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Aleks04 [339]
3 years ago
5

You'd like to see how many baseball and soccer games you can attend this spring. Travel

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

x = 7

y = 1

Step-by-step explanation:

Let's assign the baseball to x and soccer to y. If each baseball game takes 2 hours and each soccer game takes 1 hour and we don't want to spend more than 15 hours we get the equation:

2x + y = 15

We have one equation now and we can get the second one from the number of games. We know that we want to attend 8 games therefore the number of baseball games plus the number of soccer games must be equal so we can use the equation:

x + y = 8

Now that we have our two equations we can use elimination to get x and y.

2x + y = 15

x + y = 8

isolate one of the variables from either equation. I chose to isolate x from the second equation givnig me:

x = 8 - y

now we can plug x back into the first equation to solve for y.

2x + y = 15

2(8 - y) + y = 15

16 - 2y + y = 15

-y = -1

y = 1

now that we have y we can solve for x by pluging it back into one of the origoriginal equations.

x = 8 - y

x = 8 - 1

x = 7

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Answer:

6 dozen

Step-by-step explanation:

8 0
3 years ago
Jaffrey was offered a job at $950 per month with a $22 increase every month for the first year. How much money can he make in th
iogann1982 [59]

Answer:

Jaffrey will end up making $1214 in the first year

Step-by-step explanation:

950 + 12(22) = ?

first lets find out what 12 * 22 =?

12 * 22 = 264

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264 + 950 = 1214

5 0
3 years ago
There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At
kumpel [21]

Answer:

The required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

S(x)=1.5x\ \ \ 0\leq x< 4

At  4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

From mid night to 4:00 a.m the depth of snow will be 1.5×4=6 inches.

If we want to calculate the total depth of snow from midnight to 7:00 am we need to add 6 inches in 3(x-4) where 4≤x<7

Therefore,

S(x)=3(x-4)+6\ \ \ 4\leq x

7:00 a.m. to 9:00 a.m., snow was  falling at a constant rate of 2 inches per hour.

From mid night to 7:00 a.m the depth of snow will be 3(7-4)+6=15 inches.

If we want to calculate the total depth of snow from midnight to 9:00 am we need to add 15 inches in 2(x-7) where 7≤x≤9

S(x)=2(x-7)+15\ \ \ 7\leq x\leq 9

Therefore, the required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

8 0
3 years ago
20 points!!!!! The table represents a linear function
Darya [45]
I believe the answer is 5. I multiplied 5 to -4 and that’s -20 and I’m guessing since slope-intercept form is y=Mx+b I’m thinking b=4 and the slope being 5 matches the output. -16=5(-4)+4
4 0
3 years ago
A square tile has an area of 324 square inches. what is the perimeter of the square tile in inches?
kotykmax [81]

The formula of an area of a square: A=a^2


a - side


We have: A=324\ in^2


substitute:


a^2=324\to a=\sqrt{324} \to a=18\ in


The fromula of a perimeter of a square is: P=4a


substitute:


P=4\cdot18=72\ in^2

7 0
3 years ago
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