Step-by-step explanation:
a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image
Answer: 40 students.
Step-by-step explanation:
To solve this problem you mmust apply the steps shown below:
1. You know that there is a total of 100 students, then you can say that the 100% is 100 students.
2. Then, to calculate how much would 40% be, you must multiply 100 students by 40% which you rewrite as a decimal by dividing it by 100, as following:
40%/100=0.4
Then 40% of the students would be
100 studens*0.4=40 students
-3(6x+5)-2(1-17x)=3(5+5x)
Mutiply the first bracket by -3
(-3)(6x)= -18x
(-3)(5)= -15
Mutiply the second bracket by -2
(-2)(1)= -2
(-2)(-17x)= 34x
Mutiply the third bracket by 3
(3)(5)= 15
(3)(5x)= 15x
-18x-15-2+34x= 15+15x
-18x+34x-15-2= 15+15x
16x-17= 15+15x
move 15 to the other side
sign changes from +15 to -15
16x-17-15= 15-15+15x
16x-32= 15x
move -32 to the other side
sign changes from -32 to +32
16x-32+32=15x+32
16x= 15x+32
move 15x to the other side
sign changes from +15x to -15x
16x-15x=15x-15x+32
x= 32
Answer: x= 32
To find angle c, the fourmula is 1/2 of the intercepted arc. so, this would be (-3x-6)=(-4x)/2, then bring the 2 over, (-3x-6)2=-4x, multiply the 2, -6x-12=-4x, -2x=12, simplify, x=-6
check by plugging in.
