American Eagle is having a 60 % clearance sale on all summer merchandise. The consumer purchased $342.57 of the summer merchandise. What is the final cost to the consumer? Sales tax is 5%.

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ J^3=0.125\implies J^3=\cfrac{0125}{1000}\implies J^3=\cfrac{1}{8}\implies J^3=\cfrac{1}{2^3} \\\\\\ J^3=2^{-3}\implies J^3=(2^{-1})^3\implies J=2^{-1}\implies J=\cfrac{1}{2}[/tex]

Answer:

C≈25.13ft

Step-by-step explanation:

C=2πr=2·π·4≈25.13274ft

Answer: point M

Step-by-step explanation:

Answer: point M

i took the test

Answer:

9/10.

Step-by-step explanation:

3 3/4 ÷ (1 2/3 + 2 1/2)​

= 3 3/4 / ( 5/3 + 5/2)

= 3 3/4 / ( 10/6 + 15/6)

= 3 3/4 / 25/6

= 15/ 4 / 25/6

= 15/4 * 6/25

= 90/100

= 9/10.

Answer: c

Step-by-step explanation: Simple addition with decimals.

Answer:

34,700.

Step-by-step explanation:

The tens digit is 7 so we  round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.

Answer:

34,700

Step-by-step explanation:

34,678

3 is in the ten thousands place

4 is in the thousands place

6 is in the hundreds place

7 is in the tens place

8 is in the ones place

When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.

So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.

400, 500, 600, 700

As you can see, the nearest hundred is 700

Our answer would be 34,700

Hope this helps!

Answer:

3:4

Step-by-step explanation:

18inches : 2feet

18 inches: 2x12 =24 inches

18:24 - 3:4(divide by 6)

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}[/tex]

[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]

[tex]JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill[/tex]

In this equation x=18

Work Shown:

5x-12=3x+24

Add 12 to both sides

5x-12+12=3x+24+12

Simplify

5x=3x+36

Subtract 3x from both sides

5x-3x=3x+36-3x

Simplify

2x=36

Divide both sides by two

2x/2 = 36/2

Simplify

x=18

Answer:

x=18

Step-by-step explanation:

1. Add 12 to both sides

5x-12 +12 = 3x+24 +12

2. Simplify

5x=3x+36

3. Subtract -3x from both sides

5x-3x=3x+36-3x

4. Simplify

2x=36

5. Divide both sides by same factor (2)

2x/2=36/2

6. Simplify

ANSWER: x=18

Step-by-step explanation:

0.625

Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.

Dividing 5/8, It's Equal To 0.625

Step-by-step explanation:

5/8 = O.625

Answer:

$79.99

Correct method:

[tex]\rightarrow \sf 5(r-14.5)=327.45[/tex]

[tex]\rightarrow \sf 5r-72.5=327.45[/tex]

[tex]\rightarrow \sf 5r=327.45+72.5[/tex]

[tex]\rightarrow \sf 5r=399.95[/tex]

[tex]\rightarrow \sf r=\dfrac{399.95}{5}[/tex]

[tex]\rightarrow \sf r=79.99[/tex]

The regular price is $79.99

Answer:

$79.99

Step-by-step explanation:

The error is in step 3.  He needed to ADD 72.50 to both sides of the equation.  Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.

Correction calculation

5(r - 14.50) = 327.45

5r - 72.50 = 327.45

             5r = 399.95

                r = 79.99

The regular price is $79.99        

Hello!

what value can replace the question mark to make the statement true? 3 2/8 + ? = 7 1/8

Answer:

[tex]3\frac{7}{8}[/tex] Option B.

Step-by-step explanation:

Rewriting our equation with parts separated

[tex]= 7+\frac{1}{8}-3-\frac{2}{8}[/tex]

Solving the whole number parts

[tex]7-3=4[/tex]

Solving the fraction parts

[tex]\frac{1}{8} -\frac{2}{8} =-\frac{1}{8}[/tex]

Combining the whole and fraction parts

[tex]4-\frac{1}{8} =3\frac{7}{8}[/tex]

Therefore, the answer is 3 and 7/8

Hope this helps!

If you have any questions please ask!

Hey there!

3 2/8 + x = 7 1/8

13/4 + x = 57/8

x + 13/4 = 57/8

SUBTRACT 13/4 to BOTH SIDES

x + 13/4 - 13/4 = 57/8 - 13/4

SIMPLIFY IT!
x = 27/8

x = 3 7/8

Therefore, your answer is: x = 3 7/8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

6/35

Step-by-step explanation:

so he ate 2/5 first day, and the 3/7 the other day, so we need to add the 3/7 to 2/5.

they had to have the same number as their denominator.

so we gonna multiply (5) (3) and (5) (7) and also (7) (2) and (7) (5)

then we have 14/35 and 15/35 so we can add them together to find out 29/35

then we minus it from 35/35 to find out how much is left

35/35 - 29/35 is 6/35 , which is our answer

Answer:

  B

Step-by-step explanation:

The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.

We can compare the line's intercepts to those shown on the graphs to choose the correct graph.

x-intercept

The x-intercept is found by setting y=0 and solving for x:

  -3x +5(0) = -15

  x = -15/-3 = 5

Only one graph shows a line with an x-intercept of (5, 0): graph B.

y-intercept

We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.

  -3(0) +5y = -15

  y = -15/5 = -3

Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.

_____

Additional comment

Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.

