A is the answer because if we want the unit rate we do
2/3÷2/3 and 15 1/5, we can turn 15 1/5 into a improper fraction first so 76/5 and we do 76/5 ÷2/3 which is equal to
76/5×3/2=114/5
114/5 simplifies into 24 4/5.
so Naomi can travel 24 4/5 gal per mile.
Hope this helps!
Answer:
Step-by-step explanation:
axiom goes with a given definition assumed to be true
theorem goes with a logical argument showing that a theorem is true
proof is a statement that requires proof
Answer:
The answer to your question is: three hours.
Step-by-step explanation:
data
Jogger 1 = 6 mi/h
Jogger 2 = 6.5 miles/h , starts 15 min (0.25 h) after the first Jogger
Time when the second jogger catch the first jogger = ?
Process
Advantage of the first jogger d = vt = 6(0.25) = 1.5 mi
Distance where they meet 1.5 + 6t = 6.5t
Find the t value 6.5t - 6t = 1.5
0.5 t = 1.5
t = 1.5 / 0.5
t = 3 hours
Answer:
Let y=ax^2+bx+c be the equation of the parabola. Set up equations.
Using (0,5). 5=a(0)2+b(0)+c
5
=
a
(
0
)
2
+
b
(
0
)
+
c
Using (2,15), 15=a(2)2+b(2)+5
15
=
a
(
2
)
2
+
b
(
2
)
+
5
4a+2b=10
2a+b=5
Using (4,9)
9=a(4)2+b(4)+5
9
=
a
(
4
)
2
+
b
(
4
)
+
5
16a+4b=4
4a+b=1
Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4
a=-2
Solve for b using (1): 2(-2)+b=5
-4+b=5
b=9
So, the equation is y=−2x2+9x+5
Step-by-step explanation:
Answer:
5.33 hours
Step-by-step explanation:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Time Ashley takes to prepare one bag = 2/3 min
Time it takes each friend of Ashley to prepare one bag = 75% more than it takes Ashley
= (75% of 2/3 min) + 2/3 min
= (0.75 × 2/3) + 2/3
= (3/4 × 2/3) + 2/3
= 6/12 + 2/3
= 1/2 + 2/3
= (3+4)/6
= 7/6 min
Rate of Ashley and 4 friends preparing 1 bag
Rate Ashley works = 1 bag / (2/3) min
= 3/2 bag/min
Rate each friend of Ashley works = 1 bag / (7/6) min
= 6/7 bag/min
Rate 4 friends of Ashley works
= 4 × 6/7 bag/min
= 24/7 bag/min
Rate of Ashley and 4 friends preparing 1 bag = 3/2 bag/min + 24/7 bag/min
= 3/2 + 24/7
= (21+48)/14
= 69/14 bag/min
Time taken to prepare 1575 bags
= number of bags / number of bags per min
= 1,575 bags / (69/14) bags/min
= 1575 × 14/69
= (1575×14)/69
= 22,050 / 69
= 319.57 min
319.57 min to hours
= 319.57 min / 60 min
= 5.33 hours