the original price of a backpack is $20. The sale price is 30% off the original price. What is the sale price of the backpack?

Answer:

Step-by-step explanation:

There is no graph.

Answer:

5x−2y=−5, Eqn (1). y−5x=3, Eqn (2). y

Step-by-step explanation:

Answer:

y=1600

x=2400

Step-by-step explanation:

x+y=4000

solve for a variable

x=4000-y

plug this into .06x+.11y=320 (the interest from account 1 + account 2 must equal 320)

.06(4000-y)+.11y=320

240-.06y+.11y=320

minus 240 both sides

-.06y+.11y=80

combine terms

.05y=80

divide by .05

y=1600

to find x you subtract 1600 from 4000 to get 2400

remember, your equation must be x+y=4000

x+1600=4000

-1600

x=2400

This question is not correctly written

Complete Question

A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?

Answer:

7.26ft/s

Step-by-step explanation:

A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?

Let x = distance of person to the tip of the lamp post

= 6/x = 11/d

Cross Multiply

6d = 11 x....... Equation 1

The constant rate of the person = 3.3 ft/s

= Distance of the person to the pole = Speed × time

= 3.3 × t

d = 3.3t

x = d - 3.3t

Substitute d - 3.3t for x in Equation 1

6d = 11x

6d = 11(d - 3.3t)

6d = 11d - 36.3t

36.3t = 11d - 6d

36.3t = 5d

d = 36.3/5

d = 7.26 ft/s

Answer:

$12.500

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

its hard to explian how to do it but you can find a video im sure

Answer:

its something like 9-n x 2

Step-by-step explanation:

9 - n x 2

Answer: 2(x-9)

Step-by-step explanation:

trust me ;)

Answer:

A

Step-by-step explanation:

Answer:

It's A 30%

Step-by-step explanation:

Answer:

The value is  [tex]n_2 = 260[/tex]

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the width of  a confidence interval is dependent on the margin of error which is mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * \frac{ \sigma}{\sqrt{n} }[/tex]

Here [tex]\sigma[/tex] is the standard deviation  

Let assume that [tex]\sigma[/tex] and  [tex]Z_{\frac{\alpha }{2} } [/tex] are constant for the width of the confidence interval when the sample size is  n =65 and now that it has been divided to two

=>  [tex]E = \frac{ K }{\sqrt{n} }[/tex]

Here  K is a constant  

=>   [tex]E * \sqrt{n} = K[/tex]

=>    [tex]E_1 * \sqrt{n}_1 = E_2 * \sqrt{n}_2[/tex]

Now let [tex]E_1 \ and \ n_1[/tex] be the margin of error and sample size before the reduction

  So [tex]n_1 = 65[/tex]

and let [tex]E_2 \ and \ n_2[/tex] be the margin of error and sample size after the reduction  

    So  [tex]E_2 = \frac{1}{2} E_1[/tex]

=>   [tex]E_1 * \sqrt{65} = \frac{E_1}{2} * \sqrt{n}_2[/tex]

=>   [tex]\sqrt{65} = \frac{1}{2} * \sqrt{n}_2[/tex]

=>   [tex]n_2 = 260[/tex]

Answer:

53m

Step-by-step explanation:

Let x = the width

Let y = the length

5x + 3 = y

2x + 2y = 126

Plug in 5x + 3 for y in the second equation

2x + 2(5x + 3) = 126

Distribute the 2

2x + 10x + 6 = 126

Combine like terms

12x + 6 = 126

Subtract 6 from both sides

12x = 120

Divide both sides by 12

[tex] \frac{12x}{12} = \frac{120}{12} [/tex]

x = 10

Remember x = width. You are looking for length.

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

Answer:

Step 1.

Step-by-step explanation:

You can't multiply sum of 2 random digits to the power of 3.

Answer:

x-intercept(s):(5/2,0)

y-intercept(s): (0,5)

Step-by-step explanation: i think thats right idk

Answer:

the y intercept is (0,5) and the x intercept is ( 2.5,0)

Step-by-step explanation:

I know this because khan academy gave me the answer

its not 5/2 or 2/5 for the x intercept

Answer:

a. R(t) = 2t - 500

b. D(t) = 400 + 10t

c. T(t) = 400 + 10t + 2t -500

Step-by-step explanation:

donations: $400; every person costs: $10; raffle ticket: $2; winner: $500

a. R(t) = 2t - 500

2t is the raffle tickets. t represents each person. -500 represents the money that the school loses for giving away the money to the winner.

b. D(t) = 400 + 10t

400 is the pre-donation that they had. 10t is the fee for entering the dinner per person. t represents each person.

c. T(t) represents all the money the school will gain (and lose) from the fundraiser. This stands to reason that T(t) is a combination of R(t) and D(t) since R(t) is the raffle and D(t) is the donations and dinner.