However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Derivative of tan(x) is sec²x

[tex]\qquad \sf  \dashrightarrow \: \therefore \dfrac{d}{dx} ( \tan(x)) = { \sec}^{2} (x)[/tex]

You can check the first principle method of derivation in attachment

[tex]\rightarrow \sf \dfrac{d}{dx} (tan(x))[/tex]

[tex]\rightarrow \sf \dfrac{d}{dx} ( \ \dfrac{sin(x)}{cos(x)} \ )[/tex]

use the quotient rule

[tex]\rightarrow \sf \dfrac{cos(x) * \dfrac{d}{dx} (sin(x)-sin(x)*\dfrac{d}{dx}(cos(x) }{cos(x)^2}[/tex]

[tex]\rightarrow \sf \dfrac{cos(x) * cos(x)-sin(x)*(-sin(x) )}{cos(x)^2}[/tex]

[tex]\rightarrow \sf \dfrac{cos(x)^2+sin(x)^2}{cos(x)^2}[/tex]

[tex]\rightarrow \sf \dfrac{1}{cos(x)^2}[/tex]

[tex]\rightarrow \sf sec(x)^2[/tex]

used formula's :

Answer:

no 4. radius is x

no 5. radius is a

no 6. radius is y

Step-by-step explanation:

have no idea about tangents

Solution 4 :-

⠀

⠀

Solution 5 :-

⠀

⠀

Solution 6 :-

⠀

⠀

★ Important terms to keep in mind :-

⠀

✰ Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.

⠀

✰ Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.

⠀

✰ Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.

⠀

✰ Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.

⠀

✰ Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.

⠀

✰ Secant : A line segment joining exactly two points of a circle is known as secant.

⠀

✰ Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

1.97>1.89

Step-by-step explanation:

All of the other options are less than 1.89.

1.54 < 1.89

1.79 < 1.89

1.35 < 1.89

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Step-by-step explanation:

The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.

In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80

Hope this helped :)

Answer:

300km south

Step-by-step explanation:

Go up once from original position then down four times

Answer:

Step-by-step explanation:

a)

The original figure is ABC and the image is A'B'C'.

We can see the image is larger than the original figure.

It indicates that the dilation is an enlargement.

b)

Find the ratio of corresponding sides to find the scale factor.

First get the measure of corresponding line segments.

The scale factor is:

#1

#2

Take two sides of both

Scale factor:-

Answer:

c = 40degrees

Step-by-step explanation:

the sum of a triangle should be 180 degrees

you need to ad 80+60 which is 140 then minus 140 from 180 which is 40 so 40 degrees is the measurement of angle c

Answer:

a 9 degrees

Step-by-step explanation:

so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9

Answer:

342

Step-by-step explanation:

9x38=342, so the answer is 342 crayons

Answer:

342 crayons

Step-by-step explanation:

Each child has 9 crayons. This means each one of the children has 9 crayons for himself or herself. So if there are 38 children,it means each one of the 38 children has 9 crayons.

The total number of crayons is therefore gotten by multiplyiong the number of crayons of each child(9) by the total number of children(38).

∴38×9=342.

The production graph of the company is a quadratic graph

The true statements about the production graph are:

To interpret the model, we simply evaluate the options one after the other

Producing 5000 sets weekly

From the graph, we have:

(x,y) = (5000,0)

This means that a weekly production of 5,000 sets of headphones give an earning of $0.

Hence, this option is true

Increased production from 3000 to 4000

From the graph, the function value decreases when x increases from 3000 to 4000.

This means that this option is false

Producing 2500 sets

The production of 2500 sets give a maximum earning of $6250

This means that options (c) and (d) are true

Increased production from 1500 to 2000

From the graph, the function value increases when x increases from 1500 to 2000.

This means that this option is true

Hence, the true statements are: (a), (c), (d) and (e)

Read more about quadratic graphs at:

https://brainly.com/question/7988424

Answer:

1a. first 7×9=63 Then substracting 16 we get 47 and 2-47= -45

Answer:

a.  - 77

b. 4

c. 5x-14

d. 14

Step-by-step explanation:

a. 2-(7*9)-16

=> 2-63-16

=>(-61) - 16

=> -77

b.64 / 4+(3*4)

=> 64 /  4+12

=> 64 / 16

=> 4

c. 3x+2(x-7)

=> 3x+2x - 14

=> 5x-14

d. 5 + 6^2/ 4

=> 5+ 36/4

=> 5+9

=> 14

The circle has a center at the origin (0, 0) and have a radius of 4 units.

A circle is the locus of a point such that its distance from a fixed point (center) is constant.

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

The circle given by the equation:

x² + y² = 16

Hence the center is (0, 0) and the radius is 4 units.

The circle has a center at the origin (0, 0) and have a radius of 4 units.

Find out more on circle at: https://brainly.com/question/24375372

The center is (0, 0) and the radius is 4 units.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The base of a solid is s is the region bounded by the circle is;

[tex]\rm x^2+ y^2=16[/tex]

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

On comparing with the standard equation of a circle;

h = 0 , k = 0 and r =4

Hence. the center is (0, 0) and the radius is 4 units.

Learn more on the circle at:

brainly.com/question/24375372

Answer:

4

Step-by-step explanation:

A.

subtract both slopes

B.

in word problems:

"rate of change" means slope

C.

1. horizontal line's slope is 0

2. number next to the x is the slope

   y = 4x + 1 : slope is 4

3. "How much more" is word problems means subtract

4 - 0 = 4

D.

horizontal and vertical lines' slopes are 0