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= ?

Question

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pinquancaro pinquancaro · Answer 1 · 2018-08-17T07:28:31+02:00

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.

[tex] x \times y=14 [/tex]

So, xy=14 (Equation 1)

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

So, [tex] x = 3\frac{1}{2}\times y [/tex]

[tex] x=\frac{7}{2}y [/tex] (Equation 2)

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

[tex] \frac{7}{2}y \times y = 14 [/tex]

[tex] \frac{7}{2}y^{2} = 14 [/tex]

[tex] y^{2} = 4 [/tex]

So, y= 2 and -2

So, [tex] x=\frac{14}{2} [/tex] and [tex] x=\frac{14}{-2} [/tex]

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.