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lara31 [8.8K]
2 years ago
13

The price of a round trip ticket to San Francisco increases from $525.00 to $650.00. To the nearest whole percent, what is the p

ercent of increase?
Mathematics
2 answers:
rosijanka [135]2 years ago
8 0
The answer is 24% ..
Karo-lina-s [1.5K]2 years ago
7 0

The formula for percentage increase is given as:-

Percentage Increase = ( New Price - Old Price ) /old price * 100

Now

old price = $525

New Price = $650

lets plug the values in the formula

Percentage Increase = \frac{(650 - 525)}{525} *100

=\frac{125}{525}*100 =0.238*100 = 23.8%

=24%

Hence the price increases by 24%

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The factorization of the expression of 43x³ + 216y³ is

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Step-by-step explanation:

The sum of two cubes has two factors:

1. The first factor is \sqrt[3]{1st} + \sqrt[3]{2nd}

2. The second factor is ( \sqrt[3]{1st} )² - ( \sqrt[3]{1st} ) ( \sqrt[3]{2nd} ) + ( \sqrt[3]{2nd} )²

Ex: The expression a³ + b³ is the sum of 2 cubes

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∵ The expression is 343x³ + 216y³

∵ \sqrt[3]{343x^{3}} = 7x

∵ \sqrt[3]{216y^{3}} = 6y

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∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Learn more:

You can learn more about factors in brainly.com/question/10771256

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6 0
2 years ago
Line segment ON is perpendicular to line segment ML, and PN = 10.
Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

MO=OL=radius\ of\ circle=25\ units

ON=25\ units

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Applying the Pythagorean Theorem in the right triangle MPO

MO^{2} =MP^{2}+PO^{2}\\ MP^{2}=MO^{2}-PO^{2}\\ MP^{2}=25^{2}-15^{2}\\ MP^{2}=400\\ MP=20\ units

ML=2*MP\\ ML=2*20\\ ML=40\ units

Find the area of triangle MOL

A=\frac{1}{2}ML*PO\\ \\ A=\frac{1}{2}*40*15\\ \\ A=300\ unit^{2}

therefore

the answer is

the area of triangle MOL is

300 square units

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