Answer:
7x + 2y = -22
Step-by-step explanation:
Standard form looks like Ax + By = C.
Start with Y = -7/2x-11. Better to write that as Y = (-7/2)x - 11 to emphasize that the coefficient of x is the fraction -7/2.
Move the (-7/2)x term to the left:
(7/2)x + y = -11
Multiply all terms by 2 to eliminate the fractions:
7x + 2y = -22 (answer)
Answer:
The boat is 5727.25ft far from the coast
Step-by-step explanation:
Refer the figure given.
We need to find how far is the boat from the coast = AB
Angle of elevation = 2°
The lighthouse on the coast is 200 feet tall, AC = 200 ft
We have
The boat is 5727.25ft far from the coast
= 1455
generate a few terms of the sequence using 
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using 
= 
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
= 
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
Since the unit rate is $1.93 per yard, you need to multiply the number of yards by 1.93. So 1.93 x 3 = 5.79. Next, you convert 5% to a decimal, which is 0.05. Now, multiply 5.79 by 0.05, which is about 0.29. Finally, add 0.29 to 5.79, giving you the answer of 6.08. Alice payed $6.08; D.
It was marked down 1/4 of the original price to $128. That means $128 is equal to 3/4 of the original price. So the original price would be 4/3 of $128. I get $170.67 (rounded to the nearest cent).
