It takes 3535 feet of ribbon to make a pin. You have 9 feet of ribbon. How many pins can you make?

2 answers:

8 0

I'm pretty sure 0 pins can be made. You only have 9 feet, when you need 3535 feet to make a pin. It's not possible to make a pin.

USPshnik [31]2 years ago

7 0

You can make 0 pins.

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The sum of 2 consecutive integers is 21 what’s the two numbers

aleksklad [387]

Answer:

10 and 11

Step-by-step explanation:

Let the first integer be x.

Then the next one, since it's consecutive, must be (x+1).

The two equals 21. Thus:

$(x)+(x+1)=21$

Combine like terms:

$2x+1=21$

Subtract 1 from both sides:

$2x=20$

Divide both sides by 2:

$x=10$

So, the first integer is 10.

And the second integer is 10+1=11.

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3 years ago

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A bag of peanuts is 4 1/5 ounces. If you have 3/5 of a bag, how many ounces does it weigh?

Nana76 [90]

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2 years ago

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Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v = 5i + j + 3k.

Assoli18 [71]

Answer:

94 cubic units

Step-by-step explanation:

The volume of this parallelepiped (the product of area of its base and height) is equal to the absolute value of the scalar triple product $|\vec{t}\cdot (\vec{u}\times \vec{v})|$

Since

$\vec{t}=3\vec{i}-4\vec{j}-6\vec{k}=(3,-4,-6)\\ \\\vec{u}=3\vec{i}-7\vec{j}-7\vec{k}=(3,-7,-7)\\ \\\vec{v}=5\vec{i}+\vec{j}+3\vec{k}=(5,1,3)$

we have

$|\vec{t}\cdot (\vec{u}\times \vec{v})|=\left|\left|\begin{array}{ccc}3&-4&-6\\3&-7&-7\\5&1&3\end{array}\right|\right|=|3\cdot (-7)\cdot 3+(-4)\cdot (-7)\cdot 5+3\cdot 1\cdot (-6)-5\cdot (-7)\cdot (-6)-3\cdot (-7)\cdot 1-3\cdot (-4)\cdot 3|=|-63+140-18-210+21+36|=|-94|=94\ un^3.$