Answer:
Step-by-step explanation:
Let x = the number of all the species of birds sighted in the park
“300 species of birds that migrate. This accounts for 2/7 of all the species of birds sighted in the park”
the above sentence means “(2/7)x = 300”
now we can solve it :
(2/7)x = 300
⇔ 2x = 7×300
⇔ 2x = 2100
⇔ x = 2100/2
⇔ x = 1050
Area = 4*pi*r^2
Step-by-step explanation:
You can use this step to find the answer
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Answer:
plan 1: y=3x+50
plan 2: y=10x
Step-by-step explanation:
for plan 1, since she would have to pay $3 per visit and x is the visits per month, than you would calculate the total cost per visits by 3x. and since there is a starting fee of $50, the total goes up from 50 and never below, therefore 50 is the y-intercept
plan 2, its the same thing as plan 1 but instead of $3 per visit it is $10 and there is no starting fee, so no y-intercept
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Answer:
b. y = (x - 5)² - 4
Step-by-step explanation:
Here, we take "standard form" to mean "vertex form."
In the US, "standard form" would be ...
y = x² -10x +21
Vertex form is ...
y = (x -5)² -4 . . . . matches B
Answer:
There are 13 motorcycles and 22 cars
Step-by-step explanation:
Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...
x + y = 35 (there are a total of 35 vehicles)
2x + 4y = 114 (the total number of tires)
Solve the first equation for either variable...
y = 35 - x
Now substitute that value into the other equation and solve...
2x + 4(35 - x) = 114 (y becomes 35 - x)
Now solve...
2x + 140 - 4x = 114
-2x = -26
x = 13 (there are 13 motorcycles)
Now plug that value into either original equation to solve for y...
13 + y = 35
y = 22 (there are 22 cars(
