Answer:
Step-by-step explanation:
we are given that selling price of each mug(x) is $10
Selling price of each shirt(y) is $20.
Jake wants to earn atleast $250 for his team, So we can write
![(1) 10x+20y\geq 250](https://tex.z-dn.net/?f=%281%29%20%2010x%2B20y%5Cgeq%20250)
(2) Now the above inequality can be solved for y as follows:
![10x+20y\geq 250\\\text{Add -10x on both the sides}\\10x+20y-10x\geq 250-10x\\20y\geq 250-10x\\\text{Divide both the sides by 20}\\y\geq 12.5-0.5x\\y\geq -0.5x+12.5](https://tex.z-dn.net/?f=10x%2B20y%5Cgeq%20250%5C%5C%5Ctext%7BAdd%20-10x%20on%20both%20the%20sides%7D%5C%5C10x%2B20y-10x%5Cgeq%20250-10x%5C%5C20y%5Cgeq%20250-10x%5C%5C%5Ctext%7BDivide%20both%20the%20sides%20by%2020%7D%5C%5Cy%5Cgeq%2012.5-0.5x%5C%5Cy%5Cgeq%20-0.5x%2B12.5)
(3)
By the observing the above equation that we just solved for y, we can say that It has an y-intercept of 12.5, and a negative slope of 0.5. Y-intercept of 12.5 means, jake must sell atleast 13 shirts to achieve the target.
<h2>
![\red{Solution} \blue \longrightarrow](https://tex.z-dn.net/?f=%20%5Cred%7BSolution%7D%20%5Cblue%20%5Clongrightarrow)
</h2>
Total surface area of cone is 176π
<h3>Explanation:</h3>
Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.
Hence surface area of curved surface of a cone is π×8×14=112π .
As surface area of base is π×82=64π .
Hence total surface area is 112π+64π=176π
Answer:
28
Step-by-step explanation:
2x + 3x + 40 =180
5x= 180 - 140
5x=140
x= 28
Do you remember how to find the area of a circle ?
Big Fat Hint: The area of a circle is (pi) x (its radius)² .
Can you find the area of the big circle ... the one with radius = 18 m ?
Do that. The whole big circle, just as if there was nothing inside it, and
no shaded region.
I'll wait.
Now, can you find the area of the small circle ... the one with radius = 12 m ?
Do that.
I'll wait.
The area of the shaded region is just
(the area of the big circle) minus (the area of the small circle) !
I got 180 pi or roughly 565.2 m². I could be wrong. You should check it.