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deff fn [24]
3 years ago
7

Last week Alice spent $18.25 to bowl 5 games. This week she spent $21.90 to bowl 6 games. Alice owns her bowling balls and shoes

, so she only has to pay for
each game that she bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality (unit rate) to bowl one game?
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Answer:

Answer

5.0/5

23

Let's find the unit rate stemming from $18 for 4 games:

$18

-------------  =  $4.50/game

4 games

Let's do the same for $27 for 6 games:

$27

------- = $4.50/game (same as before)

 6 g

Thus, the const. of prop. is $4.50/game, and the cost function is

C(x) = ($4.50/game)x, where x is the # of games played.

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Write an equation in point-slope form of the line that passes through the point 4,-1and has slope of -5
Basile [38]

Answer:

y=-5+19

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5. So you can right away fill in the equation for a line somewhat to read:

y=-5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-1). When x of the line is 4, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-1).

So, why not plug in for x the number 4 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-1). y=mx+b or -1=-5 × 4+b, or solving for b: b=-1-(-5)(4). b=19.

6 0
2 years ago
Which figure is missing in the pattern?
cricket20 [7]

Answer:

B

Step-by-step explanation:

The pattern is square numbers so

1, 4, 9, 16, 25

8 0
3 years ago
The sum of a number and 6 ad a mathematical expression
Gennadij [26K]
X+6=y thats the answer i got
7 0
3 years ago
paco has 75 minutes before he needs to get ready for baseball practic.he cleans his room for 40 minutes and reads and reads for
fomenos
By the way this problem is worded, he spends 75 minutes reading and cleaning, but there seems to be not enough information because the way it is worded, it means he has 75 minutes until he needs to GET READY, not play in the actual game. (40 + 35 = 75).
3 0
2 years ago
-5t^2+10t+22 does the ball reach a height of 35m
Alika [10]

Answer:

Step-by-step explanation:

35=-5t²+10t+22

5t²-10t+13=0

disc =b²-4ac=(-10)²-4×5×13=100-260=-160<0

t is imaginary.

So ball never reaches a height of 35 m

3 0
3 years ago
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