help me to do this question friends ​

Let the balance = Y and the number of weeks = x

She takes out 15 per week, so multiply 15 by x ( the number of weeks) to get 15x.

You would then want to subtract that from the amount she started with in her account.

The equation becomes: Y = 150 - 15x

recall your d = rt, distance = rate * time.

w = speed of the wind.

14 = speed of the bicycle without wind.

now, against the wind, the bicycle is not really going 14 mph fast, is really going "14 - w", since the wind is eroding speed from it, likewise, when the bicycle is going with the wind is not going 14 mph fast either, is really going "14 + w" due to the wind adding speed, let's say it took "t" hours against and also "t" hours with it.

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&10&14-w&t\\ \textit{with the wind}&20&14+w&t \end{array}~\hfill \begin{cases} 10=(14-w)t\\ \frac{10}{14-w}=\boxed{t}\\ \cline{1-1} 20=(14+w)t \end{cases}[/tex]

[tex]\bf 20=(14+w)t\implies \cfrac{20}{14+w}=t\implies \stackrel{\textit{substituting in the 2nd equation}}{\cfrac{20}{14+w}=\boxed{\cfrac{10}{14-w}}} \\\\\\ 280-20w=140+10w\implies 280=140+30w\implies 140=30w \\\\\\ \cfrac{140}{30}=w\implies \cfrac{14}{3}=w\implies 4\frac{2}{3}=w[/tex]

[tex]\huge{\boxed{n=-4}}[/tex]

[tex]\begin{array}{cc}\begin{flushright}\text{Divide both sides of the equation by 3.}\end{flushright}&\begin{flushleft}-4n-9=7\end{flushleft}\\\begin{flushright}\text{Add 9 on both sides.}\end{flushright}&\begin{flushleft}-4n=16\end{flushleft}\\\begin{flushright}\text{Divide both sides by -4.}\end{flushrigh}&n=-4\end{array}[/tex]

Answer:

[tex]\Huge \boxed{n=-4}[/tex]

Step-by-step explanation:

First thing you do is divide by 3 from both sides of equation.

[tex]\displaystyle \frac{3(-4n-9)}{3}=\frac{21}{3}[/tex]

Simplify.

[tex]\displaystyle -4n-9=7[/tex]

Then add by 9 from both sides of equation.

[tex]\displaystyle -4n-9+9=7+9[/tex]

Simplify.

[tex]\displaystyle 7+9=16[/tex]

[tex]\displaystyle -4n=16[/tex]

Divide by -4 from both sides of equation.

[tex]\displaystyle \frac{-4n}{-4}=\frac{16}{-4}[/tex]

Simplify, to find the answer.

[tex]\displaystyle 16\div-4=-4[/tex]

[tex]\huge\boxed{\textnormal{N=-4}}[/tex], which is our answer.

================================================

Explanation:

The letter T is the 20th letter in the English alphabet. This means that there are 20 letters to pick from to go with the 10 single digit numbers to pick from. We have 20*10 = 200 different combinations (eg: one combination is K4).

Out of these 200 combinations, there is exactly one winning match.

The probability of winning is therefore P(W) = 1/200 = 0.005 and the probability of losing is P(L) = 1-P(W) = 1-0.005 = 0.995 where W and L represent winning and losing respectively.

The net value of winning is V(W) = 250 - 1 = 249 because the player wins $250 but they lose $1 (which is the cost of the ticket). The net value of losing is V(L) = -1, indicating the player has lost that $1 and hasn't gained any money at all.

-----------

To summarize so far:

P(W) = 0.005

P(L) = 0.995

V(W) = 249

V(L) = -1

Multiply the probability P values with the corresponding net values V, then add up the products to get the expected value:

E(X) = P(W)*V(W) + P(L)*V(L)

E(X) = 0.005*249 + 0.995*(-1)

E(X) = 0.25

The expected value is 0.25 dollars or 25 cents

This positive expected value means that the game is favored toward the player, because over the long run, the player gains an average of 25 cents each time they play. On the other side of the spectrum, the lottery company loses on average 25 cents each time. The nonzero expected value means that the game is not fair.

Answer:

-2k + 6

Step-by-step explanation:

-2k - (-5) + 1 //-1 times -5 = 5 ( - - gives +)

-2k + 5 + 1 //Combine like terms

-2k + 6

Remember you can't add or sub -2k with 6 since -2 is multiplying with k (which is constant and you don't know it's value)

//Hope this helps

Answer:

-2k+6

Step-by-step explanation:

First you must solve system of equations.

