Answer:
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
q = 40
n = 5(40) = 200
Step-by-step explanation:
Number of Nickels = n
Number of Quarters = q
$2.00 = $2 * 100 = 200 cent
Nickel = 5 cent
Quarter = 25 cent
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
5(5q) + 25q = 200
25q + 25q = 200
50q = 200
q = 200/5
q = 40
n = 5(40) = 200
Answer: speed of the car is 88 miles per hour
the speed of the motorcycle is 78 miles per hour
Step-by-step explanation:
Number of miles travelled by car = 312
Number of miles travelled by motorcycle = 272
Let x = speed of the car
Let y = speed of the motorcycle
If the car's speed is 10mph more than the motorcycle's, it means
x = y + 10 - - -- - - 1
Time taken for car to travel 312 miles is distance /speed = 312/x
Time taken for motorcycle to travel 272 miles is distance /speed = 272/y
The car travels 312 miles in the same time that a motorcycle traveled 272.
This means
312/x = 272/y
312y = 272x
y = 272x/312
Substituting y = 272x/312 into equation 1, it becomes
x = 272x/312 + 10
312x = 272x + 3120
312x-272x = 3120
40x = 3120
x = 3120/40 = 78 miles per hour
x = y + 10 = y + 78
x = 88 miles per hour
Answer:
7 toys
Step-by-step explanation:
3+4=7
Both a rhombus and a rectangle have diagonals that are perpendicular bisectors, but the ones formed in a square are all congruent, so that is probably the most descriptive one.
4 x’s for 1/4
2 x’s for 2/4
1 x for 3/4
2 x’s for 1
