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3 years ago

A pasta factory made 699.2 pounds of pasta in 8 minutes. How much pasta,on average, did the factory make each minute?

Mathematics

2 answers:

lozanna [386]3 years ago

8 0

Answer:

87.4

Step-by-step explanation:

699.2/8=87.4

Murrr4er [49]3 years ago

5 0

Answer:87.4 pounds of pasta per min

Step-by-step explanation: you would divide 699.2 by 8

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Airida [17]

Answer:

Step-by-step explanation:

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2 years ago

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An object has volume 36 cubic inches. A box has side lengths 1 foor by 3 inches by 4 inches.

nevsk [136]

Answer:

<u>4 Objects can fit in the box</u>

Step-by-step explanation:

First, translate the box's 1-foot side into 12 inches. Now multiply all the box's sides together to get 12*3*4. This will equal 144 cubic inches. Now divide 144 by 36 to get 4.

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3 years ago

What is the solution of

kobusy [5.1K]

Answer:

Third option: x=0 and x=16

Step-by-step explanation:

$\sqrt{2x+4}-\sqrt{x}=2$

Isolating √(2x+4): Addind √x both sides of the equation:

$\sqrt{2x+4}-\sqrt{x}+\sqrt{x}=2+\sqrt{x}\\ \sqrt{2x+4}=2+\sqrt{x}$

Squaring both sides of the equation:

$(\sqrt{2x+4})^{2}=(2+\sqrt{x})^{2}$

Simplifying on the left side, and applying on the right side the formula:

$(a+b)^{2}=a^{2}+2ab+b^{2}; a=2, b=\sqrt{x}$

$2x+4=(2)^{2}+2(2)(\sqrt{x})+(\sqrt{x})^{2}\\ 2x+4=4+4\sqrt{x}+x$

Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

$2x+4-4-x=4+4\sqrt{x}+x-4-x\\ x=4\sqrt{x}$

Squaring both sides of the equation:

$(x)^{2}=(4\sqrt{x})^{2}\\ x^{2}=(4)^{2}(\sqrt{x})^{2}\\ x^{2}=16 x$

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

$x^{2}-16x=16x-16x\\ x^{2}-16x=0$

Factoring: Common factor x:

x (x-16)=0

Two solutions:

1) x=0

2) x-16=0

Solving for x: Adding 16 both sides of the equation:

x-16+16=0+16

x=16

Let's prove the solutions in the orignal equation:

1) x=0:

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(0)+4}-\sqrt{0}=2\\ \sqrt{0+4}-0=2\\ \sqrt{4}=2\\ 2=2$

x=0 is a solution

2) x=16

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(16)+4}-\sqrt{16}=2\\ \sqrt{32+4}-4=2\\ \sqrt{36}-4=2\\ 6-4=2\\ 2=2$

x=16 is a solution

Then the solutions are x=0 and x=16

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3 years ago

5 thousand 2 tens 4 ones +4 thousand 3 hundreds 2 ones

Digiron [165]

9 thousands 3 hundreds 2 tens 6 ones
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3 years ago

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Please help w steps! asap

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Answer:

(4,6)

Step-by-step explanation:

The midpoint=( $\frac{5+3}{2} ,\frac{11+1}{2} )$

=(4,6)

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3 years ago