Multiply the first equation by 4 and second one by 3.

You result with,

[tex]

16x-12y=4 \\

15x+12y=27

[/tex]

Add the equations so y terms cancel out.

[tex]31x=31\Longrightarrow x=1[/tex]

Insert x that was found in either one of the equations. I'll pick first one.

[tex]4\cdot1-3y=1[/tex]

Solve for y.

[tex]

-3y=-3 \\

y=1

[/tex]

The solutions to the system of equations are,

[tex]\boxed{x=1},\boxed{y=1}[/tex]

Therefore the number missing is 1.

Hope this helps.

r3t40

Answer:

(1,1)

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2/10=3/x-9

2(x-9)=30

2x-18=30

2x=30+18

2x=48

x=24

Answer:

The value of x in the given phrase is 24.

Step-by-step explanation:

Given phrase,

2 over 10 equals 3 over quantity x minus 9

[tex]\frac{2}{10}=\frac{3}{x-9}[/tex]

By cross multiplication,

[tex]2x-18=30[/tex]

Adding 18 on both sides,

[tex]2x=48[/tex]

Divide both sides by 2,

[tex]x=24[/tex]

Hence, the value of x is 24.

Answer: C.

Step-by-step explanation: A cube’s volume is Length x Width x Height. Since a cube has all equal sides, a perfect cube would have 3 of the same numbers being multiplied, 8 x 8 x 8.

Option c is correct, 512 is a perfect cube because 512=8×8×8 is a correct statement about perfect cube.

A number system is defined as a system of writing to express numbers.

A perfect cube of a number is a number that is equal to the number, multiplied by itself, three times.

25 is not a perfect cube but it is a perfect square

30 is not a perfect cube

512 is a perfect cube because 8³=512

512=8×8×8

1875 is not a perfect cube.

Hence, 512 is a perfect cube because 512=8×8×8 id a correct statement about perfect cube.

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Answer:

See below.

Step-by-step explanation:

a. That would be a cylinder.

b.The height of the cylinder will be n * thickness of one circle where  n is the number of circles.  The volume of the cylinder is π r^2 h where h is the height of the stack.

c.  That would be a cone

d. The height of the cone will be n * thickness of one circle where n is the number of similar circles.

Volume of the cone = 1/3 * π r^2  h    where h is the height of the stack of circles.

Answer:

The houses surveyed had between 1 and 10 rooms ..

Step-by-step explanation:

We can see from the histogram that the minimum number of rooms any house had was 1 and the maximum number of rooms were 10.

Range is the difference between highest and lowest value of a data set.

Hence, the range from the given histogram can be determined as:

The houses surveyed had between 1 and 10 rooms ..

Answer:  The houses surveyed had between 1 and 10 rooms.

Step-by-step explanation:

From the histogram, the minimum number of rooms = 1

The maximum number of rooms = 10

Hence, the range of rooms in Henry's histogram is between 1 and 10 rooms.

Step-by-step explanation:

[tex]1a.\\ 8-y=2\qquad\text{subtract 8 from both sides}\\-y=-6\qquad\text{change the signs}\\\boxed{y=6}\\\\1b.\\11-9=2-b\\2=2-b\qquad\text{subtract 2 from both sides}\\0=-b\to \boxed{b=0}\\\\2a.\\5=\dfrac{c}{3}\qquad\text{multiply both sides by 3}\\15=c\to \boxed{c=15}\\\\2b.\\2=5-t\qquad\text{subtract 5 from both sides}\\-3=-t\qquad\text{change the signs}\\3=t\to\boxed{t=3}\\\\3a.\\5n=10\qquad\text{divide both sides by 5}\\\boxed{n=2}\\\\3b.\\a+6=12\qquad\text{subtract 6 from both sides}\\\boxed{a=6}[/tex]

[tex]4a.\\v-10=7\qquad\text{add 10 to both sides}\\\boxed{v=17}\\\\4b.\\7=7n+7n\\7=14n\qquad\text{divide both sides by 14}\\\dfrac{7}{14}=n\\\boxed{n=\dfrac{1}{2}}\\\\5a.\\m+11=12\cdot4\\m+11=48\qquad\text{subtract 11 from both sides}\\\boxed{m=37}\\\\5b.\\6y=7+5\\6y=12\qquad\text{divide both sides by 6}\\\boxed{y=2}\\\\6a.\\b-8=3\qquad\text{add 8 to both sides}\\\boxed{b=11}\\\\6b.\\1+c=8\qquad\text{subtract 1 from both sides}\\\boxed{c=7}[/tex]

