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Anvisha [2.4K]
3 years ago
15

At 10:00 a.m. two boys start out on their bikes to meet each other from towns located 68 miles apart. At 1:00 p.m. they meet. If

one boy traveled 3 miles per hour faster than the other, what was the rate of speed of each boy?
Mathematics
1 answer:
algol [13]3 years ago
4 0
A = speed of one boy 
<span>a + 3 = speed of 2nd boy </span>

<span>d = speed X time ... time is 3 hrs </span>

<span>68 = 3a + 3(a + 3) </span>
<span>6a = 59 </span>
<span>a = 59/6 = 9 5/6 miles per hour </span>
<span>a + 3 = 12 5/6 miles per hou</span>
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Step-by-step explanation:

(x1,y1)and (x2,y2)

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A is reflected over the y axis and translated 2 units up and 2 units to the right.

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If the balance at the end of eight years on an investment of $630 that has been invested at a rate of 9% is $1,083.60, how much
Contact [7]
The interest is $453.60.

The total amount includes principal + interest.  The principal was 630 and the total amount was 1083.60.
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3 0
3 years ago
Bianca took a job that paid $150 the first week. She was guaranteed a raise of 6% each week. How much money will she make in all
ivann1987 [24]

Answer:

$225.54 (hope it help)

Step-by-step explanation:

for 2nd week

$150 for the first week and a raise of 6% each week

which means 150+6%

6% of 150 is 9 (150x0.06)

150+9=159

and it repeats

for 3rd week

6% of 159 is 9.54 (159x0.06)

159+9.54=168.54

for 4th week

6% of 168.54 is 10.1124 (168.54x0.06)

168.54+10.1124=178.652

for 5th week

6% of 178.652 is 10.71912 (178.652x0.06)

178.652+10.71912=189.37112

an easier to do it is to just do 178.652 + 6% on your calculater

and I'll skip all the way to the 8th since you know the formula

212.777390432+6%=225.544033858

225.544033858≈225.54

3 0
3 years ago
How do I solve |5-3p|+9=13p+8
anastassius [24]

Answer:

p = -2/5 or 3/8

Step-by-step explanation:

|5 − 3p| + 9 = 13p + 8

|5 − 3p| = 13p − 1

If 5 − 3p is positive:

5 − 3p = 13p − 1

6 = 16p

p = 3/8

If 5 − 3p is negative:

-(5 − 3p) = 13p − 1

-5 + 3p = 13p − 1

-4 = 10p

p = -2/5

Alternatively, we can square both sides of the equation:

(5 − 3p)² = (13p − 1)²

25 − 30p + 9p² = 169p² − 26p + 1

0 = 160p² + 4p − 24

0 = 40p² + p − 6

0 = (5p + 2) (8p − 3)

p = -2/5 or 3/8

8 0
3 years ago
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