A store buys a jacket for $20.00 then sells it to customers 80% more than that what is he selling price of the jacket

Answer:

The answer is A

Step-by-step explanation:

(the product of one-fourth and a number plus seven)

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is D, the product of one-fourth and a number plus seven.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

2x + 3 is an example of a variable mathematical expression. Every variable must have a coefficient, which is a number multiplied by the variable. The coefficient of x in the formula 2x + 3 is the number 2, and it signifies 2 times x plus 3.

The given algebraic expression 1/4d+7 can be represented as a phrase as the product of one-fourth and a number plus seven.

Hence, the phrase that represents the algebraic expression 1/4d+7 is the product of one-fourth and a number plus seven.

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Answer:

[tex]\frac{4}{5}[/tex] of Steph's annual income is from her full-time job.

Step-by-step explanation:

Suppose, Steph's annual income is  [tex]x[/tex]

Given that, 80% of Steph's annual income is from her full-time job.

So, the amount of income from her full time job will be:  [tex](x\times 80\%)= (x\times\frac{80}{100})= 0.8x[/tex]

Now, for finding the income from her full time job as a fraction of Steph's annual income, we just need to divide "income from full time job" by "total annual income".

So, the fraction will be:  [tex]\frac{0.8x}{x}= 0.8 =\frac{8}{10}= \frac{4}{5}[/tex]

That means,  [tex]\frac{4}{5}[/tex] of Steph's annual income is from her full-time job.

Answer:

4.5 is the answer.

Step-by-step explanation:

80% is fraction form is 80/100 to simplify that it becomes 4/5. Therefore, the answer is 4/5

Answer:

Step-by-step explanation:

Area = 1/2 × base × height

Base(b) = 7 feet

Height(h) = 12 feet

Area = 1/2 × 7 × 12 = 7 × 6 = 42 feet²

Final answer:

Gabe needs to give 25 hours of piano lessons in a month to earn a profit of $326, calculated by setting up an equation that factors in his earnings per hour and the monthly cost of renting the piano.

Explanation:

To find out how many hours of lessons Gabe must give to earn a profit of $326, we need to set up an equation that represents his earnings and costs. Given that Gabe earns $15 per hour giving piano lessons, and his fixed cost for renting the piano is $49 per month, we can create the following equation:

Profit = (Earnings from lessons) - (Cost of renting the piano)

Let h represent the number of hours he teaches. His earnings from giving lessons would be 15h (because he earns $15 for each hour of lessons). The cost of renting the piano is a fixed $49 per month. Therefore, we have:

Profit = (15h) - 49

To make a profit of $326, we substitute this into the equation:

326 = (15h) - 49

Now we solve for h to find out how many hours he needs to teach:

326 + 49 = 15h

375 = 15h

h = 375 / 15

h = 25

Gabe needs to give 25 hours of lessons in a month to earn a profit of $326.

Answer:

$48.66

Step-by-step explanation:

Answer:

[tex]9.67[/tex] per hour

Step-by-step explanation:

Rate per hour can be calculated by sing following equation,

Rate per hour = Total amount paid / Total number of hours worked

By substituting values to the above equation we can get the  rate per hour,

Rate per hour = [tex]\frac{232}{24}[/tex] per hour

                       = [tex]9.67[/tex] per hour

3. definition of supplementary angles

5. defintion of congruency

6. substitution (refer to statements 3 and 5)

Answer:

Average temperature at night -140°C.

Step-by-step explanation:

To find the average temperature at night we have to deduct the drop in temperature from the average temperature at noon.

Average temperature at night = Average temperature at noon - drop in temperature.

                                                  =112°C -  252°C

                                                  = -140°C

The average temperature on the moon's surface at night is -140 degrees Celsius, as calculated by subtracting the temperature drop at night (252 degrees Celsius) from the daytime temperature (112 degrees Celsius).

Your question involves finding out the average temperature on the Moon's surface during the night. The temperature on the Moon at noon is 112 degrees Celsius. However, the temperature drops by 252 degrees Celsius at night. To find the temperature at night, you subtract the drop in temperature from the daytime temperature.

So, let's do the calculation: 112 degrees Celsius (noon temperature) - 252 degrees Celsius (temperature drop) = -140 degrees Celsius. Therefore, the average temperature on the Moon's surface during the night is -140 degrees Celsius.

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Answer: Upper left corner

==============================================================

Further Explanation:

The piecewise function is broken down into three parts which I'll refer to as A, B and C (moving down the rows).

Part A is y = -4 but only if x is -3 or smaller. Points on this line include (-3,-4), (-4,-4), (-5,-4), etc. Basically any point where the y value is -4, and the x value is -3 or smaller.

Part B of this piecewise funciton is exactly one point which is (2,0). We plot y = 0 but only when x = 2.

Finally, part C is the horizontal line through y = 3 but we only graph this line if x is larger than 2. Two points on this line are (2,3) and (3,3). The point (2,3) is an open circle because of the fact that x > 2. So x = 2 is not allowed for this piece.

Put this all together, and you get the graph shown in the upper left corner as the final answer.

