#5
5(p+6)=8p
5p+30=8p
8p-5p=30
3p=30
30/3
p= 10 is your answer
#4
3(g+7)=2(10+g)
3g-21=20+2g
3g-2g
g-21=20
20+21
g=41 is your answer
#6
3/7 w -11= -4/7 w
3/7w=-4/7 + 11
3/7 w = 73/7 x 7
3w = 511/7
3w= 73
w= 73/7 is your answer
9514 1404 393
Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
__
We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
Answer:
Yes this is a linear function f(x) = ex+30
e = hourly rate
x=hours
f(x) = total earnings
Answer:
well that depends on how many pieces of gum are in one pack, once you have that info multiply it by 4.
Step-by-step explanation:
Answer: x=0.6435011
Step-by-step explanation:
Take the inverse tangent of both sides of the equation to extract
x
from inside the tangent.
x
=
arctan
(
3
4
)
Evaluate
arctan
(
3
4
)
.
x
=
0.6435011
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from
π
to find the solution in the fourth quadrant.
x
=
(
3.14159265
)
+
0.6435011
Simplify the expression to find the second solution.
Tap for more steps...
x
=
3.78509376
Find the period.
Tap for more steps...
π
The period of the
tan
(
x
)
function is
π
so values will repeat every
π
radians in both directions.
x
=
0.6435011
+
π
n
,
3.78509376
+
π
n
, for any integer
n
Consolidate the answers.
x
=
0.6435011
+
π
n
, for any integer
n
