in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

Answers

Answer 1
Question

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

Answer

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]


Related Questions

An earthquake with a rating of 7.6 is
known to be a great earthquake that can
cause damage that extends several
hundred kilometers.
Math

Answers

Answer:

39,810,717.06

Step-by-step explanation:

Question:

What is the value of x when the richter scale rating is 7.6? Round your answer to the nearest hundreth.

Mathematically, the rating of an earthquake typically refers to its magnitude on the Richter scale.

The Richter scale is a logarithmic scale that measures the amplitude of seismic waves produced by an earthquake. Each increase of one unit on the Richter scale represents a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.

A rating of 7.6 on the Richter scale indicates a significant and powerful earthquake. It is considered a "great" earthquake and can cause widespread damage over an extensive area. The extent of the damage can depend on various factors, including the depth of the earthquake, the distance from populated areas, and the local building infrastructure.

It's important to note that while the magnitude of an earthquake provides a measure of its energy release, it doesn't directly indicate the extent of the damage or the specific geographical area affected. The effects of an earthquake can vary depending on factors such as local geology, distance from the epicenter, and the population density of the area.

Mathematically, the Richter scale provides a standardized way to quantify and compare the magnitude of earthquakes, aiding in the understanding and analysis of seismic events.

To know more about Richter scale. here

https://brainly.com/question/24037139

#SPJ2

For Triangle PQM, where M is the Right Angle and PQ is the Hypotenuse. You know side PM = 8, side PQ = 17, Side MQ = 15. Find Angle P.

PLEASEEEEEE HELPPPPPPP​

Answers

Answer:

61.9°

Step-by-step explanation:

tan p = opposite/ adjacent

tan p = 15/8

[tex]tan^{-1}[/tex] (15/8)

Simplify (sin^2 0+cos^2 0) (sin 0+cos 0)
Can someone help? I don’t understand.

Answers

Answer:

C) [tex]sin\theta+cos\theta[/tex]

Step-by-step explanation:

[tex](sin^2\theta+cos^2\theta)(sin\theta+cos\theta)[/tex]

[tex]sin\theta+cos\theta[/tex]

Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]

Answer:

C

Step-by-step explanation:

To start this problem off, we should know an important trig rule:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

From here, it is simple:

[tex](\sin^2(\theta)+\cos^2(\theta))(\sin(\theta)+\cos(\theta))=\\1(\sin(\theta)+\cos(\theta))=\\\sin(\theta)+\cos(\theta)[/tex]

C

I hope this helps! Let me know if you have any questions :)

What is the value of x to the nearest degree?





22



63



77



68

Answers

Answer:

I need help on this to anyone please

A school held a tennis tournament.After each round,one-forth of the players were eliminated.If there were 64 players at the start of the tournament,which equation models the number of players left after 6 rounds?​

Answers

Answer:

Option B

Step-by-step explanation:

After each round of the tournament one-fourth players are eliminated.

That means the process of elimination will represent the exponential decay.

Equation of exponential decay is given by the expression,

[tex]y=a(1-r)^n[/tex]

Here, a = Initial number of players

r = Fraction of reduction in the number of players

y = Final number of players

n = Number of rounds

In the given question,

Initial number of the players (a) = 64

Fraction of reduction in the number of players (r) = [tex]\frac{1}{4}[/tex]

                                                                             = 0.25

Number of rounds (n) = 6

By substituting these values in the expression,

[tex]y=64(1-0.25)^6[/tex]

Therefore, Option B is the answer.

Help please thanks! :)

Answers

Answer:

Option A = 1/15 cubic meters

Step-by-step explanation:

Formule to find volume of rectangular prism:

Volume = width × height × length

V = w×h×l

V = 1/3 × 1/4 × 4/5

V = 1/15 cubic meters

¿Cuál de los siguientes productos algebraicos es un Binomio Suma por Binomio Diferencia?


Seleccione una:
a. (a + b) (a - b)
b. (a - b) (a - b)
c. (a + b) (a + b)
d. (a + b) (c + d)

Answers

The answer is d hope that helps

plsss help (on pic)
First will put brainliest

Answers

Answer:

7 over 2x-2

Step-by-step explanation:

Answer:

g^-1 •7

7g^-1

7•1/g

answer is 7/g

I hoped I helped!! :)

Solve the following:
4x-3=2x+7
Thanks :)

Answers

Answer:

6x+10 i think is right(sorry if its not)

Answer:

5

Step-by-step explanation:

4x-3=2x+7

-2x -2x

2x-3=7

+3 +3

2x=10

2x/2x = x

10/2=5

x=5

convert 25meter square into centimeter square

Answers

Answer:

250,000 cm squared

Step-by-step explanation:

What property is used in the second step of solving the inequality below?
Given
5x-991
5x < 100
Multiplication Property
O Identity Property
O Addition Property
Multiplication Property
O Transitive Property

Answers

Answer:

O Addition Property

Step-by-step explanation:

Addition property: adding or subtracting the same number on both sides does not change the inequality.

