q + ad = m solve for a

Answers

Answer 1

Answer:

a = [tex]\frac{m-q}{d}[/tex]

Step-by-step explanation:

q + ad = m ( subtract q from both sides )

ad = m - q ( isolate a by dividing both sides by d )

a = [tex]\frac{m-q}{d}[/tex]

Answer 2

Answer:

a = (m - q)/d

Step-by-step explanation:

Given that,

→ q + ad = m

Now solving for the value of a,

→ q + ad = m

→ ad = m - q

→ a = (m - q)/d

Hence, the value is (m - q)/d.


Related Questions

Is 2x-y=44x-2y=6 A Consistent and dependent?

Answers

Solution

We are given the two equations

[tex]\begin{gathered} 2x-y=4\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(1) \\ 4x-2y=6\ldots\ldots\ldots.\ldots\ldots\text{.}(2) \end{gathered}[/tex]

Now, equation (1) x 2

[tex]\begin{gathered} 4x-2y=8\ldots\ldots.\ldots\ldots\ldots\ldots\ldots(1) \\ 4x-2y=6\ldots\ldots\ldots\ldots\ldots\ldots.\ldots(2) \end{gathered}[/tex]

Equation (1) - equation (2)

[tex]\begin{gathered} (4x-4x)+(-2y-(-2y))=8-6 \\ 0+0=2 \\ 0=2 \end{gathered}[/tex]

Which is never possible!

Therefore, the system of equation is NOT consistent.

Note:

Let us also draw the graph of the eqautionm given

Therefore, the system of equation is Inconsistent and Independent

A solid figure is composed of rectangular prism and a right triangular prism. The figure and some of its dimensions are sown in this diagram.

Whats the volume of the figure? (5 ft, 5ft, 2 ft, 4 ft, and 7ft.)

Answers

Answer:

volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.

Step-by-step explanation:

The table shows Mr. Blackwell's total earnings as a car salesman for different sale amounts.


Graph the points on the coordinate plane and connect them with a straight line.

Answers

A graph of the points on the coordinate plane with a straight line is shown in the image attached below. An equation in slope-intercept to represent the relationship is y = 125x + 500.

How to calculate the slope of a line?

In order to determine the equation of this line in slope-intercept, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope, m = (3,000 - 1,750)/(20 - 10)

Slope, m = 1,250/10

Slope, m = 125.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y are the points.c represents the intercept.

At point (10, 1,750), we have;

y - 1,750 = 125(x - 10)

y - 1,750 = 125x - 1,250

y = 125x - 1,250 + 1,750

y = 125x + 500

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Answer:

Step-by-step explanation:

Which of the following is the simplified form of the expression 15z-9-3z-z+8?

Answers

Answer:

11z - 1

Step-by-step explanation:

Dude my sister posted this one

Answers

Answer:

do i need to do the right or wrong answer

im pretty sure that there is 12

Step-by-step explanation:

Larissa invested $19,000 in an eleven-year CD giving 7.5% interest, but needed to withdraw $2,500 after four years. If the CD’s penalty for early withdrawal was one year’s worth of interest on the amount withdrawn, how much money did Larissa have when the CD reached maturity, not including the amount she withdrew?

Answers

Answer:

$32190

Step-by-step explanation:

19,000 x 1.3 = 24700

24700-2500=22200

22200 x 1.45 = 32190

Find the coordinates of the midpoint of a segment with the given endpoints.C(0,5) and D(-4,-5)

Answers

We have the following:

[tex]m=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})_{}[/tex]

resolving:

[tex]\begin{gathered} m=(\frac{0+(-4)_{}}{2},\frac{5+(-5)_{}}{2})_{} \\ m=(-\frac{4}{2},\frac{0}{2}) \\ m=(-2,0) \end{gathered}[/tex]

Therefore, the midpoint is:

[tex]m=(-2,0)[/tex]

Find the x -intercept and the y-intercept of the graph of the equation.-x+2 y=-7Good evening I am having a hard time getting this math is there any way you can help me?

Answers

Answer:

• x-intercept =7

,

• y-intercept = -3.5

Explanation:

Given the linear equation

[tex]-x+2y=-7[/tex]

x-intercept

The x-intercept is the value where the line crosses the x-axis.

We calculate this by setting y=0

[tex]\begin{gathered} \text{When y=0} \\ -x+2y=-7 \\ -x+2(0)=-7 \\ -x=-7 \\ x=7 \end{gathered}[/tex]

The x-intercept is 7.

y-intercept

The y-intercept is the value where the line crosses the y-axis.

