Which decimal number is equivalent to 6/25?
A.0.6
B.0.12
C.0.06
D.0.24
Answers
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Four times a number, x, plus five times a number, y, equals 79. Ten times x minus 5 times y equals 5. Find the numbers by setting up a system of linear equations and solving the system using the elimination method.a) x = 7, y = 9 b) x = 6, y = 11 c) x = 8, y = 10 d) x = -10, y = 7
Answers
Answer: $69811
Step-by-step explanation:
Given : A survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants.
One of these surveys estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. (1)
We know that the confidence interval is given by :-
Point estimate of mean ± Margin of error
From (1) , we have
Point estimate for mean -Margin of error = $69,702 (2)
Point estimate for mean +Margin of error = $69,920 (3)
Add (2) and (3), we get
2 (Point estimate for mean) = $139622
Divide both sides by 2, we get
Point estimate for mean=$ 69811
Therefore , the point estimate for mean U.S. household income. = $ 69811
Final answer:
The point estimate for mean U.S. household income is $69,811.
Explanation:
The given information states that a survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years. This survey estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. To find the point estimate for mean U.S. household income, we can simply take the average of the lower and upper bounds of the confidence interval:
Point estimate = (lower bound + upper bound) / 2
Substituting the given values, we get:
Point estimate = ($69,702 + $69,920) / 2 = $69,811
Learn more about Mean household income here:
#SPJ11
Answers
First, to start solving this problem, we will have to add the whole numbers first. The whole numbers are the...whole numbers in front of the fraction. In this case, the whole numbers would be 2, 5, and 8. So, we have to add those three numbers up (2 + 5 + 8) to get the answer which is 15.
Second, now we have to find the least common denominator (LCD) of the three denominators. The denominators are the bottom number of the fraction. This case the denominators would be 4, 4, and 2.To find the LCD, we will have to list the multiples of each denominator and find the first common one.
Multiples of 4: 4
Multiples of 4: 4
Multiples of 2: 2, 4
Since 4 appears in the multiples of each denominator, 4 is our LCD.
Third, since only one fraction needs their denominator changed (the other two fractions already carry the denominator of 4), we have to multiple each number by whatever gets us 4. Remember, whatever you do to the bottom, do to the top.
Fourth, since all of our denominators are the same, we can now combine our numerators (join the denominators) and add them all up.
Fifth, we now need to convert 6/4 into a mixed fraction. To find the mixed fraction form of 6/4, we will need to divide the denominator (4) by the numerator (6) and then write any remainder above the denominator.
Mixed fraction:
Sixth, we can simplify 2/4 down some more. To do so, we need to find the greatest common factor of the numerator and denominator, then divide the GCF by them. To find the GCF, we list all of the factors of them and find the first common one.
Factors of 2: 1, 2
Factors of 4: 1, 2, 4
The GCF is 4.
Seventh, we can now divide both our numerator and denominator by our recently found GCF which was 2.
Answer in fraction form:
Answer in decimal form:
$2,000 plus a $200 bonus for each car he or she sells. At B, each salesperson is paid a fixed monthly amount of $2,500 but
does not receive a bonus for each car he or she sells. In which setting will a member of the sales staff be more likely to
work harder? Why is this important?
Answers
They would work harder at A because if they sell 3 cars they would get paid more than if they worked at B
Answers
6. 63/100
7. 75/100 = 3/4
8. 91/100
9. 18/100 = 9/50
10. 3/100
11. 25/100 = 1/4
12. 5/100 = 1/20
13. 16/100 = 4/25
14. 1/100
15. 79/100
16. 40/100 or 4/10 = 2/5
17. 99/100
18. 30/100 or 3/10 = 3/10
19. 15/100 = 3/20
20. 84/100 = 21/25
I hope you find this answer the most helpful! :)
Answers
8 pints = 1 gallon.
1 pint = 1/8 gallon
12 pints = 12*(1/8)
12 pints = (12/8) gallons
= 3/2 = 1.5 gallons.
Since the bucket is 5 gallon capacity, It can hold:
5 - 1.5
= 3.5 gallons more.
But 1 gallon is = 4 quarts.
3.5 gallons = 3.5 * 4 = 14 quarts more.
Answers
Answer:
345
Step-by-step explanation:
To find out how many cakes the bakery can make, you'll need to convert the amount of milk they have into cups and then divide by the amount of milk needed to make one cake.
First, let's convert the 72 half-gallons of milk into cups:
1 half-gallon = 8 cups (since 1 cup is 1/8 of a half-gallon)
So, 72 half-gallons = 72 x 8 cups = 576 cups of milk.
Now, you mentioned that it takes 1 2/3 cups of milk to make a cake.
Let's convert this mixed number into an improper fraction: 1 2/3 = (3 x 1 + 2)/3 = 5/3 cups of milk for one cake.
Now, we can find out how many cakes the bakery can make by dividing the total cups of milk by the amount needed for one cake: 576 cups of milk ÷ (5/3) cups per cake = 576 cups ÷ (5/3) ≈ 345.6 cakes.
Since you can't make a fraction of a cake, the bakery can make approximately 345 cakes with the milk they have.