Answer:
1. No.
2. Yes, there is no solution here.
Step-by-step explanation:
The former:
![8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.](https://tex.z-dn.net/?f=8%285x%20-%203%29%20%3D%206%28-3x%20-%204%29%3B%20%5C%5C%208%20%2A%205x%20-%208%20%2A%203%20%3D%206%20%2A%20%28-3x%29%20-%206%20%2A%204%3B%20%5C%5C%2040x%20-%2024%20%3D%20-18x%20-%2024%3B%20%5C%5C%2040x%20%2B%2018x%20%3D%20-24%20%2B%2024%3B%20%5C%5C%2058x%20%3D%200%3B%20%5C%5C%20x%20%3D%200.)
is our set of solutions.
The latter:
![3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.](https://tex.z-dn.net/?f=3x%20-%2013%20%3D%207%28x%20%2B%202%29%20-%204%28x%20-%207%29%3B%20%5C%5C%203x%20-%2013%20%3D%207x%20%2B%207%20%2A%202%20-%204x%20-%204%20%2A%20%28-7%29%3B%20%5C%5C%203x%20-%2013%20%3D%207x%20%2B%2014%20-%204x%20%2B%2028%3B%20%5C%5C%207x%20-%204x%20-%203x%20%3D%20-13%20-%2014%20-%2028%3B%5C%5C%200x%20%3D%2055%3B%20%5C%5C%20x%20%5Cin%20%5Cemptyset.)
In other words, there is not any solution from the set of real numbers that suits us.
3/4 + 4 1/2 = 5 1/4
If you mean that the dictionary is 41/2 then the answer = 3/4 + 20 1/2 = 21 1/4. That's a big diction though and not likely measured correctly.
Answer:
$ 1349.746624
Step-by-step explanation:
The volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as:
V=πr²h
where:
r is the radius
h is the height
Given the following parameters
r = d/2 = 1.5/2 = 0.75ft
h = 30ft
Get the volume of the cylinder
V=π(0.75)²(30)
V= 53.0144...ft³
If the wod costs $25.46 per cubic foot, hence the cost of the wood will be 53.0144*25.46 = $ 1349.746624
Answer:
1. 9/16 * 12/13 = 27/52
2. 7/10 * 5/28 = 1/8
Step-by-step explanation:
1.
9 / 16 * 12/13
9 * 12 = 108
16 * 13 = 208
108 / 208
Simplify:
27/52
2.
7 / 10 * 5 / 28
7 * 5 = 35
10 * 28 = 280
Simplify:
1/8
25 is the length of x, using the 30-60-90 special triangle method