Answer:
m = 57t, where the units of measurement of 57 are mph and that of t is hr.
Step-by-step explanation:
Use the given info to find the speed of the train, which is a unit rate:
95 miles 95 mi
------------------ = ------------- = 0.95 mile/min
1 hr 40 min 100 min
Better yet, use hours, not minutes.
95 miles 95 mi
------------------ = ------------- = 57 mph
1 hr 40 min 1 2/3 hr
Then m(t) = (rate)(time) = (57 mph)t This corresponds to Answer D.
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
Answer:
Only 2 people would be able to go and she would have $5.50 to spend on snacks.
Answer: Laundry = $2
Dishes= $1
Step-by-step explanation:
Let the amount paid for doing laundry be x
Let the amount paid for doing dishes be y.
Based on the information in the question, this can be formed in an equation as:
5x + 8y = 18 ..... i
4x + 6y = 14 ...... ii
Multiply equation i by 4
Multiply equation ii by 5
20x + 32y = 72 ...... iii
20x + 30y = 70 ...... iv
Subtract iv from iii
2y = 2
y = 2/2 = 1
Dishes cost $1
Since 5x + 8y = 18
5x + 8(1) = 18
5x = 18 - 8
5x = 10
x = 2
Laundry cost $2
50 + (15 × 15), 50 + 15 × 50 + 15, (10 × 5) + 225, 10 × 225 + 5 × 225
Solution:
Given expression is 50 + 225.
To find the equivalent expressions for 50 + 225.
(1) 225 can be written as 15 × 15.
⇒ 50 + 225 = 50 + (15 × 15)
(2) Using distributive law, we find the another equivalent expression
a + (b × c) = a + b × b + c
⇒ 50 + (15 × 15) = 50 + 15 × 50 + 15
(3) Now, 50 can be written as 10 × 5.
⇒ 50 + 225 = (10 × 5) + 225
(4 Using distributive law, we find the another equivalent expression
a + (b × c) = a + b × b + c
⇒ (10 × 5) + 225 = 10 × 225 + 5 × 225
Hence the equivalent expressions for 50 + 225 are:
50 + (15 × 15)
50 + 15 × 50 + 15
(10 × 5) + 225
10 × 225 + 5 × 225