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4 years ago

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Mathematics

2 answers:

user100 [1]4 years ago

6 0

Answer:

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omeli [17]4 years ago

5 0

Answer:

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Step-by-step explanation:

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The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters

Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, $z \propto x$ , $z \propto \frac{1}{y}$

then the equation is in the form: $z = k\frac{x}{y}$ where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e $V \propto T$ , $V \propto \frac{1}{P}$

by definition of joint variation:

$V = k\frac{T}{P}$ .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

$10 = k\frac{300}{1.5}$

Simplify:

$10 = 200k$

Divide by 200 both sides we have;

$k = \frac{10}{200} =\frac{1}{20}$

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

$V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4$

Therefore, the Volume of a gas is, 4 liters

5 0

3 years ago

How many solutions does the equation (x-7)^2-27=37 have?

atroni [7]

Answer:

If we are solving for x it has two answers  15,-1

EXPLANATION:

first i take the root of both sides and then solve from there :

Step 1: Simplify both sides of the equation.

x2−14x+22=37

Step 2: Subtract 37 from both sides.

x2−14x+22−37=37−37

x2−14x−15=0

Step 3: Factor left side of equation.

(x+1)(x−15)=0

Step 4: Set factors equal to 0.

x+1=0 or x−15=0

x=−1 or x=15

HOPE THIS HELPS

x=−1 or x=15

6 0

3 years ago

Read 2 more answers

I'm sure this is it I got it right on mine

kolezko [41]

Answer: what are you talking about????????

Step-by-step explanation:

6 0

3 years ago

A variety pack of chocolates contains chocolate candies with different fillings. one eighth of the candy has coconut filling, 5/

tino4ka555 [31]

Answer : the number of candies having chocolate cream filling $=26$

Percent of candy has peanut butter filling = 31.25%

Fraction of candy is orange or chocolate cream = $\frac{9}{16}$

Explanation:

Part of candy has coconut filling = $\frac{1}{8}$

Part of candy has peanut butter filling = $\frac{5}{16}$

Part of candy has orange cream filling = $\frac{5}{32}$

Remaining will be chocolate cream filling

= $1-\frac{1}{8}-\frac{5}{16}-\frac{5}{32}\\=1-\frac{4+10+5}{32}\\=1-\frac{19}{32}\\=\frac{32-19}{32}\\=\frac{13}{32}$

Now, we have number of candies with coconut filling =8

so, $\frac{1}{8}\times x=8$ , where x is the total number of candies ,

x = 8×8=64

So, the number of candies having chocolate cream filling=

$\frac{13}{32}\times 64\\=26$

Percent of candy has peanut butter filling = $\frac{5}{16}\times 100\\=\frac{125}{4}$

∴Percent of candy has peanut butter filling = 31.25%

Fraction of candy is orange or chocolate cream

$=\frac{5}{32}+\frac{13}{32}\\=\frac{18}{32}\\=\frac{9}{16}$

∴Fraction of candy is orange or chocolate cream = $\frac{9}{16}$

8 0

3 years ago

If f(x)= –2x+3 then f(3) – f(4)=

arsen [322]

Answer:

Step-by-step explanation:

F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation

F(3) = -2(3) + 3

= -3

F(4) = -2(4) + 3

= -5

- 3 -(-5) = 2

4 0

3 years ago

Read 2 more answers