Answer:
we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Step-by-step explanation:
let the 20% solution = x liters
let the 50% solution = y liters
total solution of the mixture of the two solutions in % = 28%
total solution of the mixture of the two solutions in liters = 75 liters
considering the total solutions given, we will have the following equations if we mix the solutions in equal proportion;
20x + 50y = 28 (75)
0.2x + 0.5y = 0.28(75)
0.2x + 0.5y = 21 -------equation 1
Also,
x + y = 75 ------equation 2
y = 75 - x
(substitute this into equation 1)
0.2x + 0.5(75 - x) = 21
0.2x + 37.5 - 0.5x = 21
0.2x - 0.5x = 21 - 37.5
-0.3x = -16.5
x = -16.5 / -0.3
x = 55 liters
Recall, y = 75 - x
y = 75 -55
y = 20 Liters
Thus, we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
23) The decimal place with the greatest digit difference is tenths place
ex: 1.2
^ that number right after the decimal is the tenths place
24) The difference between the heights of Mount Steele and Mount Blackburn is 0.048. I found this by subtracting the height of Mount Steele from the height of Mount Blackburn
25) You order the heights of the mountains by looking to see which mountain has the largest number before the decimal. If they are all the same number, you look to the first number behind the decimal, the tenths place and find what number is the largest, and closest to becoming another whole number. If they are all the same number again, you must look to the hundreths place to find the next largest number of the group. Whichever number has the largest number in this spot, would be the largest, as the mountain with the second largest number in the hundreths place would be the second largest mountain and so forth.
I hope this helps:)
The answer to Part A is 2 15/32
Answer:
y intercept = 10
Step-by-step explanation:
the equation of a line in slope intercept form is :
y = mx + b
y=10-2x is in this form
that is y= -2x + 10
with y intercept = 10
