The store buys a keyboard for $35 and sells it for $61.25. What percentage was the markup?

3(p + 2) = 18

3p + 6 = 18

3p = 12

p = 4

Check:

3(p + 2) = 18

3(4 + 2) = 18

3(6) = 18

18 = 18

This proves that p = 4.

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Answer: p = +4

Step-by-step explanation: To solve this equation for p, our first step is to distribute the 3 through the parentheses on the left side.

3 times p is 3p and 3 times 2 is 6.

So we have 3p + 6 = 18.

Next, we need to isolate the p term by subtracting 6 from both sides of the equation to get 3p = 12.

Finally, we divide both sides of the equation by 3 to get p = +4.

The perimeter of frame is 1.29 greater

Step-by-step explanation:

Perimeter of a rectangular shape object is given by the formula;

2(l+w) when, l is length and w is width

Perimeter of the photo is;

2(8+6)= 2(14) =28 inches

Perimeter of the frame is;

2(10+8)= 2(18) =36 inches

Divide perimeter of frame by that of photo as;

36/28 =1.29

The perimeter of frame is 1.29 greater

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Answer: About 0.8034 of the items will be classified as good.

Step-by-step explanation:

Let's first understand that because 13% of the items are defective, that means 87% of the items are not defective. And because the inspector incorrectly classifies the items 9% of the time, it's important to understand that that means both the defective and the not defective items may be incorrectly classified. In order to figure out what proportion will be classified as 'good,' let's set up a tree diagram:

--0.13--defective

            |__0.09__ classified as 'good'

            |__0.91__ classified as 'defective'

--0.87--not defective

           |__0.09__ classified as 'defective'

           |__0.91__classified as 'good'

This chart essentially reiterates the information in the prompt, showing that 9% of each type of item will be incorrectly classified. Now we need to find the proportion of items that will be classified as 'good.' To do this, we must multiply the proportion of items classified as 'good' by the proportion of items that are either defective or not defective for both types, like this:

(0.13 * 0.09) + (0.87 * 0.91)

this expression in words means: "13% of the items will be classified as good 9% of the time, and the other 87% of the items will be classified as good 91% of the time"

When we multiply and add these numbers together, we get 0.8034, but you should round to 2 or 3 decimal places like the prompt instructs. Hope this helped! :)

Answer:

Figure B

Step-by-step explanation:

Circumference of a circle is simply the length of the boundary of the circle which can be measured by the formula of [tex]2\pi r[/tex]

In the figure B the given radius in the figure is 5

Putting 5 in the formula to find the circumference of the circle gives

                   [tex]2\pi *r[/tex]

                = [tex]2*3.14*5[/tex]                                                :                  [tex]\pi =22/7=3.14[/tex]  

           Circumference of the circle in fig B = 31.4 cm

So, Circle in the figure B will have the circumference of 31.4 cm. Also the Circumference of the fig A, C and D are different and are not equal to 31.4 cm

Answer:

3/8 and 1/5

Step-by-step explanation:

If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.

hope this helped :)

Answer:1/5 and 3/8

Step-by-step explanation:

Step-by-step explanation:

The flipped formula would be:

[tex]C = \frac{5}{9} (F - 32) \\ [/tex]

Answer:

2

Step-by-step explanation:

If one bag of stones is sufficient to fill the distance of 4 yards , then to complete 5.5 yards of pond boundary, 2 bags are enough.

Distance is a physical quantity measuring the length over an area covered by an object or place. The change in distance is called displacement. For  a moving object the distance is the product of its speed and time take to cover the distance.

Distance can be measured in meter, kilometer, feet, yard etc. These units can be interchanged in between based on the relationship between them.

It is given that the diameter of the circular fish pond is 5.5 yards. One bag of stones can fills a distance of 4 yards. of the pond. Then two bag of stones is enough  to fill  up the total distance of 5.5 yards.

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Answer:

So, Domain = {set of all the real numbers except 3, 5}

Interval notation = {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}

Step-by-step explanation:

The given function is f(x) = [tex]\frac{x^2 + 3x - 5}{x^2 - 8x + 15}[/tex]

Here we need to find the domain.

To find the domain, let's find the restricted domain.

If we set the denominator equal to zero and solve for x, we can find the restricted domain.

Here the denominator is [tex]x^2 -8x + 15 = 0[/tex]

Now we can factorize and solve for x.

(x - 3)(x - 5) = 0

(x - 3) or (x - 5) = 0

x -3 = 0  and x - 5 = 0

Solving the above equations, we get

x = 3 and x = 5

The restricted domains are x = 3 and x = 5.

Now we can find the domain.

Except 3 and 5, all the real numbers can be domain of this function.

So, Domain = {set of all the real numbers except 3, 5}

= {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}.

