FIRST TO ANSWRR GETS 30 POINTS!

A jewellery shop is having a sale.

A bracelet is now reduced to £420.
This is 70% of the original price.

a) Work out the original price of the bracelet.

A ring is now reduced to £840.
This is a saving of 40% of the original price.

b) Work out the original price of the ring.

Answers

Answer 1

Answer:

a) £600

b) £1400

Step-by-step explanation:

a)  Set up a ratio of price to percentage of original price.

Let x = original price

⇒ £420 : 70 = £x : 100%

[tex]\sf \implies 420 : 70 = x : 100[/tex]

[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]

[tex]\sf \implies x=600[/tex]

Therefore, the original price of the bracelet was £600

b) Set up a ratio of price to percentage of original price.

If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%

Let x = original price

⇒ £840 : 60% = £x : 100%

[tex]\sf \implies 840 : 60 = x : 100[/tex]

[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]

[tex]\sf \implies x=1400[/tex]

Therefore, the original price of the ring was £1400


Related Questions

original price of television is $729 , 18%of the original price , 6% tax applied after discount

Answers

It’s $1,903 Bc i just did that question

Answer:

139.0932

Step-by-step explanation:

729×18%×(1+6%)

729x0.18x(1+0.06)

729x0.18x1.06

139.0932

What is the area of the following circle?

Answers

Answer:

34.54

Step-by-step explanation:

you do 2 * 3.14 * 5.

to find the area 2pie r the 3.14 comes from the directions, the 2 comes from the circle because the full length of the circle is 10 but you divide by 2 to get 5 and the 5 also comes from the circle and that is the radius.

A ball is hit from the ground. When that ball has traveled a horizontal distance of d meters, its height, h, in meters, can be modeled by the function (d) =-1/1125d2+d.

what is the horizontal distance from the point where the ball is hit to the point whitch ball lands on the ground.

Answers

Answer:

I'll assume the equation is h(d) = -(1/1125)d^2 + d  

Please check, the (1/1125) term is disturbing.

Step-by-step explanation:

When the ball hits the ground, the height, h(d) is 0.  We want the value of d, the distance the ball has travelled horizontally, that would give the function a value of 0.

h(d) = -(1/1125)d^2 + d

0 = -(1/1125)d^2 + d

(1/1125)d^2 - d = 0

Solve using the quadratic equation:  I get 0 and - 1125 seconds.  I conclude that the factor (1/1125) is incorrect, or some other error in the equation.

The horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

When the ball hits the ground, the height, h(d) is 0.  We need to find the value of d, the distance the ball has traveled horizontally, which would give the function a value of 0.

Solve using the quadratic equation

h(d) = -(1/1125)d^2 + d

0 = -(1/1125)d^2 + d

(1/1125)d^2 - d = 0

(1/1125)d^2 = d

d = 1125

Thus,  the horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.

Learn more about quadratic equations;

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help please must be a really quick answer but right!

Answers

Answer:

240 ft^2

Step-by-step explanation:

10*18=180

20*6=120

120/2 = 60

180+60=240

the diagram represents the unit rate of making copies on a copy machine. Which table represents the rate of making copies on this copy machine?

Answers

The unit rate is the amount of book copy made in a second

The table that represents the unit rate is table (b)

How to determine the table?

The interpretation of the diagram for making copies is:

Rate = 4 copies per second

This means that:

The table that represents this diagram must have a slope or rate of 4

From the list of options, the table (b) has a slope of 4.

This is calculated as:

Slope = Copies/Time

So, we have:

Slope = 40/10 = 4

Hence, the table that represents the unit rate is table (b)

Read more about unit rates at:

https://brainly.com/question/19493296

(ii) Express 1800 cm: 20 m in its simplest form.

HELPP

Answers

1800 cm: 20 m in its simplest form is 9cm : 10 cm

What is ratio?

Ratio says how much of one thing there is compared to another thing. Ratio compares value.

Therefore, let's make the unit the same.

0.01 m = 1 cm

20m =

length = 20 / 0.01

length = 2000 cm

Therefore, the ratio is as follows:

1800 cm : 2000 cm

Let's write it in it simplest form.

