Question

HELP PLZ PICK ONE OF THE ONES SHOWN:

1.

Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for $1.10/lb. How many pounds of lollipops are in the mixture?


2.If the product of two numbers is 14 and one of the numbers is 3 ½ times the other, then what is the sum of the two numbers?


3.Given:

AB≅BC and AE = 10 in,

m∠FEC = 90°

m∠ABC = 130°30’

Find: m∠EBC, AC

m of angle EBC= ?

Answer 1

I am doing with Question Number 2

Let the two numbers be 'x' and 'y'.

According to the question, the product of two numbers is 14.

`x * y=14`

So, xy=14 (Equation 1)

Now, one of the numbers is 3 ½ times the other.

So,
`x = 3(1)/(2)* y`

`x=(7)/(2)y` (Equation 2)

Substituting the value of 'x' from equation 2 in equation 1, we get

`(7)/(2)y * y = 14`

`(7)/(2)y^(2) = 14`

`y^(2) = 4`

So, y= 2 and -2

So,
`x=(14)/(2)` and
`x=(14)/(-2)`

x=7 and -7

Numbers are 2,7 and -2,-7.

Sum of numbers 2 and 7 = 9

Sum of numbers -2 and -7 = -9.