Answer: all real numbers except 3, 5

Step-by-step explanation:

The requried word form of the given number is forty and five hundred forty-five thousandth.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Since the given number is of decimal form.

A word form of the given number 40.545 is given as,
40.545 =  forty and five hundred forty-five thousandth.

Thus, the requried word form of the given number is forty and five hundred forty-five thousandth.

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Answer:

9x-27

Step-by-step explanation:

4(x-3)+5(x-3)=4x-12+5x-15=4x+5x-12-15=9x-27

Slope is the change in Y over the change in. X

Using two of the given points:

Slope = 70-45 / 25-10

Slope= 25/ 15

Slope = 5/3

The value of equation when n = 3 is 50

Solution:

Given equation is:

[tex](4n -2)(7-2)[/tex]

We have to find the value of equation when n = 3

By plugging in n = 3 in given equation we can find the value of given equation

Substitute n = 3 in given equation

[tex]\rightarrow (4(3) -2)(7-2)\\\\Solve\ the\ above\ equation\\\\\rightarrow (12-2)(7-2)\\\\\rightarrow (12 - 2)(5)\\\\Simplify\ the\ above\ equation\\\\\rightarrow 10 \times 5 = 50[/tex]

Thus the value of equation when n = 3 is 50

Answer:

There are many numbers like 1005, 3000, and 2700.

Step-by-step explanation:

The divisibility rule for 3 is the sum of the numbers is divisible by 3. example is 111. well 1+1+1 is 3 so its divisible by three.

The divisibility rule for 5 is any number that ends in 5 or 0.

If you have any questions feel free to ask in the comments - Mark

The expression is 436 + x = 515

The number of points they scored in the last game is 79

Step-by-step explanation:

Sally's basketball team played 6 games

We need to write an expression and calculate the number of points they scored in the last game

Assume that the score of the last game is x

∵ Sally's basketball team played 6 games

∵ The score of the first game is 76 points

∵ The score of the next two games is 88 points each

∴ The score of the 2nd game is 88 points and the score

   of the 3rd game is 88 points

∵ The score of each following two games is 92 points

∴ The score of the 4th game is 92 points and the score

   of the 5th game is 92 points

∵ The score of the 6th game is x points

- Add all of them to find the total score of the 6 games

∴ The total score = 76 + 88 + 88 + 92 + 92 + x

- Add the like terms

∴ The total score = 436 + x

∵ The team scored 515 points altogether

- Equate the expression of the total by 515

∴  436 + x = 515

- To find the value of x subtract 436 from both sides

∴ x = 79

∴ The score of the last game is 79 points

The expression is 436 + x = 515

The number of points they scored in the last game is 79

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We formulate an expression to represent the overall score of Sally's basketball team and solve for the final game's score. The outcome of the expression found that Sally's team scored 79 points in the last game.

The subject of this question is regarding basketball scoring, which falls under the subject of mathematics, specifically algebraic expressions. The first step in finding out how many points were scored in the last game by Sally's basketball team is to write an expression that represents the total points scored in all games. This could be done as follows:

76 (first game score) + 88*2 (second and third game score) + 92*2 (fourth and fifth game score) + X (sixth game score) = 515 (total score)

To resolve this expression, you first do the multiplications and then the additions. This results in the partial sum of 436 points for the first five games.

Next, subtract this partial sum from the total score (515-436), the outcome is 79.

Therefore, Sally's basketball team must have scored 79 points in the last game.

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Answer:

6

Step-by-step explanation:

Base = 4 in

Height = 3 in

Area= 1/2 Base * Height

Area = 1/2 * 4 * 3

Area = 1/2 * 12

Area = 6

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

I hope this helps you. If you can give brainliest that would be greatly appreciated.

Answer:

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

look at picture

Answer:

Step-by-step explanation: It B

-3 + 3 = 0

1. distributive property

2. combine like terms

3. addition property of equality

4. division property of equality

Given that,

Kelsey solved the following equation:

[tex]7x - \frac{1}{2}(8x+2) = 6[/tex]

By distributive property,

a(b + c) = ab + bc

Therefore,

[tex]7x - (\frac{1}{2} \times 8x)+( \frac{-1}{2} \times 2)= 6\\\\7x - 4x - 1 = 6[/tex]

Combine the like terms

7x - 4x - 1 = 6

3x - 1 = 6

Addition property of equality

The property means that when we add the same number to both sides of an equation, the sides remain equal

3x - 1 = 6

Add 1 on both sides

3x - 1 + 1 = 6 + 1

3x = 7

Division property of equality

The Division Property of Equality means that when we divide both sides of an equation by the same non zero number, the sides remain equal

3x = 7

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{7}{3}\\\\x = \frac{7}{3}[/tex]

Thus the correct justifications Kelsey used to solve this equation is:

1. distributive property. 2. combine like terms. 3. addition property of equality. 4. division property of equality

Answer:

I took the test it is  1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Answer:

0.4485

Step-by-step explanation:

2.99 times 0.150 = 0.4485

Answer:

  Evaluate the expression 1/3(4+18) -2 squared

Step-by-step explanation:

First of all we will add brackets to understand the question as:

= ((1/3) * (4+18) - (2 squared))

= ((1/3) * ( 22) -  2² )

According to Math's rule that Multiplication and division must be completed before addition and subtraction.

