Use the Distributive Property to expand the expression 4(7x+3). Then simplify the expression.

Answer:1. Let  a = 1  and  b = 1 .

2. Now this means that  a = b .

3. If we multiply both sides by  a  we get  a^{2} = ab .

4. If we then subtract  b^{2}  from both sides we would have  a^{2} - b^{2} = ab - b^{2} .

5. We can then factorise both sides to get  (a + b)(a - b) = b(a - b) .

6. Dividing both sides by  (a - b)  would give us  a + b = b .

7. Substituting back the values of  a = 1  and  b = 1  would give us that  1 + 1 = 1 .

8. So this "proves" that  1 + 1 = 1  not  2 .

Except that in step 6, when we are dividing by  a - b , we are in fact dividing by zero. This is a violation of the rules of mathematics :/ soo... Um lol...

Step-by-step explanation: this is what happens when you dont do math correct

Answer:

The system of equations would be: Gucci stock: 680 + 6x = 1030 - 8x Eloton stock: 680 + 6x = 1030 - 8x Solving the system of equations yields x = 175, meaning it will take 175 days for the stocks to have the same value. The value for both stocks after 175 days will be equal to $930.

Answer:

414 t

Step-by-step explanation:

If the problem is 72 fluid ounces and "t" is teaspoons (?), then the conversion is:

(72 oz)(5.751669 t/oz) = 414 t

**this also assumes the fluid is water

Answer:

it's A

Step-by-step explanation:

1 3/4 plus 1 1/2 is equal to 3 1/4

The inequality that represents the case where Donna has equal or more money saved than Jason is:

$600 + $90*m ≤ $300 + $120*m

We know that Jason has $600 on his bank, and he saves $90 per month, then the amount that he has after m months is:

J(m) = $600 + $90*m

Donna has $300 in her bank and she saves $120 each month, so after m months, she has:

D(m) = $300 + $120*m

Now we can write the inequality:

J(m) ≤ D(m)

Replacing the actual equations we will get:

$600 + $90*m ≤ $300 + $120*m

That is the inequality that represents the situation where m is the number of months when Donna will have at least as much money as Jason.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

The value of v from the given equation is 2.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 5(3 + 5v) = 65.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

3+5v=13

5v=13-3

5v=10

v=2

Therefore, the value of v is 2.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

The statement must be true about p(x): "The remainder when p(x) is divided by x - 2 is -5". which is the correct answer that would be an option (D).

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

For a polynomial p(x), the value of p(2) is -5.

The remainder when p(x) is divided by x - 2 is -5.

This statement must be true because, by definition, the remainder of a polynomial division is the value of the polynomial when it is evaluated at the divisor. In this case, the divisor is x - 2, so the remainder when p(x) is divided by x - 2 is p(2). Since the value of p(2) is given as -5, it follows that the remainder when p(x) is divided by x - 2 must be -5.

None of the other statements are necessarily true based on the information given.

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ1

The inequality between -4 and 6 is; -4<x<6

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions

Let X represents the numbers between -4 and 6

X is between -4 and 6  means -4 and 6 is not included in the series of number. That is they are the boundaries

The numbers between -4 and 6 are; -3, -2, -1, 0, 1, 2, 3, 4, 5.

To find the inequality look the series of numbers. We notice that the numbers ( -3, -2, -1, ) are greater than -4  (the numbers are greater than -4 because they are nearer  to 0 on the left hand side of the number line) and the numbers (1, 2, 3, 4, and 5) are smaller than 6

Therefore, the inequality is; -4 < X < 6

Learn more about inequality at:https://brainly.com/question/25275758

#SPJ1

The rational zero theorem is the reason that you find the factors of x and not b for factor a trinomial x² + bx + c.

According to the Factor Theorem, any polynomial function, which is the case of a trinomial, is factored according to the products of the linear factors of a function, which are dependent on the zeros of the function.

The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant divided by the factors of the leading coefficient.

For the trinomial x² + bx + c, the parameters are given as follows:

As the term b is not the constant, while c is, c is used to obtain the zeros of the trinomial and then factor it.

More can be learned about the rational zeros theorem at brainly.com/question/28782380

#SPJ1

The value is x=9, when the points are (x,1), (-3,7), (-5,9), (5,4).

The slope formula is defined as the formula used to calculate the steepness of a line and to determine how much it's inclined. To calculate the slope of the lines, we need the x and y coordinates of the points.

The formula to calculate slope is given as,

m = (y2 - y1)/(x2 - x1)

where m is the slope of the line,

x1, x2 are the coordinates of the x-axis,

y1 and y2 are the coordinates of the y-axis.

Consider the Points as A=(x,1),B=(-3,7),C=(-5,9),D=(5,4)

Now, take two points  C, D to know the m value:

Slope  = y₂ - y₁/ x₂-x₁

m1 = 4 - 9 / 5- [-5]

     = -5 / 5+5  = -5/10 = -1/2

m1 = -1/2

Consider the next two points A, B:

A(x, 1), B(-3,7)

Slope of AB m2 =  7- 1 / -3 - x  

m2= 6/-3-x

As AB  || CD, m2 = m1

6/-3-x=-1/2

6*2=-1 *(-3-x)  {cross multiplication}

12 = (-1 * -3)-x *-1

3+x = 12

x=12-3

x = 9

To Know more about the Slope of the line:

https://brainly.com/question/19088923

#SPJ4

Answer:

S+10

Step-by-step explanation:

you take what shoes ruban already has and add 10 when its says more it is more that likely a addition

Answer: It will take 3 weeks for both of us to have collected the same

Step-by-step explanation: just did this

Answer:

First equation: y = 14 + 3x

Second equation: y = 8 + 5x

Step-by-step explanation:

To model this situation, we can set up a system of two equations. The first equation will represent the number of items you have collected after a certain number of weeks, and the second equation will represent the number of items your friend has collected after the same number of weeks.

