6/x = x-1
Multiply x by both sides
6= x(x-1)
Set x and x-1 equal to 6
x = 6, x = 1+6 = 7
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
Answer:
The possible digits are : 0, 2, 6, 4, 8
Step-by-step explanation:
Money charged by David to wash the windows of a car = $4
Let total number of cars he washed be x
Now, Total money earned by washing windows of a car = Money charged for washing all windows of one car × Total number of cars washed
⇒ Total money earned = 4 × x
So, the amount will always end in the digits which comes at the end of multiples of 4 because the amount will be always in the multiples of 4
⇒ 4 × 1 = 4 , 4 × 2 = 8 , 4 × 3 = 12 , 4 × 4 = 16 , 4 × 5 = 20 ......
So, the possible digits are : 0, 2, 6, 4, 8
Answer:0.32 is closer the the number one then 0.102 is
Step-by-step explanation:
Answer:
2
Step-by-step explanation: