Answer:
a=2,b=4. (3a+b)=3*2+4=10.
Answer:
3
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original slope
a reciprocal is the inverse of a number, to find the reciprocal, just flip the numerator and denominator
in this cause, the slope is -1/3
the negative of it is 1/3 and the reciprocal is 3
therefore the slope of the perpendicular line is 3
Answer: Daria earns a fixed amount of $55 for each television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55
Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.
Factors of 60:
1 × 60
2 × 30
3 × 20
4 × 15
5 × 12
6 × 10
60 - 1 = 59
30 - 2 = 28
20 - 3 = 17
15 - 4 = 11
12 - 5 = 7
10 - 6 = 4
5 is 7 less than 12, and 60 is their least common multiple.
Answer: 5 and 12
