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2 years ago

A 50% decrease followed by a 75% increase

Mathematics

2 answers:

Nataly_w [17]2 years ago

7 0

Greater than the original

Bogdan [553]2 years ago

5 0

Greater than! 25% increase

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Worth 10 points please help

Alika [10]

D. 5/4 * 12/1 equals 60/4 which is 15 then minus 1 to get 14.

8 0

2 years ago

What is 34827 x 7 = Jasper over here..

kirill [66]

Answer:

243789

Step-by-step explanation:

(34827) 7 = 243789

Hope this helps!

3 0

1 year 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

2 years ago

I will mark brainliest

Vilka [71]

Answer:

2nd option

Step-by-step explanation:

The zeros are the points on the x- axis where the graph crosses.

Since the graph crosses the x- axis at x = - 1 and x = 5, then

The zeros are x = - 1 and x = 5

5 0

2 years ago

There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5:1. How many pens ar

Flura [38]

Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5x and number of blue pens be x.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5x + x = 24

⇒6x = 24

⇒ $x=\frac{24}{6}=4$

So, number of red pens in the drawer = 5x = 5 × 4 = 20

Number of blue pens in the drawer = x = 4

6 0

2 years ago