Answer C
Step-by-step explanation:
If u multiply the first equation by -4, u get -2x - y = -20
and when u add the 2 equations..
-2x - y = -20
2x + 3/8y = 5
-----------------
0 - 5/8y = -15.....u notice that the x terms r eliminated.
Here's another one.
See the attached picture.
The Volume of the Swimming pool is : 1161 cubic feet
The water in the 1 cubic yard = 202 gallons
Let us first change 1 cubic yard into 1 cubic feet
We know 1 yard = 3 foot
1 cubic yard = 3*3*3 cubic feet
1 cubic yard = 9 cubic feet .
Water in the 9 cubic feet = 202 gallons
water in the 1 cubic feet = 202/9 = 22.44 gallons
Let us suppose there is x gallon water in the swimming pool
so volume of the swimming pool in cubic feet * volume of the water in 1 cubic feet = x gallon
1161 * 22.44 = x
26058 gallons = x
Answer : 26058 gallons of water is required to fill the swimming pool .
In order to solve for a nth term in an arithmetic sequence, we use the formula written as:
an = a1 + (n-1)d
where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given values above.
<span>a1 = 38 and a17 = -74
</span>
an = a1 + (n-1)d
-74 = 38 + (17-1)d
d = -7
The 27th term is calculated as follows:
a27 = a1 + (n-1)d
a27= 38 + (27-1)(-7)
a27 = -144 -----------> OPTION D
