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3 years ago

The sum of four consecutive whole numbers is 94.what is the largest numbers?

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

Answer: 25

Step-by-step explanation: This problem states that the sum of four consecutive whole numbers is 94 and it asks us to find the largest number.

Three consecutive whole numbers can be represented as followed.

X ⇒ first number

X + 1 ⇒ second number

X + 2 ⇒ third number

X + 3 ⇒ fourth number

Since the sum of our four consecutive whole numbers is 94, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 94

We can combine the x's on the left side of the equation and combine the numbers as well.

4x + 6 = 94

-6 -6 ← subtract 6 from both sides of the equation

4x = 88

÷4 ÷4

X = 22

X ⇒ first number = 22

X + 1 ⇒ second number = 23

X + 2 ⇒ third number = 24

X + 3 ⇒ fourth number = 25

Therefore, the largest number would be 25.

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What is the gcf In this problem

scoray [572]

Find the GCF of 88 and 24 first

88=2*2*2*11
24=2*2*2*3

The GCF for 88 and 24 is 8
The GCF for r^18 and r^13 is r^13 (because they both contain r^13 in them)

=8r^13(11, 3)

Hope I helped :)

8 0

3 years ago

Graph the line passing through the given point and having the given slope (0,3), m=4

andriy [413]

Hint :-

To find out the equation of the line we can use the point slope form of the line which is $y - y_1 = m(x-x_1)$

Solution :-

The given point to us is , $(0,3)$ and the slope of the line is 4 . On using the point slope form , we have ,

$\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}$

Hence the equation is 4x - y + 3 = 0 

( for graph , see attachment ) .

3 0

3 years ago

How do you do this problem? I need to know how you found the answer.

Alexxandr [17]

to get the equation of a line, we simply need two points, say for the Red one ... notice in the graph the lines passes through (0,2) and (-1,6), so let's use those

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{-1-0}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=-4(x-0) \\\\\\ y-2=-4x\implies \blacktriangleright y=-4x+2 \blacktriangleleft$

now, for the Blue one, say let's use hmmm it passes through (0,2) and (1.6)

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{1-0}\implies \cfrac{4}{1}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=4(x-0) \\\\\\ y-2=4x\implies \blacktriangleright y=4x+2 \blacktriangleleft$

3 0

3 years ago

If we digitized music in stereo using 24 bits per sample and sampling the analog signal 96,000 times per second, this would gene

ryzh [129]

The bit stream generated on kilobyte per second would be 2304 kilobytes per second.

Given the Parameters :

Number of bits per sample = 24 bits

Sampling frequency = 96000 times per second

The bit rate = Sampling frequency × Number of bits per sample

The bit rate = 24 × 96000 = 2,304,000 bits per second

Converting bits to kilobytes ;

1 kilobytes = 1000 bits

(2,304,000 bits per second ÷ 1000) = 2304 kilobytes per second

Therefore, the bit stream generated would be 2304 kbps

Learn more :brainly.com/question/18109354

6 0

3 years ago

Hey! please help me with this question

astraxan [27]

The answer is 1/4 or 0.25.

steps:
first look in the parenthesis and notice that the denominator is not the same. set the denominator to 6 for the fraction 1/3 by multiplying 3(2) and 1(2) which makes the fraction 1/6. now add -5/6 and 1/6 inside the parenthesis. you should get -3/6 which you should put in the simplest form: -1/2. now combine -1/2 and -1/2 to get 1/4

4 0

3 years ago