General Idea:
(i) Assign variable for the unknown that we need to find
(ii) Sketch a diagram to help us visualize the problem
(iii) Write the mathematical equation representing the description given.
(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE
Applying the concept:
Given: x represents the length of the pen and y represents the area of the doghouse
<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

------
<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

------
<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

------
<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Conclusion:
The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

The answer is 14 there just adding an extra letter each time twister has 7 letters
The volume of a sphere is found from the equation V=4/3πr
r is the radius.
If the radius is 45 cm and pi is about 3.14, you can rewrite and equation as V=4/3(3.14)(45)
Then just solve by multiplying all the terms!
4/3(3.14) = 4.19
4.19(45) = 188.55
So the volume of the ball is 188.55 cm cubed.
Answer:
0
Step-by-step explanation:
Each expression is a way to write the sum ...
3 + 5 + 7 + 9
That sum in each case is 24, so the difference is 24-24 = 0.
Answer:
24
Step-by-step explanation:
There are 4 possibilities for the first card.
After that, there are 3 possibilities for the second card.
Finally, there are 2 possibilities for the third card.
The total number of permutations is 4×3×2 = 24.
Here's the list (in alphabetical order):
ARS
ART
ASR
AST
ATR
ATS
RAS
RAT
RSA
RST
RTA
RTS
SAR
SAT
SRA
SRT
STA
STR
TAR
TAS
TRA
TRS
TSA
TSR