Ok so I like to go in steps with these questions- first draw a picture and identify your variables.
W=width
L= 3w-1
Now we know that length times width gets us area so we plug in our variables into the area equation.
200 = w(3w-1)
When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0
Either factor that or use the quadratic formula to get
w= 8.33 and w= -8
Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.
Final answer:
w= 8.33ft
l= 23.99ft
*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*
Answer:
i think IV
Step-by-step explanation:
because of the picture
Answer:
Bryce is wrong in step 1 because he did not distribute 3 over 5/3
Explanation
Given the steps taken by bryce as shown, we are to find where he made an error
Given the expression;
Step 1:Expand the bracket using the distributive law;
8/3 = 3c + 3(5/3)
<em>Simplify</em>
8/3 = 3c + 15/3
Step 2: Subtract 15/3 from both sides
8/3 - 15/3 = 3c+15/3-15/3
(8-15)/3 = 3c
-7/3 = 3c
Step 3: Multiply both sides by 1/3
-7/3 * 1/3 = 3c * 1/3
-7/9 = c
Swap
c = -7/9
From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect
Answer:
Step-by-step explanation:
Answer: there are 8 quarters in the jar
Step-by-step explanation:
Let x represent the number of nickels that is inside the jar.
The total number of coins inside the jar is 20.
Probability is expressed as
Number of possible or favorable outcomes/total number of outcomes.
The probability of selecting a nickel is 0.6. This is expressed as
0.6 = x/20
Cross multiplying, it becomes
x = 20 × 0.6
x = 12
Since there are 12 nickels inside the jar, then the number of quarters would be
20 - 12 = 8
