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3 years ago

Tickets for a baseball game sell for $3. One hundred fifty were sold in advance. The stands has 400 seats.

Mathematics

2 answers:

Travka [436]3 years ago

5 0

Answer:

B.)

Step-by-step explanation:

This answer is most likely.

marusya05 [52]3 years ago

3 0

Answer:

Step-by-step explanation:

A is not greater than 1200

But c and d combined make answer B which "Best Describes" the answer

It fits the question way better than the other answers.

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An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 2 unit

Gala2k [10]

Answer:

475 transistors, 25 resistors and 50 computer chips can be produced.

Step-by-step explanation:

Let us consider, p = Number of transistors.

q = Number of resistors.

r = Number of computer chips.

The following three linear equations according to question,

$3\times p + 3\times q + 2\times r = 1600\\2\times p + 1\times q + 1\times r = 1025\\1\times p + 2\times q + 2\times r = 625$

The matrix form of any system, Ax = B

Where, A = Coefficient matrix

B = Constant vector

x = Variable vector

$A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right], x = \left[\begin{array}{ccc}p\\q\\r\end{array}\right], B = \left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]$

The inverse matrix, $A^{-1}$ can be found by using the following formula,

$A^{-1} = \frac{1}{det A}\times (C_{A}) ^{T}$

Where, det A = Determinant of matrix A.

$C_{A}$ = Matrix of cofactors of A

Now, applying this formula to find $A^{-1}$ ;

$det A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right] = 3\times(2-2)-3\times(4-1)+2\times(4-1) = -3$

Here, $det A\neq 0$ , thus the matrix is invertible.

$C_{A} = \left[\begin{array}{ccc}(2-2)&-(4-1)&(4-1)\\-(6-4)&(6-2)&-(6-3)\\(3-2)&-(3-4)&(3-6)\end{array}\right] = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] \\(C_{A}) ^{T} = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] ^{T} = \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]$

$A^{-1} = \frac{1}{-3}\times\left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right] \\ So, x= \frac{1}{-3} \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]\times\left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]= \frac{1}{-3} \left[\begin{array}{ccc}-1425\\-75\\-150\end{array}\right] = \left[\begin{array}{ccc}475\\25\\50\end{array}\right]$

So, p = 475, q = 25, r = 50.

7 0

3 years ago

Joe saved $8000 in his bank account. His account interest rate is 2.1%. What will his bank account balance be after 6 years?

AlexFokin [52]

9008 hope it is right

3 0

3 years ago

Read 2 more answers

Alex wrote checks on Tuesday for $35 and $45. He also made a deposit in his checking account of $180. Find the overall change in

Natalija [7]

He deposited a total of $180.

Wrote two checks that totaled $80

x=180-80

180-80=100

Therefore, he would have $100 in his checking account after the two checks.

8 0

3 years ago

where r is the radius of the The formula for the lateral surface area of a cylinder is S = 2pi * r * h bases and h is the height

Serjik [45]

Answer:right I was just look for the same thing when I tried to work it

Step-by-step explanation:

6 0

3 years ago

Question<br> Translate and solve: Twelve less than x is equal to 51. Enter the equation

mafiozo [28]

Answer:

x = 63

Step-by-step explanation:

From the question, we can deduce the following points;

- 12 less than x which simply means 12 subtracted from x.

- the value of the above expression is equal to 51.

Translating the word problem into an algebraic expression, we have;

x - 12 = 51

Rearranging the equation (collecting like terms), we have;

x = 51 + 12

x = 63

6 0

3 years ago