Answer
475
Step by step explanation
Since there were 40 % green colour cards
40/100*1200
= 480
No.of blue colour cards = 240
No. of red colour cards = 5
Hence number of yellow colour cards = 1200-( 5+240+480 )
= 1200-725
= 475 yellow coloured cards
If <span>a ≥ 0</span><span> then </span><span>√a</span><span> denotes the non negative square root of </span>a<span>.
</span><span>(x-9)^2 = (-(x-9))^2
</span>
So both <span>x−9</span><span> and </span><span>−<span>(x−9)</span></span><span> are square roots of </span><span><span>(x−9)</span>2</span><span>, but we want to pick whichever is non negative.
</span><span><span>
x−9</span>|</span><span> does that for us.
</span>
Answer should be √<span>(x-9)^2) = x-9</span>
Her brother sent C. 490 messages.
In order to find this, we need to set it up as a proportion. Once we have done that, we can cross multiply and solve for the unknown variable.
(4/7) = (280/x) -----> Cross multiply.
4 * x = 7 * 280
4x = 1960
x = 490
Answer:
48∛9 ft²
Step-by-step explanation:
The length (L) and width (W) are given by:
![L = 4\sqrt[3]{24}\\ W= 6\sqrt[3]{3}](https://tex.z-dn.net/?f=L%20%3D%204%5Csqrt%5B3%5D%7B24%7D%5C%5C%20W%3D%206%5Csqrt%5B3%5D%7B3%7D)
Since this is a rectangular region, the area is given by:
![A=L*W=L \\A=4\sqrt[3]{24}* 6\sqrt[3]{3}\\A=24\sqrt[3]{72}\ ft^2](https://tex.z-dn.net/?f=A%3DL%2AW%3DL%20%5C%5CA%3D4%5Csqrt%5B3%5D%7B24%7D%2A%206%5Csqrt%5B3%5D%7B3%7D%5C%5CA%3D24%5Csqrt%5B3%5D%7B72%7D%5C%20ft%5E2)
The answer can be further simplified by factoring as follows:
![A=24\sqrt[3]{72} = \\A=24\sqrt[3]{2*2*2*3*3}= 24\sqrt[3]{2^3*9}\\A=48\sqrt[3]{9}\ ft^2](https://tex.z-dn.net/?f=A%3D24%5Csqrt%5B3%5D%7B72%7D%20%3D%20%5C%5CA%3D24%5Csqrt%5B3%5D%7B2%2A2%2A2%2A3%2A3%7D%3D%2024%5Csqrt%5B3%5D%7B2%5E3%2A9%7D%5C%5CA%3D48%5Csqrt%5B3%5D%7B9%7D%5C%20ft%5E2)
The exact area is its simplest form is 48∛9 ft²