Please help I’ll give brainliest

Answers

Answer:

B

Step-by-step explanation:  6 21  9 45

49 × 17 + 49 × 3

49 × (17 + 3)

49 × 20

Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4 ⋅ 2 + y
4(2 + y)
2 + 4 ⋅ y
2(4 + y)

Answers

Answer:

[tex]4(2 + y)[/tex]

Step-by-step explanation:

"4 times the sum of 2 and y".

Hope it is helpful...

Answer:

The answer is 4(2+y)

Explanation: No 1 is 4 times two and add 1

No 3 is 2 plus 4 and multiply y

No 4 is 2 times 4 and adds 2 y

Hello! Verify the identity. Please show your work! Use trigonometric identities to verify each expression is equal.


Yes this is from edge.

Answers

Answer:

See Below.

Step-by-step explanation:

We want to verify the identity:

[tex]\displaystyle \csc^2 x -2\csc x \cot x +\cot ^2 x = \tan^2\left(\frac{x}{2}\right)[/tex]

Note that the left-hand side is a perfect square trinomial pattern. Namely:

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

If we let a = csc(x) and b = cot(x), we can factor it as such:

[tex]\displaystyle (\csc x - \cot x)^2 = \tan^2\left(\frac{x}{2}\right)[/tex]

Let csc(x) = 1 / sin(x) and cot(x) = cos(x) / sin(x):

[tex]\displaystyle \left(\frac{1}{\sin x}-\frac{\cos x }{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]

Combine fractions:

[tex]\displaystyle \left(\frac{1-\cos x}{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]

Square (but do not simplify yet):

[tex]\displaystyle \frac{(1-\cos x)^2}{\sin ^2x}=\tan^2\left(\frac{x}{2}\right)[/tex]

Now, we can make a substitution. Let u = x / 2. So, x = 2u. Substitute:

[tex]\displaystyle \frac{(1-\cos 2u)^2}{\sin ^22u}=\tan^2u[/tex]

Recall that cos(2u) = 1 - sin²(u). Hence:

[tex]\displaystyle \frac{(1-(1-2\sin^2u))^2}{\sin ^2 2u}=\tan^2u[/tex]

Simplify:

[tex]\displaystyle \frac{4\sin^4 u}{\sin ^2 2u}=\tan^2 u[/tex]

Recall that sin(2u) = 2sin(u)cos(u). Hence:

[tex]\displaystyle \frac{4\sin^4 u}{(2\sin u\cos u)^2}=\tan^2 u[/tex]

Square:

[tex]\displaystyle \frac{4\sin^4 u}{4\sin^2 u\cos ^2u}=\tan^2 u[/tex]

Cancel:

[tex]\displaystyle \frac{\sin ^2 u}{\cos ^2 u}=\tan ^2 u[/tex]

Since sin(u) / cos(u) = tan(u):

[tex]\displaystyle \left(\frac{\sin u}{\cos u}\right)^2=\tan^2u=\tan^2u[/tex]

We can substitute u back for x / 2:

[tex]\displaystyle \tan^2\left(\frac{x}{2}\right)= \tan^2\left(\frac{x}{2}\right)[/tex]

Hence proven.

Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months
What did Gerald pay in finance charges?
O S310
$408
O $456
$620

Answers

Answer:

Edi wow kasi pogi ako whahahhahahaha

Answer:

B

Step-by-step explanation:

82*24 = 1968

1968 - 1560 = 408

simplify  ( √ 5 ) ( 3 √ 5 )

Answers

Answer:

( √ 5 ) ( √ 5 ) 3

5*3

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

( √ 5 ) x ( 3 √ 5 )

=> 3  ( √ 5 x √5)

=> 3 x ( √25)

=> 3 x 5

=> 15

Draw the graph of y = 3x – 2 for –3 ≤ x ≤ 3

Answers

Answer:

In this case, we have a linear equation:

y = 3*x - 2

And we want to graph this in the interval  –3 ≤ x ≤ 3

Because this is a linear equation, to graph it we can just evaluate the equation in both extremes of the interval to find the two extremes of the graph.

