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3 years ago

If a 35 rope is cut into two sections with one section 6 times as long as the other section, how long is the shorther piece

2 answers:

7 0

Let x = will be the shorter piece. Let 6x = will be the longer piece

So: x+6x=35 7x=35 x=5 The shorter piece is 5ft long

KiRa [710]3 years ago

5 0

If the rope is 6 times bigger than the smaller rope equals 7 parys so 35/7=5 so the small rope is 5 and the big one is 30 altogether it is 35.

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What are the solutions to the quadratic equation (5y + 6)2 = 24?

Ivenika [448]

Answer:

y = $\frac{2\sqrt{6} }{5} -\frac{6}{5}$ OR y = $\frac{-2\sqrt{6} }{5} -\frac{6}{5}$

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = $\frac{2\sqrt{6} }{5} -\frac{6}{5}$ OR y = $\frac{-2\sqrt{6} }{5} -\frac{6}{5}$

And, those are the solutions to the equation.

7 0

3 years ago

Read 2 more answers

A designer enlarged both the length and the width of a rectangular carpet by 60 percent. The new carpet was too large so the des

Snowcat [4.5K]

x= length, y=width

Both the length and width were increased by 60% so now they are:

1.6x and 1.6y

Then they were both reduced by 25% so now they are 75%(100-25) of their previous size so they are:

0.75(1.6x) and 0.75(1.6y)

Their area would be length * width so it would be:

0.75(1.6x) * 0.75(1.6y)

Simplified this would be:

1.2x * 1.2y

Simplified more it would be :

1.44xy which is also 144% of xy which is a 44% increase of the original area (xy)

So the answer is:

44%

5 0

3 years ago

–6x ≥ 72 solve (please help me because I'm not sure if my answer is correct or not)

Alik [6]

Yes you are correct. You divide both sides by -6 to isolate x. Dividing both sides by a negative number will flip the inequality sign.

If you need to graph this, then you'll have a closed circle at -12 on the number line. Then you'll have shading to the left of this closed circle. The closed circle indicates "include this endpoint as part of the shaded solution set".

7 0

3 years ago

Read 2 more answers

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Rus_ich [418]

$rule = {a}^{2} + {b}^{2} = {c}^{2}$

${18}^{2} + {26}^{2} = {c}^{2}$

$324 + 676 = 1000$

$\sqrt{1000} = 31.62$

Answer = A) 31.62

3 0

3 years ago

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prisoha [69]

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3 0

3 years ago