Answer:
a) 395.725
b) 378.75
c) 8.8
Step-by-step explanation:
a) S(8.5) = 11.25(8.5) + 300 = 395.625
b) if she worked 47 hrs, that means there were 7 overtime, h=7 and we have to find S(7).
S(7) = 11.25(7) + 300 = 378.75
c) her salary was 398.61, that means S(h) = 398.61 and we have to find h.
398.61 = 11.25(h) + 300
98.61 = 11.25(h)
h = 98.61 / 11.25
h= 8.8
Answer:
2nd term = 11
5th term = 74
Step-by-step explanation:
3n² - 1
n = 2 , 2nd term = 3*2² - 1
= 3*4 -1
= 12 - 1
= 11
n= 5 , 5th term = 3*5² - 1
= 3*25 - 1
= 75 - 1
= 74
Answer: 12 blue marbles
Step-by-step explanation: Set up a proportion.
4/5 = x/15
Solve for x, the number of blue marbles. Cross multiply. You will get 60 = 5x
Divide by 5 on each side.
x = 12
There are 12 blue marbles.
C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5
Answer:
Base=8 feet
Height=17 feet
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Using quadratic formula
x= -b +or- √b^2 - 4ac / 2a
= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)
= 7 +or- √49 - (-1632) / 6
= 7 +or- √49+1632) / 6
= 7 +or- √1681 / 6
=7 +or- 41 /6
x= 7+41 / 6 or 7-41 / 6
=48/6 or -34/6
=8 or -17/3
Answer:
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Base of the boat can't be a negative value
Therefore,
Base = x = 8 feet
Height= 3x-7
=3(8)-7
=24-7
=17 feet
