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)
Answer:
y = (2/3)x + 9
Step-by-step explanation:
Equation of a straight line is y = mx + b. You are trying to finish the equation.
Note that:
m = slope = 2/3
b = y-intercept = 9
Plug in the corresponding numbers to the corresponding variables:
y = mx + b --> y = (2/3)x + 9
y = (2/3)x + 9 is your equation.
~
If

is the common difference between terms in the sequence

, then



...

You're told that

(the sum of the first 16 terms in the sequence, presumably). Well, we know that


Recall that

so that we have

So we get
Answer:
x = 75
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.