Define your variables:
Q: number of quarters
D: number of dimes
Next, create your equations
Q = 2D-4
25Q+10D=200
Because one variable (Q) is already written in terms of the other variable, D, you can already start solving with substitution.
25(2D-4)+10D=200
50D-100+10D=200
60D=300
D=5
Substitute D back into the other equation to find Q.
Q=2D-4
Q=2(5)-4
Q=6
Substitute D and Q into the second equation to check.
25Q+10D=200
25(6)+10(5)=200
150+50=200
This works, so the answer is right! Bill has 6 quarters and 5 dimes.
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Answer: The exact answer is 3.61 weeks, so <u>the "about" answer is 4 weeks.</u>
Step-by-step explanation:
b = $85 + w (10+8)
b = 85 + w (18)
b = 85 + 18w
b is the total amount need in the bank account, so $150.
$150 = $85 + 18w
$150 - $85 = $85 - $85 + 18w
$65 = 18w
$65 / 18 = 18w / 18
3.611 weeks = w
So, it will take about <u>4 weeks</u> to get $150 in his bank account.
Hope this helps!