Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6

the answer is in the picture.

Answer:

x+y=30

2x+3y=80

multiplying equation one by -3 and add equation

-3x -3y=-90

2x +3y=80

2(10)+20(3)=80

80=80

Answer:

The total cost per month is $190.76 to the nearest cent.

Step-by-step explanation:

From the given table, the monthly service plan costing $52.00 is:

The base calling plan includes two lines.

Therefore, for 4 lines, we will need to pay for 2 additional lines per month:

⇒ $21.99 × 2 = $43.98 per month

If 3,487 minutes are used per month, then the overage of minutes is:

⇒ 3487 - 2000 = 1487 minutes per month

As the overage rate is $0.06 per minute, then the cost of the additional minutes is:

⇒ 1487 × $0.06 = $89.22 per month

Therefore, the total cost per month before tax is:

⇒ $52.00 + $43.98 + $89.22 = $185.20

To apply the federal tax of 3%, multiply the total cost by 1.03:

⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)

Therefore, the total cost per month is $190.76 to the nearest cent.

Answer:

5.25

Step-by-step explanation:

A

Step-by-step explanation:

hope it helps

Answer:

6

Step-by-step explanation:

1. re-write the given system:

cx+3y=c-3; => y= -cx/3 +(c-3)/3

12x+cy=c; => y= -12x/c+c/12

2. according the condition the rule for the parallel graphs is:

-c/3= -12/c

3. to calculate the unknown 'c':

c²=36; ⇔c=±6

Answer:

6

Step-by-step explanation:

The system of equations:

cx + 3y = c - 3 ... (i)

12x + cy = c ... (ii)

Multiplying (i) by c and (ii) by 3 gives;

c²x + 3cy = c² - 3c ... (i)

36x + 3cy = 3c ... (ii)

(i) - (ii) gives;

c²x - 36x + 0 = c² - 3c - 3c

c²x - 36x = c²

c²x - c² = 36x

c²(x - 1) = 36x

c² = \(\frac{36x}{x - 1}\)

If  c = -2 then;

(-2)² = 4 = \(\frac{36x}{x - 1}\) , 4x - 4 = 36x , 32x = -4 , x = \(-\frac{1}{8}\)

If c = 2  then;

2² = \(4 = \frac{36x}{x - 1} , 4x - 4 = 36x , 32x = -4 , x = -\frac{1}{8}\)

If c = 6 then;

6² = 36 = \(\frac{36x}{x - 1}\) , 36x - 36 = 36x, 36x - 36x = 36 , x (36 - 36) = 36 , x(0) = 36 , x =   \(\frac{36}{0}\) = undefined or infinitely many solutions.

Hence the system of equations given above will have infinitely many solutions if the value of c is 6.

Answer:

Top box would be 10 x 2 x 3 which would be 60. Then for bottom box would be 3 x 4 x 5 which would be 60 so add them together and get 120

Step-by-step explanation:

Answer:

top box : v= 60 ( UNIT)

bottom box: v= 60 ( unit)

both boxes : v = 120 (unit)

Step-by-step explanation:

we know that the volume = lenth × height× width

so if we apply this rule , we find it

Answer:1. 1 19/28

2. 2 1/25

Step-by-step explanation:

Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

The net amount deposited by Jack is $ 455.89.  

To find the total deposited amount calculate all the amounts deposited in form of coins, quarters, dimes, and checks. And subtract the amount got by withdrawal.

Here  1 coin = 1 $

1 quarter = 0.25 4  

1 dime = 0.10$  

Here we have

Jack deposited the following items in a bank

12- twenties = 12 × 20 × $ 1 = $ 240

10 - tens = 10 × 10 × $ 1 = $ 100  

7 - fives = 7 × 5 × $ 1 = $ 35

13 quarters = 13 × $ 0.25 = $ 3.25  

14 dimes = 14 × $ 0.10 = $ 1.40  

The amount deposited by checks = $ 129.59 + $ 46.65 = $ 176.24  

Now add all the amount to get the total amount  

= 240 + 100 + 35 + 3.25 + 1.40 + 176.24 = $ 555.89  

Given that he received 100 one-dollar bills in cash back.  

Hence, the net amount deposited = $ 555.89 - $ 100 = $ 455.89  

Therefore,

The net amount deposited by Jack is $ 455.89.  

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The relative change in tuition tells us the tuition in 2016/17 decreased by 9.99 %.

The indicator's value in the earlier period is used to calculate the relative change, which expresses the absolute change as a percentage. Additionally, indicators that are expressed as percentages, such as the unemployment rate, are subject to the concepts of absolute and relative change.

Given:

The tuition in University if Washington in 2015-16 = 10,203

and, The tuition in University if Washington in 2016-17 = 9,183

so, the relative change is

= (10203 - 9183)/ 10203

= 1020/ 10203

= 0.0999

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Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

Answer:

C) y = 3x-5 is the answer.

Step-by-step explanation:

take two points,

(2,1) and (4,7)

slope(m) = (7-1)/(4-2)

m = 6/2

m = 3

now,

y = mx+b

1 = 3×2+b

1 = 6+b

b = -5

now

y = mx+b

y = 3x-5

Answer:

18%, 34%, 9/25, 0.25

Step-by-step explanation:

36% = 18%

17/50 = 34%

0.18 = 9/25

1/4 = 0.25

Answer:

The average rate of change of the function over the interval –3 ≤ x ≤ 4 is 2.

Answer:

y=3x+5

0 hours is $5

1 hour is $8

2 hours is $11

3 hours is $14

Step-by-step explanation:

y=mx+b

m = slope and b = y intercept

in this case 3 dollars an hour (x) would be m

and 5 rental fee would be B

Answer:

The first such year is 2002.

