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4 years ago

The difference when 7 less than a number is subtracted from twice the number 12. What is that number?

Mathematics

1 answer:

Anvisha [2.4K]4 years ago

6 0

Answer:

The number is 19

Step-by-step explanation:

7 less than a number = x - 7

2x - x - 7 = 12

Subtract x from 2x

x - 7 = 12

Add 7 to both sides of the equation

x = 19

The number is 19

Hope this helps :)

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A church window consisting of a rectangle topped by a semicircle is to have perimeter p . find the radius of the semicircle if t

Y_Kistochka [10]

Answer:

$r=\dfrac{p}{4+\pi}$

Step-by-step explanation:

Let r be the radius of the semicircle, then 2r is the width of the rectangle. Let y be the length of the rectangle. The perimeter of the window consists of two lengths, one width and length of semicircle, then

$p=2y+2r+\pi r.$

Express y:

$y=\dfrac{p-2r-\pi r}{2}.$

The area of the window is

$A=y\cdot 2r+\dfrac{1}{2}\pi r^2.$

Substitute y into the area expression:

$A=\dfrac{p-2r-\pi r}{2}\cdot 2r+\dfrac{1}{2}\pi r^2=pr-2r^2-\pi r^2+\dfrac{1}{2}\pi r^2=pr-2r^2-\dfrac{1}{2}\pi r^2.$

Find the derivative A':

$A'=p-4r-\pi r.$

Equate A' to 0:

$p-4r-\pi r=0\Rightarrow r=\dfrac{p}{4+\pi}.$

When $r$ then $A'>0$ and the function A is increasing, when $r>\dfrac{p}{4+\pi},$ then $A'$ and the function A is decreasing. This means that at point $r=\dfrac{p}{4+\pi}$ the function A takes it maximal value (the area is maximal).

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3 years ago

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of mil

Nookie1986 [14]

The <u>correct answer</u> is:

<span>c) Each point in the data set is near the regression line.

Explanation:

A best fit regression line is the line that most closely approximates the data. This means that the line must be near most of, if not all, of the points of the data set.

If this truly is the line of best fit, the points of the data will be near the line.</span>

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3 years ago

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What are the multiples of 2?

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Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

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3 years ago

What is an easy way to tell if something is linear or non-linear?

Neporo4naja [7]

Answer: If something is linear, it forms a straight line. If it is not, it looks like a floppy noodle.

Step-by-step explanation:

That’s the best way I can put it.

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4 years ago

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I need help with 5 1\2× 3 1\4 =?

sattari [20]

5 1/2 * 3 1/4

1 + 5 . 2/2 * 1 + 3 . 4/4 = 11/2 * 13/4 = 11 . 13/2 . 4 = 143/8 = 7 + 17 . 8/8 = 17 7/8

= 17 . 875

Detailed explanation of solution:

5 1/2 * 3 1/4

Transform the first mix number to improper fraction:

5 1/2 = 1 + 5 . 2/2 = 11/2

Transform the second mix number to improper fraction:

3 1/4 = 1 + 3. 4/4 = 13/4

Multiplying two fractions:

11/2 * 13/4 = 11 . 13/2 . 4 = 143/8

Since the numerator is greater than the denominator, We convert the improper fraction to mix fraction:

143/8 = 7 + 17.8/8

= 17 7/8 (Decimal: 17. 875)

Hope that helps!!!!!! ( Answer: 17 7/8, (Decimal: 17.875)

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3 years ago