3x + 5y = 29 first equation
y = -4x - 1 second equation
substitute the second equation to the first equation;
3x + 5(-4x - 1) = 29
-17x - 5 = 29
solve for x;
-17x - 5 = 29
-17x = 34
x = -2
substitute x = -2 into the second equation to find y;
y = -4x - 1
y = -4(-2) - 1
y = 8 - 1
y = 7
so;
x = -2, y = 7
hope this helps, God bless!
The first series is an arithmetic sequence with a common difference 2, for the second series is an arithmetic sequence with a common difference 1.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
For the first sequence:
2, 4, 6, 8, 10
The above sequence represents the arithmetic sequence
The common difference = 4 -2 = 8 - 6 = 2
For the second series:
1, 2, 3, 4, 5
The above sequence represents the arithmetic sequence
The common difference = 2 -1 = 4 - 3 = 1
Thus, the first series is an arithmetic sequence with a common difference 2, for the second series is an arithmetic sequence with a common difference 1.
Learn more about the sequence here:
brainly.com/question/21961097
Answer:
$5.88 Divided by 12 = $0.49
$10.20 Divided by 20 = $0.51
So Turbo Taste costs $0.02 more.
I hope this helped.
There is a very simple way of dealing with percentages.
"increase" means add
"decrease/discount/reduce" means subtract
Now, we know that the original price is 100%.
100% = 1 (like 50% = 0.5)
So if an object's price is x and it is 20% off, we get:
100%x - 20%x
Taking x common,
x(100% - 20%)
= 0.8x
Therefore, if we fist add/subtract the percentages we can multiply directly with the original to get the answer. This is as follows:
5] Increase 101 by 16%
1 + 0.16 = 1.16
So the answer is:
101 * 1.16
= 117.16
6] Decrease 36 by 21%
1 - 0.21 = 0.79
The answer is:
36 * 0.79
= 28.44
7] Let original price be x, we know it is 35% off
1 - 0.35
= 0.65
0.65x = 13
x = 20
Answer:
36√3 + 144
Step-by-step explanation:
Given that,
base of the pyramid is an equilateral triangle with sides = 12
Formula to calculate total surface area of pyramid
<h3>
[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>
Base Area
1/2 (height) (base)
1/2 (√12²-6²)(12)
6(6√3)
36√3
perimeter of base
sum of all sides = 12 + 12+ 12
= 36
slant height = √10²-6²
= 8
put all these values in the formula above
36√3 + 1/2(36)(8)
36√3 + 144
Total area for the pyramid with the equilateral base =
36√3 + 144
