Answer:
y= 1/2x + 17/2
Step-by-step explanation:
First, find your slope using y-y1/x-x1. This is your expression: 10-6/3--5. 10-6 equals 4, and 3--5 equals 8. Your slope is 4/8, but it can be simplified to 1/2. This should be your current equation: y=1/2x+b. Plug in one of your ordered pairs to the equation, it doesn't matter which pair you want to use. I'm using the second ordered pair, so this is what you would have: 10=1/2(3)+b. Multiply 1/2 by 3 to get 3/2. This is what it should look like: 10=3/2+b. Subtract 3/2 from both sides to get your y-intercept of 17/2. Go back to your original equation and plug in your y-intercept. This is your final answer: y= 1/2x + 17/2. Hope this helped!
To answer this question you would have two steps involved. The first step would be to find the percentage of $42 that gives us $2.94. Set up an equation 42x=2.94. Divide both sides by 42 to get the decimal 0.07. This equal 7%. Take this percentage multiplied by the $58. You need to change the 7% into 0.07 to be able to calculate it. 0.07 x 58 = $4.06 sales tax.
Answer:
4b this is the correct answer yes
Answer: x = 5/7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/3 (x + 1) + 2x = 2
(1/3) (x) + (1/3) (1) + 2x = 2 (Distribute)
1/3x + 1/3 + 2x = 2
(1/3x + 2x) + (1/3) = 2 (Combine Like Terms)
7/3x + 1/3 = 2
Step 2: Subtract 1/3 from both sides.
7/3x + 1/3 - 1/3 = 2 - 1/3
7/3x = 5/3
Step 3: Multiply both sides by 3/7.
(3/7) * (7/3x) = (3/7) * (5/3)
Answer: x = 5/7
Just divide the dimensions by 4 (same as multiplying by 1/4) you get 1ft by 2ft
