Sonny substituded 5 for x in the proportion 16/x =48/15 and cross to multiply to get 240 =240 why is this?

Answers

Answer 1
Answer:

If x = 5 then 5*48 = 240 and 16*15 equals 240 equals eachother.

Another perspective:   Divide 16 by 5  then divide 48/15

        16/5=3.2         48/15=3.2      Hence the porportions are the same.


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12.57 round to the nearest tenth

Answers

You get 12.6

After the decimal starts the the tenth place. In order to round to the tenth place, we need to know the hundredth place which is the 7. If the hundredth place is 5 or greater then we round up and if it's 4 or lower then we keep the tenth place the same number as it is before.

Since the hundredth place is greater than or equal to 5, we round up the tenth place to 6. If you have any questions then leave a comment. Good luck!
12.57 rounded to the nearest tenth is 12.6 because the 5 is the tenth place and you have to look at the number to the right of that which is 7. 5 and up rounds up, so the 5 becomes 6 and the 7 disappears.

do sets always have an intersection that is not the empty set? provide an example to support your conclusion?

Answers

i don't know sorry but you can ask some one else error 404

Subtract 14 inches from 4 feet, 2 inches.10 inches
3 feet
34 inches
5 feet

Answers

If you would like to subtract 14 inches from 4 feet 2 inches, you can calculate this using the following steps:

1 foot = 12 inches 
4 feet 2 inches = 50 inches
4 feet 2 inches - 14 inches = 50 - 14 = 36 inches
36 inches = 3 feet 

The correct result would be 3 feet.

3 ft. because 4 ft. converted to inches is 48 in. + 2 in. - 14 in. = 3 ft.

1. What is the ratio of PQ to XY?

Answers

Answer:

1 : 5

Step-by-step explanation:

The ratio of PQ ; XY = 5 : 25 = 1 : 5 ← in simplest form

How do you solve...0=-5t^2+20t+1

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there were 2 solutions that i came up with. Here is the first one. I rearranged the  eqaution by subtracting what is to the right of thr equal sign. Multiply the coefficeint of the first term by the constant 5 x (-1)= -5. Then you would find 2 factors of -5 whose sum equals the coefficient of the middle term which is 20. -5+1= -4 and  -1+5=4.  the eqaution then comes to 5t^2-20t-1=0. you would solve  5t^2-20t-1=0. you would divide both sides of the equal sign by 5. t^-4t-1/5=0. then t^2-4t=1/5. add 4 to both sides of the equation.  so we get 21/5+ 4 + 4t -t^2=21/5. it then comes out to be t^2-4t+t=t-2^2. according to the law of transitivity it is t-2^2=21/5.

 t =(20+√420)/10=2+1/5√ 105 = 4.049 

How many degrees are there in each exterior angle of an equilateral triangle

Answers

120º 
:) 
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