Answer:
Dimensions of original room = 12 x 12 feet.
Explanation:
Let the size of old square room be a x a.
New dimension = ( a+4 ) x ( a + 6 )
We have area of the new room will be 144 square feet greater than the area of the original room.
So, ( a+4 ) x ( a + 6 ) = a x a + 144
a²+10a+24= a²+144
10a = 120
a = 12 feet.
Dimensions of original room = 12 x 12 feet.
Answer:
Step-by-step explanation:
37 is prime, so it's not possible to reduce/simplify 37/80. 37/80 is the ratio of two integers. We could, of course, use a calculator to find the decimal equivalent: 0.4625, but this is not more accurate than the ratio 37/80.
Answer: 15 boys
Explanation: ratio 5:7
5 + 7 = 12
Number of boys = 5/12 × 36
Answer:
A. 
B.
cupcakes
Step-by-step explanation:
Part A:
The simplified form of the expression is




Part B:
Put
in the above simplified equation to get the number of cupcakes Mrs. Jones bake last week



cupcakes
If

is conservative, then there is a scalar function

such that

Setting the first components equal to one another, we can integrate both sides to find

Differentiating both sides with respect to

gives



so that

By the fundamental theorem of calculus, we have that