Hi there!
PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)
Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1
PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.
Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers
ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Equation of the circle is (x + 5)² + (y - 5)² = 9
Step-by-step explanation:
- Step 1: Given center is (h, k) = (-5, 5) and radius is 3. Equation of a circle is given by (x - h)² + (y - k)² = r²
Equation is (x - -5)² + (y - 5)² = 3²
⇒ (x + 5)² + (y - 5)² = 9
Since you didn't give the actual equation, I can only help with the mean of each part.
Q1: The coefficient of x is called the slope. That is the number in front of the x.
Q2: The constant term is the y-intercept. That is the number at the end of the equation.
Answer:
10%
Step-by-step explanation:
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) = 
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.
