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jraghubir50
30.09.2019 •
Mathematics
Agirl scout troop sold cookies. if the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week?
they sold boxes the first week, boxes the second week, and boxes the third week.
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Ответ:
We have three placeholders.
x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.
"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y
"They doubled the sales of the second week for the third week."
z = 2y
"To sell a total of 431 boxes of cookies"
x + y + z = 431
Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431
Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431
Collect Like Terms.
2x + 5 + 2(x + 5) = 431
Distribute.
2x + 5 + 2x + 10 = 431
Collect Like Terms.
4x + 15 = 431
Subtract 15 from both sides.
4x = 416
Divide both sides by 4.
x = 104
Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y
z = 2y
z = 2(109)
z = 218
Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.
The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.
Ответ:
The probability that she lives 73 years is 0.1897
Step-by-step explanation:
Here the random variable x= 83 years where x is the average life span of a Hispanic female. the mean would be 41.5 years
We have to find the probability that Dora lives 73 years. Her present age is 53 years.
In mathematics this can be re written as P(x=73)
Variance= ∑ ( x-x`)/1= 83-41.5/1= 41.5
Standard deviation = √var= √41.5= 6.4 years
At x= 73 we have z= 73-41.5/6.4= 4.92
Using the z tables the value under the area 4.92 = 0.1897
So the Probability that she lives 73 years is 0.1897