Step-by-step explanation:

For them to be the same upside down as right side up, the first and last digit have to be the same.

Since we are in the 21st century, and the years begin with 2, then have to end with 2. So

2xx2.

Numbers that look the same upside down as right side up are: 0,1,2,5,8. So, the first possible year is:

2002

The solutions to the nearest tenth are x = -0.1 and x = 1.3

From the question, we have the following parameters that can be used in our computation:

5x² - 2x - 1 = 4x

Evaluate the like terms

So, we have

5x² - 6x - 1 = 0

Next, we solve using a graph

The graph of 5x² - 6x - 1 = 0 is added as an attachment

From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3

This means that the solutions are x = -0.1 and x = 1.3

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Answer:

The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.

Step-by-step explanation:

To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.

5x^2-2x-1=4x

5x^2-6x-1=0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 5, b = -6, and c = -1.

Plugging these values into the formula gives:

x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)

x = (6 ± sqrt(56)) / 10

Answer:

g(6) = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(n) = n + 2

g(6) is n = 2

Step 2: Evaluate

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

Answer:

r = 6

r = 9

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

Two inequalities have been given as,

y > 3x + 6 --------(1)

y < 3x - 7 ------(2)

Inequality (1) shows the solution area shaded in blue, means all the solutions for the inequality will lie in the blue area.

Similarly, solutions of inequality (2) will lie in red area.

No common area for the inequalities.

Therefore, system of inequalities will have no solution.

Option (A) will be the answer.

From the data given, we estimate the population mean and population standard deviation. Then, we use this estimate to find a 95% confidence interval for the population variance and the population standard deviation.

Sample:

Salaries in millions of dollars: 2.2, 1.5, 0.5, 1.3, 2.4, 1.5, 2.7, 0.3, 2.0, 0.3

Question a:

The mean is the sum of all values divided by the number of values. So

\(\overline{x} = \frac{2.2 + 1.5 + 0.5 + 1.3 + 2.4 + 1.5 + 2.7 + 0.3 + 2.0 + 0.3}{10} = 1.42\)

The sample mean salary is of 1.42 million.

Question b:

The standard deviation is the square root of the difference squared between each value and the mean, divided by one less than the number of values.

So

\(s = \sqrt{\frac{(2.2-1.42)^2 + (1.5-1.42)^2 + (0.5-1.42)^2 + (1.3-1.42)^2 + (2.4-1.42)^2 + (1.5-1.42)^2 + (2.7-1.42)^2 + ...}{9}} = 0.8772\)

Thus, the estimate for the population standard deviation is of 0.8772 million.

Question c:

The sample size is \(n = 10\)

The significance level is \(\alpha = 1 - 0.05 = 0.95\)

The estimate, which is the sample standard deviation, is of \(s = 0.8772\).

Now, we have to find the critical values for the Pearson distribution. They are:

\(\chi^2_{\frac{\alpha}{2},n-1} = \chi^2_{0.025,9} = 19.0228\)

\(\chi^2_{1-\frac{\alpha}{2},n-1} = \chi^2_{0.975,9} = 2.7004\)

The confidence interval for the population variance is:

\(\frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2},n-1}} < \sigma^2 < \frac{(n-1)s^2}{\chi^2_{1-\frac{\alpha}{2},n-1}}\)

\(\frac{9*0.8772^2}{19.0228} < \sigma^2 < \frac{9*0.8772^2}{2.7004}\)

\(0.3641 < \sigma^2 < 2.5646\)

Thus, the 95% confidence interval for the population variance is (0.3641, 2.5646)

Question d:

Standard deviation is the square root of variance, so:

\(\sqrt{0.3641} = 0.6034\)

\(\sqrt{2.5646} = 1.6014\)

The 95% confidence interval for the population standard deviation is (0.6034, 1.6014).

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9514 1404 393

Answer:

  a = ±2

Step-by-step explanation:

For similar figures, the same scale factor applies to both x and y.

  12 = 3a²

  4 = a²

  a = ±√4 = ±2

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

Answer:

c I did this last year hope it help kinda don't remember

As per the binomial distribution, the value of the normal approximation is 0.6573

The term binomial distribution refers the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

Here we have given that n = 95 P = 0.96 and q = 0.04

Now, here we have to check  the binomial distribution to see whether it can be approximated by the normal distribution.

While we looking into the given question we know that the value of n = 95 P = 0.96.

Then as per the binomial distribution formula, the normal distribution is calculated as,

=> P(X=1) = 95C4 * (0.96)⁴ * (1-0.96)⁹⁵⁻⁴

When we simplify this one then we get the value as 0.6573

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Answer:

Step-by-step explanation:

aww im sorry i dont no i wish i knew but you dont need to give me anything im stupid

Answer:

you would have 13 peoples in the Eiffel Tower side of the diagram. and then you would have 16 people on the Notre Dame cathedral side. and none in the middle of the diagram. the answer to question b would 29/30 since that is the number of people who exclusively went to et or ndc.

Step-by-step explanation:

if that isnt the right answer is it possible the question was phrased incorrectly and instead was supposed to 7 people went to both et and ndc?

Answer:

I don't really know what you were asking

Answer:

A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.

P(x) = probability that X takes on a value x.

x P(x)0 P(x = 0) = 250

1 P(x = 1) = 1150

2 P(x = 2) = 2350

3 P(x = 3) = 950

4 P(x = 4) = 450

5 P(x = 5) = 150

Step-by-step explanation:

pa follow po pls.