Answer:
S=H+2
Step-by-step explanation:
OK, so hailey is the variable H. And she is 2 years younger than her sister.
What is the age of her sister?
So we know it has to be, hailey's age + something? = age of her sister.
what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.
H+2=S
OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.
Answer:
1) distance travelled = 75mi
time taken = 3 hrs.
speed = distance/time
= 75/3 = 25 mi/hr.
now, if time = 1.6 hrs.
Distance = speed x time
= 25 x 1.6 = 40.0 mi
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2) earning for 8 hrs. of work = $120.
therefore, rate of earning per hr. = 120/8 = $15/hr.
so, earning in 11 hrs. = 15 x 11 = $165
Answer:
7) 13 in. Because the hypotenuse is the longest length than opposite and adjacent.
8) 12 in. Because it has 90° angle.
9) 12 in
10) 5 in
Answer:
1, 2, and 5
Step-by-step explanation:
Answer:
the slope of line j is -1/8, the slope of lines m and n are both 8.
Explanation step by step:
Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:
1. line j is perpendicular of line m, so j*m= -1
2. J is perpendicular of line n, so j*n=-1
3. m and n and parallel so m=n
As we want to know the slope of j we clear the equations presented to us in order to find it.
(1) m* n* j = -8, since n=m we have 
* j = -8.
we clear j; 
replacing in the equation n*j = -1 we get
n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.
