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Maru [420]
3 years ago
5

1. The state of Wyoming is approximately a

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

4.86 people/sq.miles

Step-by-step explanation:

the area of the state of Wyoming =

360 × 280 = 100,800 sq. miles

so, the population density =

490,408 ÷ 100,800

= 4.86 people/sq.miles

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At one gym, there is a $12 start-up fee, and after that each month at the gym costs $20. At another gym, it costs $4 to startup,
mart [117]

Answer:

In 4 months the cost of both gyms will be the same.

Step-by-step explanation:

At first we need to model the function to calculate the cost of the 2 gyms.

Slope-intercept equation of linear function

f(x)=mx+b

where

m\rightarrow slope of line

b\rightarrow y-intercept

Let linear function to calculate total cost of gym be:

c(n)=mn+b

where

c\rightarrow total cost of gym

m\rightarrow cost per month (slope)

n\rightarrow number of months

b\rightarrow start-up fee (y-intercept)

For Gym 1

m=20 , b=12

c(n)=20n+12

For Gym 2

m=22 , b=4

c(n)=22n+4

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months (n)

20n+12=22n+4

\\\textrm{Subtracting 22n from both sides}\\20n-22n+12=22n-22n+4\\-2n+12=4\\\textrm{Subtracting 12 from both sides}\\-2n+12-12=4-12\\-2n=-8\\\textrm{Dividing both sides by -2}\\\frac{-2}{-2}n=\frac{-8}{-2}\\n=4\textrm{ months}

So,

In 4 months the cost of both gyms will be the same.

5 0
4 years ago
The staff of a school cafeteria makes 86 sandwiches for the students trip. if n represents the number of sandwiches that were ea
Nesterboy [21]

Answer:

c

Step-by-step explanation:

You had 86 then you eat n. You are subtracting.

6 0
3 years ago
The linear relationship represented by the table has an initial value of 88 and a rate of change -6. Complete the table.
Nimfa-mama [501]
(2,88)
(6,64)
(9,46)
(15,10)
first find y=mx+b
88=-6(2)+b
b=100
y=-6x+100
then plug for y and solve for x or vise versa.
Hopes this loves


8 0
3 years ago
How do u work this out and what's the answer
I am Lyosha [343]
1) you would need to turn both fractions so they have a common denominator, that would be 2 2/4 and 3/4
2) then subtract : 2 2/4 - 3/4, and you would subtract numerators and the whole number, but you keep the denominator the same. However, you cannot subtract 2 and 3 in this case, so you need to change 2 2/4 to 1 5/4 (they are still equivalent)
3) 1 5/4 - 3/4 = 1 2/4, which simplified version is 1 1/2
Therefore, the answer is 1 and 1/2
6 0
3 years ago
Kevin cuts four pieces of wood into fourths. How many fourths does he have?
NikAS [45]

Answer:

16/4

Step-by-step explanation:

BRAINLIEST?!

6 0
3 years ago
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