Answer:
Deborah is 31; Sarah is 27.
Step-by-step explanation:
Question:
"Deborah is x years old and Sarah is why is the sum of their ages is 58 if Deborah is 4 years older than Sarah find the ages of both women."
"sorry it is y years old."
Solution:
Deborah's age = x
Sarah's age = y
The sum of their ages is 58
x + y = 58
"Deborah is 4 years older than Sarah"
x = y + 4
We have a system of two equations.
x + y = 58
x = y + 4
The second equation is already solved for x, so we can use the substitution method.
Rewrite the first equation, and then rewrite it again substituting y + 4 for x.
x + y = 58
y + 4 + y = 58
2y + 4 = 58
2y = 54
y = 27
Now use the second original equation to solve for x.
x = y + 4
x = 27 + 4
x = 31
x = 31; y = 27
Deborah is 31; Sarah is 27.
Answer: Read the following,
Step-by-step explanation:
1
The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl. Assume this level varies from child to child according to an approximate normal distribution. What percentage of children have a cholesterol level above 200 mg/dl?Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. In healthy Alaskan brown bears, the amount of porphyrin in the bloodstream (in mg/dl) has approximate normal distribution with a mean of 38 mg/dland a standard deviation of 12. What proportion of these bears have between 27.5 and 67.5 mg/dl porphyrin in their bloodstream?A forest products company claims that the amount of usable lumber in its harvested trees averages 172 cubic feet and has standard deviation of 12.4 cubic feet. Assume that these amounts have approximately a normal distribution. What proportion of trees contains more than 150 cubic feet?GPAs of freshman biology majors at a certain university have approximately the normal distribution with the mean 2.87 and the standard deviation is 0.34. What proportion of freshman biology majors have GPA above 3.50?Mensa is an organization whose members possess IQs in the top 2% of the population. If the IQs are normally distributed with a mean of 100 and a standard deviation of 15, what is the minimum IQ necessary for admission?Healthy 10-week-old domestic kittens have average weight 24.5 oz. with a standard deviation of 5.25 oz. The distribution is approximately normal. A kitten isdesignated as dangerously underweight when, at 10 weeks, it weighs less than 10.0 oz. What proportion of healthy kittens will designated as dangerously underweight?
<span><span>
cents
( Betty's pay ) - ( what she paid Bobby )
Betty gets to keep $11.70 for the day
( notice that I did all calculations in cents until
the end when I converted to dollars )
</span><span>hope this helps:))</span></span>
Answer: $5,676.87
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 6.45/100= 0.0645)
n= number of compounding periods in each year (2)
Replacing with the values given
A = 5,000 (1+ 0.0645/2)^ (2x2)
A = 5,000 (1.03225)^4
A = $5,676.87
Answer:
In everyday terms and everyday language, rates of change have meaning. For example, the rates of change for some of the examples above can be worded in this manner.
Example 1
Word Problem:
You are at an amusement theme park with your 10 year old child. You bought a ticket for �1/2 day, but your child wants to stay another 4 hours after the �1/2 day is used. The admissions office can accommodate your child's additional time but the rate is $ 15 an hour. How much will it cost to purchase the additional 4 hours at this rate?
Solution to the Word Problem:
$15 / 1 Hour = $x / 4 Hours
x= 4 x 15 = $60
Answer: It will cost you an additional $60 for 4 more hours of fun for your child.
Example 2
Word Problem:
You are following a recipe for a cake for your church group's get together. This recipe calls for 3 tsp of baking powder to every 6 cups of flour. How many tsp would you add to 24 cups of flour?
Solution to the Word Problem:
3 tsp : 6 cups OR 3 tsp / 6 cups OR 3 tsp is to 6 cups
3 tsp / 6 cups = x tsps / 24 cups
6x = 24 x 3 = 76
6x = 24 x 3 = 72 / 6 = 12 4/16 = 12 tsps
Answer: You will need 12 tsps. of baking powder for 24 cups of flour which is enough to make 4 cakes for the church group's get together.
Step-by-step explanation:
