Sara uses ribbon to make hair bows. The length of each ribbon Sara uses is represented by the line plot shown. What is the difference, in feet, between one of the pieces of ribbon that has the longest length and one of the pieces that has the shortest length?

Answer:y=2.5x

Step-by-step explanation:

We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.

To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

m= Slope (rate of change).

=Difference between two y-coordinates.

=Difference between corresponding x-coordinates of the y-coordinates.    

Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,  

The slope of our given line is 2.5.  

Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).

Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,

Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,

Therefore, the equation  will give the number of servings y in x pints.

Answer:

x = 4

Step-by-step explanation:

here's my work :D

Answer:

x = 4

Step-by-step explanation:

3/4(x + 8) = 9 <== convert the fraction to a decimal

0.75(x + 8) = 9 <== distribute

0.75x + 6 = 9 <== subtract 6 from both sides

          - 6   - 6

0.75x = 3 <== divide both sides by 0.75 to isolate the variable

/0.75    /0.75

x = 4

Hope this helps!

Answer: d credit history

Step-by-step explanations :

Answer:

263 degrees......... ........

Step-by-step explanation:

263 is the answer.

Answer:

$21.54

Step-by-step explanation:

89.75 x .2 = 17.95

17.95+89.75=107.70

107.70/5=21.54

Answer:

its dark blue

Step-by-step explanation:

Answer: W is now at (2,-3)

Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).

Answer:

C

Step-by-step explanation:

The total population of Deer's in the given span area is 5852 Deer's.

Population density is defined as the total number of humans presence

per unit square miles. Mathematically, we can write -

Population density = (Total human population)/(Total span area)

Given is that a county in north Carolina spans 532 square miles. the population density of deer in the county is 11 deer per square mile

We can write the total population of Deer's in the given span area as -

Population = Deer's population density x total area span

Population = 11 x 532

Population = 5852

Therefore, the total population of Deer's in the given span area is 5852 Deer's.

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Answer:

x=x2-24/5

2 −24

​

Step-by-step explanation:

x2−5x−24=0

Add 5x to both sides. Anything plus zero gives itself.

x

2

​

−24=5x

Add 24 to both sides.

x

2

​

=5x+24

Answer:

the answer is 84

Answer:

Your answer is B) 3.6 cm.

Step-by-step explanation:

10 mm = 1 cm. To convert 36 mm to cm all you have to do is divide by 10.

36/10 = 3.6

So, 36 mm = 3.6 cm.

In the future, if you were to convert cm to mm, just multiply by 10.

Answer:

[tex]\ln z + 8\ln (z-1)[/tex]

Step-by-step explanation:

[tex]\ln z(z-1)^8[/tex]

Using the product rule: [tex]\ln(xy)=\ln x + \ln y[/tex]

[tex]\implies \ln z + \ln (z-1)^8[/tex]

Using the power rule:  [tex]\ln x^n=n \ln x[/tex]

[tex]\implies \ln z + 8\ln (z-1)[/tex]

[tex]\\ \rm\Rrightarrow lnz(z-1)^8[/tex]

[tex]\\ \rm\Rrightarrow lnz+ln(z-1)^8[/tex]

[tex]\\ \rm\Rrightarrow lnz+8ln(z-1)[/tex]

Answer:

Step-by-step explanation:

f(x) = (-2)^x

x = 3 from the left

f(3) = (-2) ^3

f(3) = (-2) *  (-2) *  (-2)

f(3) = - 8

You have to realize that you are working with an exponential equation (that is x is a power, not a variable. A variable equation would be written as y = 3x

Answer:

it will take 4 seconds

it takes the puppy 25 seconds and the cat 20 seconds

20+25= 45

180 divide by 45 = 4 seconds your answer is 4 seconds

your welcome!

Answer:

6w

Step-by-step explanation:

Multiply the constant by the coefficient.

2 times 3 is 6 and since there's a w beside 3, you'd have 6w.

