PLS HELP ASAP

Linda paid $48 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket

kap26 [50]

$48/x 25%/100

48 x 100= 4800
4800 / 25= 192
answer: $192

3 0

4 years ago

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

Please help thank you very much.

Archy [21]

Hello!

Since angle AFB is congruent to angle DFE we know that the angles that use the midpoint are also congruent

The answer is D) angle BFC is congruent to angle DFC

Hope this helps!

8 0

3 years ago

In a study of towns, there was a positive correlation between the number of mail boxes and the number of traffic lights in a tow

AnnZ [28]

1. 25 + 3u = 2u
-3u = -3u
25 = -u
-25=u
2. 14x - 8 = 6x
8x - 8 = 0
8x = 8
x=1
3. 8.5 - 3z = -8z
8.5 = -5z
-1.7 = z
4. 9m + 14 = 2m
7m + 14 = 0
7m = -14
m = -2

4 0

3 years ago

Read 2 more answers

I REALLY NEED HELP ASAP

s344n2d4d5 [400]

Answer:

C. x>30 or x<14

Step-by-step explanation:

what you do is you take the |x-8| and take it out of the absolute value to have x+8>22. You will then subtract 8 to get x<14.

C. is your answer.

4 0

3 years ago