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n200080 [17]
3 years ago
15

In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in squa

re units.​
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

(6 {x}^{2}   - 7x - 5) \:  {units}^{2}

Step-by-step explanation:

Area of rectangle = Product of sides

= (2x + 1) \times (3x - 5) \\  = 2x(3x - 5) + 1(3x - 5) \\  = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \:  \\  = (6 {x}^{2}   - 7x - 5) \:  {units}^{2}

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The amount of blue color in the green paint is an illustration of ratios and proportions.

Cheryl's green paint has more blue color

The proportion of blue color is calculated as:

\mathbf{Proportion = \frac{Blue}{Blue+ Yellow}}

So, we have:

\mathbf{Cheryl= \frac{16}{16+ 24}}

\mathbf{Cheryl= \frac{16}{40}}

\mathbf{Cheryl= 0.40}

Express as percentage

\mathbf{Cheryl= 40\%}

\mathbf{Rodney= \frac{6}{6+ 10}}

\mathbf{Rodney= \frac{6}{16}}

\mathbf{Rodney= 0.375}

Express as percentage

\mathbf{Rodney= 37.5\%}

By comparison: 40% >37.5%

Hence, Cheryl's green paint has more blue color

Read more about proportions at:

brainly.com/question/21126582

4 0
2 years ago
Find the distance between the pair of points<br><br> (0,0)(6,8)
Ivahew [28]
  • A(0,0)
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Distance formula

\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

\\ \sf\longmapsto  \sqrt{(6 - 0) {}^{2} +  {(8 - 0)}^{2}  }  \\ \\ \sf\longmapsto  \sqrt{ {6}^{2}  +  {8}^{2} }  \\ \\ \sf\longmapsto  \sqrt{36 + 64  }  \\ \\ \sf\longmapsto  \sqrt{100}  \\ \\ \sf\longmapsto 10

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3 years ago
The picture below shows Annie and her younger brother Tommy’s money.
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Step-by-step explanation:

Annie: 4 dollars = $4 11 dimes = 11 x 0.10 = $1.1 ( since 1 dime = 0.10 dollars)

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Tommy 3 dimes = 3 x 0.10 = $0.3 3 pennies = 3x 0.01 = $0.03

Adding the values: 4 +1.1+0.04+0.3+0.03 = $5.47

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2 years ago
Jose makes a triangle using three sticks of lengths 20 inches, 21 inches, and 28 inches. Is the
bogdanovich [222]

Answer:

no because for right angle triangle the sum of the sq of the two smallest side is equal to the sq of biggest side

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3 years ago
Victor ran 6 miles on his first day of training the next day here and 1/6 that distance how far did he run the second day.
anastassius [24]
He ran 1 mile on the second day because 6÷6 =1
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