Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 
x + 4 ← is i slope- intercept form
with slope m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 2 + c ⇒ c = 5 + 2 = 7
y = - x + 7 ← equation of parallel line
Answer:
The price of an adult ticket it $5
Step-by-step explanation:
To solve this, we would find the system of equations. We would set up two equations that will represent the situation.
Let c = price per children ticket
Let a = price per adult ticket
Santo:
5c + 1a = 16.25
Hulda:
4c + 3a = 24
5c + 1a = 16.25 -> a = 16.25 - 5c
4c + 3a = 24
4c + 3(16.25 - 5c) = 24
4c + 48.75 - 15c = 24
-11c + 48.75 = 24
-48.75 -48.75
-11c = -24.75
/-11 /-11
c = 2.25
5c + a = 16.25
5(2.25) + a = 16.25
11.25 + a = 16.25
-11.25 -11.25
a = 5
a = $5 , c = $2.25
Answer:
30 = 9x + 7
Step-by-step explanation:
The total weight of the bundle = 30 pounds
The weight of the bricks = x pounds
But he carried 9 bricks = 9x pounds
He also carried additional 7 pounds of concrete block.
An equation to show the total weight he carried is
30 pounds = (9x + 7) pounds
Since 9x represents the total weight of the bricks he carried
7 represents the weight of the concrete block
And 30 pounds represents the total weight of everything he carried.
Answer:
Randall: 44, Amy: 35
Step-by-step explanation:
Four years ago, their age added up to 71. Since four years have passed and they've each grown four years older since then, their ages added up together is 79. Here is the equation for Amy: x + (x + 9) = 79. We can simplify to get 35. Now we add 9 to 35 to get Randall's age. So, Amy's age is 35 and Randall's age is 44, and 35 + 44 = 79.
Answer:
side length of the square = 10 cm
Explanation:The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm
This means that the length of the side of the square is also 10 cm
Hope this helps :)
