Answer:
36⁄125 or if we are talking about the lowest term it is 9
/3125
Step-by-step explanation:
Step 1: 0.288 = 288⁄1000
Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",
<em>Or for the lowest term:</em>
Therefore 0.288% can be written as
0.288
100
.
Next, we can multiply by
1
in the form of
1000
1000
to eliminate the decimal in the numerator:
1000
1000
×
0.288
100
⇒
1000
×
0.288
1000
×
100
⇒
288
100000
.
We can now reduce the fraction as:
288
100000
⇒
32
×
9
32
×
3125
⇒
32
×
9
32
×
3125
⇒
9
3125
.
Answer:
approximately 8.5
Step-by-step explanation:
So you can use the distance formula:
which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points
Now all you have to do is plug the values in to get

Answer: x ≤ -5.5
reason:
first, multiply 4x and -2 by 1/2 and 6x and 9 by -2/3.
this makes the equation 2x-1-4x-6 ≤ 4
combine like terms to make it -2x-7 ≤ 4
add 7 to both sides to get -2x ≤ 11
divide both sides by -2 and get x ≤ -5.5
Let x = amount of mortgage (aka the amount by the bank)
25% of the monthly income of $3000 is 0.25*3000 = 750 dollars
So using this rule, the family can pay up to $750 per month on mortgage
1% of the amount loaned (x) is equal to this figure, so
0.01*x = 750
0.01*x/0.01 = 750/0.01
x = 75000
Therefore, the most expensive mortgage this family can afford is $75,000. Anything higher and they go over budget.