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Artist 52 [7]
2 years ago
7

A landscaper receives a discount on each plant purchased. The original price of each plant is x dollars. The landscaper purchase

s 20 plants for a total of (20x-80) dollars. By how much is each plant discounted?
Mathematics
1 answer:
prisoha [69]2 years ago
7 0

Answer:

$4

Step-by-step explanation:

Discount is a form of consideration in price or amount given to a customer on a sale of goods. It can be deduced from the question that;

The original price of each plant = $x

Number of plants purchased = 20

Price of the number of plants purchased without discount = $20x

Amount paid for the 20 plants with discount = $(20x - 80)

Thus,

The discount on the 20 plants = $80

Discount on each plant = \frac{total discount on plants}{number of plants purchased}

                                       = \frac{80}{20}

                                       = $4

Discount on each plant = $4

Therefore, each plant was discounted by $4.

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Need help please help
lilavasa [31]

Answer:

27 of the pets are dogs.

Step-by-step explanation:

Real easy way to do this, treat 45 (the total) as 100. So, do 45/100 then multiply the result of that by 60, and you end up with 27.

45/100=0.45

0.45*60=27

7 0
2 years ago
Alan has forgotten his 4-digit PIN code.He knows it begins with a 6 and the 4 digits make an even number.How many different sets
Oxana [17]

Answer:

500.

Step-by-step explanation:

The last digit must end with 0, 2, 4, 6, 8   for the Pin code to be even.

The middle 2 digits may be any numbers.

So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.

So  as there are 5 possible last digits , the total  possible sets of digits

= 5 * 100

= 500.

4 0
2 years ago
What is the value of the expression 3y-4xy^2 when x=3 and y=-6
Rama09 [41]
-450 and can i get brainliest
8 0
3 years ago
OT bisects ∠DOG. Find the measure of ∠DOG if ∠DOT = 4x + 4 and ∠TOG = 5x – 3
g100num [7]

Answer:

\huge\boxed{64^o}

Step-by-step explanation:

If OT is bisects ∠DOG, then m∠DOT = m∠TOG. Therefore

4x+4=5x-3    |<em>subtract 4 from both sides</em>

<em />4x+4-4=5x-3-4\\\\4x=5x-7<em>|subtract 5x from both sides</em>

<em />4x-5x=5x-5x-7\\\\-x=-7<em>|change the signs</em>

<em />x=7<em />

Calculate the measure of ∠DOG

m∠DOG = 2(m∠DOT)

m\angle DOG=2(4\cdot7+4)=2(28+4)=2(32)=64

6 0
2 years ago
louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is
OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0
2 years ago
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