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3 years ago

Percent into ratio words problem

1 answer:

6 0

First you need to c<span>onvert the given percentage into fraction by dividing it by 100 and removing percentage symbol (%).
Then you reduce the fraction into simplest forms.
Finally you write the </span> fraction turned simplest form to a ratio by writing
the numerator first,then the denominator.
Example:50%= $\frac{50}{100}$ $= \frac{1}{2}$ .

=1:2

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Built around 2600 BCE, the Great Pyramid of Giza in Egypt is 485 ft high (due to erosion, its current height is slightly less) a

Morgarella [4.7K]

Answer:1.69*10^12 J

Step-by-step explanation:

From figure above, using triangle ratio

485/755.5=y/l. Cross multiplying 485l=755.5y Divide via 485) hence l= 755.5y/485

Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3

Force slice = 150*755.5^2.y^2.∆y/485^2

From figure 2 in the attachment work done for elementary sclice

Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2

= (150*755.5^2*y^2)(485-y)∆y/485

To calculate the total work we integrate from y=0 to y= 485

Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485

Integrating the above

W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485

W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)

Work done 1.69*10^12joules

7 0

3 years ago

David made a scale model of the Sam Houston Statue. The statue has an actual height of 67 feet. David's model used a scale in wh

Y_Kistochka [10]

Answer:

6.7 inches

Step-by-step explanation:

the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.

7 0

2 years ago

PLEASE HELP!!! At the state fair 6 employees were paid $6.93 an hour. They worked for 9 hours at regular price and then for 5 ho

castortr0y [4]

Answer:

Your answer should be 443.82

Step-by-step explanation:

Ok, so if 6 workers were paid 6.93 an hour each and worked 9 hours each then you would do 6.93 x 9 for the number of hours and the pay for each hour, which is 62. 37. Then you would times 62.37 by 6 because you have 6 workers and the question asks for how much they made in TOTAL. 62.37 x 6 is 344.22, then you still have you overtime hours. So if each worker makes 3.32 for every overtime hour then you would do 3.32 x 5 for the number of hours. And that equals 16.60, then you would multiply that by 6 for the number of workers, 16.60 x 6 = 99.60. So in total for regual hours they made 344.22, and in total for overtime hours they made 99.60. Now you add those to to get you overall price which is 443.82. And that should be your answer

Hope I did some good :) Have a great day!

7 0

2 years ago

Let a and b be non-zero integers

r-ruslan [8.4K]

Answer:

The correct answer is d

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Match the information on the left with the appropriate equation on the right.

zaharov [31]

Answer:

See attachment below

Step-by-step explanation:

For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,

y = - 2 / 3x + 3,

y + 2 / 3x = 3,

2x + 3y = 9 - Option C

_______________________________________________________

Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.

- 1 = ( - 3 / 2 )( 4 ) + b,

b = 5,

Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,

y = - 3 / 2x + 5,

2y = - 3x + 10,

- 2y = 3x - 10 - Option A

_______________________________________________________

( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,

Slope = 3 - 1 / 6 - 3 = 2 / 3

Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,

3 = ( 2 / 3 )( 6 ) + b,

b = - 1,

y = 2 / 3x - 1 = Option D

Take a look at the attachment below for further help;

6 0

2 years ago