110 I believe is the answer
Answer:
159.375 feet.
Step-by-step explanation:
Let d represent stopping distance of a car and s represent speed of car.
We have been given that the stopping distance of a car varies directly as the square of its speed.
We know that two directly proportional quantities are in form 
, where y is directly proportional to x and k is constant of proportionality.
We can represent our given information in an equation as:
.
We are also told that a car traveling at 20 mph requires 25.5 ft to stop. We can represent this information in our equation as:
Now, we will substitute and 
in our equation and solve for d as:
Therefore, a car traveling at 50 mph requires 159.375 feet to stop.
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
Solutions
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
Equation # 1
x + y = 86
This says that t<span>he vendor sold 86 items.
</span>Equation # 2
2x + 5y = 330
= $2 for each lemonade
= $5 for each hot dog.
= total amount earned is $330.
Only these two equations are true and needed.
