Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x
Answer:
y = x + 8
Step-by-step explanation:
For 8cm of thread, 1cm of the bracelet may be produced. therefore being y(thread) = x(bracelet) with the addition of 8 (+8). Hope this helps!
The Answer is c hope I helped
Answer:
Center: ![(4,-6)](https://tex.z-dn.net/?f=%284%2C-6%29)
Radius: ![4](https://tex.z-dn.net/?f=4)
Step-by-step explanation:
It is necessary to remember that the Equation of the circle in Center-radius form, is:
![(x -h)^2 + (y-k)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-h%29%5E2%20%2B%20%28y-k%29%5E2%20%3D%20r%5E2)
Where the center of the circle is at the point (h, k) and the radius is "r".
Then, given the following equation of the circle:
![(x-4)^2+(y+6)^2=16](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y%2B6%29%5E2%3D16)
We can notice that it is written in Center-radius form. Then we can identify that:
![h=4\\k=-6](https://tex.z-dn.net/?f=h%3D4%5C%5Ck%3D-6)
Therefore the center is:
![(4,-6)](https://tex.z-dn.net/?f=%284%2C-6%29)
And the radius is:
![r^2=16\\\\r=\sqrt{16}\\\\r=4](https://tex.z-dn.net/?f=r%5E2%3D16%5C%5C%5C%5Cr%3D%5Csqrt%7B16%7D%5C%5C%5C%5Cr%3D4)
There is 2n+150 litres of oil in total. We have to divide this oil into 3 equal parts which will be named Tank A, Tank B, Tank C.
C was empty at first, then it was delivered 500 litres in total. So if every tank was supposed to have one thirds of it, that means one thirds of the oil equals to 500 litres.
All of the oil would be 500x3=1500 litres
2n+150 was the formula to our total litre count, so if we make a connection between them, we can solve this question for the value of n.
2n+150=1500
2n=1350
n=675