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2 years ago

An expression is given.

1 answer:

4 0

Answer:
A. 0.25x - 6.50

Explanation:
(3x - 1) - 2.75 (x + 2)
= 3x - 1 - 2.75x - 5.5
=0.25x -6.5
Hence A is equivalent to 0.24x -6.5

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The snack shop makes 3 mixes of nuts in the following proportions.

Julli [10]

Answer:

$A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}$

$B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

Step-by-step explanation:

It is given that the snack shop makes 3 mixes of nuts in the following proportions.

Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.

Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.

Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.

they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.

We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.

Mix I Mix II Mix III

peanuts 6 5 3

cashews 2 3 4

pecans 2 2 2

$A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}$

$B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

The product of both matrices is

$AB=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

$AB=\begin{bmatrix}6\cdot \:25+5\cdot \:18+3\cdot \:35\\ 2\cdot \:25+3\cdot \:18+4\cdot \:35\\ 2\cdot \:25+2\cdot \:18+3\cdot \:35\end{bmatrix}$

$AB=\begin{bmatrix}345\\ 244\\ 191\end{bmatrix}$

Therefore matrix AB gives the total number of lbs of each nut required to fill the order.

8 0

4 years ago

Can anyone help me out in my homework. I would love to talk about these problems

katen-ka-za [31]

Step-by-step explanation:

(b) If $F_G = m_1g,$ then

$m_1g = G\dfrac{m_1m_2}{r^2}$

Note that $m_1$ cancel out so we get

$g = G\dfrac{m_2}{r^2}$

Solving for $m_2,$ we get

$m_2 = \dfrac{gr^2}{G}$

$F_G = G\dfrac{m_1m_2}{(2r)^2} = \dfrac{1}{4}\left(G\dfrac{m_1m_2}{r^2}\right)$

5 0

3 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

antoniya [11.8K]

We can solve this system using elimination:

(x+y=24)3
3x+5y=100

3x+3y=72
-(3x+5y=100)
0x-2y=-28
y=14

We can then plug this back into one of the original equations:

x+14=24
x=10

We can check our answer by plugging this into both of the original equations:

10+14=24
24=24

3(10) + 5(14)=100
30+70=100
100=100

Therefore, there are 10 3-point questions and 14 5-point questions.

7 0

3 years ago

Read 2 more answers

How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9

defon

Answer:

Step-by-step explanation:

1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9

4 0

3 years ago

Read 2 more answers

What is the slope of the two points given?