Answer:
x < 2
Step-by-step explanation:
5(2x + 8) < 60 ( divide both sides by 5 )
2x + 8 < 12 ( subtract 8 from both sides )
2x < 4 ( divide both sides by 2 )
x < 2
Answer:
$2250
Step-by-step explanation:
30 x 25 = 750 -> area
750 x 3= 2250
Answer: <span>A. about 30.8 miles
</span><span>
The x and y distance from the campsite at A (3, – 5), and the next checkpoint station is located at B (–10, 1) would be:
Xab= Xb- Xa= -10 - 3= -13
Yab= Yb- Ya= 1- (-5)= 6
The resultant distance would be
c^2= a^2+b^2
c^2= (-13)^2 + (6)^2
c= </span>√(169+36)= √205
c=14.32
If each unit in the coordinate plane represents 2.15 miles, the true distance= 14.32*2.15 miles= 30.78 miles
Answer:
m = -3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
<em>m</em> = slope
<em>b</em> = y-intercept
We are given the equation y = -3x + 2. Therefore, our slope is -3 and our y-int is 2.
Answer:
Pedro = $ 76, Avi = $ 51 and Carol = $ 23
Step-by-step explanation:
Let P, A and C be the amounts that Pedro, Avi and Carol had respectively. Pedro giving half of his money equally to both Avi and Carol would mean the amount Avi has now is A + P/4 and the amount Carol now has is C + P/4. The amount Pedro has left is P/2. If Avi now had too much and gave $10 each to Pedro and Carol, he would lose $20 and now has A + P/4 - 20. Carol now has C + P/4 + 10. Pedro now has P/2 + 10. Finally, Carol gave Pedro $ 2 and is $ 2 short and now has C + P/4 + 10 - 2. Pedro now has P/2 + 10 + 2. They all now have equal amounts. Since there are three of them and the total amount is $150, each person now has $150/3 = $50.
So, we now now have 3 equations.
P/2 + 10 + 2 = 50
C + P/4 + 10 - 2 = 50
A + P/4 - 20 = 50.
We now solve each equation.
First, P/2 + 10 + 2 = 50
P/2 + 12 = 50
P/2 = 50 - 12 = 38
P = 2 × 38 = 76
Next,
C + P/4 + 10 - 2 = 50
C + 76/4 + 8 = 50
C + 19 + 8 = 50
C + 27 = 50
C = 50 - 27 = 23
Finally,
A + P/4 - 20 = 50.
A + 76/4 - 20 = 50
A + 19 - 20 = 50
A - 1 = 50
A = 50 + 1 = 51
