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3 years ago

Change the recurring decimal into fraction, 3.256

Mathematics

1 answer:

BabaBlast [244]3 years ago

5 0

Answer:

405 / 125

Step-by-step explanation:

3.256

= 3256 / 1000

= 407 / 125

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WILL MARK BRAINLIST

Elanso [62]

Answer:

slope= 10/9

y intercept= -11/9

Step-by-step explanation:

9y= 10x -11

y= 10/9x -11/9

slope= 10/9

y intercept= -11/9

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3 years ago

The distance DA between earth and the sun is 93,000,000 miles, the distance DE between earth and the moon is 240,000 miles, and

Rudiy27

Answer:

Step-by-step explaidknation:

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3 years ago

Your company is hosting a benefit 5 kilometer race.

Mars2501 [29]

In this question the main part is to convert the kilometer to miles and then writing the answer to the nearest tenth of a mile. the information given in the question is that the race is for a distance of 5 kilometers.
Now we already know
1 km = 0.6214 mile
Then
5 km = ( 0.6214 * 5) miles
= 3.107 miles
= 3.11 miles
So the actual distance when converted to miles will be 3.11 miles. I hope this is the answer you were looking for. This is the simplest way for doing such problems and in future you can follow this method to find the answers without the need of any help.

5 0

3 years ago

Read 2 more answers

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

1. Write an algebra equation for each purchase. I (Mickey) bought an ice cream treat and a bottle of water for $10. Pam purchase

Ne4ueva [31]

x+y=10

x+2y=14
x is common in both so u have to subtract the second one from 1st
x-x + y-2y = 10-14
-y = -4
y=4
which means bottle of water (y) = 4
and then substitute 4 in equation (x+y=10 or x+2y=10)
x + 4 = 10
x=6

5 0

3 years ago