Answer:
120 ways
Step-by-step explanation:
This can be solved through analytical combination.
First, select the president; this implies selecting one person out of five people, which is in 5 ways.
Secondly, select the vice president, this implies selecting one person out of four people, since one position has been taken by the president already leaving only four people which is in 4 ways
Thirdly, select the secretary, this implies selecting one person out of three remaining people, which is in 3 ways
Lastly, select the treasurer, this implies selecting one person out of two remaining people, which is in 2 ways
Therefore, ways by which a president, vice president, secretary, and treasurer can be elected is
5 x 4 x 3 x 2 = 120 ways
Answer:
√64
Step-by-step explanation:
In mathematics, an expression involving the root (√) sign is regarded as a radical.
64^(1/2)
This is the same as;
√64
- √(1/2&64) This option is wrong.
- √64 This option is correct
- 1/2 √64 This option is wrong.
- 8 This option is wrong.
Answer:
x= -15, 5
Step-by-step explanation:
x²+10x-75=0
x²+15x-5x-75=0
(x+15)(x+5)=0
x= -15 and x=5
Answer:
y = 5x - 6
Step-by-step explanation:
1. In a linear equation, it is represented by y = mx + b
2. A line parallel to another has the same slope (m) but a different y-intercept (b)
3. So we know that it is y = 5x as the first half. However, we need to find the new y-intercept.
4. Let's plug in the point we know into the equation, and see what amount we are missing (the y-intercept)
5. y = 5(3)
6. y = 15, however, we know that y = 9. That's a difference of -6.
This shows us that the y-intercept is -6 making the full equation:
y = 5x - 6
We can check by putting the point back into the equation:
y = 5(3) - 6
y = 15 - 6
y = 9
This correlates with the original point, we have solved the equation.
Answer:
<em><u>The equality is true</u></em>
Step-by-step explanation:
<em><u>x+(y+z)=(x+y)+z</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true</u></em>
