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!
Area of a triangle = 1/2 x base x height
a = 58.5
height = 9
58.5 = 1/2 x base x 9
58.5 = 4.5 x base
base = 13
The equation to find the volume of a cylinder is V = pi•r^2•h.
The radius is half of the diameter. Since Mr. James' beakers have a diameter of 4, their radius would be 2. 2 squared is 4.
Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.
Answer:
The amount to be pay for coat is <u>$128.70</u>.
Step-by-step explanation:
Given:
The sales tax rate is 7.25% in California.
The cost for a coat in Los angeles is $120.00.
Now, to find amount to be paid.
Sales tax = 7.25%.
Cost = $120.00.
So, amount to be paid = $120 + 7.25% of $120.00.
Therefore, the amount to be pay for coat is $128.70.
Answer:
The friend's claim is not correct
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)
Example
A given line has a slope of 
---> (is less than 1)
the slope of the line perpendicular to the given line is equal to
substitute
so
the perpendicular line don't have a positive slope
therefore
The friend's claim is not correct
