The equation y= 3x relates the number of points resulting from three-point baskets.
What is the constant of proportionality in this equation?
A.1
B.3
C.x
D.y

The amount of sales tax in dollars is $3.25.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given that,

An item has a listed price of $65 and the sales tax rate is 5%.

Listed price of an item = $65

Rate of sales tax = 5%

To calculate the amount of sales tax, we have to calculate the amount of 5% of the listed price which is $65.

Amount of sales tax = 5% of $65

                                 = 5% × 65

                                 = (5/100) × 65

                                 = 0.05 × 65

                                 = 3.25

Hence the amount of sales tax for the item is $3.25.

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Answer:

The answer C

Step-by-step explanation:

Answer: The phrase is "The time it takes to read a book depends on the number of pages in the book"

so the time is the dependent variable and the pages are the independent variable.

Then you will have a function of the form Time(pages) in which you introduce a number of pages (the total number of pages in a book, in this case) and returns the time it takes to read them all. So the correct answer is A.

Answer:

We know that Kevin moved at a constant speed, so his movement can be model by:

[tex]d=st[/tex]

Where [tex]d[/tex] is distance, [tex]s[/tex] is speed and [tex]t[/tex] is time.

So, we can find the speed first, to then find the expression of the distance at any time:

[tex]s=\frac{d}{t}=\frac{\frac{3}{4}mi}{12min}\\s=\frac{3}{48}mi/min\\s=\frac{1mi}{16min}[/tex]

The ratio of his movement is 1 miles each 16 minutes.

Then, the distance at any minute would be:

[tex]d=\frac{1}{16}t[/tex]

This expression model the entire movement of Kevin, because it gives the distance he traveled at any minute.

For example, the first minute, Kevin covered a distance of:

[tex]d=\frac{1}{16}(1)=0.063 miles[/tex]

So, we could say that he travels 0.063 miles per minute.

Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.

When the composition of a mixture is not constant throughout the mixture, the mixture is said to be heterogeneous. A variety of ingredients make up vegetable soup. Each mouthful of soup will have variable proportions of the soup's various veggies and other ingredients.

Given that the ingredients are visible and diverse, it is unmistakably cereal. The remaining choices, whether they be mixes or natural components, are homogenous since the contents blend well.

Because it contains a variety of unbalanced ingredients like flakes, berries, and clusters, cereal is a wonderful illustration of a heterogeneous mixture. A homogeneous mixture is one in which the constituent parts are thoroughly combined, as seawater.

Thus, Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.

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The length of a rectangle is 33 inches.

The rectangle is a 2D shape having four sides and the opposite sides of the rectangle are equal and parallel. The sum of all angles of the rectangle is 360°.

We have,

The perimeter of the rectangle = 88 inches

And,

The length is 2 inches more than the width.

Now, Let,

Width of the rectangle = a

So,

Length of the rectangle = 3a

Now,

Using the formula of the perimeter of the rectangle,

i.e.

The perimeter of the rectangle = 2(Length + Width)

Now,

According to the question,

i.e.

88 = 2( 3a + a)

i.e.

8a = 88

We get,

a = 11,

i.e.

Width of the rectangle = a = 11 inches

So,

Length of the rectangle = 3a = 3 * 11 = 33 inches

Hence, we can say that the length of a rectangle is 33 inches and the width of the rectangle is 11 inches.

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Answer:

The sales price is $31.49

Step-by-step explanation:

If the toaster has a marked down of $8.50 means that is a discount and you need to subtract this value from the originally costing, as follows:

Sales price = Original cost - Discount value

Sales price = [tex]39.99-8.50[/tex]

Finally, the sales price is $31.49

To find the measure of angle MNQ, we can set up an equation using the fact that ray NP is an angle bisector. Solving the equation gives us the value of x, and substituting that value back into the equation gives us the measure of angle MNQ.

To find the measure of angle MNQ, we can use the fact that ray NP is an angle bisector of angle MNQ. This means that angle PNQ is half of angle MNQ.

We are given that angle PNQ = 2x + 1, so we can set up the equation 2x + 1 = (1/2)(x^2 - 10) to find the value of x.

Solving this equation, we get x = 5. Therefore, the measure of angle MNQ is 5^2 - 10 = 15 degrees.

Answer:

The mass of a pencil is 3.295 greater than the mass of the crayon.

Step-by-step explanation:

Consider the provided information.

The mass of a pencil is 5.44 g. The mass of a crayon is 2.145 g.

We need to find how much greater is the mass of the pencil than the mass of the crayon?

To find this simply subtract the mass of a crayon from mass of a pencil.

5.44-2.145

This can be written as:

5.440

-2.145

3.295

Hence, the mass of a pencil is 3.295 greater than the mass of the crayon.

The mass of the pencil is 3.295 grams greater than the mass of the crayon.

To find out how much greater the mass of the pencil is compared to the crayon, we need to subtract the mass of the crayon from the mass of the pencil.

Mass of the pencil = 5.44 g

Mass of the crayon = 2.145 g

Mass difference = Mass of the pencil - Mass of the crayon

= 5.44 g - 2.145 g

= 3.295 g

Therefore, the mass of the pencil is 3.295 grams greater than the mass of the crayon.

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The value of [tex]w[/tex] is [tex]24[/tex].

Given:

The equation is:

[tex]1000^8=10^w[/tex]

To find:

The value of [tex]w[/tex].