1800 / 2000 = 9 / 10

Therefore, the simplest form is 9 cm : 10 cm

learn more on ratio here: https://brainly.com/question/859009

(I WILL GIVE BRAINILEST AND 35 POINTS!)Calculate the Volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube

Answers

Answer: the answer is “B”

Step-by-step explanation: answer is LETTER B

(1) In the adjacent figure, congruent sides of ABCD are shown by identical marks. State if there are any pairs of congruent angles in the figure. A


Remove Congruent pairs too ​

Answers

Answer:

Step-by-step explanation:

50 POINTS FOR CORRECT AWNSER!

Answers

Answer:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

Step-by-step explanation:

First, find the equation of the line.

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\mathsf{(x_1,y_1)=(0,-4)}[/tex][tex]\mathsf{(x_2,y_2)=(7,0)}[/tex]

[tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=\dfrac47x-4}[/tex]

For an inequality, the dashed line means < or >  (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

WILL GET BRAINLIEST!!!!!!​

Answers

Answer:

d=8

e=11.31

Step-by-step explanation:

side8 and side(d) are the same length

8squared+8squared=128

[tex]\sqrt{128}[/tex]=11.31

hope this helps!

Answer:

d = 8 and e = 8√2   ( e = 11.31 do the nearest hundredth)

Step-by-step explanation:

This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2

So d = 8

and

e = 8√2.

Write an equation that represents the line use exact numbers

Answers

Answer:

hello

f (2 ) = 6 et  f ( 0 ) = 3

( 3 - 6 ) / ( 0 - 2 ) = - 3/- 2 = 3/2

ax =  3 x /2

f (0) = 3  ⇔ b =  3

f (x) =  3 x /2 + 3

also  f ( 0) = 0 + 3 = 3  

sorry

y = ax + b

b = 3

since the line cuts the y-axis in 3

then for a ? which is the slope..

we take 2 points on the line (0 ; 3) and (2 ; 6)

we move 2 units to the left to go up 3 units

so a = 3/2

=> y = 3/2x + 3

or

f(x) = 3/2x + 3

Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6.

Answers

Hope it helpssss…….hehe

-2x^2+bx -5 Determine the b-value that would ensure the function has two real root.

Answers

Answer:

No solution

Step-by-step explanation:

Given is the quadratic function

y = -2x² + bx - 5

In order to have two real roots the discriminant should be posivive

D = - b² - 4acD = - b² - 4(-2)(-5) = - b² - 40

We need D > 0

-b² - 40 > 0b² + 40 < 0b² < - 40

There is no solution as b² is never negative

The length, breadth and height of room are in the ratio of 5:3:1 and the room contains 960m³ of air . What is the cost of plastering its walls, floor and ceiling at Rs. 30 per m²?

Answers

Answer:

Rs. 22,080.

Step-by-step explanation:

Let the height be x m then the breadth is 3x and the length 5x m.

x * 3x * 5x = 960

15x^3 = 960

x^3 = 64

x = ∛ 64 = 4m.

Therefore the height is 4m, the breadth = 12 m and the length = 20m.

So the area of all the surfaces

= 2 * short wall + 2 * long wall + floor + ceiling

= 2 *4*12 + 2*4*20 + 12*20 + 12*20

=  96 + 160 + 240 + 240

= 736 m^2.

Cost plastering  = 736 * 30 = Rs. 22,080

The area of this figure.
square meters
10 m
2 m
12 m
7 m
4 m
4 m

Answers

Answer:

I believe it is 106 Square meters

Step-by-step explanation:

Easiest way to find area for these kind of shapes is to break them into smaller rectangles, this specific one can be broken 3 ways...

Right: 4m long, 7m tall

Top: 10 long, 5 tall *(12-7)*

Left: 4m long, 7m tall

*To find incomplete ones, you find clues in other sides, for instance the whole side was 12, the broken part was 7, therefor you just subtract 7 from 12, giving you 5 for the top.*

Then you just multiply...

4x7=28
4x7=28
10x5= 50

Now, you have the area for three individual smaller rectangles. So you simply add them together to get the whole shapes area...

28+28+50=106

Therefor, your answer should be 106 square meters- if I'm not mistaken.

