Answer:
<h3>(x - 0.15x) and x(1.00 - 0.15)</h3>
Step-by-step explanation:
Let x be the original price of a lawn mower,
If the hardware store is having a 15% off sale on lawn mowers this weekend, the amount discounted is expressed as;
= 15 % of x
= 0.15 of x
= 0.15x
Final sales price = Original price - discounted price;
Final sales price = x - 0.15x
Factor out x;
x - 0.15x = x(1 - 0.15)
Hence the correct equations are (x - 0.15x) and x(1.00 - 0.15)
1=7 3=21 5=35 7=49 13=91 hope this helps :)
Answer:
y=(3/8)x+5.75
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=(8-5)/(6+2)=3/8
y=mx+b
5=3/8(-2)+b
5=-3/4+b
b=5.75
y=mx+b
y=(3/8)x+5.75
Answer:

Step-by-step explanation:
By definition we know that

and

As 
Then

Now square both sides of the equation:



In the second quadrant sin (t) is positive. Then we take the positive root


Answer:
8cm and 9cm
Step-by-step explanation:
8cm and 9cm would be the two possible lengths for the triangle because for the triangle to work you need the other two other sides when added together needs to be greater then 13. Furthermore 5 + 8 = 13 and as 13 is the same length as the one side that is given, a triangle couldn't possibly be formed as it would just be a straight line. Moreover, this is the same with 6 + 7 which is also 13. 7 + 2 is 9 and because 9<13 a triangle couldn't possibly be formed. Finally, 8 + 9 which equals to 17 are the only two possible lengths for the triangle as 17 > 12.