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skad [1K]
3 years ago
6

The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of

the rectangle.
Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

{\boxed{\sf Area=LB}}

  • Substitute the values

\hookrightarrow\sf x (6x-4)=20

\hookrightarrow\sf 6x^2-4x=20

\hookrightarrow\sf 6x^2-4x-20=0

  • Here a=6, b=-4, c=-20.
  • use quadratic formula

\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}

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What fraction has a numerator 8 and is equivalent to 1/2<br><br> 4/8<br> 8/16<br> 8/12 or 8/9
tangare [24]

Answer:

8/16

Step-by-step explanation:

(8÷8)=1 / (16÷8)=2 = 1/2

8 0
3 years ago
The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of −3x5
salantis [7]
If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,

     m₁ + m₂ + m₃ = 180

Given the measures of the first two angles, the measure of the third angle is calculated through the equation,

    m₃ = 180 - (m₁ + m₂)

Substituting the known expressions,

    m₃ = 180 - (-3x⁵ + 2x²)

Simplifying,

<em>    m₃ = 180 + 3x⁵ - 2x²</em>
7 0
3 years ago
determine whether the point 1,5 is a solution to the system of inequalities below y&gt;3x , y&gt;/2x+1
vladimir2022 [97]
Determine whether the point 1,5 is a solution to the system of inequalities below y>3x , y>/2x+1

8 0
3 years ago
50 POINTS ILL GIVE BRAINLIEST !! RANDOM ANSWERS WILL BE REPORTED!!
Arlecino [84]

Answer:

Hope this helps :)

Step-by-step explanation:

15

(3^5)÷(3^5)

Simplify 3^5

243÷243

1

(3^5)÷(3^5)

3^5/3^5=3^5-5

3^5-5

3^5-5= 1

1

Formula: x^a/x^b=x^a-b

16

2^10/2^10

Cancel out 2^10

1

2^10/2^10

2^10/2^10=2^10-10

2^10-10

2^10-10=1

1

Formula: x^a/x^b=x^a-b

17

x^7/x^7x≠0

x≠0

18

(4x+2y)5÷(4x+2y)^5(4x+2y) ≠ 0

5/(4x+2y)^3 ≠ 0

5 ≠ 0

≠ =-y/2

19

No solution

20

p^4/p^4p ≠ 0

p≠ 0

no solution

6 0
3 years ago
Read 2 more answers
Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all t-shirts are $10 each.He has $100 to spend and wo
DaniilM [7]
Let
x = the number of shorts bought
y =  the number of t-shirts bought

A pair of shorts costs $16 and a t-shirt costs $10. Brandom has $100 to spend.
Therefore
16x + 10y ≤ 100
This may be written as
y ≤ - 1.6x + 10                 (1)

Brandon wants at least 2 pairs of shorts. Therefore
x ≥ 2                               (2)

Graph the equations y = -1.6x + 10 and  x = 2.
The shaded region satisfies both inequalities.

Answer:
Two possible solutions are
(a) 3 pairs of shorts and 4 t-shirts,
(b) 4 pairs of shorts and 2 t-shirts.

7 0
3 years ago
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