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Sholpan [36]
3 years ago
7

An article retails for $38.50. The city sales tax is 4%, and the federal excise tax is 7%. How much is the total tax?

Mathematics
2 answers:
Rainbow [258]3 years ago
8 0
4/100; 38.50 x 0.04= $1.54
7/100; 38.50 x 0.07= $2.70
 
$1.54 + $2.70= $4.24
Leokris [45]3 years ago
6 0
First you add the two tax percentages together- 11%
Then you must find what 11% of $38.50 is;
So, you multiply $38.50 by .11; which is the equivalent of 11% of the total.
This equals $4.235, which would be your total tax.
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Scale Factor : ____?____
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Step-by-step explanation:

The base of triangle X has a length of 12, and the base of triangle x' has a length of 3. Therefore, the scale factor is 1/4, because 12 x 1/4 = 3.

5 0
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Divide 259875 by the smallest number so that the quotient is a perfect cube. Also find the cube root of the quotient
Stolb23 [73]

Answer: <em>The smallest number by which 259875 should be divided to make it a perfect cube is 77.</em>

Step-by-step explanation:

<em>Let's expand the number 259875 into prime factors:</em>

<em>259875 = 3³ ∙ 5³ ∙ 7 ∙ 11</em>

<em>Since in the factorization, 7 and 11 appears only one time, we must divide the number 259875 by 7 · 11 = 77, then the quotient is a perfect cube.</em>

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<em />\sqrt[3]{3375} =\sqrt[3]{3^{3} \cdot 5^{3} } =3 \cdot 5 = 15<em />

6 0
3 years ago
Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
Maurinko [17]

Answer:

The expression i.e. "BC equals AC times CE all over CD" will help Eshaal to determine the length of segment BC.

Step-by-step explanation:

<em>I have assumed you have asked the question as shown in figure a.</em>

Let us consider the triangle ACB as shown in fig a, in which:

Given:  

segments DE and AB are parallel i.e. DE || AB

To Determine:

BC equals AC times CE all over CD i.e. BC = AC \frac{CE}{CD}

Solution:

If we observe closely enough, two triangles ABC and DEC are observed similar as their corresponding angles are congruent and the corresponding sides have a certain proportion, as shown in fig b.

So, by AAA (Angle-Angle-Angle) similarity, ΔABC∼ΔDEC  

∠A ≅ ∠D and ∠B ≅ ∠E and ∠C ≅ ∠C

As the corresponding sides of similar triangles ABC and DEC have a certain proportion. So,

\frac{AB}{DE} = \frac{AC}{CD} = \frac{BC}{CE}

Therefore,  

                   \frac{BC}{CE} = \frac{AC}{CD}

                   BC = AC \frac{CE}{CD}

So, BC equals AC times CE all over CD

Therefore, the expression i.e. "BC equals AC times CE all over CD" will help Eshaal to determine the length of segment BC.

Keywords: segment, pyramid, triangle

Learn more about similar triangles from brainly.com/question/2835723

#learnwithBrainly

7 0
3 years ago
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Step-by-step explanation:

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Substitute:

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Step-by-step explanation:

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