Answer: x = -14/5
Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation
-2/3 (x + 2) = 1/6 (x + 6)
(-2x/3) -4/3 = (x/6) + 1
By collecting like terms we now have
(-2x/3) - (x/6) = 1 + 4/3
(-4x - x)/6 = 7/3
-5x/6 = 7/3
By cross multiplication we now have
-5x (3) = 7 (6)
-15x = 42
x = -(42/15) {simplify further by dividing the RHS by 3}
x = -14/5
Therefore x equals, minus fourteen over five (-14/5)
Answer: C. She is dividing the entire length into shorter lengths.
The rest of the question would be "How many pieces will she get?"
Step-by-step explanation:
A would be a subtraction problem UNLESS it goes on to ask "how many 1/3 yard pieces can she cut?"
It's a subtraction problem if it's about "how many yards are left?"
B is just backwards and makes no sense with the expression given.
A. He eats 1/8 a pound of candy each day.
B. It would take him a total of 8 days to eat a pound of candy.
A. Since he ate 10 ounces in 5 days, you divide 10 by 5 to find he ate 2 ounces per day. Since there are 16 ounces in a pound that would be your denominator (bottom of fraction) and 2 would be the numerator (top of your fraction). You will get 2/16 which if you simplify (divide by 2) you get 1/8.
B. Knowing that there are 16 ounces per pound and he ate 1/8 pound ( 2/16 pound or 2 ounces) a day, you can either look at the simplified denominator to get the answer, or, divide 16 by 2 to get your answer.
I hope this helps!
I'm assuming we have to solve for "p" here...
By making an equation, we will get...
(p/4)-4=10
Add four on both sides...
(p/4)=14
Remove parentheses and multiply by four on both sides.
p=56
Answer:
<h2>
50°</h2>
Step-by-step explanation:
AB = AC
So, it is a isosceles triangle.
<B = <C = 65°
Sum of angles of triangle = 180°
< A + < B + <C = 180°
plug the values:
X + 65° + 65° = 180°
Calculate the sum
X + 130° = 180°
Move constant to R.H.S and change its sign
x = 180° - 130°
Calculate the difference
X = 50°
Hope this helps...
Good luck on your assignment...
