Answer:
The inequality for 
is:
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle = 
ft
Perimeter is at least 300 ft
To write an inequality for .
Solution:
Perimeter of a rectangle is given as:
⇒ 
where 
represents length of the rectangle and 
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒ 
Using distribution:
⇒ 
Simplifying.
⇒ 
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒ 
Solving for
Subtracting both sides by 16.
⇒ 
⇒ 
Dividing both sides by 2.
⇒ 
⇒ (Answer)
Answer:
Question 1 : The answer is 143.3 miles
Question 2 : The answer is 120 minutes
Step-by-step explanation:
1.Based on the give conditions:
2. 90 miles = 75min
143.3 ÷ 90 = 1.6
75 × 1.6 = 120
so the answer is 120 min
Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.
Step-by-step explanation:
Let x represent the amount that he would deposit in the simple interest account.
Let y represent the amount that he would deposit in the certificate of deposit.
she will deposit twice as much in the certificate of deposit. It means that
y = 2x
Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x
Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.
The total interest from both accounts would be $390. It means that
0.07x + 0.05y = 390- - - - - - - - - - 1
Substituting y = 2x into equation 1, it becomes
0.07x + 0.05 × 2x = 390
0.07x + 0.1x = 390
0.17x = 390
x = 390/0.17 = $2294
y = 2x = 2 × 2294
y = 4588
Answer:
Force= Mass×Accelaraion
F=m×a
But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²
Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)
So now we have,
2000N= m×4.47m/s²
= 2000/4.47m/s²=m
= 447.42
Thus the mass of the object is 447.42 (i am not sure of units)
3/5 x 10= 6 miles because coach runs 10 times what you run
