Answer:
213.333 ounces
Step-by-step explanation:
A small office purchases bottled drinking water. The water comes in containers that hold 5 gallons. Two-thirds of the office container was drained last week to put out a fire in the wastebasket.
a. How much water (in ounces) is left in the container?
b. How many 12-ounce glasses can be filled with the water that remains in the container
Container = 5 gallons
Two-thirds was drained last week to put out a fire in the wastebasket
That is 2/3 of 5
= 2/3 × 5
= 10 / 3 gallons
Water left in the container = 5 - 10/3
= 15-10/3
= 5/3 gallons
Convert 5/3 gallons to ounces
5/3 gallons = 213.333 ounces
B. Number of 12 ounces glass that can be filled from the water left in the container = 213.333 ounces / 12
= 17.77775
Approximately 18
Answer:
9/16
Step-by-step explanation:
1) convert 1/8 into 2/16 so denominator are the same
2) then you just add the fractions
Suppose x is sold, $280 each , and y is the total financial cost. The first equation in the system is then certainly y = 280x.
The vertex form <span>y-k = a(x-h)^2 where (h,k) is the vertex, and y is the y-intercept.
So, plug the values in.
</span><span>11,000-24,000 = a(0-500)^2
-13,000=250,000a
a=-0.052
y-</span><span>24,000 = -0.052(x-500)^2
y= </span><span>-0.052(x-500)^2 + 24,000
This is the second equation in the system.
The answer is then A, which contain the system </span><span>of equations which can be used to determine must be sold for the company to make a profit.</span>
Here is the inequality:
You're looking for x. To find it, you have to remove everything on the same side of the variable. The only thing with it is positive 6. To remove it, you have to do the opposite of it, which is -6, which is also the same as subtracting 6. Subtract 6 from both sides:
Now you have -2x. When you have a negative variable, the inequality sign changes. Change the sign:
You're looking for x alone. To leave x alone, you have divide both sides by -2 since the variable is -2x. Divide both sides by -2:
When dividing a negative number number by a positive or vice versa, the result is ALWAYS negative. That's why in your answer, it's -7.
Your answer is x > -7
GRAPH:
Total investment = $10,500
Let x = amount of first investment, and y the amount of the second investment.
First investment:
Interest rate = 9 (1/5)% = 0.092
Earned interest = 0.092x
Second investment:
Interest rate = 9% = 0.09
Earned interest = 0.09y
Total interest after one year is $957.00, therefore
0.092x + 0.09y = 957
or
1.0222x + y = 10633.33 (1)
Also,
x + y = 10500 (2)
Subtract (2) from (1).
0.0222x = 133.33
x = 6000
y = 10500 - x = 4500
Answer:
The first investment is $6,000 at 9 (1/5)% rate;
The second investment is $4,500 at 9% rate.
