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3 years ago

A pack or cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.32?

Mathematics

1 answer:

horsena [70]3 years ago

7 0

.32 because 4.00 plus .32 is 4.32

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11. Explain how to evaluate the expression 9 +(45 x 2) = 10.

Dmitry_Shevchenko [17]

The Answer Is 18

Order Of Operation laws says that you must do the parentheses first, 45x2.

45x2=90

The next thing you must do is divide 90 by 10 since division is before addition.

90/10=9

Now combine like terms.

9+9=18

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3 years ago

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Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. If three pens cost $5.67,

irga5000 [103]

You would do $5.67 divided by three. one pen is $1.89

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Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

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2 years ago

Is this right and what's the answer for number 3?

Mumz [18]

That looks great! But say you chose number 2. You could say you organized it by multiplying single packs by the pieces of packs.

7 0

3 years ago

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Help me with this please no links

Nostrana [21]

The last option is the answer

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3 years ago