Then we just need to connect these points with a segment, and that will be the graph of our equation.

Because the symbols used are: ≤

We need to graph the extremes with a black dot, which means that the point is included in the graph (would be different if we had -3 < x < 3)

The first extreme is when we have x = -3

y = 3*(-3) - 2 = -9 - 2 = -11

Then we have one extreme at (-3, -11)

The other is when x = 3

y = 3*3 - 2 = 9 - 2 = 7

Then the other extreme is at (3, 7)

Now we just need to draw these two points and connect them, an example of this can be seen in the image below:

What is the reflection image of P(0, 0) after two reflections, first across x = −3 and then across y = 4?

Answers

Answer:

(-6, 8)

Draw the point, draw the lines of reflection, reflect, find coordinates.

Solve for X pls due ASAP

Answers

Answer:

Step-by-step explanation:

take x as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 20 / 36

sin x = 0.55

x = [tex]sin^{-1} (0.55)[/tex]

x = 33.36

x = 33.4 degree

What is the slope of the function?

Answers

Answer:

Write function:

y = 3x+4

The slope is what we time x by, 3!

Compare the graph h(x)=1/4x^2 to the graph of f(x) = x2.

Answers

Answer:

h(x) is the image after f(x) is horizontally stretched by a scale factor of 4

Step-by-step explanation:

Given

[tex]h(x) = \frac{1}{4}x^2[/tex]

[tex]f(x) = x^2[/tex]

Required

Compare h(x) to f(x)

We have:

[tex]h(x) = \frac{1}{4}x^2[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]h(x) = \frac{1}{4}f(x)[/tex]

This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)

I need help please!!!

Answers

Answer:

answer is line m........

The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.


After how many seconds does the object reach its maximum height?


2 seconds

3 seconds

6 seconds
9 seconds

Answers

Answer:

Step-by-step explanation:

This answer can be found in the h value for the vertex of a parabola, (h, k). The k value is the max height and we were already given that information. We need to solve for h. There's an easy way and a really complicated way...I'll show you the easy way because it's actually quite useful to know, especially when doing a lot of work with quadratics!

The formula to find h is

[tex]h=\frac{-b}{2a}[/tex] and in our quadratic, a = -16, b = 96 and c = 6. Filling in what we need:

[tex]h=\frac{-96}{2(-16)}[/tex] so

h = 3

At 3 seconds the max height of 150 feet is reached.

help please, try to explain it in steps for me if u can't that's fine, ty!

Answers

Answer:

B

Step-by-step explanation:

We are given that Expression One is:

[tex]2\cdot 10^x[/tex]

And Expression Two is:

[tex]4\cdot 10^{x+y}[/tex]

We are given that the value of Expression Two is 20,000 times greater than the value of Expression One. And we want to find the value of y. In other words:

[tex]4\cdot 10^{x+y}=20000(2\cdot 10^x)[/tex]

We can divide both sides by four:

[tex]10^{x+y}=10000\cdot 10^x[/tex]

Recall that:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

Therefore:

[tex]10^x\cdot 10^y=10000\cdot 10^x[/tex]

Divide both sides by 10ˣ:

[tex]10^y=10000[/tex]

Solve for y:

[tex]\displaystyle y = \log_{10}10000 = 4[/tex]

Our answer is B.

Choose the correct simplification of the expression (x?y)?
Ох^4у^3
Ox^6y^6
Ох^4у^2
Oxy^4

Answers

C, multiply the powers in the parentheses by 2

Can someone help me understand this? Given that triangle ABC =~ triangle DEF, which of the following must be true?

Answers

Answer:

since these triangles are the same these angle must be the same

A=D

B=E

C=F

so the answer is C

Hope This Helps!!!

What is the vertex of the graph of y = x2 + 4X?
O (-2, -12)
O (-2,-8)
O(-2,-6)
O (-2,-4)

Answers

Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

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

y = x² + 4x ← is in standard form

with a = 1, b = 4, c = 0 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

Substitute x = - 2 into the equation for corresponding value of y

y = (- 2)² + 4(- 2) = 4 - 8 = - 4

vertex = (- 2, - 4 )

Which of the following functions is graphed below?

Answers

Answer:

there are no functions her pls add them for an answer:)

Step-by-step explanation:

* Which expression ((7 ^ 2) ^ 5)/(7 ^ 6) I need help

Answers

Answer:

the answer is D / 7^16...

1011+1111=in binary answer, anyone that answer me first I will follow u​

Answers

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]

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