Explanation:

We have,

[tex]1000^8=10^w[/tex]

[tex](10^3)^8=10^w[/tex]

[tex]10^{24}=10^w[/tex]         [tex][\because (a^m)^n=a^{mn}][/tex]

On comparing the exponents of the same bases, we get

[tex]24=w[/tex]

Therefore, the value of [tex]w[/tex] is [tex]24[/tex].

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Using the equation for distance, which is the product of rate and time, the distance to Grandmother's house is calculated to be 234 miles.

To solve this problem, you can use the given equation

               d = rt,

where d stands for distance,

r indicates rate (or speed), and

t is the time.

In the question, the rate is given as 52 mi/hr and the time as 4.5 hr.

Substituting these values into the equation gives:

             d = 52 mi/hr * 4.5 hr = 234 mi.

So, Grandmother's house is 234 miles away.

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To multiply square roots, you multiply the numbers under the root (the radicands) and then take the square root of that result. So, square root of 6 multiplied by square root of 2 equals the square root of 12.

The student's question requires multiplication of square roots. When multiplying square roots, we multiply the numbers under the roots (i.e., the radicands) and then compute the square root of that result.

So, to solve √6 * √2, we multiply the radicands (6 * 2) to get 12. Hence, √6 * √2 = √12. In some cases, we can simplify this further by factoring the radicands into the product of two numbers, where one of those numbers is a perfect square. However, 12 is already a simplified form, so the final answer will be √12.

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Answers are 2, 3, and 4 on    e d g e n u i t y

the answer is 3 1/8!

sorry if this is really late,,, hope this helps <3

Answer:

43.2 in

Step-by-step explanation:

I took it

If rectangular shaped desk has a length of 25 inches and a width of 18 inches. A desk with a similar shape has a length of 60 inches. then its width will be 43.2 inches.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

A rectangular shaped desk has a length of 25 inches and a width of 18 inches

A desk with a similar shape has a length of 60 inches. x is the width of this desk

We need to find the value of x.

Let us formulate a equation.

25/18=60/x

Apply cross multiplication

25x=18(60)

25x=1080

Divide both sides by 25.

x=43.2

Hence if  a desk with a similar shape has a length of 60 inches it will have 43.2 inches of width.

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The lengths are 12 m, 16 m, and 20 m.

In a right triangle, the hypotenuse is the longest aspect, an "contrary" aspect is the one throughout from a given attitude, and an "adjacent" aspect is subsequent to a given perspective.

The hypotenuse is opposite to the right perspective and may be solved by means of using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c². To clear up for c, take the rectangular root of both aspects to get c = √(b²+a²).

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There are four questions related to this: how many number of ways are there to award the prizes if:

a)      There are no restrictions?  If k unalike awards are there for n people and no person can get more than one prize then there are: This leads to 100 × 99 × 98 × 97 = 94109400100 × 99 × 98 × 97 = 94109400 ways in your case where n=100 k=4.

b)The person holding ticket 47 wins the grand prize? After handing out the grand prize there are k=3 different rewards left for n = 99 persons. Apply the same formula. Answer: 941094941094

c)  The person holding ticket 47 wins one of the prizes? 4 times case because there are 4 likelihoods when it comes to the rewards that can be won by person 47. Answer: 37643763764376 

d) The person holding ticket 47 does not win a prize? k=4 and n =99. Person 4747 is left out. Answer: 9034502490345024 

e) The person holding ticket 19 and 47 both wins prize? First gave out a prize to 47. There are 4 possibilities. Then give out a prize to 19. There are 3 likelihoods. Then the other prizes are gave out: k=2 and n=98. Lastly you come to 4 × 3 × 98 × 97 =1140724 × 3 × 98 × 97 = 114072 possibilities.

Answer:

523.33 cubic inches

Step-by-step explanation:

Answer:

<−10

Step-by-step explanation:

Using the Pythagorean theorem and defining the shorter leg as 'x', we solve the equation x² + (x + 3)mm² = (x + 6)mm² to find that the shorter leg is 9 mm, the longer leg is 12 mm, and the hypotenuse is 15 mm.

To solve for the lengths of the sides of a right triangle when given the difference in length between the legs and the hypotenuse, we can use the Pythagorean theorem, which states that for a right triangle with legs 'a' and 'b', and hypotenuse 'c', the relationship is a² + b² = c².

Let's define the length of the shorter leg as 'x'. According to the problem, the other leg is 'x + 3 mm' (3 millimeters longer than the shorter leg), and the hypotenuse is 'x + 6 mm' (6 millimeters longer than the shorter leg).

Applying the Pythagorean theorem, we get the equation:

x² + (x + 3)mm² = (x + 6)mm²

Expanding the squares and solving for 'x', we get:

This means the shorter leg is 9 mm, the longer leg is 9 mm + 3 mm = 12 mm, and the hypotenuse is 9 mm + 6 mm = 15 mm.

x+1 is not a factor of f(x).

A polynomial can be factored and its roots can be discovered using the factor theorem. The polynomial remainder theorem is a special instance of this one. A polynomial f(x) has a factor (x-a), as was mentioned in the introduction, if and only if f(a) = 0.

Given:

ƒ(x) = 2x³ – 9x² + 13x – 6.

if x+1 is factor of 2x³ – 9x² + 13x – 6.

So, x= -1.

Then, 2x³ – 9x² + 13x – 6.

f(-1) = 2(-1)³ – 9(-1)² + 13(-1) – 6.

f(-1)= -2 - 9 - 13 - 6

f(-1) = -33.

Hence, x+1 is not a factor of f(x).

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