Ask question

Ask question

All categories

3 years ago

11

The sum of two numbers is 9 . one number is nine less than twice the other. find the two numbers.

1 answer:

dimulka [17.4K]3 years ago

7 0

Hello!

To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.

x+y=9
x=2y-9

To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.

2y-9+y=9
3y-9=9
3y=18
y=6

We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.

x=2·6-9
x=12-9
x=3

Just to check, we will plug these two numbers into the first equation.

3+6=9
9=9

Our two numbers are three and six.

I hope this helps!

You might be interested in

Hey, can you plz help me answer this!

algol [13]

The answer is 24.

28/ 1 1/6 = 24

6 0

2 years ago

Read 2 more answers

The slope of the line below is -2. Use the coordinates of the labeled point to

Vilka [71]

Answer:

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

$y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)$

Step-by-step explanation:

Incomplete question:

There is no point to complete the equation.

As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.

The linear equation can be written generically as:

$y(x)=mx+b\\\\y(x)=-2x+b$

If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:

$y_0=-2x_0+b$

Then, we can calculate b as:

$y_0=-2x_0+b\\\\b=y_0+2x_0$

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

$y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)$

6 0

3 years ago

Kenny reads 4/9 page in 3/5 min. what is Kenny's unit rate? <br><br> Step by step.

il63 [147K]

Answer:

The unit rate is $\frac{27}{20}\text{ page/minute}$

Step-by-step explanation:

Given : Kenny reads $\frac{4}{9}$ page in $\frac{3}{5}$ min.

To find : What is Kenny's unit rate?

Solution :

Kenny reads $\frac{4}{9}$ page in $\frac{3}{5}$ minute

This can be written as,

$\frac{4}{9}\text{ page}=\frac{3}{5}\text{ minute}$

Divide both side by $\frac{9}{4}$

$\frac{4}{9}\times \frac{9}{4}\text{ page}=\frac{3}{5}\times \frac{9}{4}\text{ minute}$

$1\text{ page}=\frac{27}{20}\text{ minute}$

The unit rate is $\frac{27}{20}\text{ page/minute}$

4 0

3 years ago

If f(x) = 2x2 – 2, what is<br> X, what is f(-6)<br> give the right answer for a brilliant!

NARA [144]

Answer:

f(- 6) = 70

Step-by-step explanation:

To evaluate f(- 6) , substitute x = - 6 into f(x)

f(- 6) = 2(- 6)² - 2 = 2(36) - 2 = 72 - 2 = 70

5 0

3 years ago

What number when divided by 12 gives a quotient of 16 and a remainder of 8?

valina [46]

(12 x 16) = 192 + 8 = 200

Therefore the answer is 200 which when divided by 12 gives a quotient of 16 and a remainder of 8.

3 0

3 years ago