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3 years ago

Lowest common multiple of 4 and 10

Mathematics

2 answers:

atroni [7]3 years ago

8 0

Answer: 20

Step-by-step explanation:

2^2=4

5*2=10

2^2 and 5 would be multiplied

Harlamova29_29 [7]3 years ago

6 0

Answer:

LCM of 4 and 10 is 20

Step-by-step explanation:

TO Find the LCM or Least Common Multiple we have to factor the numbers into smallest possible values bu using prime Numbers

(prime Numbers are 2,3,5,7 , .....)

factorization of numbers are

4 = 2 * 2

10 = 2 * 5

Now

Common factor between 4 and 10 is 2

Common factor will be written once because it is common in between both so

LCM = 2 * 2 * 5

(one two was common in both and on two was only in factor of 4 and not in 10)

multiplying gives

LCM = 20

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During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

Alja [10]

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

$s = 10|x - 4| + 50$

Required

Solve for x when s = 80

Substitute 80 for x

$80 = 10|x - 4| + 50$

Subtract 50 from both sides

$80 - 50= 10|x - 4| + 50 - 50$

$30= 10|x - 4|$

Divide through by 10

$\frac{30}{10}= \frac{10|x - 4| }{10}$

$3= |x - 4|$

Reorder

$|x - 4| = 3$

This can be split into

$x - 4 = 3$ or $x - 4 = -3$

Solve for x

$x = 4 + 3$ or $x = 4 - 3$

$x = 7$ or $x = 1$

Hence:

<em>The numbers of measure of music played are 1 and 7</em>

4 0

3 years ago

Find the equation of a line that passes through (2,8) and is parallel to the graph of y=2x+6. Write the equation in slope-interc

Rashid [163]

Answer:

The equation of a parallel line would be y = 2x + 4

Step-by-step explanation:

In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = 2(x - 2)

y - 8 = 2x - 4

y = 2x + 4

3 0

2 years ago

Simplify the expression –2(p 4)2 – 3 5p. what is the simplified expression in standard form? –2p2 – 11p – 35 2p2 21p 29 –2p2 13p

Aleksandr-060686 [28]

The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

<h3>What is the simplified form of an expression?</h3>

Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.

The expression which is need to be simplified is,

$-2(p +4)^2 - 3 +5p$

First of all, open the brackets, using the formula of whole square,

$-2(p^2 +16+8p) - 3 +5p\\-2p^2-32-16p-3+5p\\-2p^2-11p-35$

Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

Learn more about the simplified form here;

brainly.com/question/1597694

5 0

1 year ago

Alex purchased a new car for $28000. The car depreciates 7.25% each year. what will the price be in 5 years?

dalvyx [7]

Use the depreciation formula.

$\sf p(1-r)^n$

Where 'p' is the principal value, 'r' is the rate it depreciates, and 'n' is the time. Just plug in what we know:

$\sf 28000(1-0.0725)^5$

Simplify by subtracting:

$\sf 28000(0.9275)^5$

Simplify the exponent:

$\sf 28000(0.6864)$

Multiply:

$\sf\approx\boxed{\sf\$ 19219.20}$

8 0

2 years ago

A hot air balloon is descending at a rate of 287 feet per minute.

faust18 [17]

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.

8 0

3 years ago