First off, let's change the percentage amounts to decimal format, thus, a pure antifreeze is 100% antifreeze, so it has a 100% concentration, thus if we were to add an amount of "x", then the amount on antifreeze in that will then be (100/100) * x, or 1x, or just "x".
the mixture will be say, "y" amount of 40% antifreeze, thus, the concentrated amount in it will be (40/100) * y or 0.4y.
thus
now, bear in mind that, whatever "x" is,
x + 6 = y <--- the amounts added must yield the amount of the mixture
and x + 0.6 = 0.4y <--- the contrated amounts sum will also add up to the mixture's
The wall would be 216.72 feet for Joanna’s wall.
Answer:
141.75 pounds
Step-by-step explanation:
20.25* 7 = 141.75 pounds
You could also add 20.25 + 7 seven times.
Keith's bank account starts with $250 and he adds $150 to it every month. If <em>m</em> is the number of months that have passed, then the amount of money (in dollars) in his account is given by
250 + 150<em>m</em>
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Victoria's account starts with $2000 and she removes half of it each month. So after <em>m</em> months, her account has a value of
2000/2^<em>m</em>
<em />
If you were to plot these amounts, then
(a) Keith's account's value is indeed linear - TRUE
(b) Keith is constantly adding money to his account, so its value is increasing - FALSE
(c) Victoria's account's value involves an exponential expression - TRUE
(d) Victoria is removing money, so the value is decreasing - TRUE
Your answers are correct except for (c).
Y = 3x + 3
y = x - 1
As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.
3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2
Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.
y = x - 1
y = -2 - 1
y = -3
The final step is to check all work by plugging both x- and y-values back into both equations.
y = 3x + 3
-3 = 3(-2) + 3
-3 = -6 + 3
-3 = -3 -- This is true
y = x - 1
-3 = -2 - 1
-3 = -3 -- This is true.
Answer:
(-2, -3)
