It isn't A because there isn't a decimal in the hundredths.
It isn't B because it doesn't have a decimal coefficient on the left side: that means it could be C or D, to find out we should find what x is in C:
0.5x-5=0.15x+2
0.5x=0.15x+7
0.35x=7
Divide both sides by 7
0.05x=1
Now multiply both sides by 20:
x=20
That means it must be D, let's make sure:
0.6x-3=0.28x+5
0.6=0.28x+8
0.32x=8
Divide both sides by 8:
0.04x=1
Now multiply both sides by 25:
x=25
So the answer is D
Hope this helps :)
Answer:
17 inches.
Step-by-step explanation:
If the area of a rectangle is the product of its length and width, then;
Area of a rectangle = Length × Width
Given that the width of the poster is greater than 10 inches and is prime, this means and W>10
Area of the rectangle = 204in²
On substituting the values in the formula;
A = LW
204 = LW
Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.
Let's test each values of the prime width that will give a length that is a whole number.
If W = 11
204 = 11×L
L = 204/11
L = 18.54
Since the length didn't give us a whole number, this means our width is not 11.
If W = 13
204 = L × 13
L = 204/13
L = 15.69
Also, we can see that the length is not also a whole number for the value of 13 as the prime width.
If W = 17
204 = L × 17
L = 204/17
L = 12
It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.
Call n, the first of those consecutive terms, then three consecutive terms are:n, n +1, and n +2.
So, the equation will be n + (n +1) + (n +2) = 467
=> n + n + 1 + n + 2 = 467
=> 3n + 3 = 467
All of them are valid forms of the equation for the sum of three consecutive integers is 467.
You can solve it now, if you want:
3n = 467 - 3
3n = 464
n = 464 / 3
n = 154.6
The solution means that there are not three consecutive numbers whose sume is 467.
You can verifiy that if you take 154 + 155 + 156 = 465
And 155 + 156 + 157 = 468
C.)
f=(9/5)c+32
f-32=(9/5)c
(f-32)/(9/5)=c
(f-32)(5/9)=c
The answer is 81/8
Alternative Forms:
10 1/8 or 10.125
