Answer:
Step 2: 4(2) + 4(3x)
Step-by-step explanation:
By definition, the area of a rectangle is given by:
Area = Length × Width
In this case, we know that:
Area = 8 + 12x
Width = 4
Therefore:
Step 1: 8 + 12x
Step 2: 4(2) + (4)(3x)
Step 3: 4(2 + 3x)
Therefore, the dimensions of the rectangle are 4 and 2 + 3x.
The mistake was made in STEP 2. Instead of 4(2) + 4(x2) it should be 4(2) + 4(3x). Which is the second option.
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.
Answer:
<u>⚪</u><u> </u><u>(</u><u>4</u><u> </u><u>•</u><u> </u><u>3</u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u>4</u><u> </u><u>•</u><u> </u><u>8</u><u>)</u>
Step-by-step explanation:
by distributing 4 in the bracket:
