MATHEMATICS MIDDLE SCHOOL

Jacqueline earned a commission of $200 for one week at work. Her commission rate is 12% of the merchandise she sells. How much merchandise, m, did she sell that week? Identify the equation that solves the problem using the idea:

Answers

Answer 1
Answer:

Answer:

D m(0.12) = 200

Step-by-step explanation
Answer 2
Answer:

Answer:

$1666.67

Step-by-step explanation:

200/.12=$1666.67

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Find the value of X or Y so that the line through the points has the given slope. (X, 0) and (4,1); slope: 1/5

Answers

Point slope formula:
(y₂ -y₁) = m(x₂ - x₁)
(1 - 0) = (1)/(5)(4 - X)
1 = (4)/(5) - (1)/(5) X
(1)/(5) = -(1)/(5) X

-1 = X

A TV goes on sale with a discount of 28%. The original price of the TV is $942. What is the sales price of the TV?

Answers

Answer:

28% discount of the TV = $678.24

Step-by-step explanation:

28% discount of the TV = actual price - 28% of the actual price.

Since we know the actual price to be $942

Actual price = $942

28% of the actual price = 28% * actual price.

= 28/100 x 942

= 26376/100

= 263.76.

28% discount of the TV = actual price - 28% of the actual price.

28% discount of the TV = $942 - $263.76

28% discount of the TV = $678.24
A percentage is equivalent to a fraction, a percentage is out of 100 therefore the fraction for this can be 28/100, as a decimal this would be .28. Therefore to solve this problem you would set up the problem as, 942 x .28= 263.76, you then take that number and subtract it from the original price of the tv, and you get the final price, of $678.24.

a small airplane used 5 2/3 gallons of fuel to fly a 2 hour trip how many gallons were used each hour

Answers

2.83 gallons were used per hour

A garden box has a perimeter of 27 1/2 feet. If the length is 9 feet, what is the area of the garden box?

Answers

Perimeter = (Length x 2) + (Width x 2)
27.5 = (9 x 2) + (Width x 2)
27.5 = 18 + (Width x 2)
9.5 = (Width x 2)
4.75 = Width

Let's check:
27.5 = (9 x 2) + (4.75 x 2)
27.5 = 18 + 9.5
27.5 = 27.5 

Since the width is 4.75 and the length is 9, we can multiply the two to get the area. 4.75 x 9 = 42.75 sq. ft.

The area of the garden box is 42³/₄ feet² = 42,75 feet²

Further explanation

To solve the above questions, we need to recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

Given:

Perimeter = P = 27 ¹/₂ feet

Length = L = 9 feet

Unknown:

Area = ?

Solution:

First we calculate the width of the garden box

\texttt{Perimeter} = 2 * ( \texttt{Length + Width} )

27(1)/(2) = 2 * ( 9 + \texttt{Width} )

27(1)/(2) / 2 = ( 9 + \texttt{Width} )

13(3)/(4) = 9 + \texttt{Width}

\texttt{Width} = 13(3)/(4) - 9

\texttt{Width} = \boxed {4(3)/(4) ~ \texttt{feet}}

Finally we can calculate the area of the garden box

\texttt{Area} = \texttt{Length} * \texttt{Width}

\texttt{Area} = 9 * 4(3)/(4)

\texttt{Area} = \boxed {42(3)/(4) ~ \texttt{feet}^2}

Learn more

Answer details

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

Flora has c coats. She has 4 more shirts than half of the amount of coats.If c represents the number of coats Flora has, write the expression that can be used to find how many shirts she has?

Answers

The expression would be (1/2)c+4 because it is half the amount of coats and there are 4 more shirts, indicating addition.

The house has five doors. the number of windows is two more than 5. how are there?

Answers

more than in mathematics means addition

So if there are 5 doors, and there are two more windows than doors, then there is 5 + 2 = 7 windows.

So, there is a total of 7 windows.
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