Joe bought two new compact discs and three used compact discs for $54 at the same prices Susan bought three new compact discs and one used compact discs for $53 find the cost of buying a new and used compact disc

The Price after Mark up will be $141.3945.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The product is to be marked up 17%.

Its current price is $120.85.

Now, the Price after marked up is

= 120.85 + 17% of 120.85

= 120.85 + 20.5445

= $141.3945

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Answer:

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)

Step-by-step explanation:

Given parameters.

\(TU = 4\sqrt 5\)

\(SU = 4\sqrt 2\)

\(ST = 4\sqrt 3\)

Required

Determine \(\cos(T)\)

Reference to \(\angle T\), we have:

\(Opposite = 4\sqrt 2\)

\(Adjacent = 4\sqrt 3\)

\(Hypotenuse = 4\sqrt 5\)

Apply trigonometry ratio of cosine

\(\cos(T)\) \(= \frac{Adjacent}{Hypotenuse}\)

Substitute values for Adjacent and Hypotenuse

\(\cos(T)\) \(= \frac{4\sqrt 3}{4\sqrt 5}\)

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}\)

Rationalize:

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}\)

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)

Answer:

16 ft by 22 ft

Step-by-step explanation:

The Area of the carpeting she must have = 352 ft²

To solve for this, we have:

Length × Width = Area of a rectangle

352ft² = Length × Width

352ft² = (20 - x) (26 - x)

352 = 520 - 20x - 26x + x²

352 = 520 - 46x + x²

Collect like terms

x² - 46x + 520 - 352

x² - 46x + 168

We factorise

x² - 4x - 42x + 106

(x² - 4x) -(42x + 106)

x(x - 4) -42(x - 4)

(x - 4)(x - 42)

x - 4 = 0, x = 4

x - 42 = 0, x = 42

We choose the least value for x

Hence, x = 4

Length = 20 - 4 = 16ft

Width = 22- 4= 22ft

The dimensions the rug should have is 16ft by 22 ft, meaning 16ft wide and 22ft long

Answer:

please can u give full question

Answer:

Step-by-step explanation:

Use Pythagorean to verify:

As we see the equation is not true, so the answer is no

Let's use Pythagorean theorem to verify

\(\\ \sf\longmapsto H^2=P^2+B^2\)

\(\\ \sf\longmapsto 5^2=4^2+2^2\)

\(\\ \sf\longmapsto 25=16+4\)

\(\\ \sf\longmapsto 25\neq 20\)

Not a right triangle

Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

Answer:

one elven? do you mean eleven? if so, the answer is 11.00900 hope this helps

Step-by-step explanation:

Answer:

11.091000

Step-by-step explanation:

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

x = 13 or x = 1

Step-by-step explanation:

To solve the equation (x - 7)^2 = 36, we can take the square root of both sides:

(x - 7)^2 = 36

sqrt((x - 7)^2) = sqrt(36)

x - 7 = ±6

Solving for x, we get:

x - 7 = 6 or x - 7 = -6

x = 13 or x = 1

Therefore, the values of x that satisfy the equation are x = 13 and x = 1. The values x = -29 and x = 42 do not satisfy the equation.

The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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Answer:

63 students

Step-by-step explanation:

84*75%=63

Answer:

768

Step-by-step explanation:

Volume is base times height. To find the base, we can see that it is a triangle. Sure! 8 times 12 would be 96, and divide that by 2 to get 48. That would be the area of the triangle.

To find the volume, all we need to do is multiply by 16. 48 times 16 is 768.

