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3 years ago

Which two ratios form a proportion? A) 4 20 and 1 5 B) 4 20 and 2 5 C) 20 4 and 1 5 D) 20 4 and 2 5

Mathematics

2 answers:

spayn [35]3 years ago

6 0

We have 4 / 20 = 1 / 5;

The correct answer is A);

DaniilM [7]3 years ago

5 0

You: bruh what is the answer

Me: .... Its A

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The length of a rectangle is 5 inches more than its vedth. The area of the rectangle is equal to

jarptica [38.1K]

Answer:

The width = x = 14

The length = x+5 = 14+5 = 19

Step-by-step explanation:

Let l = length, w = width, A = area = l×w , and P = perimeter = 2(l+w)

Let 'x' be the width

As the length 'l' of a rectangle is 5 inches more than its width.

so the length will be = x+5

As the Area of the rectangle is equal to 2 inches more than 4 times the perimeter.

A = 4P + 2

so the equation becomes

l × w = 4×2(l+w)+2

substituting w=x, l = x+5,

(x+5)x = 8(x+5+x)+2

x²+5x = 8(5+2x)+2

x²+5x = 40+16x+2

x²+5x = 16x+42

x²+5x-16x-42 =0

x²-11x-42=0

$x^2-11x=42$

$\mathrm{Add\:}a^2=\left(-\frac{11}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-11x+\left(-\frac{11}{2}\right)^2=42+\left(-\frac{11}{2}\right)^2$

$x^2-11x+\left(-\frac{11}{2}\right)^2=\frac{289}{4}$

$\left(x-\frac{11}{2}\right)^2=\frac{289}{4}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{11}{2}=\sqrt{\frac{289}{4}}$

$x-\frac{11}{2}=\frac{\sqrt{289}}{\sqrt{4}}$

$x-\frac{11}{2}=\frac{\sqrt{289}}{2}$

$x-\frac{11}{2}=\frac{17}{2}$

$x-\frac{11}{2}+\frac{11}{2}=\frac{17}{2}+\frac{11}{2}$

$x=14$

similarly solving

$x-\frac{11}{2}=-\sqrt{\frac{289}{4}}$

$x-\frac{11}{2}=-\frac{17}{2}$

$x-\frac{11}{2}+\frac{11}{2}=-\frac{17}{2}+\frac{11}{2}$

$x=-3$

x = 14, or x = -3

As the width 'x' can not be negative.

so x = 14

Thus,

The width = x = 14

The length = x+5 = 14+5 = 19

6 0

3 years ago

Which of the following statements is true about the graph and the shading of the inequality

andreyandreev [35.5K]

Answer:

The graph is a solid line, and the shading is above the line.

Step-by-step explanation:

Given

$x + y \ge 1$

Required

Describe the graph of the inequality

We have:

$x + y \ge 1$

Subtract x from both sides

$y \ge 1-x$

The sign $\ge$ implies that the graph has a solid line

The sign $\ge$ which means greater than or greater also implies that the upper region is shaded

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3 years ago

What is the Interquartile range of these numbers

ra1l [238]

20.5 is the IQR of the given set of numbers.

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3 years ago

The first number in a pattern is 246, and the rule is subtract 10. What is the next number in the pattern?

kumpel [21]

Answer : 236
246 - 10 = 236

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3 years ago

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Equivalent fractions are always larger than orginal fraction true or false?

ioda

The answer is false. They are the same

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3 years ago