB
D) AEB=CDB

Answers

It’s the letter B because angle

Answer:

The Correct answer is D

Step-by-step explanation:

I got it right on my test :)

Someone please help me :( I’m struggling

Answers

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item

in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at the end of this period​

Answers

Answer:

42000

Step-by-step explanation:

First of all, we need to find 20 percent of 35000.

35000×20 / 100 = 7000

now we increase the bed cost by 20 percent.

35000 + 7000 = 42000

Answer:

5000

Step-by-step explanation:

WILL GIVE BRAINLIEST
If b^2-4ac>0, which of the following conclusions can be made about the graph of ​f(x)=ax^2+bx+c, a≠0?
a. The graph has two distinct​ x-intercepts.
b. The graph has three distinct​ x-intercepts.
c. The graph has no​ x-intercepts.
d. The graph has one​ x-intercept.

Answers

Answer:

c. The graph has no​ x-intercepts.

Step-by-step explanation:

because it will never touch the x axis

A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]

The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts

There are three possible roots of a quadratic function

Complex rootsDistinct real rootsRepeated real roots

When [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:

The function has distinct real roots

In other words, the function has 2 different values of x

This implies that,

The function crosses the x-axis two times

When the function cross the x-axis, it means that the function has an x-intercept

Hence, the conclusion is:

a. The graph has two distinct​ x-intercepts.

Read more about quadratic functions at:

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What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer:

Given function f(x) = x + 2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)

Step-by-step explanation:

Given function

               [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

let       [tex]y = f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

    The Factor [tex]x^{2} - 3 x - 10[/tex]

                     x ² - 5 x + 2 x - 10

                  x ( x -5) + 2 (x-5)

         [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5} = \frac{(x-5)(x+2)}{x-5} = x +2[/tex]

              y = x +2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]

What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
(-4, 18)
(0, -2)
O (-8,-2)
O (-4, -18)

Answers

Answer:

vertex = (- 4, - 18 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

The the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 8x - 2 ← is in standard form

with a = 1 and b = 8 , thus

[tex]x_{vertex}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4

Substitute x = - 4 into f(x) for corresponding y- coordinate

f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18

vertex = (- 4, - 18 )

The vertex of the parabola is (-4, -18).

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Completing the square.

f(x) = x² + 8x - 2

f(x) = (x + 4)² - 18

Therefore,

The vertex of the parabola is (-4, -18).

Learn more about functions here:

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Help please with this question

Answers

Answer:

The third graph down

Step-by-step explanation:

-2.1 w > 12.81

Divide each side by -2.1, remembering to flip the inequality

-2.1w / -2.1 < 12.81/ -2.1

w < -6.1

There is an open circle at -6.1 and the line goes to the left

Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info

Step-by-step explanation:

I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1

Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.

Now for the little circle on the -6.1:

A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly

Find the area of the following trapezium:
26 cm
21 cm
33 cm
Write appropriate units with your answer.

Answers

Answer:

619.5cm2

Step-by-step explanation:

Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.

Hence the are of trapezium is half sum of the parallel sides × height.

Expressed mathematically we have:

1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2

Lines l and m are parallel. Parallel lines l and m are intersected by lines s and t. At the intersection of lines l, s, and t, clockwise from the top left, the angles are blank, 50 degrees, (x + 25) degrees, (2 x) degrees, 1, blank. Lines t, s, and m create a triangle with angles 1, 2, 3. Using the diagram, determine which statements are true. Select all that apply. m∠1 = 50° m∠3 = (2x + x + 25)° m∠2 = (x + 25)° m∠1 + m∠2 + m∠3 = 180° 50 + 2x+ x + 25 = 180

Answers

Answer:

A, c, d, e

Step-by-step explanation:

on edg

The correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180

What are parallel lines?

Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.

Given that, two parallel lines l and m are intersected by lines s and t. some angles are made by them, we need to select the correct options for them,

Correct options with reasons :-

∠ 1 = 50° is a true statement because they are vertically opposite angles.

m ∠ 1 + m ∠ 2 + m ∠ 3 = 180°, is a correct statement because they are interior angles of a triangle.

50+2x+x+25 = 180, is a correct answer because they are angles lying in a straight line.

Hence, the correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180

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which of the following descriptions represents the transformation shown in the image?​

Answers

Answer:

C. left two units, up three, reflection on the x = -1

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer:

labron james

Step-by-step explanation:labron james labron james labron james

Answer:7c

Step-by-step explanation:

idk.

*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!

Use the diagram to answer the questions. Find the value of Z. *Use image given above* :)

Answers

Step-by-step explanation:

We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!

Answer:

70

Step-by-step explanation:

Z is part of a right angle so 90-20 is 70

Please help me with my question!!

Answers

Answer:

Step-by-step explanation:

Area of triangle = (1/2)bh

                          [tex]=\frac{1}{2}*25*21.65\\\\[/tex]

                          = 270.625 cm²

Area of 6 triangles = 6 * 270.625

                              = 1623.75 cm²

Trapezium:

a = 25 cm

b = 25 +  12.5 +12.5 = 50 cm

h = 21.65 cm

[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(25+50)*21.65}{2}\\\\=\frac{75*21.65}{2}[/tex]

=811.875 cm²

Area of two trapezium = 2 *811.875

                                     = 1623.75 cm²

Area of star = 1623.75 +1623.75

                  = 3247.50 cm²

Answer:

3247.50 cm sq

Step-by-step explanation:

A machine is programmed to make a horizontal cut along
the x-axis, trimming the sides of the satellite dish. What is
the resulting width of the satellite dish, in feet?

Answers

Answer:12ft

Step-by-step explanation:

As per linear equation, the resulting width of the satellite dish is 12 feet.

What is a linear equation?

A linear equation is an equation that may contain one or multiple variable with the highest power of the variable is 1.

The width of the satellite dish extended along with the x-axis from (- 6, 0) to (6, 0).

Therefore, the width of the satellite dish is

= (6 + 6) feet

= 12 feet

Therefore, the width is 12 feet.

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Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

164 cm.

Step-by-step explanation:

First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.

Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.

Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.

After all this, I added everything together. 60 + 24 + 80 = 164.

Sorry, I'm not the best at explaining things.

2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes?

Answers

Answer:

15552 in^3

Step-by-step explanation:

Volume formula for a cube of side length s:  V = s^3.

Then the total volume here is:

(24 in)^3 + (12 in)^3 = 15552 in^3

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