The correct marked price of the laptop is $740.
To find the marked price of the laptop, we need to consider the total amount Joan paid, which includes the discounted price and the additional tax. Joan paid a total of $737, which is after a discount and including a 5% tax on the marked price.
Let's denote the marked price of the laptop as M. Joan paid $700 after the discount, which means the discounted price is $700. The tax paid on the marked price is 5% of M, which can be written as 0.05M .
The relationship between the marked price, the discount, and the tax can be expressed as:
[tex]\[ M - \text{Discount} + 0.05M = \text{Total paid} \] \[ M - (M - 700) + 0.05M = 737 \] \[ M - M + 700 + 0.05M = 737 \] \[ 0.05M = 737 - 700 \] \[ 0.05M = 37 \][/tex]
Now, we solve for \( M \) to find the marked price:
[tex]\[ M = \frac{37}{0.05} \] \[ M = 740 \][/tex]
Therefore, the marked price of the laptop is $740.
The other options can be eliminated as follows:
- $700 is the price Joan paid after the discount, not the marked price.
- $777 is not correct because it does not account for the 5% tax on the marked price.
- $40 is incorrect as it is much less than the amount Joan paid after the discount.
Hence, the correct answer is $740 for the marked price of the laptop.
Wendi worked for $6 an hour for the first month she was on the job. She was then given a raise to $6.24 an hour. What was the percent of her wage increase?
Simplify
2x x y x 3
To simplify 2x * y * 3, multiply the coefficients (2 and 3) and the variables (x and y) separately, resulting in the simplified expression 6xy.
Explanation:To simplify the expression 2x * y * 3, we can multiply the coefficients and the variables separately. The coefficients are 2 and 3, so their product is 2 * 3 = 6. The variables are x and y, so their product is xy. Putting it all together, the simplified expression is 6xy.
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.The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink? Answer:
Veronica gave 20% of her money to Bill. She used 50% of the remaining money to buy books.
If Veronica gave $35 to Bill, she spent $ to buy books and she has $ left.
Answer:
If Veronica gave $35 to Bill, she spent $70 to buy books and she has $70 left.
Step-by-step explanation:
Factor the expression. X^4+6x^2-7 completely. Show work!
Find the value of x in the triangle shown below
How do I do this?
Rhea is a freelance writer. She works for multiple clients and has several sources of income. Some of her clients pay her more than $600 for her work. These clients always send a specific form to her where she has to report her gross payments. What form do you think the clients are sending to Rhea?
For a party, liam ordered 1 taco for each guest, for $2.50 each, and paid a $2.00 delivery fee. michelle ordered 1 burrito for each guest, for $1.80 each, and paid a $3.00 delivery fee. let g represent the number of guests that attended the party. which simplified expression represents the total cost of the two orders?
a. 4.3g + 5
b. 4.5g + 4.8g
c. 6.3g + 3
d. 9.3g
Solve for x: 14 = 0.1x 14 140 1.4 .14
The value of x that satisfies the equation 14 = 0.1x is 140.
Explanation:To solve the equation 14 = 0.1x, we can start by dividing both sides of the equation by 0.1 to isolate x. This gives us 14/0.1 = x, which simplifies to 140 = x. So, the value of x that satisfies the equation is 140.
Make t the subject of the formula 2(t-5) = y
what is 31590 rounded to the nearest thousand
can 0.525252 be written as a fraction why or why not
Add.
(2x + 5) + (3x - 7)
A) x - 2
B) x + 2
C) 5x - 2
D) 5x + 2
Answer:
C) 5x - 2
Step-by-step explanation:
When parentheses are preceded by a + sign, they may be immediately removed. Two additions and one subtraction are called for here: 2x + 5 + 3x - 7. This is 5x - 2.
(2x + 5) + (3x - 7)
2x + 5 + 3x - 7
2x + 3x - 7 + 5
5x - 2.
Hope this helps!!!
When washing your hands, the correct amount of time to scrub your hands is approximately: select one:
a. 30 seconds.
b. 5 seconds.
c. 10-15 seconds.
d. 1 minute?
–2x + 3y = 21
3x – 2y = 21
–2x – 3y = 21
–2x + 3y = 7
Answer:
D.
Step-by-step explanation:
-2x+3y=7.I just took the test.
Which are the solutions of x2 = –13x – 4? 0, 13 0, –13
Answer:
Option 3 and 4 - 0,-13
Step-by-step explanation:
Given : Expression [tex]x^2=-13x-4[/tex]
To find : What are the solutions?
Solution :
The quadratic formula of the quadratic equation [tex]ax^2+bx+c=0[/tex] is
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Comparing with general equation, [tex]x^2+13x+4=0[/tex]
where, a=1 ,b=13, c=4
Substitute in the formula,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}[/tex]
[tex]x=\frac{-13\pm\sqrt{169-16}}{2}[/tex]
[tex]x=\frac{-13\pm\sqrt{153}}{2}[/tex]
[tex]x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}[/tex]
The value of x is [tex]x=-0.315,-12.68[/tex]
Approximately the solution of the expression is x=0,-13.
