Answer:
Length = 12 feet
Width = 30 feet
Step-by-step explanation:
Let l be the length of the garden and let w be the width:
We have system of equations
2w + l = 54
l = 2w + 6
We substitute 2w + 6 for l
2w + 2w + 6 = 54
4w + 6 = 54
4w = 54 - 6
4w = 48
w = 48/4
w = 12 feet
Width(w) = 12 feet
We find the Length
l = 2w + 6
l = 2(12) + 6
l = 24 + 6
I = 30 feet
Answer:
GCF = 4xy⁷z
Step-by-step explanation:
Do Prime Factorizations for each term and select only those terms common to each:
28xy⁹z = 2·2·7·x·y·y·y·y·y·y·y·y·y·z
32x²y⁷z = 2·2·2·2·2·x·x·y·y·y·y·y·y·y·z
GCF = 2·2·x·y·y·y·y·y·y·y·z
GCF = 4xy⁷z

Substitute
, so that
, and

which is separable as

Integrate both sides with respect to
. For the integral on the left, first split into partial fractions:



Solve for
:






Replace
and solve for
:


Now use the given initial condition to solve for
:

so that the particular solution is

Answer:
Step-by-step explanation:
ok first you make a equation which is 2x+1+5x-14
then you combine like terms so 2x+5x= 7x and -14+1=-13
so now the equation is 7x-13
but i need to know the full length of AC to finish it
Answer
Step-by-step explanation:
Let x be the fasteners
95% of x passed, and 5% of x failed
20% of the 5% which failed are defective, remaining the 80% of the failed 5%.
Now 40% of this 80% of the 5% which failed are scrapped, meaning only the remaining 60% passed second inspection.
Thus
a). The proportion ;
60% of 80% of 5% of x
mathematically
= 60/100 × 80/100 × 5/100
= 0.024 or 2.4%
b) initially 95% passed and later on 2.4% pass again. Therefore total that passed = 95%+2.4%=97.4%
c) probability that it passed on first inspection is 95/100
Percentage that went through recrimping = 80% of 5% = 80/100 × 5/100 = 1/25 or 0.04 or 4%
Thus probability of passing and not going through recrimping
= 1 - (1/25) = 0.96 or 96%