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NemiM [27]
3 years ago
8

A rectangular patio has an area of 180 square feet. The width of the patio is 3 feet less than the length.

Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer:

Step-by-step explanation:

A=LW

180=X(X-3)

180=x^2-3X

x^2-3X-180=0

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if your good at maths this for you, lets see if u get em correct, in return I'll brainlist you/ give u 5 star n a like! ​
k0ka [10]

Answer:

a) 13/20 and 0.65

b) $13

c) $33

d) $455

e) $3.3

f) $29.7

g)$339.5

Step-by-step explanation:

Each hoodie costs the trader $20 and he intends to sell it at a Percentage markup of 65%

a) Write a percentage Markup value as a

I) Fraction

Percentage Markup = 65%

65% = 65/100 = 13/20

II) Decimal

= 65% = 65/100 = 0.65

b) Calculate the value of Markup of each hoodie

This is calculated as:

65% × Cost price

= 65% × $20

0.65 × $20 = $13

c) What price would the hoodies be?

Cost price of hoodie = $20

Percentage Markup = 65%

The selling price = x

Percentage Markup = Selling price - Cost price/Cost price

65% = x - $20/$20

Cross Multiply

0.65 × $20 = x - $20

13 = x - $20

x = $20 + 13

x = $33

Therefore, the selling price = $33

d) If the seller sells 35 hoodies on her first day, what is her profit.

Profit = Selling price - Cost price

Profit = $33 × 35 hoodies - $20 × 35 hoodies

Profit = $1155 - $700

Profit = $455

We are told that to improve sales, the seller gives a discount of 10% on selling price

Hence:

Selling price = $33

e) What is the discount amount for each hoodie

Discount Amount = % Discount × Selling price

Discount Amount = 10% × $33

= $3.3

f) What is the new selling price =

Old selling price - Discount amount

= $33 - $3.3

= $29.7

g) What profit does the seller make on each hoodie after the 10% discount for 35 hoodies

Profit = Selling price - Cost price

Profit = $29.7 × 35 hoodies - $20 × 35 hoodies

Profit = $1039.5 − $700

= $339.5

5 0
3 years ago
Prove the following theorem indirectly. We will give you a start.Prove that a triangle cannot have two right angles. A triangle
nordsb [41]
A triangle can't have two right angles because there is 180° in a triangle. Each right angle is 90° so it would be impossible
4 0
3 years ago
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
Serggg [28]

Answer:

The last one (x,y)->(x+3,y+5)

Step-by-step explanation:

Whenever you move the x coordinate it’s the opposite, for example translated 3 units the the left is +3 and translated 3 units to the right is -3.

Whenever you move the y coordinate it’s normal so up 5 units means +5 and down means -5.

4 0
3 years ago
Read 2 more answers
Calculate the angle to the nearest degree: csc (x) = 1.0353
sammy [17]

Answer:

75^{\circ}

Step-by-step explanation:

Given: \csc (x) = 1.0353

To find: angle to the nearest degree

Solution:

A triangle is a polygon that has three sides, three angles ,and three vertices.

Trigonometry explains the relationship between the sides and angles of the triangle.

The angle can be expressed in two forms: degrees or radians.

\csc (x) = 1.0353\\x=74.995\approx 75^{\circ}

5 0
3 years ago
How much is 78ml when you turn it to litres<br>​
algol [13]

1000ML = 1 L

78ML ?

78*1/1000 = 0.078 L

5 0
2 years ago
Read 2 more answers
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