Answer:

Step-by-step explanation:

The interval notation is (-12, 12).

Well you need first 1 2/4 of a yard. Then you will need 5/6 of a yard. But first you need to put them together. So we need to find the common denominator. Six and four both share which multiple? Twelve. So let's rewrite that. You need 1 6/12 yards + 10/12 yards of wrapping paper. But before we do anything else we need to fix the mixed number. 1 6/12 isn't as easy to add ad 18/12 is. So 18/12 + 10/12 = 28/12
That can simplify as well. Now it's 14/6 which is equivalent to the fraction we had before. But it can also go down to 2 2/6. Now we can simplify it even further. By dividing it by two we can get 2 1/3. These are the measurements we need. So you would need how many thirds? Seven. (2 1/3 is seven thirds) This is your final answer.
You would need to have seven peices of wrapping paper cut to wrap both gift boxes.
We can Notice that ∠ABC = ∠ACB
We know that if Two Angles are Equal then Angles Corresponding to those Sides are also Equal.
⇒ AB = AC
⇒ 4x + 4 = 6x - 14
⇒ 6x - 4x = 4 + 14
⇒ 2x = 18
⇒ x = 9
⇒ Length of BC = 2x + 7 = 2(9) + 7 = 18 + 7 = 25 units
The value of x is 0.65
<u>Step-by-step explanation:</u>
This solution is given by solving the given problem using BODMAS rule.
This means that the steps to be followed to find the solution should be in the order of BODMAS rule.
B- Bracket, O- of, D- Division, M- Multiplication, A- Addition, S- Subtraction.
This rule states that the 1st operation must be done for Brackets.
⇒ -3.75+2(-4x+6.1)-3.25 = 0
⇒ -3.75 -8x + 12.2 -3.25 = 0
The addition operation should be performed next and then followed by subtraction.
⇒ -8x -7+ 12.2 = 0
<u>To find the value of x :</u>
Keeping the x term alone on one side and moving the constants on other side,
⇒ -8x = -12.2 + 7
⇒ -8x = -5.2
⇒ x = 5.2/8
⇒ x = 0.65
Upward motion
Hope that helps