C and E, evaluate the numbers outside of the parenthesis to the inside
Answer- x<8
Solutions
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
4*x+6-(38)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x - 32 = 4 • (x - 8)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 4
Solve Basic Inequality :
2.2 Add 8 to both sides
x < 8
1 hour = 60 minutes
Tuesday: 60 divided by 4 = 15. Karen did it 3/4 of a hour so we multiply 15 by 4 which is 45. 45 equals 45 minutes. On Tuesday, Karen finished her chores in 45 minutes
Wednesday: first we divide 60 by 12 which is 5. 5 would equal 5 minutes. now we multiply 5 by 5 which is 25. Karen finished her chores in 25 minutes.
Answer: Karen finished her chores 20 minutes faster on Wednesday than Tuesday.
Hope this helps!
Step-by-step explanation:
Use the distributive formula to solve for n:
-a(b + c) = -ab - ac
So, to solve this you would have to use the distributive property:
-1/3n - 5 = -2
Add 5 to both sides
-1/3n - 5 + 5 = -2 + 5
-1/3n = 3
Now, multiply -3 from both sides
-1/3 * -3 n = 3 * -3
Simplify
n = -9
Hope that helped!!
~A̷l̷i̷s̷h̷e̷a̷♡
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
