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Degger [83]
3 years ago
9

The perimeter of a rectangular field is 278 m. If the width of the field is 61 m, what is its length?

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

length is 78

Step-by-step explanation:

Perimeter of rectangle is P = 2 (l +w)

278 = 2(l + 61)

l = 78

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The numbers of cars (c) in the parking lot increases when the parking fee (f) decrease. Write the correct equation for this scen
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So when one goes up, the other goes down. This is an inverse equation.

An inverse equation looks like this: y = 1/x

In this case, when parking fee (f) decreases, cars (c) increase.
You know which side to put each variable on using the chart they gave you.
f         | c
20.00  15        (20.00 = x/15) x=300
30.00  10        (30.00 = x/10) x=300

So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00

6 = 300/c   Multiply both sides by c.
6c = 300    Divide both sides by 6.
c = 50 cars

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Find the value of x and y from ordered pair.<br>(x+y,2x-y)=(13,2)​
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Answer:

x=5, y=8

Step-by-step explanation:

x+y=13

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add these two equations

3x=15

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apply this value in x+y=13

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Match each expression written in standard form to the equivalent expression in factored form
den301095 [7]

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

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