-5x-4=46
-5x=46+4
-5x=50
÷both sides by -5x.
so your answer is going to be -10. and is so because u are diving with a negative number
Total time (1 2/3 hours) minus the time spent stretching (1/4 hour) minus the time spent showering (1/3 hour) equals the time spent running.
x= time spent running
x= 1 2/3 - (1/4 + 1/3)
change 1 2/3 to improper fraction
x= 5/3 - (1/4 + 1/3)
need to multiply by a common factor
3 and 4 go into 12 evenly
5/3= 20/12
1/4= 3/12
1/3= 4/12
x= 20/12 - (3/12 + 4/12)
x= 20/12 - 7/12
x= 13/12
change back to mixed fraction
x= 1 1/12 hours spent running
Hope this helps! :)
Answer:
A possible initial point is (1,4) and a possible terminal point is (8,5)
Step-by-step explanation:
The given vector is 
.
We can rewrite this vector as:
The x-components is 7 and the y-component is 1.
We can choose initial point (a,b) and terminal point (c,d) in the first quadrant such that 
and 
If a=1, and b= 4, then:
and 
This implies that:
and 
Therefore a possible initial point is (1,4) and a possible terminal point is (8,5)
Answer:
Option (1). 6 inches
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces ?
Tony has a piece of chain = 4.5 feet long
≈ 4.5 × 12 inches
≈ 54 inches
Number of necklaces Tony wants to make = 3
Length of every piece of gold chain required for one necklace = 16 inches
Total length of gold chain required for 3 necklaces = 3 × 16 inches
= 48 inches
Length of remaining chain = 54 - 48 = 6 inches
Therefore, Option (1) will be the answer.
