Answer:
Step-by-step explanation:
56. 6x = 132
x = 22
57. 2/3 = -8x
-24x = 2
x = -2/24= -1/12
58. 5/11x = 55
5x = 605
x = 121
59. 4/5 = 10/16x
4/5 = 5/8x
23 = 25x
23/25
60. 3 2/3x = 2/9
11/9x = 2/9
11x = 2
x = 2/11
61. 4 4/5x = 1 1/5
24/5x = 6/5
24x = 6
x = 6/24 = 1/4
A.
the Abbott and Baker Families
B.
the Abbott and Carson Families
C.
the Carson and Baker Families
D.
all three families would have to pay the same price
Answer:
c
Step-by-step explanation:
both of the familys have higher cost and have to stay longer
After solving systems of equations for each pair of families, the Abbott and Carson Families are the ones that fit the conditions allowing the largest possible nightly hotel cost.
Let's examine the vacation expenses for each family to determine which two families could have paid the same price per night at their hotel and per airline ticket for the largest possible nightly hotel cost. We must establish a system of equations to represent the total vacation expenses in terms of hotel cost per night (H) and airline ticket cost (A).
For the Abbott Family:
4H + 3A = $840
For the Baker Family:
9H + 2A = $1,130
For the Carson Family:
6H + 5A = $2,080
To determine which two families could have the same hotel and ticket costs, we should look for the two equations that can be true simultaneously for the highest values of H. For ease of calculation, we can eliminate one family at a time and solve the remaining pair of equations for H and A.
By trying different combinations, we can find that the Abbott and Carson Families fit the conditions allowing the largest possible nightly hotel cost. Here's the reasoning:
Hence, option B, the Abbott and Carson Families, is the right choice for the largest possible nightly hotel cost.
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Answer:A
Step-by-step explanation:
The dot means less than or equal to 2
Open dot means greater than 2
Find the distance, in km, the comet travelled.
Answer:
39,144,000 km
Step-by-step explanation:
Hi there!
Distance traveled = time * speed
Given speed: 233000 km/h
Given time: 7 days
It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.
There are 24 hours in 1 day.
So to convert days to hours simply multiply amount of days by 24
24 * 7 = 168
So the comet has traveled for 168 hours
Now we can find distance traveled
Once again distance traveled = time * speed
Given speed is 233000 km/h
Given time is 168 hours
Distance = 168 * 233000 = 39,144,000
So the comet has traveled for a total distance of 39,144,000 km
To express the repeating decimal 8.54545454545... as a rational number, we can use the concept of infinite geometric series. The rational number equivalent is 282/33.
To express the repeating decimal 8.54545454545… as a rational number, we can use the concept of infinite geometric series. Let x = 8.54545454545…, then multiplying x by 100 gives 100x = 854.54545454545…. Next, subtracting the original x equation from the 100x equation eliminates the repeating decimals, giving 99x = 846. Dividing both sides by 99 results in x = 846/99. Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3, gives the final answer: x = 282/33.
Learn more about Rational Numbers here:
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If you mean p/q, then this is how you do it:
Therefore your final answer is 94/11, where p is 94 and q is 11.
Answer:
Now we can calculate the p value with this probability:
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.
Step-by-step explanation:
Information provided
represent the complaints with the old dough
represent the complaints with the new dough
sample 1 selected
sample 2 selected
represent the proportion of complaints with the old dough
represent the proportion of complaints with the new dough
represent the pooled estimate of p
z would represent the statistic
represent the value
Hypothesis to test
We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statitsic is given by:
(1)
Where
Replacing the info provided we got:
Now we can calculate the p value with this probability:
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.