Please help! Solve the equation. Check your solution, if possible. #4 (10 points) picture is included) please help!

Leah has a 20% off coupon for a sports store. There is a tennis racket that is available at a discount of 10%. The store applies

Art [367]

Answer:the orginal price of the tennis racket is $47

Step-by-step explanation:

Let x represent the original price of the tennis racket at the sports store.

Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.

The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be

10/100 × x = 0.1 × x = $0.1x

The discounted price of the racket would be

x - 0.1x = 0.9x

The value of the coupon would be

20/100 × 0.9x = 0.2 × 0.9x = 0.18x

The selling price after the coupon was applied would be

0.9x - 0.18x = 0.72x

She buys the racket for $34. This means that

0.72x = 34

x = 34/0.72 = $47

3 0

2 years ago

What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4

densk [106]

Answer:

(2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x + y = 5

3x - 2y = 4

Step 2: Rewrite Systems

Manipulate 1st equation

[Subtraction Property of Equality] Subtract 2x on both sides: y = 5 - 2x

Step 3: Solve for x

Substitution

Substitute in y [2nd Equation]: 3x - 2(5 - 2x) = 4
[Distributive Property] Distribute -2: 3x - 10 + 4x = 4
[Addition] Combine like terms: 7x - 10 = 4
[Addition Property of Equality] Add 10 on both sides: 7x = 14
[Division Property of Equality] Divide 7 on both sides: x = 2

Step 4: Solve for y

Substitute in x [Modified 1st Equation]: y = 5 - 2(2)
Multiply: y = 5 - 4
Subtract: y = 1

3 0

2 years ago

A student walks 8 meters down the hall, realizes they forgot something from their locker and

Andreas93 [3]

Answer:

6 meters

Step-by-step explanation:

8 - 2 = 6

3 0

3 years ago

You have found the following ages (in years) of 4 tigers. The tigers are randomly selected from the 31 tigers

777dan777 [17]

Average age of the 4 tigers is 17
add all the ages 22,13,18,16 and divide by

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=2h-3%5C%20%20%5Ctextgreater%20%5C%2015" id="TexFormula1" title="2h-3\ \textgreater \ 15" alt=

skelet666 [1.2K]

$\huge\text{Hey there!}$

$\large\textsf{2h - 3 }\mathsf{>}\large\textsf{ 15}$

$\large\text{ADD 3 to BOTH SIDES}$

$\large\textsf{2h - 3 + 3 }>\large\textsf{ 15 + 3}$

$\large\text{CANCEL out: \textsf{-3 + 3} because that gives you 0}$

$\large\text{KEEP: \textsf{15 + 3} because it helps you solve for your h-value}$

$\large\textsf{15 + 3 = \boxed{\large\textsf{\bf 18}}}$

$\large\text{NEW EQUATION: \textsf{2h} }\mathsf{>}\large\textsf{ 18}$

$\large\text{DIVIDE 2 to BOTH SIDES}$

$\mathsf{\dfrac{2h}{2}>\dfrac{18}{2}}$

$\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}$

$\large\text{KEEP: }\mathsf{\dfrac{18}{2}}\large\text{ because it gives you your h-value is being compared to}$

$\large\text{NEW EQUATION: }\mathsf{h > \dfrac{18}{2}}$

$\mathsf{\dfrac{18}{2}}$

$\mathsf{= 18\div 2}$

$=\boxed{\mathsf{\large\textsf {\bf 9}}}$

$\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf h > 9}}}\huge\checkmark\\\\\boxed{\boxed{\rm \bf It\ it\ an\ O P E N E D\ circle\ shaded}}\\\boxed{\boxed{\rm \bf to\ the\ right\ starting\ at\ point\ 9}}\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

6 0

2 years ago

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