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2 years ago

13

Vernon lives in New Mexico and pays 5% in sales tax. He bought an air conditioner, and the amount he paid after sales tax was $1

527.75. What was the cost of the air conditioner before sales tax was applied?

1 answer:

Likurg_2 [28]2 years ago

3 0

1264$ is the cost of the air conditioner before sales tax was applied.

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Jenn buys 4 balls of yarn for a total of $23.78. She pays with two $20 bills. What is her change?

tamaranim1 [39]

Her change will be $16.22 since 20 +20 is 40 and 40 - 23.78 is 16.22

3 0

3 years ago

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X2 - 6x + 12 and y = 2x - 4, algebraically are

olga_2 [115]

<em><u>The solution is (4, 4)</u></em>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

$y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2$

<em><u>Substitute eqn 2 in eqn 1</u></em>

$x^2 - 6x + 12 = 2x - 4$

Make the right side of equation 0

$x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0$

<em><u>Solve by quadratic equation</u></em>

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4$

<em><u>Substitute x = 4 in eqn 2</u></em>

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

5 0

3 years ago

Explain how to do this

Lera25 [3.4K]

Average of 2 numbers is 40
so total = 2 x 40 = 80

300 - 80 = 220

average of remaining 10 numbers = 220/10 = 22

answer
B) 22

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3 years ago

If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.

mestny [16]

<h3> $\huge\mathfrak\pink{Answer}$ </h3><h3>The area of rhombus PQRS is 120 m. </h3>

Step-by-step explanation:

<h3>correct me if I'm wrong.</h3>

$\huge\mathfrak\red{Hope it's help}$

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2 years ago

What is the answer for 4+11

Archy [21]

The answer to 4+11 would be 15

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3 years ago

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