Answer:
40 students
Step-by-step explanation:
In this problem, one is given the ratio ( 8 : 3 ), since a ratio is another way of writing a fraction one can rewrite it as; (8) represent the number of students who want to learn about magnets, and (3) represents the number of students who want to learn about magic tricks.
In the problem, it is also given that 25 more students wanted to learn about magnets compared to magic tricks. If one uses the parameter (x) to represent the factor by which the fraction is reduced, then one can get the equation;
8x = 3x + 25
Use inverse operations to solve,
8x = 3x + 25
-3x
5x = 25
/5
x = 5
Substitute back in to find out how many students want to learn about magnets,
8x
= 8(5)
= 40
6b^2+24b-126
Factor out the gcf
6(b^2+4b-21)
Factor the inner trinomial
6(b+7)(b-3)
Use ZPP to find roots
(b+7)=0
b=-7
(b-3)=0
b=3
Final answers: b=-7, b=3
Hello!
x + 3y = 2
Rewritten into slope form: y = mx + b
Find the slope when rewritten:
Move x to the right hand side of the equation. (Subtract)
x - x + 3y = 2 - x
3y = 2 - x
Divide both sides by 3:
y = 2/3 - 1/3x
Rearrange:
y = -1/3x + 2/3.
The slope is equivalent to -1/3.
Yep, example is 59999.99, basically any thing that's is/over 59999.5
Answer:
y = 2 2/5
Step-by-step explanation:
1 7/8y = 4 1/2
Change to improper fractions
1 7/8 = (8*1+7)/8 = 15/8
4 1/2 = (2*4+1)/2 = 9/2
15/8 y = 9/2
Multiply each side by 8/15
8/15 * 15/8y = 9/2 * 8/15
y = 9/15 * 8/2
y = 3/5 *4
y = 12/5
Changing back to a mixed number
y = 2 2/5