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ratelena [41]
2 years ago
13

The perimeter of a rectangular flower garden is 66m and its area is 272m^2. Find the length of the garden.

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
6 0
So we have lengths a and b and are given:

2a+2b = 66 => a+b = 33 => a= 33-b
a*b = 272

plug in one into the other:

(33-b)b = 272 => -b^2 +33b - 272 = 0

Can be factored as (b-16)(b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.

So a=16 and b=17 or vice versa.


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Darius lives in Ohio and pays 5.5% in sales tax. If he just bought a sweatshirt that cost $24, what was the total amount he paid
ollegr [7]

In this question, we are required to find the total amount he paid to buy the shirt.

It is given that sales tax is 5.5 % over the amount paid.

The cost price of the shirt = $ 24.

The total amount will be = Cost price + 5.5 % of Cost price

Or

Total amount paid = $ 24 × 1.055 (i.e. 100 % + 5.5 %)

Total amount = $ 24 + (5.5 % × $ 24)

Total amount paid = $ 24 + $ 1.32 = $ 25.32


8 0
3 years ago
Read 2 more answers
Which equation can be solved by using this system of equations?
andrew11 [14]

the equation that we can solve using the given system of equations is:

3x^5 - 4x^4 - 11x^3 + 2x^2 - 10x + 15 = 0

<h3>Which equation can be solved using the given system of equations?</h3>

Here we have the system of equations:

y = 3x^5 - 5x^3 + 2x^2 - 10x + 4

y = 4x^4 + 6x^3 - 11

Notice that both x and y should represent the same thing in both equations, then we could write:

3x^5 - 5x^3 + 2x^2 - 10x + 4 = y = 4x^4 + 6x^3 - 11

If we remove the middle part, we get:

3x^5 - 5x^3 + 2x^2 - 10x + 4  = 4x^4 + 6x^3 - 11

Now, this is an equation that only depends on x.

We can simplify it to get:

3x^5 - 4x^4 - 11x^3 + 2x^2 - 10x + 15 = 0

That is the equation that we can solve using the given system of equations.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

4 0
1 year ago
Evaluate 48/6-10/3 please and thank you :)))
vodomira [7]

Answer:

14/3

Step-by-step explanation:

Simplify the following:

48/6 - 10/3

Hint: | Reduce 48/6 to lowest terms. Start by finding the GCD of 48 and 6.

The gcd of 48 and 6 is 6, so 48/6 = (6×8)/(6×1) = 6/6×8 = 8:

8 - 10/3

Hint: | Put the fractions in 8 - 10/3 over a common denominator.

Put 8 - 10/3 over the common denominator 3. 8 - 10/3 = (3×8)/3 - 10/3:

(3×8)/3 - 10/3

Hint: | Multiply 3 and 8 together.

3×8 = 24:

24/3 - 10/3

Hint: | Subtract the fractions over a common denominator to a single fraction.

24/3 - 10/3 = (24 - 10)/3:

(24 - 10)/3

Hint: | Subtract 10 from 24.

| 2 | 4

- | 1 | 0

| 1 | 4:

Answer:  14/3

5 0
3 years ago
Which sequences are geometric? check all that apply.
iVinArrow [24]
It’s probably most definitely the third one but I really don’t know.
4 0
2 years ago
What is the rate of change between (2,2) and (17,7)
choli [55]

Answer:

1/3

Step-by-step explanation:

(7-2)/(17-2)=5/15=1/3

5 0
3 years ago
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