Y varies directly as x. if x =5 when y=12. find x when y=30

Answers

Answer 1
Answer: x = 5 ... y = 12
x = ? ... y = 30

If you would like to know the value of x when y = 30, you can calculate this using the following steps:

5 * 30 = x * 12
x * 12 =150    /12
x = 150 / 12
x = 12.5

The result is 12.5.

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How do I solve 2x-3y=-1 and y=x-1 with substitution?

Answers

2x-3y= -1 (label 1)
y=x-1 (label 2)
sub 2 in 1
2x-3(x-1)= -1
2x-3x+3= -1
-x+3= -1
-x=-4
x=4
sub x=4 into 2
y=4-1
y=3

therefore x=4 and y=3 

Ken walked 300 feet at 4ft/s and then walked 250 feet at 5ft/s . How long did he walk?

A.
50 seconds

B.
125 seconds

C.
20 seconds

D.
550 seconds

Answers

300 ft at 4 ft /s 
= 300/4= 75 seconds 
then he walked 250ft at 5ft/s 
= 250/5
= 50 seconds 
in total he walked 75+50 = 125 seconds
Therefore the answer is B) 125 seconds 

77/200 written as a decimal

Answers

You want it to be out of 100% so divide both 77 and 200 by 2.
Once you divide it you will get 38.5/100
The decimal form of this is 38.5
0.385. 77 divided by 200 is 0.385

What is 2 2/3 - 3/5?

Answers

2 2/3 - 3/5

First, we can start by changing 2 2/3 to an improper fraction. To do this, we can use the rule: a b/c = ac+b/c. All we need to do is insert our numbers into the form of the rule.
(2 * 3 + 2)/(3) -  (3)/(5)

Second, we can now start simplifying. (2 × 3 = 6 and 6 + 2 = 8). 
(8)/(3) -  (3)/(5)

Third, now we have change our denominators to be the same. To do this, we can start out by finding the least common denominator (LCD). List the multiples of both of the current denominators (3 and 5) and find the first common one.

Multiples of 3: 3, 6, 9, 12, 15
Multiples of 5: 5, 10, 15

Since 15 is our first common multiple, it is now our LCD. 

Fourth, now we can multiply to change our denominators. Using our current denominators, we have to multiply by let's say (x / a variable). Basically, what can you multiply by 3 to get 15? That would be (3 × 5 = 15). For our other fraction, what would we multiply by 5 to get 15? (5 × 3 = 15). Remember, whatever you do to the bottom you must do to the top.
(8 * 5)/(3 * 5) -  (3 * 3)/(5 * 3) =  (40)/(15) -  (9)/(15)

Fifth, we can now combine our denominators, which will make us have to add both of the numerators together.
(40 - 9)/(15) =  (31)/(15)

Sixth, our last step is to convert the fraction into a mixed fraction. How you do this is to divide the numerator by the denominator. We would set up something like this: 31 ÷ 15 = 2.066667. That decimal in fraction form is 2 1/15, which is our answer.
2  (1)/(15)

Answer in fraction form: \fbox {2   \   1/15}
Answer in decimal form: \fbox {2.0667}

Answer:

Answer in fraction form: {2 1/15}


An elevator starts on the 100th floor. It descends 4 floors every 10 seconds. At what floor will the elevator be 60 seconds after it starts?

Answers

so is 4 floors / 10 seconds
If you have 60 seconds you can multiple 10 by 6 because 10×6=60
so you also have to multiple 4 by 6
4×6=24
and because it's descending it's 100-24= 76
It would be at the 76th floor because 10 seconds times 6 seconds is equivalent to 60 seconds. So you would also multiply the 4 floors by 6 to get 24. You would finally subtract 100 an 24 to get the 76th floor. Hopes this makes sense, and I hoped this helped!

On Friday, a local restaurant served 75 customers. Of these, 63 people ordered soup. What percent of the customers ordered soup?

Answers

63 x--------=------------75 10063×100=63006300÷75=8484%