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padilas [110]
2 years ago
11

A carnival has two payment options. Plan A, you pay $10 admission plus $3 for each ride. Plan B, you pay a $20 admission plus $1

for each ride. Write an inequality that would express the situation where plan B is the best buy,
Mathematics
2 answers:
DanielleElmas [232]2 years ago
6 0

Answer:

x+20

Step-by-step explanation:

Let x represent the number of rides.

We have been given that a carnival has two payment options.

In Plan A, you pay $10 admission plus $3 for each ride. The total cost for x rides using plan A would be 3x+10.

In Plan B, you pay a $20 admission plus $1 for each ride.The total cost for x rides using plan B would be x+20.

Now we will show that plan B is best buy by showing that cost of x rides in plan B is less than plan A as:

x+20

Therefore, our required inequality would be x+20.

stiks02 [169]2 years ago
3 0
<span>Let x = # of rides

Plan A: 10 + 3x

Plan B: 20 + x

if x < 5 rides then plan A is better buy
if x = 5 both plans are the same
if x > 5 then plan B is the best buy

Prove:
x = 6 (rides)

plan A: </span>10 + 3x = 10 + 3(6) = 10+18 = $28
plan B: 20 + x = 20 + 6 = $26


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Jenna's heart rate is 60 beats per minute. If Jenna's heart beat 747,533 times, how much time has elapsed? Give your answer in d
olganol [36]

Answer:

Days- 9

Hours- 208

Minutes- 12,459

Step-by-step explanation:

For minutes,

747,533 ÷ 60 = 12,458.883 ≈ 12,459 minutes

For hours,

60 minutes to pass an hour so, 60 × 60 = 3600 minutes

747,533 ÷ 3600 = 207.648 ≈ 208 hours

For days,

1 day = 24 hours

1 hour = 3600 beats

24 × 3600 = 86400

747,533 ÷ 86400 = 8.652 ≈ 9 days

4 0
2 years ago
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In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′
emmasim [6.3K]

You did not attach any picture to solve this problem. We cannot calculate for the value of A’ and D’ without the correct graph. However, I think I found the correct graph (see attached), please attach it next time.

So we are given that the figure is dilated by a factor of, meaning that all of its end points are multiplied by 2. By this rule, all we have to do is to simply multiply the initial coordinates of A and D by 2 to get A’ and D’, that is:

A’ = (-1 * 2, -1 * 2) = (-2, -2)

<span>D’ = (2 * 2, -1 * 2) = (4, -2)</span>

3 0
2 years ago
Matt can buy and 8 ounce jar of salsa for $2.79 or a 15 ounce jar of salsa for $5.54 which jar has the best unit rate
sasho [114]

Answer:

8 ounce jar

Step-by-step explanation:

We divide the price by the number of ounces to find the unit rate or cost per one ounce.

2.79/8=0.34875

5.54/15=0.3693

The 8 ounce jar has the best unit rate with a lower cost per ounce.

5 0
2 years ago
Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the following data values: 560,
julsineya [31]

Answer:

z-score for value 560 = 0.6

z-score for value 650 = 1.5

z-score for value 500 = 0

z-score for value 450 = -0.5

z-score for value 300 = -2

Step-by-step explanation:

We are given a sample with a mean of 500 and a standard deviation of 100.

i.e., \mu = 500 and \sigma = 100

The z score distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where X represents the data values;

  • So, z score for value 560 is;

                 z score = \frac{560-500}{100} = 0.6

  • So, z score for value 650 is;

                 z score = \frac{650-500}{100} = 1.5

  • So, z score for value 500 is;

                 z score = \frac{500-500}{100} = 0

  • So, z score for value 450 is;

                 z score = \frac{450-500}{100} = -0.5

  • So, z score for value 300 is;

                 z score = \frac{300-500}{100} = -2

7 0
2 years ago
n his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes
N76 [4]
X=dimes    y=quarters

0.1x + 0.25y = 2.95
x+y = 16

from the second equation, x = 16 - y and thus 0.1 (16-y) +0.25y = 2.95 ==> y=9. Finally, x + 9 = 16 ==> x=7

7 dimes, 9 quarters
4 0
2 years ago
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