Answer:
3 : 2
Step-by-step explanation:
We are asked to calculate as a ratio 9 nickels to 3 dimes reduced to lowest terms.
One nickel means $0.05 and one dime means $0.10.
So, 9 nickels is equal to $(0.05 × 9) = $0.45
And 3 dimes is equal to $(0.10 × 3) = $0.30
Therefore, the ratio will become 0.45 : 0.30 ≡ 3 : 2 (Answer)
Answer:
7 + 3/8x
Step-by-step explanation:
8+7/8x−1−1/2x.
Combine like terms
8-1 + 7/8x -1/2x
7 + 7/8x -1/2x
Get a common denominator
7 + 7/8x -4/8x
7 + 3/8x
so here
ratio of mixture is actually ratio of number of pints
so
blue pints/ red pints = b/r =2/5
so
b = (2/5) r
b = (0.4) r
The answer is D hope that helped
Answer: Downhill:10mph Uphill:5mph
Step-by-step explanation:
We are looking for Dennis’s downhill speed.
Let
r=
Dennis’s downhill speed.
His uphill speed is
5
miles per hour slower.
Let
r−5=
Dennis’s uphill speed.
Enter the rates into the chart. The distance is the same in both directions,
20
miles.
Since
D=rt
, we solve for
t
and get
t=
D
r
.
We divide the distance by the rate in each row and place the expression in the time column.
Rate
×
Time
=
Distance
Downhill
r
20
r
20
Uphill
r−5
20
r−5
20
Write a word sentence about the time.
The total time traveled was
6
hours.
Translate the sentence to get the equation.
20
r
+
20
r−5
=6
Solve.
20(r−5)+20(r)
40r−100
0
0
0
=
=
=
=
=
6(r)(r−5)
6
r
2
−30r
6
r
2
−70r+100
2(3
r
2
−35r+50)
2(3r−5)(r−10)
Use the Zero Product Property.
(r−10)=0
r=10
(3r−5)=0
r=
5
3
The solution
5
3
is unreasonable because
5
3
−5=−
10
3
and his uphill speed cannot be negative. So, Dennis's downhill speed is
10
mph and his uphill speed is
10−5=5
mph.
Check. Is
10
mph a reasonable speed for biking downhill? Yes.
Downhill:
10 mph
5 mph⋅
20 miles
5 mph
=20 miles
Uphill:
10−5=5 mph
(10−5) mph⋅
20 miles
10−5 mph
=20 miles
The total time traveled was
6
hours.
Dennis’ downhill speed was
10
mph and his uphill speed was
5
mph.
