Given:
10 yards required
5 2/3 yards on hand.
We need to subtract the yards on hand from the total yards required.
First, we need to convert the mixed fraction into an improper fraction.
5 2/3 = ((5*3)+2)/3 = (15+2)/3 = 17/3
Second, we need to multiply 10 by a fraction that will give us the denominator of 3.
10 * 3/3 = (10*3)/3 = 30/3
Third, we do subtraction using our derived fractions.
30/3 - 17/3 = (30-17)/3 = 13/3
Lastly, we simplify the improper fraction. Improper fraction is a fraction whose numerator is greater than its denominator. Its simplified form is a mixed fraction.
13/3 = 4 1/3
Arliss needs to buy 4 1/3 yards more to complete the required yard length.
Answer:
5
Step-by-step explanation:
To find B and C prime, you must multiply them by .25, or 1/4.
B' =
(-2 x .25),(1 x .25)
I did mine in fraction form, because it will prove to be more useful in future mathematics.
B' = (1/2 , 1/4)
Repeat the process with C.
C' =
(14 x .25),(17 x .25)
C' =
(7/2 , 17/4)
You only need to focus on B and C because you are finding the length of B'C'.
The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.
x2 - x1 = 7/2 - 1/2 = 6/2 = 3 squared = 9
y2 - y1 = 17/4 - 1/4 = 16/4 = 4 squared = 16
16 + 9 = 25
Square root of 25 is 5.
Therefore, the distance is 5.
Answer:
x = 4.1
Step-by-step explanation:
6x-3 + 3x+6 + 5x = 60
14x + 3 = 60
14x = 60 - 3
14x = 57
x = 57/14
x = 4.1
Do y-y over x-x
So 10-4 = 6 and -7 - 1 = -8
6/-8 = -.75 is your slope
plug it into a y= Mx + b equation along with a y and x pair
4 = -.75(1)+ b
4 = -.75 + b
Solve the equation which gets you to b= 4.75
So y = -.75x+ 4.75 is your answer
Answer:
3x^2 - 9x + 8
Step-by-step explanation:
To simplify:
- Distribute the -1 into the second term.
- Collect and combine like-terms (terms with the same variables or powers)
The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)
After distributing the -1, the equation becomes:
- (2x^2 - 5x + 3) + (x^2 - 4x + 5)
The like-terms are:
- 2x^2 and x^2
- -5x and -4x
- 3 and 5
Combine the like-terms:
- 2x^2 + x^2 = 3x^2
- -5x - 4x = -9x
- 3 + 5 = 8
Substitute the simplified like-terms into the expression, in descending order:
