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3 years ago

225 is the original price the discount price was 180 what is the percent in the whole bill saved

Mathematics

1 answer:

RideAnS [48]3 years ago

7 0

(original - new)/original = discount

(225 -180)/225 = discount

45/225 = discount

.2 = discount

change to a percent, multiply by 100

20 percent

Answer: 20 percent

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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

Gelneren [198K]

Answer:

$v_2 \approx 1.12246\ m.s^{-1}$

$v_{10}\approx 1.4678\ m.s^{-1}$

$v_{100}\approx 1.4678\ m.s^{-1}$

Step-by-step explanation:

Mass of particles that a river can transport, $m\propto\ v^6$

where:

v = velocity of river flow

When $v=1\ m.s$

then the mass transported, $m \propto 1^6$

When mass is twice:

$v=\sqrt[6]{2}$

$v_2 \approx 1.12246\ m.s^{-1}$

When mass is 10 times:

$v=\sqrt[6]{10}$

$v_{10}\approx 1.4678\ m.s^{-1}$

When mass is 100 times:

$v=\sqrt[6]{100}$

$v_{100}\approx 1.4678\ m.s^{-1}$

7 0

3 years ago

A walkway is being installed around a rectangular playground. The playground is 30 feet by 12 feet, and the total area of the pl

worty [1.4K]

Answer:

10.3

Step-by-step explanation:

From these question, we can illustrate the playground has a small rectangle with 30x12ft

the walkway is around it with an area of 1288ft²

the playground area = 30 x 12 = 360ft²

the length dimension of the walkway is 30+y+y( these is because the walkway is round the playground in two sides) = 30 +2y

the breadth dimension of the walkway is 12+y+y ( these is because the walkway is round the playground in two sides) = 12+2y

Area of walkway = (30+2y)(12+2y)= 30(12+2y)+2y(12+2y) = 360+60y+24y+4y²= 360+84y+4y²

The total area = 1288ft²

The total area = area of walkway - area of playground

1288ft² = 360+84y+4y² - 360

choose like terms

1288 = 360-360+84y+4y²

1288 = 84y+4y²

divide by 4

322= 21y+y²

y²+21y-322 =0

using quadratic formula

x= (-b±√b²-4ac)/2a = {-21±√21²-4(1)(-322)}/2x1 = {-21±√441+1288}/2x1 = -21±√1729/2

-21+√1729/2 -21-√1729/2

√1729 = 41.5812457726

-21+√1729/2 -21-√1729/2

{-21+41.5812457726}/2 {-21-41.5812457726}/2

20.5812457726/2 -62.5812457726/2

10.2906228863 -31.2906228863

we disregard the negative sign

our width is 10.2906228863 ≅10.3

4 0

3 years ago

Read 2 more answers

Mike went shopping at the Nike outlet in Rehoboth Beach, DE. There is no additional sales tax in the state of Delaware. He bough

Dahasolnce [82]

Answer:

$25 each pair of shorts

Step-by-step explanation:

5(15)+2x=125

2x=50

x = 25

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3 years ago

Read 2 more answers

Which simplified fraction is equal to 0.53 with the three repeating?

topjm [15]

Answer:

24/46 = 0.52173913

8/15 = 0.53333333

42/90 = 0.46666666

5/9 = 0.55555555

answer is 8/15

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3 years ago

#19 how do you do the work???!

Semenov [28]

Answer:

$x=\frac{1}{3}$

Step-by-step explanation:

move the terms with $x$ to the left side of the equation:

add 3x to both sides

$3x-1+3x=1$

add 3x and 3x

$6x-1=1$

move all term not containing $x$ to the right side:

add 1 to both sides of the equation

$6x=1+1$

$6x=2$

divide each term by 6

$\frac{6x}{6}=\frac{2}{6}$

$x=\frac{2}{6}$

simplify the fraction

$x=\frac{1}{3}$

8 0

3 years ago