Answer:

6 seconds

Step-by-step explanation:

First: equalize the equation to zero

f(t) = -5t² + 20t + 60

-5t² + 20t + 60 = 0

Second: find its roots

-5(t² - 4t - 12) = 0

-5 (t - 6)(t + 2) = 0

[tex]t - 6 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t + 2 = 0 \\ t = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t = - 2[/tex]

Time can't be negative so the answer is: it takes 6 seconds to hit the ground

Answer:

x = 3.5

Step-by-step explanation:

To solve this you need to solve for x.

This is a two step equation so you need to first subtract 5 from itself and whatever you do to one side of the equation you have to do to the other side as well.

So 5 - 5 = 0

12 - 5 = 7

Then the equation becomes 2x = 12

Now it is a one step equation, so find the inverse operation of multiplication, which is division .

So 2 divided by 2 is 1 which also equals x by itself

7 divided by 2 equals 3.5

So x = 3.5

Answer:

[tex]\huge\boxed{x=\frac{7}{2}, x=3.5}[/tex]

Step-by-step explanation:

Subtract by 5 from both sides of equation.

[tex]\displaystyle 2x+5-5=12-5[/tex]

Simplify.

[tex]\displaystyle 12-5=7[/tex]

[tex]\displaystyle2x=7[/tex]

Divide by 2 from both sides of equation.

[tex]\displaystyle \frac{2x}{2}=\frac{7}{2}[/tex]

Simplify, to find the answer.

[tex]\displaystye x=\frac{7}{2}, x=3.5[/tex]

x=7/2 and x=3.5 is the correct answer.

Answer:

The answer is the attached figure

Step-by-step explanation:

* Lets explain mutually exclusive and non-mutually exclusive

- The mutually exclusive means events cannot happen  at the

 same time

# P(A or B) = P(A) + P(B)

- The non-mutually exclusive means they  have at least one

 outcome in common

# P(A or B) = P(A) + P(B) - P(A and B)

* Lets solve the problem

∵ Events A and B are mutually exclusive

∵ Circle A represents the event A

∵ Circle B represents the event B

∴ There is no intersection between the two circles A and B

∵ Events B and C are non-mutually exclusive

∵ Circle C represents the event C

∴ There is an intersection between the two circles B and C

* The answer is the attached figure

Answer: D. image 4.

Just did assignment.

[tex]\huge{\boxed{66}}[/tex]

Start by substituting in the values. [tex]3(2)+6(8+2)[/tex]

Add. [tex]3(2)+6(10)[/tex]

Multiply. [tex]6+60[/tex]

Add. [tex]\boxed{66}[/tex]

Answer:

Step-by-step explanation:

3a+6(b+2)

=3(2)+6(8+2)

=6+6(10)

=6+60

=66

Answer:

4.847

Step-by-step explanation:

divide 8.24 by 1.7

8.24 /1.7 = 4.847

For this case we have the following operation:

[tex]\frac{8.24} {1.7}[/tex]

We must find the final result after the division.

To do this, we can use a calculator or a computer program.

We then have to do the division:

[tex]\frac{8.24} {1.7} = 4.94[/tex]

Answer:

The total ratio is given by: 4.94.

Answer:

32.27°

Step-by-step explanation:

Convert 32° 15' 66'' to the nearest hundredth of a degree

we know that

1 degree=60 minutes

1 minute=60 seconds

1 degree=3,600 seconds

step 1

Convert 15' to degrees

15'=15/60=0.25°

step 2

Convert 66'' to degrees

66''=66/3,600=0.02°

substitute

32° 15' 66''=32° +0.25°+0.02°=32.27°

Answer:

Assign numbers to each client and then use a random number generator to choose one hundred clients to survey.

Step-by-step explanation:

I think the best method would be:

Assign numbers to each client and then use a random number generator to choose one hundred clients to survey.

It is the best way to choose a random sample as it is a fair representation of her all customers. In this sample all of her costumers will be assigned numbers and will be chosen randomly. ...

You could multiply 19.45 by 0.2 to solve for it, but if you're not using a calculator, then 19.45/5 would be much more convenient and easier.

