Find the sale price to the nearest cent.
The sale price of a video game that has been
discounted 30% is $26.46. What was the original
price of the video game?

Answer:

[tex]x=\frac{13}{2}, y=\frac{51}{4}[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}[/tex]

[tex]Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}[/tex]

Answer:

its £91 - £27.30 = £63.70

Step-by-step explanation:

£63.70 is how much she will pay

Answer:

Step-by-step explanation:

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answer:

logm^3

Step-by-step explanation:

logm^5-logm^2

logm^5/m^2

log(m^5-2)

logm^3

Answer:

y = 2x + 3

Step-by-step explanation:

Answer:

20400

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

9514 1404 393

Answer:

  CEFA

Step-by-step explanation:

The perimeter is twice the sum of the side lengths.

  P = 2(L+W)

__

1) P = 2(2x +(3x+2)) = 2(5x +2) = 10x +4 . . . . . letter C

2) P = 2((4x+1) +x) = 2(5x +1) = 10x +2 . . . . . . . letter E

3) P = 2(7 +(x+5)) = 2(x +12) = 2x +24 . . . . . . . letter F

4) P = 2(5 +(4x-3)) = 2(4x +2) = 8x +4 . . . . . . . letter A

The code word is CEFA.

Answer: 131.7 ft

Step-by-step explanation: use 148 as side measure b, then solve for measure of side a

with two given angles and one given side, use law of sines.

a = b•sin(A)/sin(B) = 131.71071

c = b•sin(C)/sin(B) = 166.89278

if you want to find angle measures:

180-A-B

180-49-58=73

C=73

The length of the string attached to stake B is 166.3 feet.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

An angle of elevation of stake A = 49°

The length of the string attached to stake A,a = 148 feet

An angle of elevation of stake B = 58°

Let the length of the string attached to stake B be b.

Then by law of sines,

[tex]\frac{Sine A}{a}=\frac{Sine B}{b}[/tex]

On substituting the above values,

⇒ [tex]\frac{Sine 49}{148}=\frac{Sine 58}{b}[/tex]

⇒ [tex]b=\frac{(Sine 58)(148)}{Sine49}[/tex]

⇒ [tex]b=\frac{(0.8480)(148)}{0.7547}[/tex]

⇒ [tex]b=166.29[/tex] ≈ [tex]166.3[/tex]

Hence we can conclude that the length of the string attached to stake B is 166.3 feet.

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Answer:

Parallel lines

Step-by-step explanation:

parallel lines are lines that dont touch

Answer:

b

Step-by-step explanation:

Answer: 5/8 yards²

Step-by-step explanation:

The painting is in the shape of a rectangle as stated and the formula for finding the are of a rectangle is:

= Length * Width

The are of the rectangular painting is:

= 5/4 * 1/2

= 5/8 yards²

Witten in decimal form:

= 0.625 yards²

Answer:

B

Step-by-step explanation:

Answer:

keep it simple C

Step-by-step explanation:

Answer:

The surface area of Design A is smaller than the surface area of Design B.

The area of Design A is 94.65% of the Design B.

Step-by-step explanation:

The area of a right cone is given by the sum of the circle area of the base and the lateral area:

[tex] A = \pi r^{2} + \pi rL [/tex]   (1)

Where:

r: is the radius

L: is the slant height  

The slant height is related to the height and to the radius by Pitagoras:

[tex] L^{2} = H^{2} + r^{2} [/tex]  

[tex] L = \sqrt{H^{2} + r^{2}} [/tex]    (2)

By entering equation (2) into (1) we have:

[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]  

Now, let's find the area of the two cases.

Design A: height that is double the diameter of the base, H= 2D = 4r

[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]  

The volume of the cone is:

[tex]V = \frac{1}{3}\pi r^{2}H[/tex]

We can find "r":

[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]

[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]

The area is:

[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]  

Design B: height that is triple the diameter of the base, H = 3D = 6r                  

The radius is:

[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]  

The area is:

[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]  

Hence, the surface area of Design A is smaller than the surface area of Design B.

The percent of the surface area of Design A is less than Design B by:

[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]

Therefore, the area of Design A is 94.65% of the Design B.

I hope it helps you!

One solution means that x will only equal one number.

Many solutions means that no matter what number you replace x with, the equation will still be true.

No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.

One solution: x - 2 = 12

Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:

x - 2 (+2) = 12 (+2)

x = 12 + 2

x = 14

Many solution: x + 3 = 3 + x

Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:

If x = 1:

1 + 3 = 3 + 1

4 = 4

If x = 2:

2 + 3 = 3 + 2

5 = 5

etc.

No solution: x - 1 = x + 5

Check: No matter what number you plug in for x, both sides of the equation will not match. Check:

If x = 1:

1 - 1 = 1 + 5

0 ≠ 6

If x = 2:

1 - 2 = 2 + 5

-1 ≠ 7

etc.

~

Answer:

What is the molarity of this solution is 0.81

Step-by-step explanation:

Answer option B) 0.81.

Answer:

How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .

Answer:

89%

Step-by-step explanation:

brainliest please

Answer:

Step-by-step explanation:

Answer:

305 ft :)

Step-by-step explanation:

Answer:

He is not correct.

Step-by-step explanation:

he should have done

4(x-1) = -1(6x-36)

=> 4x-4 = -6x+36

=> 4x-4+4 = -6x +36+4

=> 4x+6x = -6x+6x+40

=> 10x = 40

=> (10x)/10 = 40/10

=> x = 4.

Answer:

hello its me again and im trying to help you kid

Step-by-step explanation:

The answer to ur question is b

Answer: All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

Answer:2

Step-by-step explanation:i got it right thats all i know.can i get a branliest at least please.

Answer:

C) y = -x - 2; y = 4x + 3

Hope this helps

The solution is Option C.

The system of equations is y = - x - 2  ;  y = 4x + 3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Let the second equation be represented as B

Now , the value of A is

y = - x - 2   be equation (1)

Now , the value of B is

y = 4x + 3   be equation (2)

On simplifying the equation , we get

The point of intersection on the graph is ( -1 , -1 )

Substituting the values in the equation , we get

when x = -1 and y = -1

y = - x - 2

-1 = - ( -1 ) - 2

-1 = + 1 - 2

-1 = -1

So , the solution to the equation is ( -1 , -1 )

And ,

y = 4x + 3

-1 = 4 ( -1 ) + 3

-1 = -4 + 3

-1 = -1

So , the solution to the equation is ( -1 , -1 )

Hence , the equations are y = - x - 2 and y = 4x + 3

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Answer:

100cm^2

Step-by-step explanation:

5×2=10 which is one side

base×height=area

10×10=100

Answer:

f(x) = 3x2 + 5 and y = 3x2 + 5

Step-by-step explanation:

The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.