Answer:
r = -4
Step-by-step explanation:
Step 1: Write out equation
4r + 8 + 5 = -15 - 3r
Step 2: Combine like terms
4r + 13 = -15 - 3r
Step 3: Add 3r to both sides
7r + 13 = -15
Step 4: Subtract 13 on both sides
7r = -28
Step 5: Divide both sides by 7
r = -4
Answer:
Largest possible length is <em>21 inches</em>.
Step-by-step explanation:
Given:
Total material available = 60 inches
Length to be 3 more than twice of width.
To find:
Largest possible length = ?
Solution:
As it is rectangular shaped frame.
Let length =
inches and
Width =
inches
As per given condition:
..... (1)
Total frame available = 60 inches.
i.e. it will be the perimeter of the rectangle.
Formula for perimeter of rectangle is given as:

Putting the given values and conditions as per equation (1):

Putting in equation (1):

So, the answer is:
Largest possible length is <em>21 inches</em>.
Answer:
The slope of the perpendicular line to the line is
m = 
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the line y =f(x) = 2x +6
⇒ y = 2x +6
comparing y =mx +c
The slope of the given line m =2
<u><em>Step(ii):- </em></u>
The slope of the perpendicular line = 
The slope of the perpendicular line = 
Answer:
6 bundles
Step-by-step explanation:
Each person made 9 cards
and there are 4 persons
Hence, the total number of cards is the multiplication of these. So
Total Number of Cards = 9 * 4 = 36 cards
Since, they will pile up them in GROUPS of 6, the number of groups that will be made is:
36 / 6 = 6
Hence, there will be 6 bundles in total
Answer: y= -2.5
Step-by-step explanation:
Distribute the -2 and 3 into the parentheses. -6 + 6 cancels out so you are left with 3y on the right side. Add 2y to the right side leaving you with -2=5y. Divide both sides by -2