Hope this helps, brainliest is appreciated if its right, trying to rank up :)

Have a great day! cx

~Mitsuna

Answer:

106

Step-by-step explanation:

Here's one way of finding the area:

Find the area of the entire outer rectangle. Then subtract the area of the samlle rectangle in the bottom middle.

A = LW - lw

A = (10 m)(12 m) - (2 m)(7 m)

A = 120 m² - 14 m²

A = 106 m²

Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.

Answers

There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.

It is given that the function  [tex]\rm f(x) = -0.5|2x+2|+1[/tex]

It is required to find the values of x when f(x) = 6

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm f(x) = -0.5|2x+2|+1[/tex]

And f(x) = 6

Putting the value of f(x) in the above equation, we get:

[tex]\rm 6 = -0.5|2x+2|+1[/tex]   or

[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]

Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'

Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.

Learn more about the function here:

brainly.com/question/5245372

6. A line passes through the points (-2,5) and (6,9). Calculate the gradient of this line.

Answers

Answer:

d 2.5 line is 6.9 which is 9.4

Step-by-step explanation:

because


A cube is sliced as shown. Find the area of the cross section formed by the slice.

Answers

Answer: 5√(50) = 35.36 m^2

Step-by-step explanation:

The cross section is a rectangle, so its area formula is: Area = length * width.

If you look, the width is the diagonal of the side of the cube; thus, you can use Pythagorean theorem to find its measurement: a^2 + b^2 = c^2 → 5^2 + 5^2 = c^2 →

50 = c^2 → c = √(50)

Now, use the area formula and get: Area = 5 * √(50) = 5√(50) = 35.36 m^2 :)

True or false if you took a true of them statement inserted a not in each clause and reversed the clauses the new statement would also be true

Answers

Answer:

true

Step-by-step explanation:

i don't understand this at alllll :(

Answers

Answer:

300

Step-by-step explanation:

volume of rectangle formula:

HEIGHT*WIDTH*LENGHT*

12*10(1/2)*20(1/4= 300

Answer:

2551.5in³

Step-by-step explanation:

this is easy if you know the formula.

volume = l*w*h

= 20.25*10.5*12= 2551.5in³

solve systems by substitutions
y=x + 10
y= -6x-18

Answers

x + 10 = - 6x - 18

7x = - 28

x = - 4

and y = - 4 + 10 = - 6

Use the distributive property to write an expression equivalent to each of the following x(-2+3)

Answers

Hey there!

x(-2x + 3)

= 1x(-2x + 3)

DISTRIBUTE 1x WITHIN the PARENTHESES

= 1x(-2x) + 1x(3)

= -2x(1x) + 3(1x)

= -2x^2 + 3x


Therefore, your answer is: -2x^2 + 3x


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational

Answers

Answer:

A Rational

Step-by-step explanation:

Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.

What is c in this ixl

Answers

Answer:

11

Step-by-step explanation:

the area of a triangle is bc/2

b = 8.8

c = ?

area = 48.4

48.4 = 8.8c/2

96.8 = 8.8c

c = 11

Please mark as brainliest!

11

Step-by-step explanation:

[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please

What is the mode for the following set of data?

5, 7, 8, 10, 12, 12

10
9
7
12

Answers

Answer:

I think it would be 10

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.

Math tangent of a circle Also sorry my sister got a hold of it
ASAP!!!

Answers

Imagine we drew a line from the centre (2,0) to the point (0,4).

Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.

The slope of that line from the centre to the point is -2 based on the slope's equation or formula.

  slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]

Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.

By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.

 [tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]

Hope that helps!

