What is the value of x in simplest radical form?

Mathematics

1 answer:

Vikki [24]2 years ago

5 0

Answer:

It's 90 because we'll make it equal

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The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma

lilavasa [31]

Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)

3 0

2 years ago

PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe

antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

$x=\dfrac{y}{3}$ ...(i)

$x+y=y^2-5$ ...(ii)

Put value of x from (i) in (ii)

$\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}$