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Licemer1 [7]
3 years ago
12

If 6 is added to three quarters of a certain number, the result is 42 . Find the original number​

Mathematics
2 answers:
Basile [38]3 years ago
4 0

Answer:

Step-by-step explanation

Hello!

3x/4 + 6=42

3x/4=42-6 = 36

3x = 36*4

3x = 144

x= 144/3 =48

3/4 of  48  = (48*3)  / 4 =36

36+6=42

the original number​ is 48

Nitella [24]3 years ago
4 0

Answer:

x=48

Step-by-step explanation:

3x/4+6=42

3x/4=42-6

3x/4=36

cross multiply

3x/3=144/3

x=48

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Find the area of the unshaded region for these two problems​
Grace [21]

1. Area of the right angled ∆ = 1/2 × base × height

height = 16m

base = √20² – 16²

= √400 –256

= √144

= 12 m

Area of the unshaded portion

= 1/2 × base × height

= 1/2 × 12 × 16

= 96m²

2. Area of the rectangle = 300ft × 150ft

= 45000sq. ft

Area of the shaded portion = 100² + (1/2×b×h)

= 10000 + (1/2×120×150)

= 10000 + 9000

= 19000 sq. ft

Area of the unshaded part of the rectangle

= (45000 – 19000)sq. ft

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5 0
3 years ago
Rearrange the formula A = <br> Θr2<br> 2<br> for Θ.
Lina20 [59]

Answer:

\theta=\frac{2A}{r^2}

Step-by-step explanation:

Given : The formula A=\frac{\theta r^2}{2}

We have to rearrange the given formula for \theta

Consider the given formula A=\frac{\theta r^2}{2}

Multiply both side by 2, we have,

2A={\theta r^2

Divide both side by r^2 , we have,

\frac{2A}{r^2}= \frac{\theta r^2}{r^2}

Simplify, we get,

\frac{2A}{r^2}=\theta

Thus, \theta=\frac{2A}{r^2}  

3 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.
olga55 [171]

Answer:

The slop is undefined

i.e. m=\infty

Step-by-step explanation:

Considering the slope formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty

so

  \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

            =\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}

             =\frac{0-\left(-4\right)}{0}

             =\infty    

Therefore, the slop is undefined i.e. m=\infty

5 0
3 years ago
If I bought an outfit for $24.50 and sales tax is 8%, how much will I have to pay in all? *
aleksley [76]

Answer:

26.46

Step-by-step explanation:

24.50 x .08 = 1.96 (this is our sales taxes)

1.96 + 24.50 = 26.46

8 0
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Which of the following points is in the solution set of y&gt;-x^2+5?
QveST [7]
The only point which is a solution is C
3 0
3 years ago
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