A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer will be the first to receive both gift cards?After this customer receives both gift cards, what is the total amount in gift cards that the store has given away?
what translation rule can be used to describe the result of the composition of (x,y) --> (x - 9,y - 2) and (x,y) --> (x + 1, y - 2) ? PLEASE HELPPPPP!!!!!
we know that
the rule of the translation A is
[tex](x,y)-----> (x-9,y-2)[/tex]
that means
the translation is [tex]9[/tex] units to the left and [tex]2[/tex] units down
the rule of the translation B is
[tex](x,y)-----> (x+1,y-2)[/tex]
that means
the translation is [tex]1[/tex] unit to the right and [tex]2[/tex] units down
therefore
the rule of the composition A+B is
[tex](x,y)-----> (x-9+1,y-2-2)[/tex]
[tex](x,y)-----> (x-8,y-4)[/tex]
that means
the translation is [tex]8[/tex] units to the left and [tex]4[/tex] units down
so
the answer is
[tex](x,y)-----> (x-8,y-4)[/tex]
The translation rule that describes the result of the composition of the transformations (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2) is (x, y) --> (x - 8, y - 4). This rule is obtained by sequentially applying each transformation to (x, y).
Explanation:When we talk about compositions of translations in geometry, what we are doing is carrying out one translation after the other. So, if we have two translations: (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2), we perform these operations sequentially.
First, we apply the transformation (x,y) --> (x - 9, y - 2). Then we take these new coordinates and apply the second transformation (x,y) --> (x + 1, y - 2). The result of this composition is (x - 9 + 1, y - 2 - 2) = (x - 8, y - 4), as you add (or subtract) the changes introduced by each translation.
So, the translation rule that can be used to describe the result of the composition of these transformations is: (x, y) --> (x - 8, y - 4).
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What is the missing polynomial? ? – (20 – 4x – 5x2) = 20 – 7x2 A. 4x-12x^2 B. 4x-2x^2 C. 40-4x-12x^2 D. 40-4x-2x^2
what is the coefficient in the expression x / 3 + 7
Answer:
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
Step-by-step explanation:
[tex]\frac{x}{3} +7[/tex]
We need to find the coefficient of each term in the given expression
x/3 can be written as 1/3 times x
The coefficient is the number with the variable x
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
6L127ml=__________ mL
Which type of light is most likely to cause burns?why?
a jeweler bought some necklaces and bracelets for $1,100. the cost of the necklaces was 20% more than the cost of the bracelets. how much did the jeweler pay for
A) the necklaces?
B) the bracelets?
Carrie made a square tablecloth with an area of 169 square inches. What was the length of each side of the tablecloth?
Plz hurry
The length of each side of the tablecloth is 13 inches.
Explanation:To find the length of each side of the tablecloth, we need to take the square root of the area. Since the area is given as 169 square inches, we can take the square root of 169. The square root of 169 is 13, so each side of the tablecloth is 13 inches long.
The area of circle z is 64 pi ft^2
What is the value of r?
we know that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]A=64\pi \ ft^{2}[/tex]
substitute in the formula and solve for r
[tex]64\pi=\pi r^{2}[/tex]
Simplify
[tex]64=r^{2}[/tex]
Square root both sides
[tex]r=8\ ft[/tex]
therefore
the answer is
The value of r is [tex]8\ ft[/tex]
Irvan bought a drink for $1.90, a sandwich for $ 2.25, and an apple for $.75. What is the total amount of money he spent
Decide if the following is a properly formed syllogism.
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Therefore, if it is sweet, then you’re drinking tea.
a. This is not a syllogism.
b. This is a syllogism.
The following is not a properly formed syllogism.
Option A is the answer.
What is a syllogism?A syllogism is a form of argument where the conclusion follows from the truth of two or more given statements.
We have,
Statements:
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Conclusion:
If it is sweet, then you’re drinking tea.
This is not a conclusion from the truth of the given statements.
There is nowhere mention of tea in the statements.
Thus,
It is not a properly formed syllogism.
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Figure ABCD is a parallelogram
Answer:
x = 7
Step-by-step explanation:
Figure ABCD is a parallelogram
So sides AD and BC will be parallel and their length will be same.
[Since opposite sides of parallelogram are equal in length]
So mAD = mBC
(5x + 3) = 38
5x = 38 - 3 = 35
x = [tex]\frac{35}{5}[/tex]
x = 7
Therefore, x = 7 will be the answer.
Katlin divided a fraction by 1/2 the result was a mixed number. was the fraction less than or greater than 1/2? EXPLAIN.
A salad recipe calls for 1 3/4 cups of chopped tomatoes. The recipe calls for 4 1/7 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?
4 1/7 cups
4 3/28 cups
7 1/4 cups
7 1/7 cups