Pls help Eliana needs 6 and 7/8 yards of wire.
She has 4 and 1/3 yards. How much more
wire does she need?

2 and 13/24

Step-by-step explanation:

First, figure out what you need: the difference between 6 7/8 and 4 1/3 in this case

Next, set up your equation:

6 7/8 – 4 1/3

To make the subtraction of fractions easier, turn both into improper fractions by multiplying the whole number (e.g. 6) with the denominator (e.g. 8) and then adding the numerator (e.g. 7):

6 7/8 = 55/8

4 1/3 = 13/3

To subtract these, they need to have the same denominator. By finding the lowest common multiple for 3 and 8 (the denominators) we can produce equivalent fractions with the same denominator.

LCM of 3 and 8 = 24

(55/8)*(3/3) = 165/24

(13/3)*(8/8) = 104/24

Rewrite the equation with the equivalent fractions: 165/24 – 104/24

Now subtract the numerators: 165 – 104 = 61, so the answer is 61/24

This can't be reduced further, so we turn it back into a proper fraction (by dividing the numerator by the denominator): 2 13/24

Therefore, Eliana needs 2 and 13/24 more yards of wire

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1