Answer:
1A) 2 gallons of 20% solution and 3 gallons 15% solution needed
1B) 4 gallons of 20% solution and 1 gallons 15% solution needed
Step-by-step explanation:
1A) adding 20% salt and 15% water making 5 gallons of 17%
20% salt + 15% salt = 5 gallons of 17% salt
0.20x + 0.15(5 - x) = 0.17(5)
0.20x + 0.75 - 0.15x = 0.85
0.20x + 0.75 - 0.75 - 0.15x = 0.85 - 0.75
0.20x - 0.15x = 0.10
0.05x = 0.10
0.05x/ 0.05 = 0.10/0.05
x = 2 gallons (amount of 20% solution needed)
5 - x = 5 - 2 = 3 gallons (amount of 15% solution needed)
1B)
0.20x + 0.15(5 - x) = 0.19(5)
0.20x + 0.75 - 0.15x = 0.95
0.20x + 0.75 - 0.75 - 0.15x = 0.95 - 0.75
0.20x - 0.15x = 0.20
0.05x = 0.20
0.05x / 0.05 = 0.20/0.05
x = 4 gallons (amount of 20% solution needed)
5 - x = 5 - 4 = 1 gallons (amount of 15% solution needed)
Learn more about System of Equations here: brainly.com/question/12526075
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
Let's see...
Step-by-step explanation:
- The first coin is a quarter.
- The second, third, fourth, and fifth coins are dimes.
- The sixth, seventh, and eighth coins are nickels.
That being said, what is the total value of the cents?
cents = ¢
<u>Values:</u>
Quarter = 25 ¢
Dime = 10 ¢
Nickel = 5 ¢
So,
1 quarter + 4 dimes + 3 nickels = total cents
25 + 10 + 10 + 10 + 10 + 5 + 5 + 5 = total cents
25 + 40 + 5 + 5 + 5 = total cents
25 + 40 + 15 = total cents
25 + 55 = total cents
80 = total cents
<h3><em>Our answer is 80¢</em></h3><h3><em /></h3>
I hope this helps!
- sincerelynini
X intercepts: (37/8,0)
y intercepts: (0,37/9)
Answer:
Systolic variation coefficient (CVS) = 0.1446 = 14.46%
Diastolic variation coefficient (CVD) = 0.1789 = 17.89%
The variation, with respect to the mean, of the systolic pressure sample is slightly less than the variation of the Diastolic pressures.
Step-by-step explanation:
Systolic Mean (MS) = 127.8
Diastolic Mean (MD) = 73.5
Standard Deviation Systolic (sdS) = 18,486
Standard Deviation Diastolic (sdD) = 13.1508
The coefficient of variation is defined by:
Systolic variation coefficient (CVS) = sdS / MS = 18.486 / 127.8 = 0.1446 = 14.46%
Diastolic variation coefficient (CVD) = sdD / MD = 13.1508 / 73.5 = 0.1789 = 17.89%
Then, it can be concluded that the variation, with respect to the mean, of the systolic pressure sample is slightly less than the variation of the Diastolic pressures.