T(t) = 400 + 10t + 2t -500

Hope this helps!

Answer:

I think that it might be a type-o on the assignment. If I was you I would email your teacher.

Answer:there is $3.67 left.

Step-by-step explanation: good luck on your assignment! :)

Answer:

[tex]\frac{9}{28}[/tex]

Step-by-step explanation:

Given expression:

 Find the quotient;

                      =      [tex]\frac{2}{7}[/tex]  ÷ [tex]\frac{8}{9}[/tex]

Now, let us solve the problem;

          the division sign will invert  [tex]\frac{8}{9}[/tex];

                     =    [tex]\frac{2}{7}[/tex]  x [tex]\frac{9}{8}[/tex]

                               2 will go in 8

                   = [tex]\frac{1}{7}[/tex] x [tex]\frac{9}{4}[/tex]

                   = [tex]\frac{9}{28}[/tex]

45 ? 45 is A. ≤( is less than or equal to), C. ≥(is greater than or equal to), E. = (is equal to) .

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, 45? 45.

45 ? 45 is equal to 45.

45 ? 45 is greater than or equal to 45.

45 ? 45 is less than or equal to 45.

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Answer:

d

Step-by-step explanation:

thats the answer

Then the new coordinate after transformation will be A''(3, 5), B''(0, 4), C''(0, 2), and D''(3, 0). Then the correct option is D.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object. From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The coordinates of the vertices of trapezoid ABCD after it has been rotated 90° counterclockwise about the origin and then reflected over the x-axis. A(−5,−3), B(−4,0), C(−2,0), and D(0,−3).

Then the new coordinate after transformation will be A''(3, 5), B''(0, 4), C''(0, 2), and D''(3, 0). Then the correct option is D.

The diagram is attached below.

More about the transformation of the shape link is given below.

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Answer:

48 meters

Step-by-step explanation:

First, use trigonometric ratios formula to find the distance of each of them from the tower. The difference between their distance from the tower will give you the distance they stood apart from each other.

Distance of the first person from the Tower with am angle of elevation of 25°:

Height of the tower = 30 meters (opposite side)

Distance from the tower = x (adjacent side)

[tex] tan(25) = \frac{opp}{adjacent} [/tex]

[tex] tan(25) = \frac{30}{x} [/tex]

Multiply both sides by x

[tex] tan(25)*x = 30 [/tex]

Divide both sides by tan(25)

[tex] x = \frac{30}{tan(25)} [/tex]

[tex] x = 64 m [/tex] (nearest whole number)

Distance of the second person from the Tower with am angle of elevation of 15°:

Height of the tower = 30 meters (opposite side)

Distance from the tower = x (adjacent side)

[tex] tan(15) = \frac{opp}{adjacent} [/tex]

[tex] tan(15) = \frac{30}{x} [/tex]

Multiply both sides by x

[tex] tan(15)*x = 30 [/tex]

Divide both sides by tan(15)

[tex] x = \frac{30}{tan(15)} [/tex]

[tex] x = 112 m [/tex] (nearest whole number)

Distance between both of them = 112 - 64 = 48 meters

Answer:

3/4

Step-by-step explanation:

it is 3/4 anything dividing one is itself

Answer:

a) 24.09 minutes

b) 0.8%

Step-by-step explanation:

This week a very large running race 5K occurred in Denver the times were normally distributed with a mean of 23.92 minutes and the standard deviation of 3.4 minutes what time in minutes is the cut off for the fastest 51.99%

Z score for 51.99% = 0.05

z = (x-μ)/σ,

where x is the raw score = ? minutes

μ is the population mean = 23.92 minutes

σ is the population standard deviation = 3.4 minutes

0.05 = x - 23.92/3.4

Cross Multiply

0.05 × 3.4= x - 23.92

0.17 = x - 23.92

0.17 + 23.92 = x

x = 24.09 minutes

What percent of runners took more than 32.128 minutes to complete the race

= z score

z = (x-μ)/σ,

where x is the raw score = 32.128 minutes

μ is the population mean = 23.92 minutes

σ is the population standard deviation = 3.4 minutes

z = 32.128 - 23.92/3.4

z = 2.41412

P-value from Z-Table:

P(x<32.128) = 0.99211

P(x>32.128) = 1 - P(x<32.128) = 0.0078867

Approximately =0.008

Converting to percentage = 0.008 × 100

= 0.8%

Using the normal distribution, it is found that:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that the mean and the standard deviation are, respectively, [tex]\mu = 23.92, \sigma = 3.4[/tex].