=  (( 1/3 * 22) - 4 )

= (( 7.33) - 4 )

= ( 7.33 - 4 )

= 3.33

3.33 is the correct answer.

Question:

A drink dispenser in a fast-food restaurant holds 250 litres of lemonade. How many 0.6-litre drinks can be dispensed before a refill is needed?

Answer:

The number 0.6-litre drinks can be dispensed before a refill is needed is 416

Step-by-step explanation:

Given:

The capacity of the drink dispenser =  250 litres

To Find:

Number of  0.6-litre drinks can be dispensed before a refill is needed = ?

Solution

Let the number of  0.6-litre drinks can be dispensed before a refill is needed be x

Then

[tex]x = \frac{ \text{total capacity of the dispenser}}{\text{0.6-litre drinks}}[/tex]

On substituting the values we get

[tex]x = \frac{250}{0.6}[/tex]

x  =  416. 667

Thus only 416 can be filled

The inequality that represent age of marcus is:

[tex]24\geq 6+m\geq 9[/tex]

The possible values for age of Marcus is:

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Solution:

Given that,

The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years

Kevin is 6 years old

Let "m" be the age of Marcus

Thus we frame a inequality as:

[tex]24\geq \text{ sum of ages } \geq 9[/tex]

at least 9 years means that "greater than or equal to 9"

at most 24 years means "less than or equal to" 24

From given,

Sum of ages = kevin age + marcus age

Sum of ages = 6 + m

Thus the inequality is:

[tex]24\geq 6+m\geq 9[/tex]

Solve the inequality

[tex]\mathrm{If}\:a\ge \:u\ge \:b\:\mathrm{then}\:a\ge \:u\quad \mathrm{and}\quad \:u\ge \:b\\\\24\ge \:6+m\quad \mathrm{and}\quad \:6+m\ge \:9\\\\Solve\ them\ separately[/tex]

[tex]24\ge \:6+m\\\\\mathrm{Switch\:sides}\\\\6+m\le \:24\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\le \:24-6\\\\\mathrm{Simplify}\\\\m\le \:18[/tex]

Now solve another inequality

[tex]6+m\ge \:9\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\ge \:9-6\\\\\mathrm{Simplify}\\\\m\ge \:3\\\\\mathrm{Combine\:the\:intervals}\\\\m\le \:18\quad \mathrm{and}\quad \:m\ge \:3\\\\\mathrm{Merge\:Overlapping\:Intervals}\\\\3\le \:m\le \:18[/tex]

[tex]24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}[/tex]

Thus possible values for age of Marcus is:

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Answer:

73-3=70

70-20=50

50-24=26

To solve 73-26, subtract 3 from 73 to get 70. Then, subtract a number from 70 to get 50. The missing number is 20.

To solve the equation 73-26, we can subtract it step by step. The first step is to subtract 3 from 73, which equals 70. The next step is to subtract a number from 70 to get 50. To find that number, we subtract 50 from 70, which is 20. So, the missing number is 20.

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Step-by-step explanation:

[tex]4 \sqrt{2} = \sqrt{ {4}^{2} \times 2} = \sqrt{16 \times 2} = \sqrt{32} [/tex]

Answer:

16

Step-by-step explanation:

bruh, it's right there

Answer:

16

Step-by-step explanation:

it's the fourth number in the pattern

Answer:

True because a right angle can't exist with any parallel lines.

Answer:

true hope this helped.

Step-by-step explanation:

Answer:

a+2b²-b (correct order is 2b²+a-b)

Step-by-step explanation:

combine like terms ( terms with the same variable and are to the same power) so thats 5b² and -3b² and 2a and -a. the -b doesnt have any like terms so leave that alone for now. combine like terms 5b²-3b² is 2b² and 2a-a is a. so you have 2b²+a and plug in the -b so you get 2b²+a-b.

Answer:

a-b+2b^2

Step-by-step explanation:

collect like terms

2a-a-b+5b^2-3b^2

a-b+2b^2

Answer:

A). $5.50

B).19.50

Step-by-step explanation:

A).  3.5(1)+2=5.50

B).  3.5(5)+2=19.50

All you are are doing is inputing the number of games played (x) in for x in the function/equation.

Answer:

a|| b then

<6=<4=<2=146