Answer:
<h2>5.33</h2>
Step-by-step explanation:
Given the expression -8/13×26/-3, getting the equivalent expression means multiplying the two fractions -8/13 and 26/-3 together as shown;
<h3>
Answer: 5040</h3>
Explanation:
There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1
7,6,5,4,3,2,1
Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark
7! = 7*6*5*4*3*2*1 = 5040
<h3>Inequality</h3>
75d + 30c ≥ 255
<h3>Examples</h3>
(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.
(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.
Answer:
2.5 miles
Step-by-step explanation:
22.50-6=16.50
16.50÷3=5.5
Step-by-step explanation:
2x - 3y - 2z = 4
[2] x + 3y + 2z = -7
[3] -4x - 4y - 2z = 10
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -3y - 2z - 7
// Plug this in for variable x in equation [1]
[1] 2•(-3y-2z-7) - 3y - 2z = 4
[1] - 9y - 6z = 18
// Plug this in for variable x in equation [3]
[3] -4•(-3y-2z-7) - 4y - 2z = 10
[3] 8y + 6z = -18
// Solve equation [3] for the variable z
[3] 6z = -8y - 18
[3] z = -4y/3 - 3
// Plug this in for variable z in equation [1]
[1] - 9y - 6•(-4y/3-3) = 18
[1] - y = 0
// Solve equation [1] for the variable y
[1] y = 0
// By now we know this much :
x = -3y-2z-7
y = 0
z = -4y/3-3
// Use the y value to solve for z
z = -(4/3)(0)-3 = -3
// Use the y and z values to solve for x
x = -3(0)-2(-3)-7 = -1
Solution :
{x,y,z} = {-1,0,-3}
