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nignag [31]
3 years ago
11

Rational numbers word problem please help

Mathematics
1 answer:
eimsori [14]3 years ago
7 0

4000/100= 40

40x6= 240

240x1.5= 360

360/4= $90 per person

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How to find the answers
Ksivusya [100]
You should ask for help,Don't be embarrassed to ask.
8 0
4 years ago
Sawyer picks a negative number. What is true about the opposite of his number?
Mariana [72]

Answer: the opposite number would be positive, and its absolute value.

8 0
4 years ago
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Draw the largest possible square inside an equilateral triangle, with one side of the square aligned with one side of the triang
Ronch [10]

Answer:

Rectangular area

side a  =  3 units

side b  = 2.60 units

Step-by-step explanation: See annex

We have an equilateral triangle (3 equal sides, three equal inside angles)

side length  =  6

∠  ABC  = ∠BCA  = ∠CAB  =  60⁰  

tan 60⁰  =  sin 60⁰/cos 60⁰    =  √3/2 / 1/2    

tan 60⁰  = √3    

From annex

tan ∠ ABC    =   √3   =  b/x      then    b  =  √3 * x

and   a  =  6 - 2*x     ( by symmetry)

Then

A = a*b

A(x)  =  ( 6 - 2*x ) * √3 *x

A(x)  =  6*√3 *x - 2*√3 *x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  6*√3  - 4*√3 *x    ⇒    A´(x)  = 0      ⇒  6*√3  - 4*√3 *x  = 0

x =  6/4         ⇒     x   =  1.5

then    a  =  6 - 2*x         ⇒    a  =  6 - 3   ⇒     a  =  3 (units)

and  b  =  √3*x   =  1.5 *√3  =  2.60 units

We get a rectangle (almost a square)

7 0
3 years ago
A rectangle has a fun property. The value of its perimeter is equal to the value of its area. The rectangle has a length of 2x f
Reika [66]

Answer:

1) 6\cdot x = 4\cdot x+6, 2) The value of x is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.

Step-by-step explanation:

Let be a rectangle with a length of 2\cdot x feet and a width of 3 feet. The area (A), measured in square feet, and perimeter (p), measured in feet, formulas are, respectively:

A = (2\cdot x)\cdot (3)

A = 6\cdot x (Eq. 1)

p = 4\cdot x + 6 (Eq. 2)

1) Now, we assume that p = A, then we reduce the system of linear equation into a sole linear equation:

6\cdot x = 4\cdot x+6 (Eq. 3)

2) We proceed to solve for x:

2\cdot x = 6

x = 3

The value of x is 3.

3) Lastly, we obtain the values of the perimeter and area:

A = 6\cdot (3)

A = 18\,ft^{2}

p = 4\cdot (3)+6

p = 18\,ft

The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.

3 0
3 years ago
Offering a lot of points for this
Andrews [41]

Answer:

6x - 1

Step-by-step explanation:

Add 3x and 3x.

6x − 1

ídk hope this helps... ( ̄▽ ̄)ノ

6 0
3 years ago
Read 2 more answers
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