Answer:
<u>Joel will have to pay $ 159.60 for the tablet.</u>
Step-by-step explanation:
1. Information given to us to answer the question correctly:
Discount percentage of the tablets = 20%
Original cost of the tablet = $ 190
Sales tax = 5%
2. How much will Joel pay for the tablet? Show your work in your notebook. Remember to use $.
Let's find the discounted price and the sales tax for that price, this way:
Discounted price = Original price - Discount
Discounted price = 190 - (190 * 0.2)
Discounted price = 190 - 38 = 152
Sales tax of the discounted price = 152 * 0.05
Sales tax = 7.60
Joel will have to pay = Discounted price + Sales tax
Joel will have to pay = 152 + 7.60
<u>Joel will have to pay = $ 159.60</u>
Answer:
C. ![(-7x+60)(x+4)](https://tex.z-dn.net/?f=%28-7x%2B60%29%28x%2B4%29)
Step-by-step explanation:
Consider the expression ![-7x^2+32x+240.](https://tex.z-dn.net/?f=-7x%5E2%2B32x%2B240.)
First, note that
![a=-7\\ \\b=32\\ \\c=240](https://tex.z-dn.net/?f=a%3D-7%5C%5C%20%5C%5Cb%3D32%5C%5C%20%5C%5Cc%3D240)
Find the discriminant
![D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%3D32%5E2-4%5Ccdot%20%28-7%29%5Ccdot%20240%3D1%2C024%2B6%2C720%3D7%2C744%5C%5C%20%5C%5C%5Csqrt%7BD%7D%3D%5Csqrt%7B7%2C744%7D%3D88)
Now,
![x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}](https://tex.z-dn.net/?f=x_1%3D%5Cdfrac%7B-b%2B%5Csqrt%7BD%7D%7D%7B2a%7D%3D%5Cdfrac%7B-32%2B88%7D%7B2%5Ccdot%20%28-7%29%7D%3D-4%5C%5C%20%5C%5Cx_2%3D%5Cdfrac%7B-b-%5Csqrt%7BD%7D%7D%7B2a%7D%3D%5Cdfrac%7B-32-88%7D%7B2%5Ccdot%20%28-7%29%7D%3D%5Cdfrac%7B60%7D%7B7%7D)
Write the factored form:
![-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)](https://tex.z-dn.net/?f=-7x%5E2%2B32x%2B240%3D-7%28x-%28-4%29%29%5Cleft%28x-%5Cdfrac%7B60%7D%7B7%7D%5Cright%29%3D%28x%2B4%29%28-7x%2B60%29)
Answer:
7 . 4 + 6 - 12 : 4 = 31
Step-by-step explanation:
* To solve this problem lets revise the order of operations in
mathematics
- The operations are:
# Addition
# Subtraction
# Multiplication
# Division
# Exponentiation
# Grouping ⇒ Parenthesis or brackets
- The order of these operations is:
# Parenthesis
# Exponents
# Multiplication and Division which comes first from left to right
# Addition and Subtraction which comes first from left to right
- There is a word made from the first letter of each operation
PEMDAS to remember the order of operations
* Lets solve the problem
∵ 7 . 4 + 6 - 12 : 4
∵ The (.) means multiply the numbers
∵ The symbol (:) means divided the numbers
∴ At first multiply 7 by 4 and divide 12 by 4
∴ (7 × 4) + 6 - (12 ÷ 4)
∴ 28 + 6 - 3
∵ Addition comes before subtraction from the left
∴ (28 + 6) - 3
∴ 34 - 3 = 31
∴ 7 . 4 + 6 - 12 : 4 = 31
The actual skate park's perimeter is 130 inches.
Explanation:
Step 1; Assume the initial garden has a width of y inches. It is given that the length is 25 inches. The perimeter of any given rectangle is twice the sum of the length and the width of the same rectangle. The initial perimeter is given as 80 inches.
Perimeter = 2 × (length of the rectange + width of the rectangle).
80 = 2 × (25 + y), 40 = 25 + y, y = 40 - 25 = 15
So the initial park has a width of 15 inches.
Step 2; Now we calculate the actual skate park's perimeter. The length is given as 50 inches and the width was found to be 15 inches.
Perimeter = 2 × (length of the rectange + width of the rectangle).
Perimeter = 2 × (50 + 15) = 2 × 65 = 130 inches.
Answer:
10n -11 =3 + 4n + 6n
10n - 10n -11 =3-3 + 4n + 6n
-11 - 3 = -10n + 4n + 6n
-14= -10n + 10n
-14 = n
Step-by-step explanation:
10n -11 =3 + 4n + 6n
10n - 10n -11 =3-3 + 4n + 6n
-11 - 3 = -10n + 4n + 6n
-14= -10n + 10n
-14 = n