Answer:
<em>123 pens in Box A</em>
Step-by-step explanation:
To solve this we will rewrite the word problem as an equation...
5x (A)
x (B)
When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...
5x - 82 (Change in Box A - subtraction)
x + 82 (Change in Box B - addition)
The problem now states that Box A and Box B are equal...
5x - 82 = x + 82
--- subtract x from both sides ---
4x - 82 = 82
--- add 82 to both sides ---
4x = 164
--- divide both sides by 4 ---
x = 41 pens
Now, we replace the x in the expression "5x - 82" with 41...
5(41) - 82 = 205 - 82
205 - 82 = 123
123 pens in Box A
Hope this Helps!
Answer:
You would first add 3 to 12 - 6x =15
x =2.5
12(2.5) = 30
Final value =38
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because it is not a linear equation
Answer:
D. is to the right of -0.9 on the horizontal number line
Step-by-step explanation:
The given inequality is 
i.e. - 0.8 > - 0.9 .......... (1)
Now, when in a number line a number a is greater than another number b, then a must be placed to the right of the number b on the number line.
So, in our case - 0.8 > - 0.9 is true and - 0.8 is tot he right of - 0.9 on the horizontal number line. (Answer)
Answer:
Step-by-step explanation:
A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it's width. Let the width of the rug be represented by w. This means that the length of the rug will be w + 2
The total area of the rug (in square inches ) based on the width W of the rug (in inches ) is given by
A(w) = w (2+w)
If the desired area of the rug is 15 square inches,,the width will be determined by substituting 15 for A(w). It becomes
15 = w^2 + 2w
w^2 + 2w - 15 = 0
w^2 + 5w - 3w - 15 = 0
w(w+5) -3(w+5)
w - 3 = 0 or w+ 5 = 0
w = 3 or w = -5
w cannot be negative. So w = 3 inches
