Answer:
<u>Rajeev walked at 3.5 miles per hour of speed</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance Rajeev walked = 7/8 of a mile = 0.875 miles
Time of walking = 1/4 of an hour = 15 minutes
2. What was the speed in miles per hour?
Let's use the Direct Rule of Three for answering this question, as follows:
Distance in miles Time in minutes
0.875 15
x 60
*************************************************
15x = 0.875 * 60
15x = 52.5
x = 52.5/15
x = 3.5
<u>Rajeev walked at 3.5 miles per hour of speed</u>
<h3>
Answer: 49/100</h3>
=========================================================
Explanation:
There are 7 dimes and 3 pennies, leading to 7+3 = 10 coins total.
The probability of not picking a penny is 7/10. If the first coin is put back, then the probability doesn't change for the second selection.
The probability of getting two dimes is (7/10)*(7/10) = 49/100 when the first coin is replaced.
If the first coin is not replaced, then the answer would be (7/10)*(6/9) = 42/90 = 7/15
X:y
2/10 = 4/x
Cross multiply
2x X= 10x4
2x = 40
Eliminate
2x/2 = 40/2
x = 20
Answer:
36
Step-by-step explanation:
Answer:


Step-by-step explanation:
<u>Inequalities
</u>
The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is
Area=49x+80y
Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be
Operators=1x+2y=x+2y
The number of cubicles is
# cubicles=x+y
The conditions of the problem state that

