All categories

3 years ago

P varies inversely with x. If P = 14 when x= 16, find the value of P when x = 21.

Mathematics

1 answer:

Oliga [24]3 years ago

7 0

Answer:

Option C. 32/3

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $p*x=k$ or $p=k/x$

we know that

For p=14, x=16

Find the value of k

$k=p*x$

substitute the values

$k=(14)*(16)=224$

The equation is equal to

$p=\frac{224}{x}$

Find the value of p when x=21

substitute the value of x in the equation

$p=\frac{224}{21}$

simplify

Divide by 7 both numerator and denominator

$p=\frac{32}{3}$

You might be interested in

James is buying a table.He finds the same table for sale in two different shops.

mina [271]

"Table World" is quoting a better price

<u>Step-by-step explanation:</u>

The shop "Table World" is quoting a price of 140 inclusive of 17.5% VAT

that means 140 is the final price a customer needs to pay.

While other shop"Tables R us" is quoting a price of 120 without VAT

so we need to add VAT in the price to find out the final price

price+VAT on the price

=120+120*(17.5/100)

=120+120*0.175

=120+21

so final price =141

so comparatively "Table World" is quoting a better price

6 0

3 years ago

Is 49 a perfect square yes or no

Romashka [77]

Answer:

Yes

Step-by-step explanation:

7 x 7 = 49

4 0

3 years ago

Read 2 more answers

Help on questions 37 and 38 please!

jeka94

Answer:

Step-by-step explanation:

38.

$M=\frac{1}{2} (x_{1}+x_{2})\\2M=x_{1}+x_{2}\\x_{1}=2M-x_{2}$

37.

$S=\frac{ab^2}{3} \\3S=ab^2\\b^2=\frac{3S}{a} \\b=\pm\sqrt{\frac{3S}{a} }$

6 0

3 years ago

Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

$(1,1,a+b),\\x = 1 \\y = 1$

So it would go towards

$v = (-2a,-2b)$

The magnitud of that vector is

$|v| = 2\sqrt{a^2+b^2}$

and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

6 0

3 years ago

Simplify the expression. Write the answer in scientific notation (7x10-6) (3x10-2

shtirl [24]

Answer:

21 X 10^-8 is the correct answer

Step-by-step explanation:

(7X3) X 10^(-6-2)

21 X 10^ -8

4 0

3 years ago