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mariarad [96]
3 years ago
12

Sam purchased a used car for $15000. He paid 6.3% sales tax. How much tax did he pay?

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

$945

Step-by-step explanation:

($15000)(.063) = $945

*note: divide by 100 to turn percent into decimal

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When making a full batch of tuna, you will mix one pouch of Tina with 26oz (737g) of mayonnaise. How much tuna and mayonnaise wo
Ahat [919]
Two packs of Tina with 26 + 26 = 52 oz of mayonnaise.
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3 years ago
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Solve the equation by factoring. 8x^2+10x-7=0<br><br> What is the solution set?
nydimaria [60]

Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

  • multiply the leading coefficient and the last term.
  • find the product factors that add to give you the coefficient of the middle term.
  • rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

  1. 4x + 7 = 0
  2. 2x - 1 = 0

 

<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

7 0
2 years ago
Read 2 more answers
Figure I and Figure II are similar figures,
ELEN [110]

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

<h3>What are the properties of similar polygon?</h3>

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

\frac{ST}{EF}=\frac{WR}{CD}

Hence the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

Learn more about the similar polygon here;

brainly.com/question/771807

8 0
2 years ago
Determine whether the statement is true or false, and explain why.
ipn [44]

Answer:

False

Step-by-step explanation:

The statement is False, because the average value of a funciton f(x) on an interval is given by the value of the integral of the function on that interval divided by its length. In this case, the integral is right, but we are not integrating exactly f, and thats why the average value is not given correctly.

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3 years ago
What is the redosed fraction for 3897/1000
Nadusha1986 [10]

Answer:

3000.897

Step-by-step explanation:

3 0
3 years ago
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