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translate one-step equations and solve
write an equation to represent the following statement.
15 is 9 more than j.
solve for j.
j%3d
co
stuck? review related articles/videos or use a hint.

Answer:

5.25 tablespoons are needed per dozen

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/7

Answer:

You’ll have to come up with $10,000 - 25,000.

Step-by-step explanation:

You'll need at least this much for your new house because if you think about it appliances are getting expensive. So, is furniture and it also depends on how big the house is. Then again, this is about how much my parents ( $46, 560 ) spent on our house and we still are looking for more furniture.

Answer:

$49,500

Step-by-step explanation:

Living Room Item Quantity  Individual Cost

Sofa  1 $5,000

Living Room Chair/Club Chair 2 $3,000

Coffee Table 1 $3,000

Side/End Tables 2 $2,000

Table Lamps 2 $1,000

Rug 1 $8,000

Floor Lamp 1 $1,500

Chandelier 1 $5,000

Pillows NA $1,500

Drapery NA $5,000

Console 1 $2,000

Mirror/Art NA $5,000

Accessories  NA $1,500

Total Cost   $49,500 (at minimum)

keep in mind that you have your own style and that it can depend on how much you want to spend, maybe you want to get more Accessories or better quality things so yes It will go up depending on what your taste is.

Answer: 49

Step-by-step explanation: angle BCA is congruent to angle DCA therefore they are the same measure

Answer:

DCA = 49*

Step-by-step explanation:

This is because of the fact that we have 2 pairs of vertical angles. Vertical angles are 2 angles made by 2 intersecting lines. They are also equivalent to each other. So that means that Angle BCA = BEC + AEB. Now we know that it is the same for Angle DCA.

Sorry that took a while but I hope this helps! (:

Answer:

A

Step-by-step explanation:

Because i said so

The probability of an earthquake in that magnitude range occurring in next 30 years is 3%.

The probability that the event will not occur for an exposure time of x years is:

\((1-\frac{1}{MRI} )^{x}\)

where, MRI = Mean Recurrence Interval = 1000

                x = Years = 30

Therefore, Probability of not occurring = \((1-\frac{1}{1000} )^{30}\)

                                                                 = \((\frac{999}{1000} )^{30}\)

                                                                 = \((0.999)^{30}\)

                                                                 = 0.97

Probability of occurring = 1 - 0.97

                                       = 0.3

Probability percent = 0.03 * 100

                                = 3 %

Hence, probability is 3%.

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Using the method of orthogonal polynomials, a third-degree equation can be fit to the given data. To test the hypothesis that a second-degree equation is adequate, we compare the goodness of fit between the third-degree equation and the second-degree equation.

To fit a third-degree equation to the data, we utilize the method of orthogonal polynomials. This involves finding the coefficients of the third-degree equation that minimize the sum of the squared differences between the observed data points and the predicted values from  the equation. By applying this method, we obtain a third-degree equation that best represents the given data.
To test the hypothesis that a second-degree equation is adequate, we compare the goodness of fit between the third-degree equation and the second-degree equation. This can be done by evaluating the residuals, which are the differences between the observed data points and the predicted values from the equations.
If the residuals from the third-degree equation are significantly smaller than the residuals from the second-degree equation, it indicates that the third-third-degree equation provides a better fit to the data. On the other hand, if the difference in residuals is not substantial, it suggests that a second-degree equation is adequate for representing the data.
Therefore, by comparing the residuals between the third-degree equation and the second-degree equation, we can test the hypothesis and determine whether the third-degree equation provides a significantly better fit to the given data.

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Explanation

Step 1

let n represents the number

so,

Five times a number

hence

Five times a number, minus three

"is" can written as equal (=),so

Five times a number, minus three, is twelve.

I hope this helps you

So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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Answer:

351 pounds

288 x 3 = 864 pounds

864 - 261 - 252 = 351 pounds

Therefore (261 + 252 + 351)/3 = 288.

So the answer is 351 pounds

Answer:

Zero of the function f(x) is x = 5

Step-by-step explanation:

Given function is f(x) = x² - 10x + 25

For zeros or x-intercepts of this function,

Put f(x) = 0

x²- 10x + 25 = 0

x² - 2(5)x + 5² = 0

(x - 5)² = 0 [Since, a² - 2ab + b² = (a - b)²]

x = 5

Therefore, x = 5 will be the zero of the given function.

This is unsolvable because it doesn't have an equal sign.

It can, however, be simplified to: 3cmx+5cm

Explanation:

(3x+5)(c)m = 3cmx+5cm

Answer:

$84.50

Step-by-step explanation:

Answer:

$84.504

Step-by-step explanation:

20% of 70.42 is 14.08, 14.08 plus 70.42 is 84.504

The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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Answer: as per question statement

we need to set up an equation first

p(t)=1200e(0.052*t)

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

P(6)=1200e(0.052*6)=1639.38

1638.38 bacteria were present at that time t=6

Step-by-step explanation: I hope this helps.

Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

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

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070

Answer:

5 m

Step-by-step explanation:

(C is the hypotenuse)

A^2 + B^2 = C^2

4^2 + 3^2 = C^2

16 + 9 = C^2

25 = C^2 (Now square root both sides)

C = 5 m

With a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have electrical/environmental problems, we need to have a sample of data on this issue. Let's assume that we have a random sample of 100 homes, and 20 of them were found to have electrical/environmental problems.

