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Akimi4 [234]
3 years ago
7

Mark got 54 out of 66 correct in his test. What fraction of the marks did he get correct? Give your answer in its simplest form

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer:

\texttt{Fraction of the marks did he get correct}=\frac{9}{11}

Step-by-step explanation:

Mark got 54 out of 66 correct in his test.

We need to find what fraction of the marks did he get correct,

Total number of questions = 66

Total number of correct answers = 54

\texttt{Fraction of the marks did he get correct}=\frac{\texttt{Total number of correct answers}}{\texttt{Total number of questions}}\\\\\texttt{Fraction of the marks did he get correct}=\frac{54}{66}\\\\\texttt{Fraction of the marks did he get correct}=\frac{9}{11}

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A rectangle in the xy-coordinate plane is formed by the points (1,−4), (1,6), (3,−4), and (3,6). What is the perimeter of this r
Airida [17]

Answer:

Perimeter of the rectangle=20+2\sqrt{104}

Step-by-step explanation:

The perimeter of the rectangle with the given coordinates is the sum of its all four sides:

Let the points be A(1,-4), B(1,6), C(3,-4) and D(3,6)

Finding the sides of the rectangle using the Distance formula:

AB=

               \sqrt{(1-1)^2+(6-(-4))^2} \\\\=\sqrt{0+10^2} \\\\=\sqrt{100}\\\\ =10

BC

            =\sqrt{(3-1)^2+(-4-6)^2} \\\\=\sqrt{2^2+(-10)^2}\\\\ =\sqrt{4+100} \\\\=\sqrt{104}

CD=

             \sqrt{(3-3)^2+(6-(-4))^2} \\\\=\sqrt{0+10^2} \\\\=\sqrt{100} \\\\=10

AD=

            \sqrt{(3-1)^2+(6-(-4))^2} \\\\=\sqrt{2^2+10^2} \\\\=\sqrt{4+100}\\\\ =\sqrt{104}

 Perimeter of the rectangle=AB+BC+CD+AD

                                    =10+\sqrt{104}+ 10+\sqrt{104}

Perimeter of the rectangle=20+2\sqrt{104}

7 0
3 years ago
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can c
gulaghasi [49]

Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

3 0
3 years ago
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