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Lubov Fominskaja [6]
2 years ago
8

Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due

was $46.86. What is the sales tax rate written as a percent? Round to the nearest tenth if necessary.
Mathematics
1 answer:
inn [45]2 years ago
6 0

Answer:

6.5%

Step-by-step explanation:

15.95+10.95+17.10 = 44

46.86-44 = 2.86

2.86/44 = 0.065

0.065 = 6.5%

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Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ​ ,0)(, plus minus, square root o
Alchen [17]

Answer:

The equation of ellipse centered at the origin

\frac{x^2}{18} +\frac{y^2}{10} =1

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)  

the focus has x-coordinates so the focus is  lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are c^2=a^2-b^2

      a^{2} = c^{2} +b^{2}

a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}

a^{2} =18

a=\sqrt{18}

The equation of ellipse formula

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

we know that a=\sqrt{18} and b=\sqrt{10}

<u>Final answer:</u>-

<u>The equation of ellipse centered at the origin</u>

<u />\frac{x^2}{18} +\frac{y^2}{10} =1<u />

                                   

8 0
3 years ago
Read 2 more answers
Please answer this correctly
Elan Coil [88]

Answer:

t=13

Step-by-step explanation:

the ratio of the shorter sides is t/4 and the ratio of the longer sides is 26/8 so t=26×4/8=104/8=13

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hoa [83]

Answer:

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Step-by-step explanation:

simplify all fractions to lowest possible.

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10/25 = 2/5

6/15 = 2/3

4/6 and 6/15 are equivalent

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X intercept= 6
y intercept= -2
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