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2 years ago

X:y=5:3 and x+y=56 work ouy the value of x and y

Mathematics

1 answer:

emmainna [20.7K]2 years ago

8 0

Answer:

x=35, y=21

Step-by-step explanation:

A way to rewrite the first equation is $\frac{x}{y} =\frac{5}{3}$

after cross-multiplying, we get 3x=5y.

If we solve for one variable, we can substitute it into the other equation.

Let's solve for x.

3x=5y

x=(5/3)y

Now, we can substitute x=(5/3)y in the equation x+y=56.

(5/3)y+y=56

(8/3)y=56

y=21

Going back to x+y=56, we can now plug back in y, knowing that it is 21.

x+21=56

x=35.

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10. Use the properties of exponents to simplify the expression:

aivan3 [116]

<h3>Answer :</h3>

$\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}$

Let's solve !

$:\implies\sf\:25^{\frac{3}{2}}$

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Hence, Oprion-D is correct !

7 0

3 years ago

Write an equation in slope-intercept form for the following line: (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

4 0

2 years ago

What is the first step in solving the equation

Varvara68 [4.7K]

Answer:

First Step: separate x^2 from -16

Second Step: add -16/25 to the other side.

Step-by-step explanation:

x^2 - 16/25 = 0

^^ this might be easier if you separate x^2 and -16

First Step-

so rewrite the problem as x^2/25 -16/25 = 0

then...

Second Step-

add -16/25 to the other side. This makes it: x^2/25 = 16/25

Continuation-

Now, you can multiply 25 on both sides to cancel it out.

so you have x^2 = -16

Message me if you want to solve for x.

4 0

3 years ago

Read 2 more answers

Which equations describes the line shown?

LenKa [72]

It should be y=2x-3 since it’s touching -3 on the y axis and the it’s going 2 units up and 1 to the right, making the slope = 2.

3 0

1 year ago

Please help me on this question, I was struggling with it for an hour from now.

krek1111 [17]

Answer:

Step-by-step explanation:

P(3) = ⅙

P(5) = ⅙

Trials are independent so,

P(3 then 5) = 1/6 × 1/6 = 1/36

4 0

3 years ago

X:y=5:3 and x+y=56 work ouy the value of x and y​

X:y=5:3 and x+y=56 work ouy the value of x and y