Answer:
Number of blue marbles = 86.
Step-by-step explanation:
Let number of blue marbles = x, then the number of red marbles = 106-x.
From the second relation given in the question:-
x = 4(106 - x) + 6
Solving for x:-
x = 424 - 4x + 6
5x = 430
x = 86 blue marbles.
Answer:
The first error that Tomas made was added 6 to both sides of the equation instead of subtracting 6
Step-by-step explanation:
Let
x ----> represents the number of pounds of granola
y ----> represents the number of pounds of walnuts
we know that
The linear equation that represent this scenario is
2x+6y=12 -----> equation A
x=3 -----> equation B
substitute equation B in equation A and solve for y
2(3)+6y=12
6+6y=12
Subtract 6 both sides
6+6y-6=12-6
6y=6
Divide by 6 both sides
6y/6=6/6
y=1
so
The number of pounds of walnuts is 1
therefore
The first error that Tomas made was added 6 to both sides of the equation instead of subtracting 6
Answer:
-4/3
Step-by-step explanation:
m1m2=-1
so 3/4*X= -1
3X=-4
x= -4/3
The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
Answer:
Step-by-step explanation:
The right option es a)
because the general form is:
ax^2+bx+c
so you can easyly identify b=-5