Solve for r:8x+365x + 60°

Mathematics

1 answer:

Ksju [112]3 years ago

8 0

Answer:

Step-by-step explanation:763

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The larger of two numbers is eight more than twice the smaller. The sum of the numbers is 10 less than three times the larger. F

Alinara [238K]

Answer:

-2 and 4

Step-by-step explanation:

Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.

x = 2y + 8

x + y = 3x - 10

Now, we put the value of x into the second equation.

2y + 8 + y = 3(2y + 8) - 10

Now we can solve for y

3y + 8 = 6y + 24 - 10

3y + 8 = 6y + 14

8 = 3y + 14

-6 = 3y

-2 = y

Now that we have the smaller number, we can put it into the first equation and solve for the larger.

x = 2*-2 + 8

x = -4 + 8

x = 4

So your two numbers are -2 and 4.

3 0

4 years ago

The perimeter of a rectangle garden is 48 feet. The length is 5 times the width.

VARVARA [1.3K]

I'll draw a diagram for you, so that it's easier to understand.
First you have to understand that the perimeter is all the sides add up together.

Let's set up an equation, using l for the length, and w for the width.

5w + w = 48
Simplify
6w = 48
Divide by 6 on both sides
w = 8

Now the value we got is actually both widths (the green sides), so the width is actually 4. Which means that the length is 20.

The answer is 4ft by 20 ft.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)