Note: the bottom left corner is very close to the proper answer, but the presence of an open hole at (-3,-4) is why this is not the actual answer. We are including this point as part of the first piece. This point is included because of the "or equal to" as part of the inequality.

Step 1: reflected across the line y=x

Step 2: reflected across the x axix

Since all 3 shapes are still the same size and shape:

Because the transformations are both rigid , the pre-image and image are congruent

Answer:

It will take 4.5 hours for Naomi and Clair to paint an equal number of square feet

Explanation:

 Let the time in hour it will take for Naomi and Clair to paint an equal number of square feet be t hours.

Naomi paints 16.5 square feet of a mural at a rate of 2 square feet per hour, so after t hours the are painted by Naomi = 16.5 + 2 * t

Clair paints 7.5 square feet of the mural at a rate of 4 square feet per hour, so after t hours the are painted by Clair = 7.5 + 4 * t

We know that after hours the area painted by them are equal, so we have

           16.5 + 2 * t = 7.5 + 4 * t

            2 * t = 16.5 - 7.5 = 9

                t = 4.5 hours.

  So it will take 4.5 hours for Naomi and Clair to paint an equal number of square feet.                          

If Naomi and Clair continue to paint at their current rates, it will take approximately 4.5 more hours for both to have painted an equal amount of the mural.

First, let's calculate how much Naomi and Clair have already painted. Naomi has painted 16.5 square feet and Clair has painted 7.5 square feet. Now, calculate the difference which is 9 square feet.

Every hour, Naomi paints 2 square feet and Clair paints 4 square feet. However, since Clair needs to catch up by 9 square feet, we need to consider the extra square feet Clair paints per hour, which is 2 (4 - 2).

So, to find out how many more hours it will take for them to paint an equal number of 2 square feet, simply divide the difference (9 square feet) by the extra square feet Clair paints per hour (2). So, it would take Clair 4.5 more hours to paint an equal amount of mural to Naomi.

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parrotfish:clownfish

4:3

20:x

4 times 5 = 20

multiply 3 by 5 to keep the same ratio. =>   3 times 5 equals 15. therefore there are 15 clownfish.

hope I helped! (:

[tex]-\dfrac{2}{3}\left(2x-\dfrac{1}{2}\right)\leq\dfrac{1}{5}x-1\ \ \ \ \text{use distributive property}\\\\-\dfrac{4}{3}x+\dfrac{1}{3}\leq\dfrac{1}{5}x-1\ \ \ \ \ |\cdot15\\\\-5(4x)+5\leq3x-15\\\\-20x+5\leq3x-15\ \ \ \ \ |-5\\\\-20x\leq3x-20\ \ \ \ |-3x\\\\-23x\leq-20\ \ \ \text{change the signs} \\\\23x\geq20\ \ \ \ \ \ |:23\\\\\boxed{x\geq\dfrac{20}{23}}\to x\in\left[\dfrac{20}{23},\ \infty\right)[/tex]

Answer:

Reactive power is 1.152 VARs

Step-by-step explanation:

We are given that in a parallel circuit,[tex]E_{T}=240V[/tex],R=47kΩ and [tex]X_{L}[/tex]=50kΩ.

reactive power means the dissipating power resulting from inductive and capacitive loads measured in volt-amperes reactive(VAR).Since our circuit has inductor only, reactive power will be power dissipated from inductor.

Current through inductor=[tex]\frac{E_{T}}{X_{L}} =\frac{240}{50}=4.8[/tex]milli amps=0.0048 A

Reactive power = (current flowing through inductor)X (Voltage across inductor)

Hence reactive power = 0.0048 X 240=1.152 VARs

[tex]x^2 + 2x - 15=\\\\x^2-3x+5x-15=\\\\x(x-3)+5(x-3)=\\\\(x+5)(x-3) \Rightarrow \text{D}[/tex]

[tex]2y-3 > -1\ \ \ \ |\text{add 3 to both sides}\\\\2y > 2\ \ \ \ |\text{divide both sides by 2}\\\\y > 1\\\\5-y > 4\ \ \ \ |\text{add y to both sides}\\\\5 > 4+y\ \ \ \ |\text{subtract 4 from both sides}\\\\1 > y\to y < 1[/tex]

Answer: d.   (all real numbers without 1).

Since the x axis represents the number of pen bought and the y axis the number of notebook, the total cost will be 2x+3y, because each pen costs 2$ and each notebook 3$.

You want this quantity to be no more than 30, so you must ask

[tex] 2x+3y \leq 30 [/tex]

which means that the shaded area must be under the graph of the line

[tex] 2x+3y = 30 [/tex]

You can rewrite the equation as

[tex] y = -\dfrac{2x}{3} + 10 [/tex]

So, the y intercept is the point [tex] (0,10) [/tex]

So the answer must be either C or D.

To find the x intercept, set y=0:

[tex] 0 = -\dfrac{2x}{3} + 10 \iff \dfrac{2x}{3} = 10 \iff 2x = 30 \iff x = 15 [/tex]

So, the correct answer is D.

