Angle 1 = 180-10= 170 degrees, and the relationship is called supplementary angles
18 - 2H = 12 - .5H
Combine the variables
18 - 2H + .5H = 12 - .5H + .5H
18 - 1.5H = 12
Combine the whole numbers
18 - 18 - 1.5H = 12 - 18
-1.5H = -6
Divide by -1.5
-1.5H/-1.5 = -6 / -1.5
H = 4
The answer is 4 hours
Answer:
thats way to much
Step-by-step explanation:
OK
First we must construct an equation to model the problem. (In this case we will use an inequality instead) This is what I came up with:
450.20+0.15s>=600.10
This equation shows how if her base earnings ($450.20) are added to 15% of her sales, represented by s, then the total will be greater than or equal to $600.10
Next, we simply solve for s. (steps shown below)
1) 450.20+0.15s>=600.10 (simply restating the inequality)
2) 0.15s>=149.90 (here I isolated the variable)
3)0.15s/0.15>=149.90/0.15 (Finally I solve for s by dividing both sides by 0.15, this will isolate s on the left and leave the answer on the right)
4) s>=999.33... (here I found the total sales the salesperson would need to reach his/her goal of earning a minimum of $600.10; the 3's after the decimal are repeating so in the next step I will round up to the nearest hundredth (b/c this is what money is rounded to and if I round down he/she would make less than her goal. This means i must round up.))
5) s>=999.34 (simple rounding; once again I rounded up b/c rounding down would slightly bring the total earnings to less than the goal)
<u>Therefore, the salesperson would need his/her sales to be $999.34 in order for his/her total earnings for the week to be at least $600.10</u> (greater than or equal to $600.10)
<u>Hope this helped!</u>
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