0.2 is 1/5 in fraction form, which is why we can do that.

19.45/5 = 3.89

Dino should leave $3.89 as a tip.

Answer:

$3.89

Step-by-step explanation:

X = 20

19.45 = 100

19.45*20=389

389/100=$3.89

ANSWER

(10,100) is the correct answer

Answer:

The correct option is 3. The possible domain and range of the function is (10, 100).

Step-by-step explanation:

It is given that a bakery's production is modeled by function f(x), where

f(x) = The number of donuts made in a day

x = The number of bags of flour needed.

The number of donuts made in a day and the number of bags of flour needed can not be a fraction value of a negative number. So, the values of x and f(x) can not defined by negative or decimal numbers.

In ordered pair (-1,15), the value of x is negative, so option 1 is incorrect.

In ordered pair (5,92.75), the value of y is in decimal, so option 2 is incorrect.

In ordered pair (10,100), both coordinates are positive integers, so option 3 is correct.

In ordered pair (-5,110.5), the value of x is negative and the value of y is in decimal, so option 4 is incorrect.

The possible domain and range of the function is (10, 100). Therefore the correct option is 3.

Answer:

The equation is 10x - 960y = 96

A = 10 , B = -960 , C = 96

Step-by-step explanation:

* Lets explain the standard form of the linear equation

- The standard form of the linear equation is :

 AX + BY = C , where A , B , C are constant

- A is a positive integer, and B, and C are integers

- The slope of the line is -A/B

- The y-intercept is C/A

- Lets solve the problem

∵ The equation of the line is 8y = 1/12 x - 0.8

- At first multiply the equation by 12 to make the coefficient of x integer

∴ (8 × 12) y = (1/12 × 12) x - (0.8 × 12)

∴ 96y = x - 9.6

- Multiply the two sides of the equation by 10 to make 9.6 integer

∴ (96 × 10) y = (1 × 10) x - (9.6 × 10)

∴ 960y = 10x - 96

- Add the two sides by 96

∴ 960y + 96 = 10x

- Subtract 960y from both sides

∴ 96 = 10x - 960y

∴ The standard form of the equation is 10x - 960y = 96, where

  A = 10 , B = -960 , C = 96

49/b - 5 = 2

First add 5 to both sides:

49/b = 7

Multiply both sides by b:

49 = 7b

Divide both sides by 7:

b = 49/7

b = 7

Answer:

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - edge

We have a = 8cm.

Substitute:

[tex]V=8^3=512\ cm^3[/tex]

Answer:

512 square centimeters

Step-by-step explanation:

have a great day :)

Answer:

a) 16.7

b) 13.5

Step-by-step explanation:

AC and DE are parallel, so ∠CAB and ∠EDB are corresponding angles, and ∠ACB and ∠DEB are corresponding angles.

Therefore, ΔABC and ΔDBE are similar triangles.  We can use this to write a proportion.

a)

(25 + x) / (18 + 12) = x / 12

12 (25 + x) = x (18 + 12)

300 + 12x = 30x

300 = 18x

x = 16.7

b)

x / (7 + 2) = 3 / 2

x = 13.5

First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.

Linear function has a form of,

[tex]y=mx+n[/tex]

Then calculate the slope m using the coordinates of two points. Let say A(x1, y1) and B(x2, y2),

[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Now pick a point either A or B and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point A.

[tex]y_1=mx_1+n[/tex]

From here you solve the equation for n,

[tex]

y_1=mx_1+n\Longrightarrow n=y_1-mx_1

[/tex]

So you have slope m and variable n therefore you can write down the equation of the line,

[tex]f(x)=m_{slope}x+n_{variable}[/tex]

Hope this helps.

r3t40

Answer:

[-1,1]

Step-by-step explanation:

The question in English is

which of the following intervals contains the number 0?

case A) (0,1]

All real numbers greater than zero (the number 0 is not included) and less than or equal to 1 (the number 1 is included)

case B) [-1,1]

All real numbers greater than or equal to -1 (the number -1 is included) and less than or equal to 1 (the number 1 is included)

In this interval is included the number 0

case C) [-1,0)

All real numbers greater than or equal to -1 (the number -1 is included) and less than 0 (the number 0 is not included)

Answer:

I will assume

h = 82.5 sin (3 pi (t+0.5) )+97.5 , (you had no equation and no h)

so when t = 6

h = 82.5 sin (3π(6.5)) + 97.5

= 82.5(-1) + 97.5 = 15

check: period = 2π/(3π) = 2/3 minutes (that is a fast ride considering how huge it is)

So 6 ÷(2/3) = 9 , at the 6 minute mark, the last passenger has just completed 9 rotations.

the min height of the basket is -82.5 + 97.5 = 15

( the min value of 82.5 sin(anything) = 82.5(-1) )

so the last passenger must be at the platform level.

how did you get 79 ???