Answer:

B is the correct answer darling

Step-by-step explanation:

don't doubt yourself :)

have a lovely day <3

Answer:

B

Step-by-step explanation:

\(\dfrac{-1}{5}(30x-10)=15\\\\ \dfrac{-1}{5}*30x -10* \dfrac{-1}{5}=15\\\\-6x + 2 = 15\)

Answer:

80,4856

Step-by-step explanation:

good day godpkmlkjoi I need more characters

Answer:

24

Step-by-step explanation:

i did 4x6

4x6=24

the reason i did this is because that is how i do this the rest of the class has their fancy diagrams and are being hyponthageese and not listening to me to find that it is the easiest way to find the answer

In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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Answer:

\(C)\:\:\frac{\sqrt 2}{ 2 } \)

Step-by-step explanation:

\( \sin \bigg( \frac{3\pi}{4} \bigg) \\ \\ = \sin \bigg( \pi - \frac{\pi}{4} \bigg) \\ \\ = \sin \bigg(\frac{\pi}{4} \bigg) \\ \\ = \frac{1}{ \sqrt{2} }\\\\= \frac{\sqrt 2}{ 2 }\)

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

many solutions

Step-by-step explanation:

3×2k=????

3×5=??

6×k=??

6×4=??

then put all those together in a 2 step equation and then add 9 to the answer

The equation 3(2k-5)=6(k-4)+9 has infinitely many solutions.

Two or more expressions with an Equal sign is called as Equation.

3(2k-5)=6(k-4)+9

In the given equation k is the variable

Now apply distributive property to the RHS and LHS wherever it is required

6k-15=6k-24+9

6k-15=6k-15

Shift all terms to one side

6k-15-6k+15=0

0=0

Hence the equation 3(2k-5)=6(k-4)+9 has infinitely many solutions.

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Answer:

D.The slope of the relationship between first floor square footage and price is more steep for homes near the beach than elsewhere in Tampa

Step-by-step explanation:

We can see from the output that was run in this regression that this variable has a positive coefficient. So the result is going to be interpreted to show an increase. Therefore d is the answer as it shows that these homes which are closer to the beach are steeper compared to those that are in other areas of tampa. It's necessary to always look out for the signs of the coefficient when interpreting a regression result

The probability of player 1 winning each comparison is 0.5, since each player has an equal chance of holding the higher number.

Probability is the measure of the likelihood that an event will take place. It is a quantitative description of an event's chances of occurring and is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. Probability is used to make predictions and assess risk in many different areas, including finance, weather forecasting, game theory, insurance, and science. Probability theory is a branch of mathematics that deals with the analysis of random phenomena and is used to calculate the likelihood of various outcomes.

Therefore, the probability of player 1 winning a total of i comparisons is given by P(X = i) = (0.5)^i * (0.5)^(5-i) = (0.5)^5.

Therefore, P(X = i) = (0.5)^5 for all i = 0,1,2,3,4.

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Answer:

10 lol..................

Answer:

It should be 7.4

Step-by-step explanation:

Answer:

D. x+10

Step-by-step explanation:

-2x² - 16x +40 = -2(x²+8x -20) = -2(x+10)(x-2)

Miranda has $130 of discretionary income per month after all her needs are met with the list above. The answer is option D.

To calculate Miranda's discretionary income, we need to first add up her expenses:

$60 + $85 + $195 + $55 + $575 = $970

Next, we need to calculate her monthly income.

Since Miranda gets paid semi-monthly, we'll need to multiply her paycheck amount by 24 (the number of pay periods in a year) and divide by 12 (the number of months in a year):

$550 x 24 / 12 = $1,100

Now we can calculate her discretionary income by subtracting her expenses from her income:

$1,100 - $970 = $130

Therefore, Miranda has $130 of discretionary income per month after all her needs are met with the list above. The answer is option D.

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Answer:390

Step-by-step explanation:

500*.22=110

500-110=390

390

Answer:

390

Step-by-step explanation:

22% of 500 is 110 so that would make the answer 390 i think

The company sales in year 14, given the rate of increase and the amount made in sales would be C $3,656,872.

In the first year, the sales of the company were $ 475, 000 and this sales is scheduled or predicted to grow at 17 %.

This means that the company sales in year 14 would be :

= Initial sales x ( 1 + rate ) ^ number of years

Initial sales = $ 475, 000

Rate = 17 %

Number of years = 14 years

The company sales in year 14 is:

= 475, 000 x ( 1 + 17 %) ¹⁴

= $3, 656, 872

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Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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