A scooter travels 10 miles per hour faster than an electric bicycle. The scooter traveled for 3 hours, and the bicycle traveled 5 1/2 hours. Altogether, the scooter and bicycle traveled no more than 285 miles. Find the maximum speed of each.
Answers
Answer:
Bicycle: 30 miles/hour
Scooter: 40 miles/hour
Step-by-step explanation:
Let the speed of the bicycle be s,
Then the speed of the scooter is:
s + 10
Distance = speed × time
Distances covered:
Bicycle: (s)(5½) = 5.5s
Scooter: (s + 10)(3) = 3s + 30
Total:
5.5s + 3s + 30
8.5s + 30
8.5s + 30《285
8.5s《255
s《30
s + 10《40
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At the movies, tickets for a night show cost $9, and tickets for a day show cost $6.75. What percent is the discount you get for going to a day show?
Answers
Answer:
Identify the location of each point on the number line.
0.5 is point
✔ D
.
A negative one-half is a point
✔ C
.
–1.4 is a point
✔ B
.
2 is point
✔ F
.
Step-by-step explanation:
Answers
45 = 15% × n
15% =
45 = 0.15n
0.15 and 0.15 cancels out
300 = n
15% of 300 is 45
45 is 155 of 300
15% × x = 45
x = 45 ÷ 15%
x = 45 ÷ 15/100
x = 45 × 100/15
x = 4500/15
x = 300
Check:
15% × 300
= 15/100 × 300
= 15 × 3
= 45
45 is 15% of 300.
Answers
Stamps = 100, Postcards = 40
100 x 0.41 cents + 40 x 0.26 cents = $41 + $10.4 = $51.4
------ Solution-----
$0.41 x STAMPS + $0.26 x POSTCARDS = $51.4
1 STAMP = 20 + 2 x POSTCARDS
$0.41 x (20 + 2 x POSTCARDS) + $0.26 POSTCARDS = $51.4
POSTCARDS = 40
STAMPS = 20 + 2 x 40 = 100
Answer:
Julie bought 40 postcards and 100 stamps.
Step-by-step explanation:
Write the equation by adding the total values of each item.
0.41 (2p+20)+0.26p = 51.40
We can solve this equation for p to find the number of postcards.
0.41(2p+20)+0.26p =51.40
0.82p+8.20+0.26p=51.40
1.08p=43.2
p=40
So, the number of postcards she bought is 40. Since the number of 41-cent stamps is 20 more than twice the number of postcards, the number of 41-cent stamps is 2(40)+20=100.
Answers
Answers
2 weeks
5 weeks
7 weeks
10 weeks
Answers
Subtract how much she has saved already from the total cost:
253.77 - 136.27 = 117.50
She needs $117.50 more.
Now divide that by the savings per week to find the number of weeks:
117.50 / 23.50 = 5 weeks.
Answer:
5 weeks
Step-by-step explanation:
hope it helps