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Svet_ta [14]
3 years ago
11

Priya, variable "p", jumped 3 inches more than Xeno, “x”, in a high jump contest. Mai, “m”, jumped three times as many inches hi

gher than Priya. If Mai jumped 14 inches, how many inches did Xeno reach? (You can use a tape diagram or hanger diagram to help solve this problem). ***EXPLAIN how you found your answer below:
Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

Xeno jumped 1 2/3 in

Step-by-step explanation:

if Mai jumped 3 times higher than Priya dividing Mai's 14 by 3 would get Priya's height. Then by subtracting 3 from Priya's height, which is 4 2/3, you get Xeno's height which is 1 2/3 in

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3 years ago
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
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