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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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The highest elevation in the United States is Mt. McKinley in Alaska, which measures 6,194 meters above sea
Whitepunk [10]

Answer:

the answer is D 6,280

Step-by-step explanation:

Since it says difference you subtract, 86 is below sea level so it'd be -86

the equation would be 6,194 - (-86)

6,194+ 86 = 6,280

3 0
3 years ago
X+5+x11=10 <br> Solve for X and show the work please!
kenny6666 [7]

Answer:

x=5/12

Step-by-step explanation:

Simplify left side by adding 11x+x

12x+5=10

Get x alone on left side by subtracting 5 on both sides

12x=5

Get X alone by dividing both sides by 12

x=5/12

6 0
4 years ago
Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

7 0
3 years ago
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's
morpeh [17]
The percent error is -2.1352% of Jocelyn's estimate. May I have Brainless
8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=6%20%5Ctimes%20x%20%3D%20%20-%2024" id="TexFormula1" title="6 \times x = - 24" alt="6 \times
Finger [1]
The missing number is 4
8 0
4 years ago
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