Answer:

1/6

Step-by-step explanation:

The student's question pertains to calculating fuel economy, which is found by dividing the distance traveled by the amount of fuel used. We find that the first vehicle gets 24 mpg and the second one gets 25.33 mpg. This calculation is useful for comparing vehicle efficiency and managing fuel costs.

The question involves calculating fuel economy, which is a mathematical concept generally taught in high school Algebra or Applied Math classes. Fuel economy is calculated by dividing the distance traveled by the amount of fuel used. For example, for the first vehicle that traveled 96 miles on 4 gallons, the fuel economy is calculated as follows:

Divide the total miles by the gallons used: 96 miles / 4 gallons = 24 miles per gallon (mpg).

Similarly, for the second vehicle that traveled 380 miles on 15 gallons, we calculate fuel economy like this:

Divide the total miles by the gallons used: 380 miles / 15 gallons = 25.33 mpg.

This practice of tracking fuel economy is useful for comparing the efficiency of different vehicles, as shown in the examples of the Toyota Prius and Ford Fusion hybrid. Additionally, knowing your vehicle's fuel economy and the average fuel cost can help you budget for fuel purchases more effectively

Note that point-slope equation is: (y - y₁) = m(x - x₁)

Also note that f(x) = y

Isolate the y. Subtract 7 from both sides:

y + 7 = –(x + 6)

y + 7 (-7) = -(x + 6) - 7

y = -(x + 6) - 7

Note that the equation is really: y = -1(x + 6) - 7

Distribute -1 to all terms within the parenthesis

y = -1(x + 6) - 7

y = -x - 6 - 7

Simplify. Combine like terms

y = -x - 13 ; or f(x) = -x - 13, which is none of the above.

Please check and verify your choices.

hope this helps

He product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can be used to find x, the value of the greater number. What is the value of the greater number?

Solution

Here the second number is "x"

The first number is "x - 5"

The equation is x (x - 5) = 750

[tex]x^{2}[/tex]- 5x = 750

Subtract 750 from both sides, we get

[tex]x^{2} -5x -750 =0\\[/tex]

Solving the above quadratic  equation using quadratic formula, we get

[tex]x = \frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]

Here we have to plug in  a =1, b = -5 and c = -750 in the above formula, we get

[tex]x = \frac{5 +/-\sqrt{3025} }{2}[/tex]

When we simplify the above expression is...

x = 30 and x = -25

x = -25 cannot be the solution since it is negative value.

x = 30 is the solution.

Here "x" represents the second number which is 30, that is the greater number.

Therefore, the answer is 30.

Answer:

 30

Step-by-step explanation:

You can try the answer choices to see what works.

 15·10 ≠ 750

 25·20 ≠ 750

 30·25 = 750 . . . . the larger number is 30

 50·45 ≠ 750

5(x + 3) - 9x + 4

use distributive property

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

= -4x + 19

To simplify the expression 5(x + 3) - 9x + 4, distribute 5 to the terms inside the parentheses, combine like terms, and then add the constant terms.

To simplify the expression 5(x + 3) - 9x + 4, we first distribute the 5 to both terms inside the parentheses: 5x + 15. Next, we combine like terms by subtracting 9x from 5x to get -4x. Finally, we add the constant term 15 with the constant term 4 to get 19. Therefore, the simplified expression is -4x + 19.

To simplify the expression 5(x + 3) - 9x + 4, distribute 5 to the terms inside the parentheses, combine like terms, and then add the constant terms.

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Paula = 6 video games

Myles = 1 video game + Paula(6 video games)

P + M = Total video games

M = 1 + P

P = 6

P + M = 6  + 1 = 7

Final answer:

To find the total number of video games Paula and Myles have, add Paula's 6 games to Myles's 7 games (since he has one more than Paula), which equals 13 games.

Explanation:

To find out how many video games Paula and Myles have in total, we can use a simple addition equation based on the information given. Paula has 6 video games, and Myles has 1 more video game than Paula. Therefore, we can express the number of video games Myles has as 6 games + 1 game, which equals 7 games.

Next, we add the total number of games Paula has to the total number of games Myles has:

Paula's video games: 6 games
Myles's video games: 7 games
Total video games: 6 games + 7 games = 13 games

By adding the two amounts together, we can find the total number of video games they have combined.

y < - 8  or y > 4

inequalities of the form | x | > a always have solutions of the form

x < - a or x > a

we have to solve

y + 2 < - 6 or y + 2 > 6

y + 2 < - 6 ( subtract 2 from both sides )

y < - 8

or

y + 2 > 6 ( subtract 2 from both sides )

y > 4

these can be combined using interval notation

y ∈ (- ∞, - 8 ) ∪ (4, ∞ )

As a check

substitute chosen values of x from each interval

y = - 10 :  | - 10 + 2 | = | - 8 | = 8 > 6 this is true

y = 12 : | 12 + 2 | = | 14 | = 14 > 6 which is also true

The length of the segment is 22 units

y = 11 units

The total length of the segment will be expressed as:

L = x + y

Note that x = y

Substituting into the total length

L = y + y

L = 2y

L = 2(11)

L = 22 units

Hence the length of the segment is 22 units

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The answer is y= 8x.

to help you can write it as 3-1 which is 2

ANSWER 2