We calculate this by setting x=0

[tex]\begin{gathered} \text{When x=0} \\ -x+2y=-7 \\ -0+2y=-7 \\ 2y=-7 \\ Divide\text{ both sides by 2} \\ \frac{2y}{2}=-\frac{7}{2} \\ y=-3.5 \end{gathered}[/tex]

The y-intercept is -3.5.

Determine the constant of proportionality for the relationship.

p equals 2 over 150
p = 0.0133
p = 75
p = 150

Answers

The constant of proportionality for the relationship is p = 75.

How to express proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent.

In other words, a proportional relationship is one in which two quantities vary directly with each other.

It can be represented as follows:

y = px

where

p = constant of proportionalityx and y are the variables

Therefore, when we are given the variables the constant of proportionality can be found as follows:

where

y = 150

x = 2

p = y / x

p = 150 / 2

Therefore,

p = 75

Complete question: Determine the constant of proportionality for the relationship: y = px  where y = 150 and x = 2

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i need help with mat equation

Answers

[tex]\qquad \textit{power of a complex number} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill\\\\ z=2[\cos(104^o)~~ + ~~i\sin(104^o)] \\\\\\ z^2=2^2[\cos(2\cdot 104^o)~~ + ~~i\sin(2\cdot 104^o)] \\\\\\ z^2=\underset{polar}{4[\cos(208^o)~~ + ~~i\sin(208^o)]}~\hfill \implies ~\hfill z^2\approx \underset{rectangular}{\stackrel{4\cos(208^o)}{-3.532}~~,~~\stackrel{4\sin(208^o)}{-1.878} i}[/tex]

Sorry the picture is a little tight I can't find the value of A and I keep getting the wrong answer which is really frustrating. I think I just need a little assistance.

Answers

The slope of the line can be calculated using the points (2,2) and (6,10):

[tex]\begin{gathered} m=\frac{10-2}{6-2} \\ =\frac{8}{4} \\ =2 \end{gathered}[/tex]

Since the point (a,8) should belong to the same line, the slope should be the same using the points (a,8) and any other point. Since the slope is 2, use the points (a,8) and (2,2):

[tex]\begin{gathered} 2=\frac{8-2}{a-2} \\ =\frac{6}{a-2} \end{gathered}[/tex]

We got this expression for a:

[tex]2=\frac{6}{a-2}[/tex]

Take the reciprocal of both sides of the equation:

[tex]\frac{1}{2}=\frac{a-2}{6}[/tex]

Multiply both sides by 6:

[tex]\begin{gathered} \frac{6}{2}=a-2 \\ \Rightarrow a-2=3 \end{gathered}[/tex]

Add 2 to both sides of the equation:

[tex]a=5[/tex]

Therefore, a=5.

Find all of the zeros of this function and use them to sketch a rough graph.

Answers

The zeroes of the function f(x) = x⁵ - 8x³ - 9x are x = 0, 3, - 3, i, and - i.

Consider the function,

f(x) = x⁵ - 8x³ - 9x

x⁵ - 8x³ - 9x = x( x⁴ - 8x² - 9 )

Factoring: x⁴ - 8x² - 9

The coefficient of x⁴ is 1, the coefficient of -8x² is - 8, and - 9 is the constant term.

x⁴ - 8x² - 9 = x⁴ - 9x² + x² - 9 = x²( x² - 9 ) + 1( x² - 9 )

x⁴ - 8x² - 9 = ( x² - 9 ) ( x² + 1 )

So,

x⁵ - 8x³ - 9x= 0

x( x⁴ - 8x² - 9 ) = 0

x( x² - 9 ) ( x² + 1 ) = 0

x( x - 3 )( x + 3 ) ( x² + 1 ) = 0

Therefore, the zeroes of the function are:

x = 0, x = 3, x = - 3, and

x² + 1 = 0

x² = - 1

x = ± √( - 1 ) = ± i

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Last semester, Jim earned an A in his 4-credit MATH 128 class, a B+ in his 3-credit ENG 152 class, a C- is his 2-credit COM 210 class, and a A- in his 5-credit HIST 151 class. What was his GPA for the semester? Be sure to use the following grade values in your calculation.

Answers

Jim's GPA for the last semester was 3.41.

What is the GPA?

The Grade Point Average (GPA) is the summary of academic achievement in an academic period (semester).

GPA is computed as course unit value multiplied by grade points, divided by the sum of course units.

The Grade Point Average (GPA)  may also be described as the cumulative GPA, that is, the sum of the grade points divided by the sum of the units.

