Sarah began the school week with $2.60 in her lunch account. She deposited $20 on Monday, and then spent $4.75 each day that week for lunch. what equation was the balance in her lunch account on the end of the day on Friday?

Answer:63

Step-by-step explanation:im sure

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is [tex] P(k \ n \  u ) =   0.02957[/tex]

Step-by-step explanation:

From the question we are told that

  The total number of students is  n  = 111

    The total number of senior nutrition major  k  =  19

     The total number of junior nutrition major is u =  19  

Generally the probability that a senior Nutrition major and then a junior Nutrition major are chosen at random is mathematically represented as

     [tex]P(k \ n \ u ) = P(k) * P(u\ | \ k)[/tex]

Here [tex]P(k)[/tex] is the probability that a senior nutrition major is selected , this is mathematically represented as

       [tex]P(k) =  \frac{k}{n}[\tex]

=>     [tex]P(k) =  \frac{ 19}{111}[\tex]

and  P( u | k) is the probability that a  junior Nutrition  major is selected  given that a senior nutrition major has already been selected and this is mathematically represented as

         [tex]P( u | k) = \frac{u}{n-1}[/tex]

=>       [tex]P( u | k) = \frac{19}{111-1}[/tex]

=>       [tex]P( u | k) = \frac{19}{110}[/tex]

So

       [tex]  P(k \ n \  u ) =   \frac{ 19}{111} * \frac{19}{110} [/tex]

=>    [tex]  P(k \ n \  u ) =   0.02957[/tex]

Answer:

0.161 which is less than one

Step-by-step explanation:

Pretty simple just 0.644 × 0.25 = 0.16100

But you can take off the zeros and it is less than 1 because it is 0.161 not 1.16

Answer:

$4.50

Step-by-step explanation:

because each avocado is .50 cents.

Answer:

6(x+2)(x-5)

Step-by-step explanation:

This is factoring trinomials, so x^2+ bx+c. In order to this you need to find two integers whose product is c and whose sum is b.  Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

Step-by-step explanation:

6x^2 - 18x - 60 reducing it to a simplest form:

x^2 - 3x - 10

(x^2 - 5x) + (2x - 10)

x(x - 5) + 2(x - 5)

(x + 2)(x - 5)

Answer:

The Last One (Yellow/0.3 Orange/0.4 Green/0.15 Purple/0.15)

Step-by-step explanation:

I just took the test and got it right :)

Answer:

Step-by-step explanation:

The 1st table is correct. I put the last choice as my answer and was incorrect.

Answer:

3 food booths

Step-by-step explanation:

15* 1/5 or 15/5 = 3

Answer:

there would be 3 food booths at the fair

Step-by-step explanation:

Answer and Step-by-step explanation:

Solution:

Suppose the series:

                                     Ʃcnxn

has the radius of convergence 5,

and the series:

                        Ʃdnxn

has the radius of convergence 8.

find the radius of convergence of series:

Ʃ ( cn + dn) xn = Ʃcnxn +  Ʃdnxn

The radius of convergence of the cn series falls within the radius of dn, series.

So, both will converges for at least |x| < 5.

If we say, x = 5.5, then we get the sum of divergent series plus a convergent series, for which overall result is divergent.

For example:

∞ + a constant, gives result in ∞.

The radius of convergence is the minimum radius for which both series converges,

Which is 5.

Hence, R = 5.

Answer:

-3

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

if you divide 120(the total distance traveled) by 2(the hours that it traveled) you get 60.

the answer is 60miles/1 hour or 60mph.

explanation:

so the bus completed 120miles in 2 hours. and they want you to find the speed or miles per hour the bus traveled. all you need to do is divide 120/2= 60 so the answer would be 60 miles per hour or 60mph. you know its right because the ratio of 120:2 shows how much per 2 hours we need to divide to find out how the ratio of miles:1 hours (which is better thought of as mph= miles per each hour) to show how much for 1 you divide both sides of 120:2 by 2. so 120÷2=60 : 2÷2=1 so you found the ratio is 60 miles per hour. 60:1 i hope that helps you guys out and that i didnt confuse you more.

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[tex] \sqrt{264} = \sqrt{2 \times 11 \times 12} = \sqrt{2 \times 2 \times 2 \times 3 \times 11} = \\ [/tex]

[tex]2 \sqrt{66} [/tex]

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Answer:

[tex]2\sqrt{66}[/tex]

Step-by-step explanation:

[tex]\sqrt{264} =\sqrt{2^{3}11^{1}3^{1}} }=2\sqrt{66}[/tex]

Answer:

Expected value of the game is $1.75

Step-by-step explanation:

The probability of getting a head or a tail on flipping a coin is 1/2 and so the probability of winning is 1/2 as we need all heads or all tails . There are 3 fair coins so the expected value of winning is given by =

P(1st coin =x =head)= 1/2

P(2nd coin =x =head)= 1/2

P(3rd coin =x =head)= 1/2

P(1st coin =x =tail)= 1/2

P(2nd coin =x =tail)= 1/2

P(3rd coin =x =tail)= 1/2

E(X= win) = ∑xP(x)=  (1/2)³+(1/2)³= 1/8 + 1/8= 2/8

Expected value of winning the game is $ 7*2/8= 14/8=$ 1.75

$ 1.75- $1= $ 0.75

$ 0.75 (8) = $ 6

This means that for a total of $ 8  he gets $ 6.

