Here are the original equations:
2x + 2y = 14
x + 2y = 11
We immediately note that these two equations form a system. So, we can use substitution to solve the second equation for x. To do this, all that needs to be done is to subtract 2y from both sides, to get x = 11 - 2y. Next, we substitute the derived expression for x into the first equation to get 2(11-2y) + 2y = 14. We can use the distribute property to get 22 - 4y + 2y = 14. Then, we can combine like terms to get 22 - 2y = 14. After that, we subtract 22 from both sides to get -2y = -8. Finally, we divide -2 from both sides to get y = 4.
Now that we have the value for y, we can substitute our derived value into the second equation, since it will be much faster. After doing this, we get x + 2(4) = 11. We can simplify the left side of the equation and subtract the product from both sides, which gives us x = 4. Therefore, the answer to your query is x = 4, y = 4. Hope this helps and happy Halloween!
15 5/8 divided by 5
First, we turn the 15 5/8 to a mixed number: 8 * 15 + 5 = 125/8
125/8 divided by 5/1 (which is equal to 5)
Next, we do Keep Change Flip.
Keep 125/8 the same, change the division to multiplication, and turn the 5/1 to 1/5.
1 * 125 = 125
8 * 5 = 40
Then, we get 125/40 = 3 5/40 BUT WAIT
We can reduce it once more! Divide 40 by 5
Each friend collected 3 1/8 bags of food.
Question 1
Simplify the following expression: (5x2 + 3x + 4) − (2x2 − 6x + 3). If
the final answer is written in the form Ax2 + Bx + C, what is the value
of B?
Solution:
5x^2 + 3x + 4 - 2x^2 + 6x - 3 = 3x^2 + 9x + 1
Then, B = 9
Question 2
Simplify: (3x2 − 2) + (2x2 − 6x + 3)
5x2 − 6x + 1
5x2 − 6x − 1
x2− 6x + 1
5x2 − 8x + 3
Solution:
3x^2 - 2 + 2x^2 - 6x + 3 = 5x^2 - 6x + 1
Question 3
A sports company conducted a road test of a new model of a geared bike.
The test rider cycled (3x - 2) miles on a flat road, (x2 - 5) miles
uphill, and (2x + 7) miles downhill. Which simplified expression is
equivalent to the total distance, in miles, for which the bike was
tested?
x2 - x
x2 + 5x
x2 − x + 14
x2 + 5x + 14
(3x - 2) + (x2 - 5) + (2x + 7) = 3x - 2 + x^2 - 5 +2x + 7 = x^2 + 5x
Question 4
Simplify: (4x − 6) − (5x + 1)
x + 7
−x + 7
x − 7
−x − 7
(4x − 6) − (5x + 1) = 4x - 6 - 5x - 1 = -x -7
Question 5
Simplify the following expression: (x + 6y) - (3x − 10y). If the final
answer is written in the form Ax + By, what is the value of A?
(x + 6y) - (3x − 10y) = x + 6y - 3x + 10y = -2x + 16y
A = -2
Question 6
Simplify: (3x − 5) + (3x + 6)
6x − 1
1
6x − 11
(3x − 5) + (3x + 6) = 3x - 5 + 3x + 6 = 6x + 1
<u><em>Answer:</em></u>
a = 3 ft
<u><em>Explanation:</em></u>
The relation between the legs and the hypotenuse of a right-angled triangle can be expressed using the Pythagorean theorem as follows:
<u>In the given triangle, we have:</u>
leg1 = 8 ft and hypotenuse = 
ft
<u>Substitute with the givens in the above equation to get the length of the second leg as follows:</u>
()² = (8)² + (second leg)²
73 = 64 + (second leg)²
(second leg)² = 9
either second leg = 
or second leg = 
as length cannot be negative
Hope this helps :)
Answer:
1.25.
Step-by-step explanation:
The common ratio r is 1/5 and the first term a1 = (1/5)^(1-1) = 1.
Sum to infinity = a1 / (1 - r)
= 1 / (1 - 1/5)
= 1 / 4/5
= 5/4
= 1.25 (answer)
