Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

Applying distributive property:

Grouping similar terms:

Applying common factor
:
This is the simplified expression
<u>Part B:</u>
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if
:

Hence, Mrs. Jones baked 121 cupcakes last week
Answer:
K = 3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
k−9=5(k−3)
k+−9=(5)(k)+(5)(−3)(Distribute)
k+−9=5k+−15
k−9=5k−15
Step 2: Subtract 5k from both sides.
k−9−5k=5k−15−5k
−4k−9=−15
Step 3: Add 9 to both sides.
−4k−9+9=−15+9
−4k=−6
Step 4: Divide both sides by -4.
-4k/-4 = -6/-4
K = 3/2
Answer:
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Answer:
82.4 cm
Step-by-step explanation:
The computation of the height is given below:
As we know that each right triangle contains the top angle of 20 degrees
So, the right angle & the bottom corner angle equivalent to
= 180 - 90 - 20
= 70 degrees
Now the height is
tangent = opposite leg ÷ adjacent leg
tan (70°) = height ÷ 30 cm
height = 30 cm × tan (70°)
= 82.4 cm