A shoe store is selling a pair of shoes for $60 that has been discounted by 20%. What was the original selling price? Show your work.

The answer is y = 6.43

Answer:

y = 6.43

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan47° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{6}[/tex]

Multiply both sides by 6

6 × tan47° = y

⇒ y = 6.43 ( to 2 dec. places )

Answer:

x=4

Step-by-step explanation:

We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b we use c^2-a^2=b^2. Lets input our knowns. 5^2-3^2=x^2. Lets start solving by squaring.

25-9=x^2

Subtract

16=x^2

Take the square root

4=x

Answer:

$1444

Step-by-step explanation:

7% of 9200 = 644

644 + 800 = 1444

:)

he earned 8,301.56 last month

Answer:

  50%

Step-by-step explanation:

2/4 = (2/4)×(25/25) = 50/100 = 50%

Answer:

no

Step-by-step explanation:

median only shows the amount in the very middle. to represent how much money he makes in daily tips, he needs to find the mean (the average).

Answer:

Little close

Step-by-step explanation:

In statistics, when we have a list of entries to be analyzed we have few figures for observation. These are

Mean , median and mode.

Mean gives the average of all the entries. By average means.

Median gives you the middle most entry.

And mode gives the entry repeated the most.

As by definition we see that , median will give us approximation regarding daily data, hence jacob must consider the median to best represent the money he makes on daily basis.

Answer: B) P-a-c.

Step-by-step explanation:

The value of b is P - a - c.

Given,

The perimeter of a triangle is given by the formula P = a + b + c.

We need to solve for b.

The total length of all three sides of a triangle is called the perimeter of the triangle.

It is given by:

P = a + b + c

Where a,b, and c are the sides of the triangle.

We have,

P = a + b + c

Subtracting a on both sides

P - a = a + b + c - a

P - a = b + c

Subtracting c on both sides

P - a - c = b + c - c

P - a - c = b

We get,

b = P  - a - c

Thus the value of b is P - a - c.

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Answer:

y=6x

Step-by-step explanation:

let y be the weight of an object on the earth

let x be the weight of the same object on the moon

Since the weight of an object on earth is 6 times greater than the same thing on the moon, You must multiply the weight of something on the moon by six.

Hope this helped!

Final answer:

The algebraic expression for the weight of an object on Earth given its weight on the Moon, denoted as 'm', is 'W = 6m', where 'W' represents its weight on Earth.

Explanation:

The question is asking us to find an algebraic expression for the weight of an object on Earth given its weight on the Moon.

We know that the gravitational force on Earth is six times greater than on the Moon, which means objects weigh six times more on Earth than on the Moon.

If the weight of an object on the Moon is given as m, then the weight of the same object on Earth, W, would be W = 6m.

Answer:

the answer is:

d. 5

Answer:

d

Step-by-step explanation:

You reason this out by saying

4^x = 4^5

Since the bases are the same, the answer is x = 5

If the shapes are similar, the correspondent sides are in proportion:

[tex]AB\div DE = BC \div EF[/tex]

Let's plug the values and solve for x:

[tex]5x \div 5 = 4 \div x \iff \dfrac{5x}{5}=\dfrac{4}{x}\iff x = \dfrac{4}{x}[/tex]

Multiply both sides by x to get

[tex]x^2=4 \iff x=\pm2[/tex]

The only feasible solution, though, is [tex]x=2[/tex], because it wouldn't make sense to have negative lengths.

The value of x in the similar polygons in the given diagram is: B. x = 2.

Similar polygons have the same shape but different size, thus, the length of their corresponding sides are proportional together and have equal ratio.

In essence, we will have the following ratio:

5x/5 = 4/x

(x)(5x) = (4)(5)

5x² = 20

5x²/5 = 20/5

x² = 4

x = √4

x = 2 (option B)

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Answer:

62.5%

Step-by-step explanation:

Answer:

The amount of money A pays is [tex]\$51[/tex]

Step-by-step explanation:

Let

x-----> amount of money A pays

y-----> amount of money B pays

we know that

[tex]x+y=85[/tex] ------> equation A

[tex]\frac{x}{y}=\frac{3}{2}[/tex]

so

[tex]y=\frac{2}{3}x[/tex] ------> equation B

substitute equation B in equation A and solve for x

[tex]x+(\frac{2}{3}x)=85[/tex]

[tex]\frac{5}{3}x=85[/tex]

[tex]x=85*3/5=\$51[/tex]

Answer:

39.473%

Step-by-step explanation:

It is actually fairly simple to get the answer to this. What you can do to find any percentage, is to take the amount done, or whatever it is in the scenario, and divide it by the total. It is like turning it into a fraction, which you can do as well. Turn this into a fraction, and then convert it. 15/38, 15 divided by 38 = 39.473.

Hope this helped ^-^

To find the percentage you have done, divide the number you did by the total number you have to do:

15 / 38 = 0.3947

Multiply that by 100 to get the percentage:

0.3947 x 100 = 39.47% ( Round as needed).

Answer:

B 0 ≤x≤9

Step-by-step explanation:

The domain is the input values of the graph.  In this graph it is the values that the time variable takes.

Time can take 0 seconds to 9 seconds

0 ≤x≤9

Answer:

18.6 units

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. A diagonal can be drawn between opposite corners that splits the triangle into two equal right triangles. The distance of this diagonal is found using the Pythagorean Theorem a² + b² = c². In the rectangle a = 11 and b = 15. Substitute these values and simplify using a square root operation.

