Answer:
Step-by-step explanation:
To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours
speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr
Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr
Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr
Anna was the fastest
Y = 1/6x + 4....the slope here is 1/6. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign.
So the slope of a perpendicular line will be -6/1 or just -6...see how I flipped the slope and changed the sign.
Answer:
23.7%
Step-by-step explanation:
The percentage change can be computed as ...
((new value)/(original value) -1) × 100%
= (58/76 -1) × 100%
≈ (0.763 -1) × 100% = -23.7%
The decrease is 23.7%.
Answer:
m∠QRS = 49°
Step-by-step explanation:
Complementary angles are angles that add up to 90°. So m∠ABC + m∠QRS = 90°. When you simplify you get 41° + m∠QRS = 90°. So m∠QRS = 49°.
Let amount invested at 6% be S
Then amount invested at 8% = 16,000 - S
We therefore have: .06(S) + .08(16,000 - S) = 1,140 .06S + 1,280 - .08S = 1,140 .06S - .08S = 1,140 - 1,280 - .02S = - 140 S, or amount invested at 6% = $ 7,000Amount invested at 8% = $16,000 - 7,000, or $ 9,000
