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3 years ago

Shapes with 2 pairs of parallel sides

Mathematics

2 answers:

lukranit [14]3 years ago

6 0

Square
Parallelogram
Rectangle

bagirrra123 [75]3 years ago

5 0

Squares and rectangles

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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

3 years ago

What is the value of -44.4-7?

KengaRu [80]

Answer:

-51.4

Step-by-step explanation:

3 0

3 years ago

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Solve the equation <br> X+ (-15) = 9

ella [17]

Step-by-step explanation:

$x + ( - 15) = 9$

$x - 15 = 9$

$x = 9 + 15$

$x = 24$

3 0

2 years ago

Read 2 more answers

A Square with sides 1 decimeter long has a perimeter of how many centimeters?

Lubov Fominskaja [6]

1 Decimeter = 10 Centimeters
4 x 10 = 40 Centimeters

4 0

3 years ago

Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours

nata0808 [166]

Answer: $2\ \dfrac{7}{12}\ \text{hours}$

Step-by-step explanation:

Given

Azmyne decided to study a total of $6\ \frac{1}{2}\ hours$

She spent $1\ \frac{1}{4}\ hours$ on Friday and $2\ \frac{2}{3}\ hours$ on Saturday

Hours spent on Friday

$\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours$

Hours spent on Saturday

$\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours$

She must study for

$\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}$

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2 years ago