Answer:
x = -22
Step-by-step explanation:
2(5– x)3 – 11 = 151
(10 - 2x)3 - 11 = 151
30 - 6x = 162
-6x = 132
x = -22
Answer:
<h2>x = -0.2</h2>
Step-by-step explanation:
![-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}](https://tex.z-dn.net/?f=-1%28x%2B5%29%3D3%5Bx%2B2x-1%29%5D%5C%5C%5C%5C%5Ctext%7Bfor%7D%5C%20-1%28x%2B5%29%3A%5C%20%5Ctext%7Bdistribtutive%20property%7D%5C%5C%5Ctext%7Bfor%7D%5C%20%5Bx%2B%282x-1%29%5D%3A%5C%20%5Ctext%7Bassociative%20property%7D%5C%5C%5C%5C%28-1%29%28x%29%2B%28-1%29%285%29%3D3%5B%28x%2B2x%29-1%5D%5C%5C-x-5%3D3%283x-1%29%5C%5C%5C%5C%5Ctext%7Bfor%7D%5C%203%283x-1%29%3A%5C%20%5Ctext%7Bdistributive%20property%7D%5C%5C%5C%5C-x-5%3D%283%29%283x%29%2B%283%29%28-1%29%5C%5C-x-5%3D9x-3%5C%5C%5C%5C%5Ctext%7Bfor%20the%20equation%7D%3A%5C%20%5Ctext%7Baddition%20property%20of%20equality%7D%5C%5C%5C%5C-x-5%3D9x-3%5Cqquad%5Ctext%7Badd%205%20to%20both%20sides%7D%5C%5C-x-5%2B5%3D9x-3%2B5%5C%5C-x%3D9x%2B2%5C%5C%5C%5C%5Ctext%7Bfor%20the%20equation%3A%7D%5C%20%5Ctext%7Bsubtraction%20property%20of%20equality%7D%5C%5C%5C%5C-x%3D9x%2B2%5Cqquad%5Ctext%7Bsubtract%7D%5C%209x%5C%20%5Ctext%7Bfrom%20both%20sides%7D)
Step-by-step explanation:
4*6=24
24*2=48
In total between the 2 bakers, there are 48 cupcakes
1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh
the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given
so:
a=1/2(24)(24)
a=(12)(24)
a=288 sq. inches
since there are two triangles, you would multiply the area by 2
a=2(288)
a=576 sq. inches
now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.
a=576-(lw)
a=576- (10)(10)
a=576-100
a=476 sq. inches
that is your answer