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The polynomial (x+4)(x-1)(x-2)(x-4) has zeros at x=-4,1,2,4.

The related polynomial equation is (x+4)(x-1)(x-2)(x-4)=0.

In order for this equation to be true at least one of the factors must by 0 that is the only way a product can be zero (if one of it's factors is).

So you wind up needing to solve these 4 equations:

x+4=0            x-1=0          x-2=0             x-4=0

x=-4                 x=1              x=2                   x=4

First equation, I subtracted 4 on both sides.

Second equation, I added 1 on both sides.

Third equation, I added 2 on both sides.

Fourth equation, I added 4 on both sides.

-4,1,2,4 are all integers

Integers are real numbers.

So A.

The polynomial (X+4)(x-1)(x-2)(x-4) corresponds to option A: The related polynomial equation has a total of four roots; all four roots are real, with no root having a multiplicity. Hence the correct answer is A.

To match the polynomial (X+4)(x-1)(x-2)(x-4) to the correct description, we can look at its factors to determine the roots. Each factor of the form (x - c) represents a real root at x = c. For this polynomial, the factors indicate there are four roots: -4, 1, 2, and 4. These roots all come from different factors, so there is no repeated root, implying no multiplicity among them. Hence, the correct description must state that there are four real roots and none of them is repeated.

Since options B, C, E, and F suggest either roots with multiplicity, a mixture of real and complex roots, or fewer than four roots, they are not correct. Therefore, this leaves us with option A as the correct match: The related polynomial equation has a total of four roots; all four roots are real. None of the roots are repeated, there are no complex roots, and all roots can be identified directly from the given factors of the polynomial.

Answer:

C. 18

Step-by-step explanation:

Both triangle are same (compared with angles), but are different size.

This is based on simple ratio.

AB/AC = DE/DF

27/15 = x/10 //Multiply both sides by 10

270/15 = x

x = 18

Therefore DE is 18.

Hence, the length of DE is 18.

Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.

It can be observed that the given 2 triangles are similar.

we know, for similar triangles, the ratio of corresponding sides is equal.

Hence,

          [tex]\frac{15}{10} = \frac{27}{x}[/tex]

          [tex]x = 18[/tex]

Therefore, the value of x is 18.

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Answer:

Amplitude = 1 foot; period = 12 hours; midline: y = 5

Step-by-step explanation:

The Chesapeake Bay tides vary between 4 feet and 6 feet.

This means the range is

[tex]4 \leqslant f(t) \leqslant 6[/tex]

The period is the length of the interval on which the function completes one full cycle.The tide is at its lowest point when time (t) is 0 and completes a full cycle in 12 hours.

The interval is [0,12] and its length is 12, hence the period is 12.

The midline

[tex]y = \frac{min + max}{2} [/tex]

[tex]y = \frac{4 + 6}{2} = 5[/tex]

The amplitude is the distance from the midline to the peak.

The amplitude is |5-4|=|5-6|=1

The first choice is correct.

The amplitude of the function modeling the Chesapeake Bay tides is 1 foot, the period is 12 hours, and the midline is at y = 5 feet.

The amplitude of a function that models a periodic phenomenon, like the tides in this case, is half of the total variation in height. Since the tides vary between 4 feet and 6 feet, the total variation is 2 feet (6 feet - 4 feet), and thus, the amplitude is 1 foot (2 feet / 2).

The period of the function is the time it takes for the tidal cycle to repeat itself. Given that the tide completes a full cycle in 12 hours, the period of the function is 12 hours.

The midline represents the average value around which the tide oscillates. It can be found by averaging the maximum and minimum tide levels. Therefore, the midline is (4 feet + 6 feet) / 2 = 5 feet.

Considering these calculations, the correct amplitude is 1 foot, the period is 12 hours, and the midline is y = 5 feet for the function that would model the periodic phenomenon of the Chesapeake Bay tides.