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lawyer [7]
3 years ago
15

The sales tax on the model rocket shown is $1.92. What is the percent of sales tax? A drawing of a model rocket with a tag label

ed 24 dollars.
Mathematics
1 answer:
astraxan [27]3 years ago
4 0

<u><em>Answer:</em></u>

The sales tax is 8%

<u><em>Explanation:</em></u>

<u>We are given that:</u>

The price of the rocket is $24 and the sales tax is $1.92

To get the percentage of the sales tax, all we have to do is divide the sales tax by the price of the rocket and then multiply the quotient by 100 (to convert the ratio to percentage)

<u>This is done as follows:</u>

% of sales tax = \frac{tax}{price}*100

% of sales tax = \frac{1.92}{24}*100 = 8%

Hope this helps :)

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professor190 [17]
$5.25, because if you multiply $6 by 7/8(fraction form), you get $5.25
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Write the prime factorization of 21. Order the factors from least to greatest (for example, 2 × 2 × 3 × 5).
Alexus [3.1K]

Answer:

3×7

Step-by-step explanation:


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3 years ago
Identify the constant of proportionality for each direct variation below.
andriy [413]

Answer:

see explanation

Step-by-step explanation:

The equation of 2 quantities in direct proportion is

y = kx ← k is the constant of proportionality

1

y = - 4x ← in standard form

with k = - 4

2

\frac{y}{x} = 2 ( multiply both sides by x )

y = 2x ← in standard form

with k = 2

3

\frac{x}{y} = 3 ( multiply both sides by y )

x = 3y ( divide both sides by 3 )

\frac{1}{3} x = y ← in standard form

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3 0
2 years ago
Carla saw a license plate
vladimir1956 [14]

Answer:

Step-by-step explanation:

Comment

Since you make no other restrictions, the numbers can have duplicates.

9 + 9 + 2  is one possibility.

9 + 7 + 4   is another

9 + 8 + 3

and another 33 possibilities. Surely you are not expected to list them all. Three should be enough.

4 0
2 years ago
A circle has a diameter of 25cm. How far from the centre of this circle is a chord 16cm long? Draw a picture before you start.
yan [13]

Answer:

The cord is 9.6 cm away from the centre of the circle.

Step-by-step explanation:

<u>See The Image First</u>

The image below shows a picture of everything that’s given, labeled, and drawn in the circle.

<u>Description of the Picture:</u>

You can use the Pythagorean to find the what the distance (the length <em>b</em>) the cord is from the center. You can use the radius as the hypotenuse. The radius is half of the diameter, and the diameter is 25. So the radius is 12.5, which means that 12.5 is the hypotenuse of the triangle (also known as side <em>c</em>). The whole length of the cord is 16cm long, and we can use half of the cord, which is 8cm, for the triangle. So we know two sides already: the hypotenuse (the radius) and the length <em>a</em> of the triangle (half of the length of the cord).

<u>To Solve (variables </u><em><u>a</u></em><u>, </u><em><u>b</u></em><u>, and</u><em><u> c</u></em><u>, are in italics so you don’t get confused):</u>

⇒ Use the formula of the Pythagorean Theorem (a^{2}+b^{2}=c^{2}), where <em>b </em>is the length of the distance from the cord to the centre of the circle (what we need to find out), <em>a </em>is the length of the side of the triangle (half of the cord size – 8cm), and <em>c </em>is the hypotenuse (the radius – 12.5cm). So plug the given values of <em>b</em> and <em>c</em> into the formula:

a^{2}+8^{2}=12.5^{2}

⇒ Solve for <em>a </em>by simplify:

a^{2}+64=156.25

⇒ Subtract 64 from both sides:

a^{2}=92.25

⇒ Find the square root of both sides to get<em> a</em> by itself:

\sqrt{a^{2}}=\sqrt{92.25}

⇒ Simplify to get:

a=\sqrt{92.25}  which convert’s to a=9.60468635...  round the answer to the nearest tenth is a=9.6

<u />

<u>Answer:</u> The cord is 9.6 cm away from the centre of the circle.

I hope you understand and that this helps with your question! :)

8 0
2 years ago
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