The cut off for the fastest 51.99% is the lowest 51.99% of times, that is, the 51.99th percentile, which is X when Z = 0.05.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.05 = \frac{X - 23.92}{3.4}[/tex]

[tex]X - 23.92 = 0.05(3.4)[/tex]

[tex]X = 24.09[/tex]

The cut off for the fastest 51.99% of times is of 24.09 minutes.

The proportion of runners who took more than 32.128 minutes to complete the race is 1 subtracted by the p-value of Z when X = 32.128, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.198 - 23.92}{3.4}[/tex]

[tex]Z = 2.43[/tex]

[tex]Z = 2.43[/tex] has a p-value of 0.9925.

1 - 0.9925 = 0.0025.

0.0025 = 0.25% of runners took more than 32.128 minutes to complete the race.

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Answer:

If you're only counting positive numbers then there are 8,900 four-digit numbers that are not divisible by 100, but if you also include negative numbers then your answer would be 17,800.

the greatest common factor is 6

Answer: sample mean = 495

Step-by-step explanation:

Given that :

Population mean = 495

Population standard deviation = 118

Sample size = 100

The sample mean according to the central limit theorem will be the same as the population mean ; According to the central limit theorem, the sample mean converges to the population mean as the sample size becomes larger, according to the theorem, usually once the SAMPLE size is greater than 30.

Here, the sample size is 100, Hence, the sample mean, will be equal to the population mean.

Sampling distribution of average score = 495 = population mean

Answer:

-2,0

Step-by-step explanation:

Solve equation [2] for the variable  x  

 [2]    3x = 2y - 6

 [2]    x = 2y/3 - 2

Plug this in for variable  x  in equation [1]

  [1]    5•(2y/3-2) + 6y = -10

  [1]    28y/3 = 0

  [1]    28y = 0

Solve equation [1] for the variable  y  

  [1]    28y = 0  

  [1]    y = 0  

By now we know this much :

   x = 2y/3-2

   y = 0

Use the  y  value to solve for  x  

   x = (2/3)(-0/18062600)-2 = -2

Answer:

For question 1, the correct answer is option C

For question 2, the correct answer is option B

Step-by-step explanation:

Problem A

A phenomenon is observed many times, under identical conditions. The proportion of times a particular event occurs is referred to as the probability of the event.

The correct option is C

* Use the instance of the tossing of a coin. The phenomenon that is observed here could be "the face of the coin that shows up after each toss". The number of times this is observed is = number of times the coin is tossed. The phrase "Under identical conditions" would mean that the coin is tossed in an identical manner e.g. 6feet high each time. The proportion of times a particular event (either HEAD showing up or TAIL showing up) occurs is the probability of that event's occurrence!

Problem B

The collection of all possible outcomes of a random phenomenon (in a given experiment) is called the distribution of the random phenomenon.

The correct option is B

Tanya has 26 quarters and 18 dimes.

Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,

To find the same we will use the concept of system of Linear equations,

Let's solve this problem step by step.

Let's assume Tanya has x quarters and y dimes.

The value of x quarters is 25x cents.

The value of y dimes is 10y cents.

According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:

25x + 10y = 830 ...........(Equation 1)

Tanya has 44 coins in total:

x + y = 44 ...........(Equation 2)

Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.

Multiplying Equation 2 by 25, we get:

25x + 25y = 1100 ...........(Equation 3)

Subtracting Equation 3 from Equation 1, we eliminate the x term:

25x + 10y - (25x + 25y) = 830 - 1100

-15y = -270

Dividing both sides by -15, we get:

y = (-270)/(-15) = 18

Substituting the value of y back into Equation 2, we can find x:

x + 18 = 44

x = 44 - 18 = 26

Therefore, Tanya has 26 quarters and 18 dimes.

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