Answer:
(a)2(89x+84)
(b)
Step-by-step explanation:
The dimensions of the larger rectangular field are:
- Length=5x + 12; Width
= 9x + 14.
The dimensions of the smaller rectangular soccer field are:
(a)Area of the part of the field that is outside the soccer field
=Area of the larger rectangular field - Area of the Soccer Field
=(5x+12)(9x+14)-5x(9x)
=(5x)(9x)+70x+108x+168-5x(9x)
=178x+168
=2(89x+84)
(b)Radius of the Semicircular Fountain =2x
From Part (a),
Area of the larger rectangular field - Area of the Soccer Field=178x+168
Area of the Semicircular Fountain =
Area of the Field that does not include the soccer field or the fountain.
=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain
Answer:
y=¾(4x-20)
y=3x-15
Final answer= y - 3(x+12)
=y - 3x-36
=3x-15-3x-36
= -51
Answer:
Hence, the total cost of mailing 10 ounces is:
$ 2.52
Step-by-step explanation:
If postage costs $.54 for the first ounce and $.22 for the each additional ounce.
i.e. cost of first ounce=$ 0.54.
Now let x denote the number of ounces after the first ounce,
Hence, the cost of x ounces=$ (0.22×x)=$ 0.22 x
Hence, the cost of mailing (x+1) ounces is: $ (0.54+0.22 x)
Now, we have to find the cost of mailing a 10- ounce envelope.
i.e. after the first ounce we need 9 more ounces.
Hence, the total cost of mailing is calculated as:
Hence, cost of mailing 10 ounces is:
$ 2.52
Answer:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Step-by-step explanation:
Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (
) after a certain amount of years (t) is given by the following formula:
Where:
- Initial amount of jobs in pipe fitting industry, measured in thousands.
- Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)
If 
, 
and 
, then:
The percent change in jobs from pipe fitting industry is calculated as follows:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
It is 1/6 because you only have 6 beads in total meaning that you have a one out of 6 chance of pulling out the yellow bead
