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Elena is 56 inches tall. (Note: 100 inches = 254 centimeters)

Olenka [21]

Elena's height in centimeters is 142.24 cm.

Elena's height in meters is 1.42 meters.

<h3>What is Elena's height in centimeters and meters?</h3>

The mathematical operations that would be used to determine the answers ae division and multiplication.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.

In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch

1 inch = 254 / 100

1 inch = 2.54 cm

Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm

In order to determine the height in meters, first find the unit of conversion of inches to meters

1 inch = 0.0254 meters

0.0254 x 56 = 1.42 meters

To learn more about division, please check: brainly.com/question/13281206

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4 0

2 years ago

Factor each polynomial. Look for a GCF first

weeeeeb [17]

Answer:

20. $x\left(x-6\right)\left(x+8\right)$

22. $2\left(x+1\right)\left(x+4\right)$

24. $5m\left(m-1\right)\left(m+7\right)$

Step-by-step explanation:

20. $x^3+2x^{2} -48x$

The GCF is x, so you group it out of the equation first.

$x(x^{2} +2x-48)$

Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.

$?+?=2\\?*?=-48$

The two numbers would be -6 and 8. You then differentiate the squares.

$x\left(x-6\right)\left(x+8\right)$

22. $2x^{2} +10x+8$

The GCF is 2, so you must group it out.

$2(x^{2} +5x+4)$

Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.

$?+?=5\\?*?=4$

The two numbers would be 1 and 4. Finally, differentiate the squares.

$2\left(x+1\right)\left(x+4\right)$

24. $5m^{3} +30m^2-35m$

The GCF is 5m, so you must group it out.

$5m(m^2+6m-7)$

Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.

$?+?=6\\?*?=-7$

The two numbers would be -1 and 7. Finally, differentiate the squares.

$5m\left(m-1\right)\left(m+7\right)$

7 0

3 years ago

Type the correct answer in the box. Use numerals instead of words.

Karo-lina-s [1.5K]

Answer:

6

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation $y = mx + b$ .

If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

$y=-0.5x+b$

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

$1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6$

and the equation of the line is

$y=-0.5x+6$

Since b=6, the y-intercept of the line is 6.

7 0

3 years ago

Read 2 more answers

What is the solution to the equation below. square root x - 4 = -2

ArbitrLikvidat [17]

Answer:

The answer is b.

Step-by-step explanation:

x-4=-2

+4. +4

x= 2

8 0

2 years ago

Read 2 more answers

Simplify (2z^5)(12z^3)/4z^4

Sphinxa [80]

Answer:

$6z^{4}$

Step-by-step explanation:

Given in the question an expression,

$\frac{ (2z^5)(12z^3)}{4z^4}$

Step 1

Apply exponential "product rule"

$x^{m}x^{n}=x^{m+n}$

$\frac{ 12(2)z^5)(z^3)}{4z^4}$

$\frac{ (24)z^5)(z^3)}{4z^4}$

$\frac{ 24(z^{(5+3)})}{4z^4}$

$\frac{ 24(z^{8})}{4z^4}$

Step 2

Apply exponential " divide rule"

$\frac{x^{m}}{x^{n}}=x^{m-n}$

$\frac{24/4(z^{8})}{z^4}$

$\frac{6(z^{8})}{z^4}$

$\frac{6(z^{8-4})}{1}$

$6z^{4}$

5 0

3 years ago