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3 years ago

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Darcy ordered 18 boxes of red balloons and 12 boxes of blue balloons for a party.She ordered a total of 240 balloons. How many b

alloons are in each box?

1 answer:

olga2289 [7]3 years ago

8 0

Answer: 8 balloons per box
8x18 + 8x12 = 144+96 = 240

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2 years ago

Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent th

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Answer:

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = $x$ .

The number of quarters = $y.$

So, the total number of coins:

$x+y=15.$

He had 3 more quarters than nickels.

Thus,

$y=x+3$ .....(1)

Now, to get the solution:

$x+y=15$

Substituting the equation (1):

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<em>Subtracting both sides by 3 we get:</em>

<em /> $2x=12$ <em />

<em>Dividing both sides by 2 we get:</em>

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<em>The number of nickels = 6.</em>

Now, substituting the value of $x$ in equation (1):

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3 years ago

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3 years ago

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Answer:

Length = 5 feet

Step-by-step explanation:

The formula for finding the area of a rectangle is:

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The problem said that the width is 1 foot shorter than the length. This can be shown like this:

Width = (Length - 1)

Going back to our formula for finding area, we can replace Width with (Length - 1). We can also put 20 as the area since the problem already told us that the area of the rectangle is 20 square feet. By now, your equation should look similar to this:

Area = Length x Width

Area = Length x (Length - 1)

20 = Length x (Length - 1)

Now, we can go on to figuring out what the length is. For now, the length is going to be referred to as ' x '.

20 = Length x (Length - 1)

20 = (x)(x - 1)

*Distribute x to (x - 1)*

20 = x² - x

*This is beginning to look like a quadratic equation. Let's move all of the terms over to one side.*

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This would be the factored version of our equation because the factors -4 and 5 give us a product of -1 but also give us a sum of -1.

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From here, our options are narrowed down to 5 and -4. As we know, lengths cannot be real which means...

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~Hope this helps!)

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3 years ago