Ask question

Ask question

All categories

Juli2301 [7.4K]

3 years ago

14

Is 4/12more or less than 4/6

2 answers:

11111nata11111 [884]3 years ago

5 0

4/12 is less than 4/6

4/12 = 2/6

and 2/6 < 4/6

Likurg_2 [28]3 years ago

4 0

4/12 is less than 4/6. We can double check this by making both fractions have denominators of 12. If we multiply 4/6 by 2/2 (which is the same as multiplying by one), the fraction becomes 8/12. Since 8 is greater than 4, 8/12 is larger, meaning that 4/12 is smaller than 4/6.

You might be interested in

Haos dog ate 40 cns of dog food in 31 day. how many cans should hao buy to feed his dog in 6 days

Crank

The answer is 8. 40 / 31 = 1.29032258. Multiply that by 6 and you have 7.74193548. Round up because you can't buy 7.7 cans of dog food.

7 0

3 years ago

A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

3 years ago

Which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by

Triss [41]

Answer:

the answer to your question is D

4 0

3 years ago

On a game board spinner, Taylor won a prize on 6 out of 11 spins. What is the probability that she will win a prize on the next

Reptile [31]

Answer:

D. 6/11

Step-by-step explanation:

Please see the attached file for explanation

3 0

3 years ago

Manny runs 15 3/4 miles each week. Zander runs 5/6 as many miles each week as Manny.

Liula [17]

Answer:

Zander ran 13 1/8 miles

Step-by-step explanation:

Manny = M

Zander = Z

Z=M(5/6)

Z=15 3/4(5/6)

Z=13 1/8

8 0

3 years ago