Hello,
One method of finding a value in between two other numbers is taking the average, it will always be between the numbers. To find the average of two numbers, add the numbers and divide it by how many numbers there are.
In this case, we have:
(0.3) + (0.5) /2 = 0.8 / 2 = 0.4
So, 0.4 is one length that is within the given span.
Another example is 0.45, which is also between 0.3 and 0.5.
0.4 represented as a fraction is 4/10. However, this can be simplified (notice 4 and 10 are both divisible by 2). To simplify this fraction, divide the numerator and denominator of the fraction by 2 to get (4/2) / (10/2) = 2/5.
0.45 represented as a fraction is 45/100. This fraction can also be simplified (notice 45 and 100 are both divisible by 5). To simplify this fraction, divide the numerator and denominator of the fraction by 5 to get (45/5) / (100/5) = 9/20.
Two lengths that are within the span are 2/5 inches and 9/20 inches, both of which are in simplest form.
Hope this helps!
Paper route earnings each week=($87.8-$37.8) / 10 =$5
If $5=20% we have to find how money is the 100%.
$5-----------------20%
x------------------100%
x=($5*100%) / 20%=$25
solution: $25.00
Red states: 11/25 (simplified)
.44
blue states: 14/25 (simplified)
.56
So first we add like terms inside the partenahseese
8-6x+12=-6x+8+12=-6x+20
now we have
1/4(-6x+20)
distribute
a(b+c)=ab+ac
1/4(-6x+20)=-6/4x+20/4=
-3/2x+5
-1 and 1/2x+5
<u>Given</u>:
The given triangle QPO is a right triangle.
The length of QP is 5 units.
The length of OP is (x + 5) units.
The length of QO is (x + 6) units.
We need to determine the hypotenuse of the triangle QPO.
<u>Value of x:</u>
The value of x can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we get;
Expanding, we get;
Adding the like terms, we get;
Thus, the value of x is 7.
<u>Length of the hypotenuse:</u>
The hypotenuse of the triangle QPO is QO.
Substituting x = 7 in the length of QO, we get;
Thus, the length of the hypotenuse is 13 units.
Hence, Option D is the correct answer.