Determining a student's GPA helps the school administrators to ascertain the student's academic progress, verifying areas for further improvement.

Class            Course Grade   Credit Hours    Grade Value   Total Grade

MATH 128               A                     4                         4.0           16 (4 x 4)

ENG 152                  B+                   3                         3.3            9.9 (3 x 3.3)

COM 210                 C-                   2                          1.7            3.4 (2 x 1.7)

HIST 151                  A-                    5                        3.7            18.5 (5 x 3.7)

Total                                              14                                        47.8

GPA = 3.41 (47.8/14)

Thus, for last semester, Jim's GPA was 3.41.

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You can make 8 pancakes with 5g of butter. How much butter do you need for 12 pancakes.

Answers

7.5 grams of butter

1. find how many grams of butter it takes to make 4 pancakes; 8 / 2= 4
2. divide the number of grams by the number you just divided by (2)
3. solve 5 / 2 = 2.5
4. acknowledge 8 + 4 = 12, so do 5 + 2.5 = 7.5
You need 7.5 grams of butter

OPTION ONE GRAGH A GRAGH B OPTION TWO APPERAS TO INCREASE LESSAPPERAS TO INCREASE MOREIS LESSINCREASES MOREINCREASES LESS

Answers

To emphasize the slow increase in profits, it would be best for Bradley to use Graph A for his presentation.

Bradley should use this graph for his presentation because the profit appears to increase less on this graph (regardless both graphs show the same information)

Which graph best represents this system of equations and its solution? 2x = 6 − y 5x − 4y = 28

Answers

Most likely a linear graph since it’s in a form of y=mx+b

Help needed! please help math

Answers

The Mercury is 5.745 × 10^9 kilometers closer to the sun.

In this question, we have been given the approximate average distance from the sun to Neptune and Mercury.

Mercury : 5.79 × 10^9 kilometers

Neptune : 4.5 × 10^7 kilometers

We need to find how much Mercury is closer to the sun.

To find the distance by which Mercury is closer to the sun, consider the difference (5.79 × 10^9) - (4.5 × 10^7)

In the above difference the exponents of 10 are different.

So, we consider the 10^7

we write 5.79 × 10^9 as 579 × 10^7

So the difference would be,

(579 × 10^7) - (4.5 × 10^7)

= (579 - 4.5) × 10^7

= 574.5 × 10^7 km

= 5.745 × 10^9 km

Therefore, the Mercury is 5.745 × 10^9 kilometers closer to the sun.

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Josh opens a savings account with a $300 deposit. He won't add or withdrawal any money. The
account earns 2% simple interest. What is the total amount that Josh will have on his savings at
the end of 5 years?
O $6
O $306
O $30
O $330

Answers

The most appropriate choice for simple interest will be given by-'

Amount of money Josh have at the end of 5 years = $330

Fourth option is correct

What is simple interest?

Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,

If P is the principal, rate is r %, time is t years,

SI = [tex]\frac{p \times r \times t}{100}[/tex]

Adding Principal and simple interest will give the amount

Here,

Principal deposited by Josh= $300

Rate of interest = 2%

Time = 5 years

Simple interest = [tex]\frac{300 \times 2 \times 5}{100}\\[/tex]

                         = $30

Amount of money Josh have at the end of 5 years = $(300 + 30)

                                                                                     = $330

Fourth option is correct

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help me please


thank you

Answers

Part (a)

[tex]P(0)=0.7166(0)^2+6.267(0)+1.344 \approx 1.3[/tex]

Part (b)

[tex]P(5)=0.7166(5)^2+6.267(5)+1.344 \approx 50.6[/tex]

Part (c)

[tex]P(10)=0.7166(10)^2+6.267(10)+1.344 \approx 135.7[/tex]

Does the point(1, 1)satisfy the in equality 11x + 8y ≥ 20?

Answers

Answer:

Step-by-step explanation:

7x+19 (less than or equal too) 12

Answers

Answer:

x [tex]\leq[/tex] 17/7

Step-by-step explanation:

7x + 19 [tex]\leq[/tex] 12

Is the inequality you are trying to solve.

When solving an inequality, we solve it like a regular equation and do inverse operations by looking at the number and doing the opposite of whatever its operation is. Whatever happens on one side happens to the other. So you would first subtract 19 on both sides.

