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]
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
Simplify the expression....
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
Here's a little something that will tease your brain. I doubt someone will answer this
Answer:
500ml orange juice is the most cost effective
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answer:
2400
2640
360
Step-by-step explanation:
I am not sure the description is totally clear.
my assumptions are (based on my interpretations of the text) :
the retailer buys from the dealer with 15% discount.
but the retailer has to sell the jacket for the same price as the dealer.
so, both mark the sale price as 2400.
if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).
15% = 2400 × 15/100 = 24 × 15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.
now, the final price is to include also 10% VAT
100% = 2400
1% = 2400 / 100 = 24
10% = 24 × 10 = 240
so,
final price = SP + VAT = 2400 + 240 = 2640
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
4.2 To buy a new car is not a very good investment. In the first year the car will
decrease in value by 25%.
4.2.1
If the car costs R200 000, what will it be worth after 1 year?
Given:
In the first year, the car will decrease in value by 25%.
The cost of a car is Rs. 200,000.
To find:
The worth of the car after 1 year.
Solution:
The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:
[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]
[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]
[tex]Worth=200000-50000[/tex]
[tex]Worth=150000[/tex]
Therefore, the worth of the car after 1 year is Rs. 150,000.
On the image below, which is the correct answer?
Answer:
d
Step-by-step explanation:
its the correct answer
Hope this helps:)
9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3
Answer:
Volume of cone = 33.49 inch³
Step-by-step explanation:
Missing information;
Height of cone = 8 inch
Diameter of cone = 4 inch
Find:
Volume of cone
Computation:
Radius of cone = Diameter of cone / 2
Radius of cone = 4 / 2
Radius of cone = 2 inch
Volume of cone = [1/3][πr²h]
Volume of cone = [1/3][(3.14)(2)²8]
Volume of cone = [1/3][(3.14)(4)8]
Volume of cone = [1/3][(3.14)(32)]
Volume of cone = [1/3][100.48]
Volume of cone = 33.49 inch³
mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?
state wether the product of √3 and √9 is rational or irrational. explain your answer
√9 is rational and √3 irrational number
Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared
Answer:
55.1 ft ; 236.7 ft^2
Step-by-step explanation:
radius = 7.5 ft
Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft
Perimeter of the rectangle = 4 * 2 = 8 ft
Total perimeter = 55,12389 ft
Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2
Area of the rectangle = 4 * 15 = 60 ft^2
Total area = 236,714587 ft^2
PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
Step-by-step explanation:
