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ella [17]
3 years ago
8

If the tax that you pay when you purchase an item is 12% of the sale price , write an expression that gives the tax on the item

with a price p . Write another expression that gives the total price of the item including tax .
Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0
<span>p + .12p = 1.12p Please rate and thank me!</span>
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30 POINTS! Consider the system of linear equations and the matrix equations below.
fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]

AX=B

X = A^{-1}B

A^{-1} = |A|/Adj A

|A| = (-1)(-2)-(3)(4)

|A| = 2-12

|A| = -10

Adj A = \left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = -1/10\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]

X= A^-1 B

X = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]\left[\begin{array}{c}2&22\end{array}\right]

X=1/10X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]

So, x = 7 and y =3

Hence Option C is correct.

4 0
3 years ago
Read 2 more answers
10(y+2)-y=2(9y-8) i need to know how to solve it
vlabodo [156]

10(y+2)-y=2(9y-8)

Mutiply the first bracket by 10

Mutiply the second bracket by 2

(10)(y)(10)(2)= 10y+20

(2)(9y)(2)(-8)= 18y-16

10y+20-y= 18y-16

10y-y+20= 18y-16

9y+20= 18y-16

move 18y to the other side

sign changes from +18y to -18y

9y-18y+20= 18y-18y-16

-9y+20= -16

move +20 to the other side

sign changes from +20 to -20

-9y+20-20=-16-20

-9y= -36

divide by -9

-9y/-9= -36/-9

y= 4

Answer: y= 4

6 0
3 years ago
What is the volume of a cube with 1/2 inch sides
Studentka2010 [4]
What is the formula for calculating the volume of a cube?

V = s x s x s where s = the length of a side

V = .5 x.5 x.5 = .125
5 0
3 years ago
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JEEZUS PLEASE HELP ME PEOPLE KEEP TROLLING ME AND NONE OF MY ANSWERS HAVE BEEN CORECTLY ANSWERED, I WILL GIVE MONEY FOR FLIPS SA
Savatey [412]

Answer:

14. 6 x 10^{17}

15. 28.615 x 10^{10}

16. I'm so sorry, I'm not sure!

17. 1.26 x 10^{10}

18. 1.639 x 10^{-8}

19. 2.025 x 10^{17}

<em>Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!</em>

<em></em>

<em>-Aphrodite</em>

Step-by-step explanation:

8 0
3 years ago
Find the surface area of the prism. Write your answer as a decimal.
Natali5045456 [20]

Answer:

1.5cm³

Step-by-step explanation:

Surface area of a prism = bh x 6

0.5 x 0.5 = 0.25 x 6 = 1.5

3 0
3 years ago
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