<h3>I'll teach you how to solve 7y + 8 = 3y + 44</h3>
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7y + 8 = 3y + 44
Subtract 8 from both sides:
7y + 8-8=3y + 44-8
Simplify:
7y=3y+36
Subtract 3y from both sides:
7y-3y=3y+36-3y
Simplify:
4y=36
Divide both sides by 4:
4y/4=36/4
Simplify:
y=9
Your Answer Is y=9
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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.
Answer:
It is a simple interest account
Step-by-step explanation:
As we might see from the given earnings, the amount of money he earned each year is the same as in the previous year. This means that the amount of money is growing linearly instead of exponentialy. This is characteristic to a simple interest account, which is found by using the formula:
I=Prt
where I = interest earned.
P = principal
r = Interest rate
t = time in years,
if we use this formula to calculate the amount of money earned after t years, we can see it will be the same as the values reported:
I=$300(0.02/year)(1year)=$6
I=$300(0.02/year)(2years)=$12
I=$300(0.02/year)(3years)=$18
So this simple interest account.
O=2a+2,
o/2-a/2=4 this is your system of equations,
It you wish to solve for apples, then simply substitute o from the first equation into the second equation...
(2a+2)/2-a/2=4 multiply both sides of the equation by 2
2a+2-a=8 combine like terms on the left side
a+2=8 subtract 2 from both sides
a=6
So Javier has 6 apples in the basket.
Well, the short answer is, we divide that 3.6 by (7+2+9) and then we give as many pieces at the ratio to each, so let's do so,