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Morgarella [4.7K]

2 years ago

14

snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the origi

nal price.

1 answer:

Alika [10]2 years ago

8 0

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

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Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo

NikAS [45]

Answer:

$[tex]4608\sqrt{3}$ [/tex]

Step-by-step explanation:

1. $\sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}$

2. $\sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$ <em>factoring 96</em>

<em>since $\sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}$ </em>

3. $\sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>using exponent rule - $(a^{b}) ^{c} = a^{bc}$ </em>

<em> $\sqrt{2^{5} } = 2^{5/2}$ </em>

4. $2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>doing some simple simplification and $4=2^{2}$ and 6=2*3</em>

5. $2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}$

<em>collecting the roots on one side and applying exponent rule</em>

6. $\sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}$

<em>Applying exponents rule on all $\sqrt{3}$ and $\sqrt{2}$ </em>

<em>7. $2^{1/2+1/2+1/2} *2^{5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$ </em>

<em>combining all powers of 2</em>

8. $2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$

<em>Simplifying</em>

9. $2^{9} *3^{2}\sqrt{3}$

10. $512*9\sqrt{3}$

11. $4608\sqrt{3}$

3 0

3 years ago

Read 2 more answers

I WILL MARK BRAINLIEST!! Which could have been the first step in creating this construction?

Fed [463]

Answer:

Place the compass point on vertex Y and draw an arc that intersects YX and YZ

Step-by-step explanation:

Given the construction of dividing an angle inteo two equal parts.

we have to find the first step of construction.

As seen in figure the angle ∠XYZ is dividing into two equal parts.

The first step of construction is to place the needle of compass at Y and draw an arc that intersects YX and YZ.

Hence, the correct option is option C.

Place the compass point on vertex Y and draw an arc that intersects YX and YZ

8 0

3 years ago

1. (15 + 70 – 5^2) ) divide (36 – 6)<br><br> 2. (11 + 22 – 3) divide 3 - 32

Julli [10]

1) 15 + 70 - 25/36-6

85 - 25/30

= 60/30

=2

2) 11 + 22 - 3/3-32

=30/-29

=- 30/29

8 0

3 years ago

Read 2 more answers

Pls help pls pls pls

Darya [45]

Answer:

12/4 i really hope this helps i took the test and got a 100

Step-by-step explanation:

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2 years ago

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Murljashka [212]

Answer: (-3,5) would be the orgin but if you rotated it more it would be (3,-5)

Step-by-step explanation: you can use a peace of gragh paper to do that it makes it a lot easer.

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2 years ago