Answer:
58 miles/hour
Step-by-step explanation:
Given that the family Christmas gathering has been scheduled at 2:00 p.m.,
and Joshua left the house at 8:00 a.m.
So, the total time available in order to arrive on time to attend the Christmas gathering, t=6 hours
The total distance, Joshua has to travel, d= 348 miles.
As average speed= (total distance)/(total time)
So, the average speed of driving = 348/6=58 miles/hour
Hence, Joshua must drive at an average speed of 58 miles/hour in order to arrive on time.
Answer:
<6 = 158°
Step-by-step explanation:
we know a = 6
22 + a = 180
a = 180 - 22
a = 158
He'd have to sell 268 items
268x $1.50 = 402
$402 + $54 = $456
Answer:
40 % of the snacks were carrot sticks.
Step-by-step explanation:
Total number of carrot sticks in lunch = 18
Total number of apple slices in lunch = 27
So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices
= 18 + 27 = 45
Now,
= 
⇒Percentage of Carrot Sticks = 40%
Hence, 40 % of the snacks were carrot sticks.
Answer:
7. x = -2 +/-
8. x = 2 or x = 6
9. x = -2 +/- 
10. t = -3 +/- 
Step-by-step explanation:
7. Subtract 320 from both sides: 4(x + 2)^2 = -320
Divide by 4: (x + 2)^2 = -80
Square root both sides: x + 2 = +/-
. We need to add the imaginary i to this: +/-
= +/-
= +/- 
Subtract 2 from both sides: x = -2 +/- 
8. Add 18 to both sides: 7(x - 4)^2 = 28
Divide by 7: (x - 4)^2 = 4
Square root both sides: x - 4 = +/- 2
Add 4 to both sides: x = 4 +/- 2 ⇒ x = 2 or x = 6
9. Add 5 to both sides: -2(x + 2)^2 = 13
Divide by -2: (x + 2)^2 = -13/2
Square root both sides: x + 2 = +/-
. We again need i: +/-
= +/-
+/- 
Subtract 2 from both sides: x = -2 +/- 
10. Multiply by 5 on both sides: (t + 3)^2 = 35
Square root both sides: t + 3 = +/- 
Subtract 3: t = -3 +/- 
Hope this helps!