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Setler79 [48]
3 years ago
8

the area of a rectangle garden is 38 1/4 square meters.The width of the garden is 4 1/2 meters.Find the length of the garden.

Mathematics
1 answer:
never [62]3 years ago
4 0
Area = 38 1/4 = 153/4

Width = 4 1/2 = 9/2

Area = Length x Width

Length = Area/Width

So divide both of them:
\sf{ \frac{153}{4} \div \frac{9}{2} =\sf{ \frac{153}{4} \times \frac{2}{9} = \frac{9 \times 17}{2\times 2}\times \frac{2}{9} = \frac{17}{2}

So the length is equal to \boxed{\sf{\frac{17}{2}}}

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A grocery store sells a bag of 5 potatoes for $2. What is the unit cost if each potato in the bag
Dmitrij [34]

Answer:

Unit cost: $2.50 per potato

Step-by-step explanation:

Set up a proportion:

<h2><u>5 potatoes</u> = <u>x potatoes</u></h2><h2>2 dollars         1 dollar</h2><h2 />

cross multiply:

2x = 5


divide by 2 on both sides

x= 5/2 or 2.5

6 0
3 years ago
2x^2+5x+3/x^2-3x-4 divided by 4x^2+2x-6/x^2-8x+16
Masja [62]

Answer: \frac{x-4}{2x-2}

Step-by-step explanation:

\frac{2x^2+5x+3}{x^2-3x-4} divided by \frac{4x^2+2x-6}{x^2-8x+16} is the same thing as multiplying \frac{2x^2+5x+3}{x^2-3x-4} by \frac{x^2-8x+16}{4x^2+2x-6}.

The equation we get is:

\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}

With this equation, we can factor each equation:

\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}

We can cancel out like terms since they would be dividing each other:

\frac{x-4}{2x-2}

8 0
3 years ago
15-3/4x=-9 solve the equation
natulia [17]
15 - 3/4x = -9

-3/4x +15 = -9

-3/4x = -24

(-3/4x) * (4/-3) = (4/-3) * -24

x = 32
5 0
4 years ago
Factor the expression 54x+81 using GCF
navik [9.2K]
To factor <span>54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.

54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81

9 is the gcf, so factor it out.

</span><span>54x+81 = <u>9</u>(6x + 9)</span><span>

</span>
4 0
4 years ago
Please help please it's on topic systems of equations
ankoles [38]
The solution is (4, 125) . This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect .
5 0
3 years ago
Read 2 more answers
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