PLEASE HELP I NEED THIS BY TONIGHT I WILL GIVE AS MUCH POINT AS I CAN2. Debra’s mom is cleaning out the pantry and finds a mixture for 42 cups of iced tea. She doesn’t want to waste the mixture and suggests that Debra donate it to her book club to make more pineapple tea to sell at the next social.

(a) How much lemon juice and pineapple juice will the club need to purchase to use up the 42 cups of iced tea? Show your work.
(b) It costs $1.18 for a 12 oz container of lemon juice. How many containers does the club need to buy and how much will it cost? Show your work and explain your answer.
(c) It cost a total of $20.50 to buy all the lemon juice and the pineapple juice needed. How much did the pineapple juice cost? Show your work.

Answers

Answer 1

Answer: Hey is there any more details to this question or nahhhhhhh

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Factor completely. n ^4 - 1

Answers

Answer: Hello there!

here we have the equation n^4 - 1

using the relation: $(a^(2) - b^(2)) = (a+b)*(a-b)$

we can write our equation as:

$(n^(4) - 1) = ((n^(2) )^(2) -1^(2) ) = (n^(2) + 1)(n^(2) - 1) = (n^(2) + 1)(n + 1)(n-1)$

and (n^2 + 1) has only complex roots, i and - i, then we can factorize this as (n -i)(n + i) = n*n + ni - ni (+i)*(-i) = (n^2 + 1)

then our equation is: $(n^(2) + 1)(n + 1)(n-1) = (n + i)(n - i)(n + 1)(n-1)$

(n^4 - 1) = (n^2 - 1) (n^2 +1) = (n - 1) (n + 1) (n^2 + 1)

how many different ways can a band teacher select the lead and co lead trumpet player from a group of 12 trumpet players

Answers

There are 132 ways of selecting them.

What is permutation and combination ?

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

According to the question,

So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.

Multiply both numbers of possibilities

= 12× 11

=132

Hence ,There are 132 ways of selecting them.

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So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.

Multiply both numbers of possibilities -> 12*11=132

There are 132 ways of selecting them.

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?5x + 13y = 232
12x + 7y = 218
The first equation can be multiplied by –13 and the second equation by 7 to eliminate y.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.

Answers

The THIRD sentence is correct.
The first equation can be multiplied by -12 and the second equation by 5, to eliminate x.
Let's do this:
(1st equation) 5*x + 13*y = 232 / *(-12)
(2nd equation) 12*x + 7*y = 218 / *(5)
---------------------------------
When multiplied, we get:
(1st equation) -60*x - 156*y = -2784
(2nd equation) 60*x + 35*y = 1090
---------------------------------
Further, first equation now will be obtained when ADDING 1st and 2nd equation together:
(1st equation) -60x+60x-156y+35y=-2784+1090
2nd equation we get from just writing any equation from the beginning, for example, the second one:
(2nd equation) 12*x + 7*y = 218
-----------------------------------------
(1st equation) 0*x - 121*y = -1694
(2nd equation) 12*x + 7*y = 218
------------------------------------------
(1st equation) -121*y = -1694 [x variable is in this step eliminated]
(2nd equation) 12*x + 7*y = 218
----------------------------------------------
(1st equation) y = 1694/121
(2nd equation) 12*x + 7*y = 218
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x + 7*14 = 218
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x + 98 = 218
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x = 218 - 98
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x = 120
----------------------------------------------
(1st equation) y = 14
(2nd equation) x = 120/12
----------------------------------------------
(1st equation) y = 14
(2nd equation) x = 10
----------------------------------------------
So, solution of the system of this two equations is obtained, and it is:
(x,y)=(10,14)

Answer:

The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.

Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 16.

Answers

Answer:

x²/64 + y²/81 = 1

Step-by-step explanation:

Standard form of an equation for the ellipse is $(x^(2) )/(a^(2))+(y^(2) )/(b^(2) )=1$

Here b is the length of vertical major axis = 9

and minor axis of length a = 8

Therefore the equation of the ellipse will be

$(x^(2) )/(8^(2) )+(y^(2) )/(9^(2) ) =1$

$(x^(2) )/(64)+(y^(2) )/(81)=1$

So the answer is x²/64 + y²/81 = 1

Let us assume then that the center is the origin. If the major axis is 18, then a = 9 and a^2=81. If the minor axis is 16, then b = 8 and b^2=64. Now you can write the equation. Remember that this ellipse is vertical and so a^2 goes under y^2

Will mark brainliest pleassse help someone Pyramid A is a square pyramid with a base side length of 9 inches and a height of 10 inches. what is the volume

Answers

Check the picture below.

$\bf \textit{volume of a pyramid}\n\n V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\n &its~base\n h=&height\n \cline{1-2} B=&\stackrel{9* 9}{81}\n h=&10 \end{cases}\implies V=\cfrac{1}{3}(81)(10)\implies V=270$

2 The density of a substance can be determinedby finding the unit rate that compares mass to
volume. A nugget of gold has a mass of
463.2 grams and a volume of 24.0 milliliters.
What is the density of gold?
F 11,116.8 g/mL
G 439.2 g/mL
H 0.052 g/mL
J 19.3 g/mL

Answers

Answer:

88888

Step-by-step explanation:

6201005050

Final answer:

The density of a substance, including gold, is calculated by dividing its mass by its volume. For the nugget of gold with a mass of 463.2 grams and a volume of 24.0 milliliters, the density is calculated as 19.3 g/mL.

Explanation:

The density of a substance can be calculated by dividing its mass by its volume. This is also known as the unit rate comparing mass to volume. In the case of the gold nugget, you have a mass of 463.2 grams and a volume of 24.0 milliliters. To find the density, you would divide the mass (463.2 g) by the volume (24.0 mL).

So, the calculation will be as follows:

Density = Mass / Volume = 463.2 g / 24.0 mL = 19.3 g/mL

Thereby the density of gold in this scenario is 19.3 g/mL.

Learn more about Density here:

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The factors of m2 + 12m + 35 are ( ) and ( ). NextReset

Ninety percent of the ninth grade students at Richbartville High School take algebra. If 180 ninth grade students take algebra, how many ninth grade students do not take algebra? Please give answer and explain how to do it I'm so confused!