If v is the circumcenter of pqr ,pr =46 ,tv=15,and vr=25 find each measure

Answers

Answer:

1. a) SR = 23

b) QV = 25

c) QT = 20

d) PQ = 40

e) VS = 4·√6

2. a) LH = 16

b) EL = 2·√185

c) JG = 30

d) EK = 22

e) KG = 30

3. a) XT = 37

b) TZ = 34

c) ZW = 17

d) XZ = 21

e) SY = 69

Step-by-step explanation:

The circumcenter ΔPQR is the center of the circle that circumscribes ΔPQR

The length of the radius of the circle ≡ VR = VP = QV = 25

a) Given that VR ≅ VP - Radius of circumcircle

VS ≅ VS Reflective property

∠VPS ≅ ∠VRS - Base angles of an isosceles triangle

Right triangle VPS ≅ Right triangle VRS -Hypotenuse and one Leg HL congruency

Therefore, SR ≅ PS -Corresponding parts of congruent triangles are congruent CPCTC

SR + PS = PR = 46

SR + PS = SR + SR = 2·SR = 46

∴ SR = 46/2 = 23

b) QV = VR = 25 = Radius of circumcircle of ΔPQR -Given V = center and Q = vertices of the triangle circumscribed by the circle referred to in the question

c) QT = √(QV² - TV²) = √(25² - 15²) = √400 = 20

d) TV ≅ TV - Reflexive property of congruency

ΔTQV ≅ ΔTVP - Hypotenuse and one Leg (HL) congruency

QT ≅ TP -Corresponding parts of congruent triangles are congruent CPCTC

PQ = QT + TP Given

∴ PQ = QT + QT since QT = TP

PQ = 2·QT = 2 × 20 = 40

e) VS = √(VR² - SR²) = √(25² - 23²) = √96 = 4·√6

2.  The incenter is the center of the incircle of ΔEFG

 a) LH = LK = JL = 16 -Radius of incircle of ΔEFG

b) EL = Hypotenuse of right triangle LHE = √(LH² + EH²) = √(16² + 22²) = √740 = 2·√185

c) JG = Leg length of right triangle JGL = √(LG² - JL²) = √(34² - 16²) = √900 = 30

d) EK = Leg length of right triangle LKE = √(EL² - LK²) = √(740 - 256) = 22

e) KG = Leg length of right triangle LKG = √(LG² - LK²) = √(34²- 16²) = √900 = 30

3. Point Z id the centroid of ΔRST

a) XT = XS - point X on ST bisected by median line RX

ST = XT + XS = XT + XT = 2.XT = 74

XT = 74/2 = 37

b) TZ = 2/3×TW  - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

TZ = 2/3×51 = 34

c) TZ + ZW = TW

∴ ZW = TW - TZ = 51 - 34 = 17

d) RZ = 42 = 2/3×RX - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

∴ RX = 3/2×42 = 63

RZ + XZ = RX - Given

XZ = RX - RZ = 63 - 42 = 21

e) SZ = 2/3×SY - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

SZ + ZY = SY

∴ ZY = SY - SZ = SY - 2/3×SY = 1/3×SY = 23

Which gives;

SY = 3 × 23 = 69.

true or false and explain or show your reasoning
10-⁵=-10⁵

(10²)-³=(10²)³

10³/10¹⁴=10-¹¹

Answers

Answer:

a. False : because 10^-5= 1/10^5 where as -10^5=-1 × 10^5

therefore 1/10^5 not equal to -1×10^5

b. False : because (10^2)^-3 = 100^-3=1/100^3 where as (10^2)^3 = 100^3=1000000 there fore 1/100^3 not equal to 1000000

c. True : because 10^3/10^14=10^(3-14)=10^-11 therefore both left side and right side of the equation are equal

Assessment started: undefined. Item 1 What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box

Answers

The mean of the data set, 6, 11, 5, 2, 7, is: 6.2.

What is the Mean of a Data Set?

The mean of a data set is the average of the data points or the sum of all the data points divided by the total number of data points in the data set.

Given the data set, 6, 11, 5, 2, 7:

Mean = (6 + 11 + 5 + 2 + 7)/5

Mean = 31/5

Mean = 6.2

Therefore, the mean of the data set, 6, 11, 5, 2, 7, is: 6.2.

Learn more about the mean on:

https://brainly.com/question/19243813

Answer:

6.2

Step-by-step explanation:

For Halloween, Kate wears a monocle
that has a radius of 3 centimeters.
What is the monocle's circumference?
Use 3.14 for n.
centimeters

Answers

Answer:

18.84 square centimeters

Step-by-step explanation:

[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]

[tex]C = (3.14)(6)[/tex]

[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]

P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.

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