1. 7x + 19 [tex]\leq[/tex] 12

        -19       -19

   7x [tex]\leq[/tex] -17

the reason we subtracted was because the opposite operation to addition is subtraction as the number 19 had had a plus sign behind it

--

We would now divide as the operation opposite to multiplication is division and 7x is 7 times x

2. 7x [tex]\leq[/tex] -17

    ÷7    ÷7

  x [tex]\leq[/tex] [tex]\frac{17}{7}[/tex] OR 2 [tex]\frac{3}{7}[/tex]

--

The answer is:

x [tex]\leq[/tex] 17/7

Hope this helped!

A bookstore sells 6 books for $82.50. Which table represents the relationship
between number of books and the total price?

Answers

Answer: A

Step-by-step explanation: to find the base price, you would do 82.5 to give you a rate of 0.0727 (repeating) book per dollar. then if you do that with 7 and 8 in the same table, t gives you the same rate so A would be the answer.

Answer:

A

Step-by-step explanation:

We don't actually need to do any math to figure this out. We can use process of elimination and logical thinking.

we know it's not B because the prices are too close to each other, there is also the fact that 3 books should cost half of 82.50, and 15.75 isn't half of 82.50.

it's not D because 21 books cannot cost 33.75 dollars if 6 books cost 82.50.

it's not c because 12 books should be double the cost of 82.50, which it isn't.

therefore it must be A

hope this helps :D

Joe has 3/4 cup of paint in a container. He uses 1/3 cup on a project and then adds another 1/2 cup. How much paint does he have now?​

Answers

Answer:

Step-by-step explanation:

The cup of paint he has now is  11/12.

What is the amount of paint he has now?

We are basically going to add or subtract the quantity of cup added or used respectively.

Initially, he has 3/4 cup of paint.

He uses 1/3 cup out of the 3/4 cup of paint, so we subtract 1/3 from 3/4:

= 3/4 - 1/3 = 5/12

He adds another 1/2 cup, so we add 1/2 to what we have left previously (5/12):

= 5/12 + 1/2 = 11/12

Therefore, the amount of paint he has now is 11/12 cup

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there is a .9987 probability that a randomly selected 27-year old male lives through a year. a life insurance company charges $154 for insuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit

Answers

Using probability we know that the expected value of the insurance company is $141.

What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

So, the expected value of the insurance company:

Probability = 0.9987So, 1.0000 - 0.9987 = 0.0013

Now, get the expected value as follows:

E(x) = 0.9987 × 154 + 0.0013(-9987)E(x) = 153.7998 + (-12.9831)E(x) = 153.7998 - 12.9831E(x) = 140.8167

Rounding off: $141

Therefore, using probability we know that the expected value of the insurance company is $141.

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The complete question is given below:

There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.

What is the expected value for the insurance company?

3k-18 written as a product of 3

Answers

The answer is 6

If you divide 18 by 3 it's 6

What line gets the proportionality between y and x of 4/3

Answers

Answer is line B

Reason: 4/3 proportionality means y/x
y = 4, x = 3

Graph these points (3, 4) and line B crosses this coordinate

Assume the point (10,20) belongs to the graph of f(x) what point belongs to the graph of y = f( x - 5 )(15,20) (10,25) (5,20) (10,15)

Answers

Answer:

(15, 20)

Explanation:

If the point (10,20) belongs to the graph of f(x), a function that satisfies this point for example could be:

[tex]f(x)=2x[/tex]

When x is replaced with x-5, we have:

[tex]\begin{gathered} f(x-5)=2(x-5) \\ =2x-10 \end{gathered}[/tex]

Therefore, when x=15

[tex]\begin{gathered} f(x-5)=2(15)-10 \\ =30-10 \\ =20 \end{gathered}[/tex]

A point that belongs to the graph of y = f(x-5)​ is (15, 20).

18 red marbles; 6 to 9

Answers

27 blue marbles are there in the bag.

How to find the number of blue marbles?

Given,

A bag contains 18 red marbles.

The ratio of red marbles to blue marbles is 6:9

Solution:

From the given ratio of 6:9,

If 6 part is red marble, then 1 part = 18/6 =3

Therefore,

The number of blue marbles is 9*3 = 27

Thus, there are 27 blue marbles in the bag.

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calculate the the population standard division of the data set 5,4,5,3 to 6 round to the nearest hundred

Answers

Do you have a picture of your question?

Graph they given functions FNG in the same rectangular coordinate system describe the graph of G is related to the graph of F

Answers

Functions given:

[tex]f(x)=4x[/tex][tex]g(x)=4x-4[/tex]

Using a graphing calculator, we can find the graph of both functions:

The red line is representing f(x) graphically, while the blue line is representing g(x) graphically.

As they have the same slope, then f(x) is parallel to g(x).

Answer:

The functions are parallel.

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