Answer:

its 945 or 982

Step-by-step explanation:

Answer:

please where is the diagram

3x + 27 =180

-27

3x = 153

÷3

x = 51

a=142

(vertically opposite angles are equal)

Reflex angles adds up to 360

360 - (142x2) = 76

76/2 = 38

t & c = 38

Hope this helps!

Answer:

Here you go :) if you need anything tell me!

Check the picture below.

so the deck is a 72x52 rectangular area, and the pool is simply two semicircles with a rectangle, as you see in the picture, we can put both semi-circles and make one circle with their area, so both together are really the area of a circle whose diameter is 29, and thus its radius is half that or 14.5.

Now, the area Belvedere is going to seal is really the "shaded" or bricked area, if we take the area of the whole deck, including the pool, and then get the area of the pool and subtract it from that of the deck's, what's leftover, is the area that wasn't subtracted, namely the "shaded" area.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\stackrel{deck's}{rectangle}}{(72)(52)}~~ - ~~\stackrel{\stackrel{pool's}{rectangle}}{(40)(29)}~~ - ~~\stackrel{\stackrel{pool's}{circle}}{\pi (14.5)^2}}\implies 3744~~ - ~~1160~~ - ~~210.25\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{using~\pi =3.14}{\approx 1923.8}~\hfill[/tex]

So

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin45=\dfrac{P}{6}[/tex]

[tex]\\ \rm\Rrightarrow\dfrac{1}{\sqrt{2}}=\dfrac {P}{6}[/tex]

[tex]\\ \rm\Rrightarrow P=\dfrac{6}{\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow P=3\sqrt{2}[/tex]

Answer:

pls why did you decide to type vertically, you could have typed it horizontally for clearer understanding, thanks.

Step-by-step explanation:

by my analysis

the answer should be the first option

3x to the 4th power

mathematically 3x^4.

Answer:

undefined

Step-by-step explanation:

Since, the terminal point of  is (x,y), thus

[tex]tan[/tex] Ø [tex]\frac{y}{x}[/tex]

x-coordinate is 1 and the y-coordinate is 0. Using [tex]tan0=\frac{y}{x}[/tex] we get:

[tex]tan[/tex] ∅ [tex]=\frac{1}{0}[/tex]

[tex]tan[/tex] ∅ [tex]=0[/tex]

Therefore, tan Ø is undefined.

Or we can just do 1/0  which is undefined

~Lenvy~

Your answer is 4.

Explanation:--

The Mean of the Data set is ---

2+5+1+7+6+4+3

7

= 4.

Hence, Mean of the data set is 4.

Answer:

To find the mean, you must add all the numbers and divide it by the amount of numbers in the set.

2 + 5 + 1 + 7 + 6 + 4 + 3
= 28
28 divided by 7 = 4

The answer is 4

Step-by-step explanation:

The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.

In the world of finance, the arithmetic mean is not usually an appropriate method for calculating an average, especially when a single outlier can skew the mean by a large amount.

Other averages used more commonly in finance include the geometric and harmonic mean.

Answer:

a) 5.85

b) 0.0004

Step-by-step explanation:

[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]

The linear system with two variables is used to find the price. The price of each game is $60 and the price of each controller is $30.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A customer at a video game store pays $420 for 6 games and 2 controllers.

A second customer pays $180 less than the first customer for 2 games and 4 controllers.

The price of each game is the same, and the price of each controller is the same.

Let x be the price of games and y be the price of the controller. Then the equations will be

6x + 2y = 420  ...1

2x +  4y = 240  ...2

By solving the equations 1 and 2, then we have

x = 60 and y = 30

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Answer:

yes

Step-by-step explanation:

I believe the yes is yes

Charlene has a monthly salary of $3,410. with her present budget, the corrected net income is $113.70

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Charlene has a monthly salary = $3,410.

Charlene has a net income that is 7% of her monthly salary.

The computation of the new net income is shown below

= Monthly salary × net income percentage - reduced amount of net income per month

= $3,410 × 7% - $125

= $113.70

Hence, the corrected net income is $113.70

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