Answer:

m = 5 is the answer

Step-by-step explanation:

use symbolab I use it all the time

Answer:

the slope is 5

Step-by-step explanation:

the formula is y=mx+b and in this case 5 is m which stands for the slope

Answer:

bru

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

week. 800 = 40 = week = we 2k

I don't think I can do it. sorry

Answer:

12 feet

Step-by-step explanation:

i always forget abt this thing but its important to remember the pythagorean theorm is a thing. the whole a^2 + b^2 = c^2 thing. at first i looked back at sohcahtoa but thats for an angle lol. sooooooo, knowing that the hypotenuse is the ladder and the ground is the base and seeing that we need to find a since b is the base and c is the hypotenuse, we should rearrange the equation so that we can find a so now it should look like this: c^2 - b^2 = a^2. then we plug in our numbers to get this: 15^2 - 9^2 = a^2. next we would square the 15 and 9 so now our equation looks like this: 225 - 81 = a^2. now we subtract so we have: 144 = a^2. then we should find the square root of each. the square root of a^2 is a and the square root of 144 is 12 so now we have the answer: a = 12. i hope that makes sense.

i hope this helps :))

Answer:

Step-by-step explanation:

To convert percents to decimals, remove the percent and move the decimal point 2 to the left.

4 % = [tex]\frac{4}{100}= 0.40[/tex]

37% = 0.37

400% = 4.00 = 4

9% = 0.09

180% = 1.80

Answer:

400%=4.0 180%= 1.80 37%=.37 4%=.04 9%=0.09

Step-by-step explanation:

Answer: 0.3576

Step-by-step explanation:

Let the probability that the units that have broken fans from the seven units chosen at random be x.

The probability that three of them have broken fans will be 0.3576. Check the attachment for details

Answer:

slope -1/3 y-intercept (0,4)

Step-by-step explanation:

Answer:

See attached image for the graph

Step-by-step explanation:

Start by finding at least two points on the plane that satisfy the equation, and join them with a line.

Pick good values for "x" that will make the evaluation easy (for example the number "0" and also multiples of "3":

when x = 0  then y = 0/3 - 4 = -4   then the point is (0, -4)

when x = 3 then y = 3/3 -4 = 1 - 4 = -3  then this new point is (3, -3)

when x = 6 then  y = 6/3 - 4 = 2 - 4 = -2  then a third point is (6, -2)

We plot these points on the plane, and join them with a line, s shown in the attached image.

Answer:

3units/ 5 feet = 60 units/ 100 feet3 units/ 5 feet = 18 units/ 30 feetthe dimensions of the scale drawing are 60 units by 18 units.

Step-by-step explanation:

hope this helps :))

Equation of the sinusoidal function

f(x) = 2sin(6x) - 7

A sinusoidal function is one with a smooth, repetitive oscillation. "Sinusoidal" comes from "sine", because the sine function is a smooth, repetitive oscillation.

Examples of everyday things which can be represented by sinusoidal functions are a swinging pendulum, a bouncing spring, or a vibrating guitar string.

Given,

Graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (π/4, -9)

Let function be

f(x)=asin(bx)+c           ---------(1)

When x = 0

f(0)=-7,

⇒ -7=asin(0)+c

⇒ c=-7.

When x = π/4

f(π/4)=-9,

⇒ -9=asin(bx)-7;

Sine is constrained to [-1,1], and since (π/4,-9) is a minimum,

sin(bx) must be equal to -1.

⇒ -9=a·(-1) - 7

⇒ a = 2

For minimum

-1=sin(π/4.b),

⇒ πb/4=3π/2,

⇒ b=6

Putting value of a, b, c in equation (1)

f(x) = 2sin(6x) - 7

Hence, f(x) = 2sin(6x) - 7 is the equation for sinusoidal function.

Learn more about sinusoidal function here:

https://brainly.com/question/12060967

#SPJ2

Answer:

176cm

Step-by-step explanation:

ŷ = 100.640 + 0.431x

ŷ = 100.640 + 0.431(175cm)

ŷ = 100.640 + 75.425

ŷ = 176.065

Answer:

y=-x+2, y=1/3x+2

Step-by-step explanation:

1) the y intercept is at 2, the slope is -1

2) the y intercept is at 2, the slope is 1/3

Answer:

Start at the orgin and move 23 points to the right. Next move two points down.

Step-by-step explanation:

The ordered pair is in the form (x,y)

the x-term means left or right. Left is negative and right is positive.

The y-term means up or down. Positive is up and negative is down.