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alina1380 [7]
3 years ago
10

At a go-kart park, you can pay $6 for admission and $4 for each ride, or you can buy an all-day pass for $25, which includes adm

ission and unlimited rides. How many times would you have to ride the go-karts so that buying an all-day pass is a better value than paying for each ride?
Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0
$45 value than paying fir each ride!
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Find the value of y in the solution to the system of equations shown.<br> y= 12x+7<br> y=-6x+25
padilas [110]

Answer:  The required value of y is 19.

Step-by-step explanation:  We are given to find the value of y in the solution to the following system of equations :

y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Comparing equations (i) and (ii), we get

12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.

From equation (i), we get

y=12\times1+7=12+7=19.

Thus, the required value of y is 19.

4 0
3 years ago
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Donaldo is trying to figure out the recursive form of the following sequence to understand some of the expenses reported in his
madam [21]

Answer:

a_n=a_{n-1}-9

Step-by-step explanation:

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3 years ago
suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000 ​
Romashka [77]

Answer:

$19200

Step-by-step explanation:

20,000*0.96=19200

4 0
3 years ago
Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point (15,0):

15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0

So, (15, 0) satisfies all the inequalities

For point (7.5,7.5):

7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in s\geq 15-t

7.5\geq 15-0=15 which is false

So, (s,t)\neq (7.5,0)

7 0
3 years ago
A pitcher holds 3 liters of lemonade. If the contents of the pitcher are equally divided among 8 people, how much lemonade will
igomit [66]

Answer:

0.375 litres

Step-by-step explanation:

Given that:

Total amount of lemonade held by pitcher = 3 litres

Number of people in which lemonade is to be given equally = 8

Amount of Lemonade received by each person will be:

Total amount of lemonade / number of persons

3 litres / 8

= 0.375 litres

Each person receives 0.375 litres of lemonade

8 0
2 years ago
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