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Reika [66]
3 years ago
9

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

Mathematics
1 answer:
Julli [10]3 years ago
8 0

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.

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Anyone i need help with this
DIA [1.3K]

Answer:

Step-by-step explanation:

a1=90-a2

a1=90-30=60

a2 is opposite 30 and opposite angles are equal so

a2=30

The sum of the angles of a triangle are equal to 180 degrees.

a2+a3+70=180

a3+30+70=180

a3=100=180

a3=80

4 0
3 years ago
Can someone see if these are right?
qwelly [4]
I didn't get the same answers.

In this problem, 25 is your constant (the number of baby hats you already started out with).
26 will be affected by your variable, d, the number of days. With each day that passes, 26 more hats will be knit, so the expression 26d can be used. 

Set h equal to the constant + hats made per day to create an expression that you can use to solve for h:
h = 26d + 25

Now, just plug the numbers in for d to get h:
When d = 2, h = 26d + 25 = 26(2) + 25 = 77
When d = 4, h = 26d + 25 = 26(4) + 25 = 129
When d = 7, h = 26d + 25 = 26(7) + 25 = 207
When d = 9, h = 26d + 25 = 26(9) + 25 = 259

Your answers should be:
77
129
207
259
5 0
3 years ago
What is the value of (7 + 2i)(3 - i)?
Harrizon [31]
There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}

Imaginary numbers:
Using the result from earlier:
21-i-2i^{2}
Now since i = \sqrt{-1}, then the expression becomes:
21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i
7 0
3 years ago
One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is
ioda

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

Area=\dfrac{1}{2}\times Base\times Height

The area of a right triangle is

Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)

Let x be the length of other leg.

225=\dfrac{1}{2}\times (9)\times (x)

2\times 225=9x

\dfrac{450}{9}=x

50=x

Therefore, the length of the other leg is 50 cm.

4 0
3 years ago
The lunch lady has 3 pounds of lasagna left over. If she makes 1/6-pound servings, how many servings of
maksim [4K]

Answer:

⇒\frac{1}{6}×3

⇒\frac{1}{2}

Step-by-step explanation:

6 0
3 years ago
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