All categories

3 years ago

How to solve proportions

Mathematics

1 answer:

Delicious77 [7]3 years ago

6 0

Step-by-step explanation:

stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation

You might be interested in

The smaller of two consecutive even integers is two more than half of the greater. find the two integers.

lana [24]

Greetings and Happy Holidays!

Let x represent the smaller, even integer.
Let (x+2) represent the larger, even integer.

We can create an algebraic equation to solve for the numbers:
$x=\frac{(x+2)}{2}+2$

Simplify:
$x=\frac{1}{2}x+1+2$

$x=\frac{1}{2}x+3$

Add $\frac{-1}{2}x$ to both sides:
$(x)+(\frac{-1}{2}x)=(\frac{1}{2}x+3)+(\frac{-1}{2}x)$

$(\frac{1}{2}x)=3$

Divide both sides by $\frac{1}{2}x$
$\frac{\frac{1}{2}x}{ \frac{1}{2}}=\frac{3}{\frac{1}{2}}$

$x=\frac{3}{1}(2)$

$x=\frac{6}{1}$

The Answer Is:
$\boxed{x=6}$
and
$x+2=6$
$\boxed{x=8}$

The two consecutive even integers are 6 and 8.

I hope this helped!
-Benjamin

8 0

3 years ago

Find the jacobian of the transformation. x = u2 + uv, y = uv2

atroni [7]

$\mathbf J=\begin{bmatrix}\dfrac{\partial x}{\partial u}&\dfrac{\partial x}{\partial v}\\\\\dfrac{\partial y}{\partial u}&\dfrac{\partial y}{\partial v}\end{bmatrix}=\begin{bmatrix}2u+v&u\\v^2&2uv\end{bmatrix}$

The Jacobian has determinant

$\det\mathbf J=\begin{vmatrix}2u+v&u\\v^2&2uv\end{vmatrix}=(2u+v)2uv-uv^2=4u^2v+uv^2=uv(4u+v)$

5 0

4 years ago

What is X plus seventeen equals three

murzikaleks [220]

Answer: -14

Step-by-step explanation: 3-17= -14

17+(-14)=3

6 0

4 years ago

Two friends went to Best Buy and bought Pokemon cards and baseball cards. Each Pokemon card was the same price and each baseball

Inessa05 [86]

A, $1.42. i found this answer plugging in 1.42 and seeing if it would work or not

4 0

3 years ago

Hello can yall help me with this

dem82 [27]

Answer:

Opttion B

Step-by-step explanation:

The mean would increase ans the median would stay the same

8 0

3 years ago