The answer is nine pounds of grapes.
X=0
Y=9
X=0
Y=9
The zoo needed to raise $25,000. Zoo officials planned a dinner/dance event and charged $300 per couple. What is the fewest numb
1 answer:
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So, if Dylan has x dollars and he bought 3 tickets with them, the tickets were priced at k dollars per ticket. If he bought 5 tickets with the x dollars and saved 12 total dollars, it would be the same as buying the tickets with x-12 dollars, so we have:
So, with this we have:
If we're looking for a number that satisfies these constraints, we can work with modular arithmetic. We have:
So, we can use the chinese remainder theorem here. So, we clearly have x=3k, which means:
So, since we have x=3k, we also have x=3(5j+4)=15j+12.
So, clearly j=0 won't work so we should have j=1. That means our money per ticket for the five tickets is:
And our money per three tickets is:
This is easily verifiable. Three tickets needs 27 dollars and 5 tickets needs 15 dollars, which is 12 less than 27 dollars. So we have our money per three dollar ticket at 6 more than money per five dollar.
Answer:
AB parallel to CD because both lines have a slope of
of 4/3
Step-by-step explanation:
The question is not complete, there is no graph.
A graph for the question is attached below.
From the image attached below, line 1 passes through points A = (-3, -3) and point B = (0, 1) while line 2 passes through point C = (0, -5) and point D = (3, -1).
Two parallel are said to be parallel if the have the same slope. The slope of a line passing through points:
Line 1 passes through points A = (-3, -3) and point B = (0, 1), the slope of line 1 is:
Line 2 passes through point C = (0, -5) and point D = (3, -1). the slope of line 2 is:
Therefore AB parallel to CD because both lines have a slope of
of 4/3
Answer:
When new, the scooter cost $900
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we have
This is a exponential function of the form
where
A(t) ----> represent the value of a motor scooter
t ----> the number of years after it was purchased
a ---> represent the initial value or y-intercept
b is the base of the exponential function
r is the percent rate of change
b=(1+r)
In this problem we have
The base b is less than 1
That means ----> is a exponential decay function (is a decreasing function)
Find the percent rate of change
Convert to percentage (multiply by 100)
---> negative means is a decreasing function
<u><em>Verify each statements</em></u>
<em>case A</em>) When new, the scooter cost $765.
The statement is false
Because the original value of the scooter was $900
case B) When new, the scooter cost $900
The statement is true (see the explanation)
case C) The scooter’s value is decreasing at a rate of 85% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
case D) The scooter’s value is decreasing at a rate of 0.15% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
