Answer:
65 servings
Step-by-step explanation:
Larry made 5 batches of punch.
In each batch, she uses the amount of lemon juice = 24 fluid ounces
and the amount she uses of orange juice = 5 pints
Since 1 pint = 16 fluid ounces
∴ 5 pints = 16 × 5 = 80 fluid ounces
Total quantity of punch in each batch = 24 + 80
= 104 fluid ounces
Total quantity of punch in 5 batches = 104 × 5
= 520 fluid ounces
If each serving is 1 cup.
and 1 cup = 8 ounces
He made the number of servings all together = 
= 65 cups
He made 65 servings all together.
Answer: option 2 describes best
Step-by-step explanation:Given Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.
Step 1: (6x3 – 22x2) – (9x + 33)
Step 2: 2x2(3x – 11) – 3(3x + 11)
Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?
Marisol should realize that her work shows that the polynomial is prime.
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).
Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).
According to question Marisol grouped the terms and has done factorisation of the given polynomial 6x^3 – 22x^2 – 9x + 33.
In step 1 she has written as (6x^3 – 22x^2) – (9x + 33)
Marisol has to go to step 1 in order to correct her mistake. She has to group the expression as (6x^3 – 22x^2) – (9x – 33) so that she will be able to get the expression as
6x^3 – 22x^2 – 9x + 33 after opening the brackets.
|AD|=(3i-1j)-(-3i-0j)=3i-1j+3i+0j=6i-1j
|BA|=(-3i-0j)-(-1i+3j)=-3i-0j+1i-3j=-2i-3j
Area =|AD|x|BA|
= i j k
6 -1 0
-2 -3 0
= -1 0 i - 6 0 j + 6 -1 k
-3 0 -2 0 -2 -3
= 0 i - 0 j + (-18-2)k = -20 k
√(-20)² =20
Answer:
A. x = 2√3; y = 4√3
Step-by-step explanation:
6 = x√3
x = 2√3
y = 2x
y = 2(2√3)
y = 4√3
