Answer:
V≈33.51
Step-by-step explanation:
Solve for volume
V=4/3πr3
=43·π·23≈33.51032
Answer:
- x > -2
- n ≤ -2 or n ≥ 8
Step-by-step explanation:
<h3>1.</h3>
Add 7x-2 to both sides and collect terms.
2x +2 -6x +7x -2 > -4 -7x +7x -2
3x > -6
x > -2 . . . . . . . divide by 3
__
<h3>2.</h3>
Solve these one at a time, and form the union of the answers.
1 +7n ≤ 15 . . . .given
7n ≤ 14 . . . . . . subtract 1
n ≤ 2 . . . . . . . divide by 7
__
-2n -2 ≤ -18 . . . given
-2n ≤ -16 . . . . . add 2
n ≥ 8 . . . . . . . . divide by -2
The solution is n ≤ -2 or n ≥ 8.
C) 15.5 pounds
Maya's group: 14.8 + 12.5 = 27.3
Will's group: 11.8 + ___ = 27.3
27.3 - 11.8 = 15.5
Use a proportion.
A ratio of 44 blue to 33 yellow is the same as a ratio of 4 blue to 3 yellow.
Since you are told the total of cards, 84, add 3 + 4 = 7
In the deck, the cards are int he ratio of 4 blue to 3 yellow to 7 total.
4 blue to 7 total = x blue to 84 total
4/7 = x/84
7x = 4 * 84
x = 4 * 12
x = 48
There are 48 blue cards.
Answer : $18.75
Bethany is paid time-and-a-half for each hour she works above her normal 40 hours each week. Last week, Bethany worked 44 hours and her gross pay was $575.
Total hours worked = 44 hours
Normal 40 hours + 4 hours extra
Let x be the amount earned for 1 hour for regular 40 hours
1.5x be the amount earned for extra hours
40 (amount earned for normal hours ) + 4(amount for extra hours ) = gross pay
40x + 4(1.5x) = 575
40x + 6x = 575
46 x = 575
Now divide both sides by 46
x = 12.5
1.5x is the amount earned for extra hours
1.5 * 12.5 = 18.75
Bethany earn for each hour of overtime she worked is $18.75