To calculate the lower confidence bound, we can use the formula:

Lower bound = p - zα/2 * sqrt(p * (1-p) / n)

where:

p = proportion of homes in the sample that have electrical/environmental problems = 20/100 = 0.2

zα/2 = z-score for the given confidence level of 99% = 2.576 (obtained from a standard normal distribution table or calculator)

n = sample size = 100

Plugging in these values, we get:

Lower bound = 0.2 - 2.576 * sqrt(0.2 * 0.8 / 100) = 0.083

Therefore, with a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

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This means we can be 99% confident that the true percentage of all homes with electrical/environmental problems is

at least 17.5%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have

electrical/environmental problems, you would need a sample of homes and the number of homes in the sample that

have such problems. Using this information, you could calculate the sample proportion (p-hat) of homes with

electrical/environmental problems.

Then, using a formula or calculator, you could find the lower confidence bound by subtracting the margin of error (ME)

from the sample proportion.

The margin of error can be calculated using the sample proportion, sample size, and the chosen confidence level (in

this case, 99%).

For example, if the sample proportion is 0.25 and the sample size is 100, the margin of error would be 0.075 and the

lower confidence bound would be 0.175 (0.25 - 0.075).

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The area of the circle is also equal to the area of the parallelogram which is πr².

A = bh is the formula for calculating the area of a parallelogram, where A stands for the area, b for the base, and h for the height. In this case, the base of the parallelogram is πr and the height is r. So, the area of the parallelogram is:

A = (πr) × r

A = πr²

The formula for the area of a circle is A = πr².

The two formulas can be set equal to one another because the area of the parallelogram and the area of the circle are equal.

πr² = πr²

This confirms that the area of the circle is also equal to πr².

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A volume of 2 liters is needed to obtain a 92 % solution.

In this problem we need to determine the volume of pure acid to be added with a volume of four liters of 88 % acid solution to get a 92 % solution. This can be done by definition of weighted average:

(88 / 100) · (4 L) + (100 / 100) · V = (92 / 100) · (4 L + V)

Where V is the volume needed of the pure acid, in liters.

3.52 L + V = 3.68 L + 0.92 · V

0.08 · V = 0.16 L

V = 2 L

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When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person

The ratio of two measures, with one as the second of the item, is known as unit rate.

For the problem where Alonzo have to split 3/4 pounds of candy, the  unit rate is solved by division.

In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate

The unit rate of candy in pounds per person

= 3/4 pounds / 4 persons

= 3/16 pounds per person

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A kilometer is a unit of length in the metric system equal to one thousand meters

What is distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

Kilometer: A kilometer is a unit of length in the metric system equal to one thousand meters. It is commonly used to measure long distances, such as the distance between two cities or countries.

Centimeter: A centimeter is a unit of length in the metric system equal to one hundredth of a meter. It is commonly used to measure small distances, such as the length of an object or the distance between two points.

Millimeter: A millimeter is a unit of length in the metric system equal to one thousandth of a meter. It is an even smaller unit of measurement than a centimeter and is commonly used to measure very small distances, such as the thickness of a sheet of paper or the diameter of a small object.

In the metric system, each unit of length is based on powers of 10. This means that each unit is ten times larger or smaller than the one next to it. Hence, This system of measurement makes it easy to convert between units and to measure distances of all sizes.

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Answer:

-22

Step-by-step explanation:

The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.

Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.

Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.

Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.

Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).

According to the steps involved in analytical problem solving model:

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Answer:

20

Step-by-step explanation:

1111     <--- 1st row

1111     <---- 2nd row

1111      <--- 3rd row

1111     <----- 4th row

1111     <----- 5th row

use multiplication

The arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -

2x + 4y + 5z

4y + 2x

Given are the expressions as given in the questions.

{a} -

5 - 9 = - 4

{b} -

8 - 8 = 0

{c} -

- 1 + 12 = 11

{d} -

- 12 + 12 = 0

{e} -

- 2 + 4 + 3

5

{f} -

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

Therefore, the arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

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{Complete question -

Calculate the following:

a) 5-9

b) 8-8

c) -1 + 12

d) -12 + 12

e) -2 +4+3

f) -4-3+2-1}

The Domain of set is {0, 2, 4, 6}

The Range of the set is {3, 2, 1, 0}

What is Range of set?

The range is the set of possible output values, which are shown on the y-axis.

The function is given as;

y = -1/2 x + 3

Now, The values of x are given as;

x = 0, 2, 4, 6

Hence, The value of y are find as;

When x = 0

y = -1/2 * 0 + 3 = 3

When x = 2

y = -1/2 * 2 + 3

y = 2

When x = 4

y = -1/2 * 4 + 3

y = 1

When x = 6

y = -1/2 * 6 + 3

y = 0

Hence, All values of y are {3, 2, 1, 0}

So, The Domain of set is {0, 2, 4, 6}

The Range of the set is {3, 2, 1, 0}

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Answer: y = -1/2x+7/2.

Step-by-step explanation:

Firstly, we need to understand the formula of point-slope form: y1-y2=m(r1-r2)

Where x and y is the coordinates and m is the slope respectively.

To find the slope:

y1-y2/r1-r2

In this case:

5-4/-3-(-1)=-1/2

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)

-y = 1/2+1/2x-4

y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))

y=-1/2x-1/2+4

y = -1/2x+7/2

Answer:

y - 5 = -1/2(x+3)

Step-by-step explanation

Slope = y2-y1/x2-x1

Slope = 4-5/-1-(-3) = -1/2

(x1,y1) = (-3,5)  

final answer : y - 5 = -1/2(x+3)

12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.

An equation is an expression that shows the relationship between two or more variables and numbers.

It took 4 days for 4 butterflies to give birth to 4 larvae. After 4 days, each butterfly produces a larvae

Hence for 12 butterflies in 12 days:

number of larvae = 12 butterflies * (12 days /4 days per larvae) = 36 larvae

12 butterflies would give birth to 36 larvae in 12 days, if It took 4 days for 4 butterflies to give birth to 4 larvae.

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