Test contains 10 three-point questions and 14 five-point questions.
Answer:
<h2>C=P-0.4x</h2>
Step-by-step explanation:
Step one:
we want to find the expression for the cost of any type of shirt for an applied discount of 40%.
let the price of any shirt be P
let the cost of any shirt be x
and also the price after discount applied be C
Step two:
The discount is
=40/100*x
=0.4*x
=0.4x
Hence the cost of the shirt will be the initial cost minus the discount
C=P-0.4x
Answer: The answer, rounded to the nearest tenth, is 113.0
Step-by-step explanation:
This is the formula for calculating the circumference of a circle:
C= 2pi r
R is the radius. Since the path is 2 feet wide, we can add 2 to the radius of the garden to get the radius of the whole path and garden.
2+4=6 so the radius for the total area of the garden and path is 6 feet.
Now we need to plug 6 into the formula to find circumference.
Add <span /><span><span><span><span><span><span>12</span></span><span /></span></span><span /></span><span>12</span></span> to both sides
<span /><span><span><span><span><span><span>8</span><span>x</span><span>=</span><span>5</span><span>x</span><span>+</span><span>15</span><span>+</span><span>12</span></span><span /></span></span><span /></span><span>8x=5x+15+12</span></span>
2<span> </span>Simplify <span /><span><span><span><span><span><span>5</span><span>x</span><span>+</span><span>15</span><span>+</span><span>12</span></span><span /></span></span><span /></span><span>5x+15+12</span></span> to <span /><span><span><span><span><span><span>5</span><span>x</span><span>+</span><span>27</span></span><span /></span></span><span /></span><span>5x+27</span></span>
<span /><span><span><span><span><span><span>8</span><span>x</span><span>=</span><span>5</span><span>x</span><span>+</span><span>27</span></span><span /></span></span><span /></span><span>8x=5x+27</span></span>
3<span> </span>Subtract <span /><span><span><span><span><span><span>5</span><span>x</span></span><span /></span></span><span /></span><span>5x</span></span> from both sides
<span /><span><span><span><span><span><span>8</span><span>x</span><span>−</span><span>5</span><span>x</span><span>=</span><span>27</span></span><span /></span></span><span /></span><span>8x−5x=27</span></span>
4<span> </span>Simplify <span /><span><span><span><span><span><span>8</span><span>x</span><span>−</span><span>5</span><span>x</span></span><span /></span></span><span /></span><span>8x−5x</span></span> to <span /><span><span><span><span><span><span>3</span><span>x</span></span><span /></span></span><span /></span><span>3x</span></span>
<span /><span><span><span><span><span><span>3</span><span>x</span><span>=</span><span>27</span></span><span /></span></span><span /></span><span>3x=27</span></span>
5<span> </span>Divide both sides by <span /><span><span><span><span><span><span>3</span></span><span /></span></span><span /></span><span>3</span></span>
<span /><span><span><span><span><span><span>x</span><span>=</span><span><span><span><span>27</span><span /></span><span><span>3</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>x=273</span></span>
6<span> </span>Simplify <span /><span><span><span><span><span><span><span><span><span>27</span><span /></span><span><span>3</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>273</span></span> to <span /><span><span><span><span><span><span>9</span></span><span /></span></span><span /></span><span>9</span></span>
<span /><span><span><span><span><span><span>x</span><span>=</span><span>9</span></span><span /></span></span><span /></span><span>x=9
</span></span>