Elliot and kay both bought the same lunch box for $6. Elliot lives in Oklahoma and pays 4.5% in sales tax, while Katy lives in South Carolina and pays 6% in sales tax. how much more did Katy pay in sales tax than Elliot a.$0.09
b.$0.27
c.$0.63
d.$0.36

Answers

Answer 1

Answer:
Multiply the price by the amount of sales tax and then subtract the two:

Elliot:
4.5% = 0.045
6 * 0.045 = 0.27 sales tax

Katy:
6% = 0.06
6*0.06 = 0.36 sales tax

Difference = 0.36 - 0.27 = 0.09

The answer is A.

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X + 10 = 2x
solve for x

Answers

Answer:

Step-by-step explanation:

10 + 10 = 2x

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have a nice day and mark me brainliest! :)

Time(weeks) Lake Depth
(feet)
0 346.0
2 344.8
5 343.0
7 341.8
10 340.0
12 338.8

An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during the first few months of the drought. When the agency began its research, the depth of the lake was 346 feet. The table represents the agency’s susequent observations about the lake's depth.

Which equation represents the depth of the lake, y, based on the number of weeks passed, x?

y = -0.6x + 346

y = -1.2x + 346

y = -0.6x

y = -1.2x

Answers

(0,346)(2,344.8)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (344.8 - 346) / (2 - 0)
slope(m) = -1.2/2 = - 0.6

y = mx + b
slope(m) = - 0.6
(0,346)...x = 0 and y = 346
now we sub
346 = - 0.6(0) = b
346 = b

ur equation is : y = - 0.6x + 346

Identify the expression that does not belong and explain your reasoning:5.25 • 10^7
(2.1 • 10^2)(2.5 • 10^5)
52.5 • 10^8
(2.1)(2.5) • 10^2+5

Answers

D does not belong because the first 3 digits of the product of the first 3 equations is 525 and for D it is not.

Graph the line
Y=-2/5x+2

Answers

Hey There @Fay2121,

Always remember to use the rise over run principals in order to graph the line.

What does rise mean?

Rise basically means to go up and down vertically.

What does run mean?

Run basically means to go left or right horizontally.

The starting point is always the y intercept.

In this graph you would go up 2 spaces and left 5 spaces.

Please click on the attachment to view the line:

The length of a rectangle is 5 greater than 3 times the width. The area of the rectangle is 22cm. Find the length and the width. (SHOW STEPS)

Answers

$x-width\n3x+5-length\n22cm^2-area\ of\ the\ rectangle\n\nx\cdot(3x+5)=22\n3x^2+5x-22=0\n\na=3;\ b=5;\ c=-22\n\n\Delta=b^2-4ac\n\n\Delta=5^2-4\cdot3\cdot(-22)=25+264=289\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(289)=17$

$x_1=(-5-17)/(2\cdot3)=(-22)/(6) < 0\n\nx_2=(-5+17)/(2\cdot3)=(12)/(6)=2\n\n3x+5=3\cdot2+5=6+5=11\n\nAnswer:the\ width\ is\ 2cm\ and\ the\ lenght\ is\ 11cm.$

$a-the\ length\ of\ a\ rectangle,\ \ \ a>0\nb-the\ width\ of\ a\ rectangle,\ \ \ b>0\n\na=3b+5\ \ \ \wedge\ \ \ A=22\ cm^2\n \nA=a\cdot b\ \ \ \Leftrightarrow\ \ \ (3b+5)\cdot b=22\ \ \Leftrightarrow \ \ 3b^2+5b-22=0\n \n\Delta=5^2-4\cdot3\cdot(-22)=25+264=289\ \ \Rightarrow\ \ √(\Delta) =17\n \nb_1= (-5-17)/(2\cdot3) = (-22)/(6)=-3 (2)/(3) <0,\ \ \ \ \ \ \ \ \ b_2= (-5+17)/(2\cdot3) = (12)/(6)=2\n \nb=2\ \ \ \Rightarrow\ \ \ \ a=3 b+5=3\cdot2+5=6+5=11$

$Ans.\ the\ length\ is\ 11\ cm,\ \ the\ width\ is\ 2\ cm.$

The rabbit population in a certain area is 500% of last year's population. There are 1,100 rabbits this year. How many were there last year?