Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.
Answer:
She needs 4 yards.
Step-by-step explanation:
To multiply fractions, you just multiply the whole number by the numerator of the fraction.
<em>The numerator is the top number of a fraction.</em>
<em>The denominator is the bottom number of a fraction.</em>
You can think of the whole number 6 as the fraction 6/1.
<h3>Step 1</h3>
Multiply 6/1 by 2/3
6x2=12
1x3=3
So, 6/1x2/3=<u>12/3</u>
<u></u>
<h3>Step 2</h3>
Now you need to simplify the fraction
Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.
12÷3=4
<h2>
So betty needs 4 yards of fabric to make 6 skirts.</h2>
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