11² + 15² = c²

121 + 225 = c²

346 = c²

√346 = c

18.6= c

Answer: your answer is 10 easy as said. Love you jojo

Answer:

10

Step-by-step explanation:

The square root of 100 is 10 because

10x10=100

Another way to do this is to add 10 together 10 times

(which is why multiplication was invented; to make adding large groups of numbers easier)

The total televisions sold over the weekend equals 177.

The cost of parking equals 50 cents for the first hour plus 25 cents for the additional 7 hours. Cost = .5 +7 x .25 = $2.25

In order to see if Tom is staying on his diet you need to add the total calories of the food that he is planning on eating for dinner. The total is 1,344 calories, so if he ate all of it he would not be staying on his diet.

[tex]y = \frac{4}{x + 6} + 2 \\ [/tex]

found by:

as value of x approaches -6 from left, value of y appoaches negative infinity

as value of x approaches -6 from the right, value of y approaches infinity

(undefined solution)

therefore, the value of x = 0 is translated to x = - 6

if x = -6,

(x + 6) = 0

(x + 6) is the value of x in the equation

[tex]y = \frac{4}{x + 6} + c[/tex]

as x increases, the value of 4/x approaches 0

in the graph, it approaches 2 instead

meaning 2 units is added to the value of y,

therefore c = 2.

Answer:

[tex]y=\frac{4}{x+6} +2[/tex]

Step-by-step explanation:

Hey there! The correct option is A. -7 units (see photo for more info)

You can see in the photo I provided that there are 7 spaces in between (6, 2) & (6, -5) & since -5 is negative, the number of units in be will be negative.

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

median = 50

difference in the quartiles = 45

Step-by-step explanation:

The median amount is the line in the middle of the box

The median is 50

The difference between the upper quartile and the lower quartile is the difference between the right end of the box and the left end of the box

65-20 = 45

Answer:

v^(20/21).

Step-by-step explanation:

v^2/3 x v^2/7

= v^(2/3 + 2/7)

= v^( 14/21 + 6/21)

= v^(20/21).

Answer:

Step-by-step explanation:

The answer is B because if you subtract the correct way then you should get 17

Answer:  B

Step-by-step explanation:

Answer: option d

Step-by-step explanation:

By definition, you know that:

[tex]log_a(a^n)=n[/tex]

Where: a is the base of the logarithm.

You also know that the base of [tex]ln[/tex] is the Euler's number, which is "[tex]e[/tex]".

Therefore, when you apply the property shown above, you   obtain the following:

[tex]ln(e^2)=log_e(e^2)\\ln(e^2)=2[/tex]

Then, you can conclude that the answer is the shown in the option d.

Answer:

d edge

Step-by-step explanation:

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

[tex]l[/tex]: the number of large cars.

[tex]s[/tex]: the number of small cars.

Then, you can set up the following system of equations:

[tex]\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.[/tex]

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

[tex]\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5[/tex]

[tex]l[/tex]≈[tex]56[/tex]

Substitute [tex]l=56[/tex] into one of the original equations and solve for s:

[tex]56+s=142\\s=142-56\\s=86[/tex]

Answer: The equation you will use would be 40x + 15x =115. you're welcome.

I have attached a hand drawn graph with the correct equation.Brainliest would be greatly appreciated!

Answer:

$27,322.25

Step-by-step explanation:

Final answer:

To find the principal, you can use the formula for compound interest. The principal should be approximately $30,157.40.

Explanation:

To find the principal, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the future value of the investment (which in this case is $45,000)

P is the principal

r is the annual interest rate (which is 5% or 0.05)

n is the number of times interest is compounded per year (monthly compounding means n = 12)

t is the number of years

Using the given values, we have:

45000 = P(1 + 0.05/12)^(12*10)

Solving for P:

P = 45000 / (1 + 0.05/12)^(12*10)

P = 45000 / (1.00416667)^(120)

P ≈ 30157.40

Therefore, Bill must have a principal of approximately $30,157.40.

Answer:

B.) -2x^2-3

Step-by-step explanation:

You only need to look at the values of the offered answers for x=1 in order to determine the correct one.

A.) for x = 1, 2·1+3 = 5

B.) for x = 1, -2·1-3 = -5 . . . . matches the graph

C.) for x = 1, -1/2·1-3 = -3 1/2

D.) for x = 1, 1/2·1-3 = -2 1/2

___

Comparing the values at x=1 to the values at x=0, you find that f(1)-f(0) = 1, while g(1)-g(0) = -2. This tells you the multiplier is -2, so matches choice B.

The fact that the vertex of g(x) is 3 units below that of f(x) tells you that -3 has been added to the product -2x^2.

_____

Comment on vertical scale factor

Since 1^2 = 1, it is often convenient to look at a point that is 1 unit away from the vertex of the function. The function value relative to the vertex value at that point will tell you the vertical scale factor.

For example, we know that the coefficient of x^2 is 1 in f(x), and we see on the graph that f(1) is 1 unit above the vertex at (0, 0). The value of g(1) is -5, which is 2 units below the vertex of g(x) at (0, -3). So, the vertical scale factor is -5-(-3) = -2.

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❖ She has 111 pages left.

222/2 = 111

222 - 111 = 111

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222/2=111 111x2=222

Answer:

y = -2x+4

y = (3/2)x -3

The point of intersection is (2, 0), or x=2 and y=0.

Step-by-step explanation:

The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...

y = slope · x + (y-intercept)

y = -2x + 4

Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...

y = (3/2)x -3

The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.

Answer:

2) 6

Step-by-step explanation:

CE^2 = BC * AC

CE^2 = 3 * 12

CE^2 = 36

CE = 6