First equation: y = 14 + 3x

Second equation: y = 8 + 5x

To find the number of weeks it takes for you both to donate the same number of items, we can set the two equations equal to each other and solve for x.

14 + 3x = 8 + 5x

6x = 6

x = 1

It will take 1 week for you both to donate the same number of items. To find the total number of items each of you will have donated at that point, we can substitute 1 for x in either of the original equations and solve for y.

For example, substituting 1 for x in the first equation gives us: y = 14 + 3(1) = 14 + 3 = 17

So, after 1 week, you will have donated 17 items, and your friend will have donated the same number of items.

Answer:

-1/3

Step-by-step explanation:

The expression ln(y⁷/x⁵) can be written as u⁷ - v⁵.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is ln(y⁷/x⁵) and u = ln(x) and v = ln(y). The expression in terms of u and v can be written as,

E =  ln(y⁷/x⁵)

E = ln(y)⁷ - ln(x)⁵

E = u⁷ - v⁵

Hence, the solution for the expression is E = u⁷ - v⁵.

To know more about an expression follow

https://brainly.com/question/25710806

#SPJ1

The linear equation is Y = -55643.61069X + 112841371.95165, and

value for year 2000 is  $15,54,150.6.

When modelling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method (also known as dependent and independent variables). Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables. As opposed to multivariate linear regression, which predicts numerous correlated dependent variables as opposed to a single scalar variable, this phrase is more specific.

Given

X(year)          2008           2012         2013         2014            2015           2019

Y(values $) 1,363,812   1,097,236   1,021,124    945,012    868,900  500,200

Mean of X is Mx 2013.5

Mean of Y is My 802961.8333

X - Mx      Y - My     (X - Mx)²  (X - Mx)(Y - My)

-5.5   560850.1667  30.25  -3084675.917

-1.5      -693238.8333         2.25  1039858.25

-0.5       218162.1667         0.25  -109081.0833

0.5       151050.1667         0.25  75525.0833

1.5      65938.1667         2.25  98907.25

5.5        -302761.8333       30.25  -1665190.083

                                  SS: 65.5     SP: -3644656.5

equation is y = mx + c

m = SP/SS = -3644656.5/65.5 = -55643.61069

c = My - mMx = 802961.83 - (-55643.61 x 2013.5) = 112841371.95165

Y = -55643.61069X + 112841371.95165

and value for year 2000 is

Y = -55643.61069X + 112841371.95165

Y = $15,54,150.6

Hence the equation is  Y = -55643.61069X + 112841371.95165 and amount for year 2000 is  $15,54,150.6.

Learn more about  linear regression;

https://brainly.com/question/29665935

#SPJ1

Answer:

Step-by-step explanation:

Ok, I am assuming you want help on the b) part.

1. False

Some whole numbers are irrational numbers - This is completely false as there is no whole number which is an irrational number. 0, 1, 2 can never be a number with a decimal.

2. True

Some rational numbers are not whole numbers. - This is true. For example, 3/4 is a rational number but it is not a whole number.

3.False

Some irrational numbers are not integers - This is partially false as the wording of the question is wrong. It should be ALL irrational numbers are not integers because an integer cannot have a decimal place.

4. False

All rational numbers are integers - This is again, partially false as the wording of the question is again wrong. It should be SOME rational numbers are integers. For example, 1/2 is a rational number but it is not an integer.

Pls mark as brainliest. Cheers

Answer:

43 inches

Step-by-step explanation:

172 divided by 4

(b) The probability is 0.71639, (c) Probability is 0.0527, (d) Probability is 0.5278.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability of males who are color blind = 8% = 0.08

Probability of males who are not color blind = 92% = 0.92

(b) Probability that she won't find anyone color blind among the first four men she checks = (0.92) (0.92) (0.92) (0.92) = 0.71639 = 71.639 %

(c) If the first color blind man is the sixth person checked, the five person prior to this are not color blind.

Probability = (0.92)⁵ (0.08) = 0.0527 = 5.27%

(d) Probability before checking the 10th man means the probability of finding colorblind person among the 9 person.

Probability of finding no person color blind among 9 person = (0.92)⁹ = 0.47216 = 47.216%.

Probability that she finds someone who is color blind before checking the 10th man is = 1 - 0.47216 = 0.5278 = 52.78%

Hence the probabilities in every cases is found.

Learn more about Probability here :

https://brainly.com/question/30034780

#SPJ1

Answer:

  (-∞, 0]

Step-by-step explanation:

You want the x-intercepts of a function that is zero for x ≤ 0 and 3/2x for x > 0.

The x-intercepts are the values of x for which a function has the value 0. Here, that is the case for all values of x less than or equal to zero. In interval notation, the x-intercepts are ...

  (-∞, 0] . . . . . . non-positive values of x

Answer:

The second one is your answer!!

Step-by-step explanation:

Answer:

9z square+49+42z

Step-by-step explanation:

right!

The product zy is rational because it can be written as the quotient of an integer and a nonzero integer.

The Correct option is (A).

A rational number is any number that can be expressed as a ratio (or fraction) of two integers.

Some of the examples of rational numbers are 1/2, 1/5, 3/4, and so on.

Given:

z= a/b and y = c/d

We have also given that a and c are defined to be integers, and b and d are nonzero integers.

So, the product of zy

= ac / bd

Hence, the product zy is rational.

Learn more about Rational Number here:

https://brainly.com/question/24540810

#SPJ1

Using the formula for the selling price with the markup price and the cost price , The answer is the selling price of the jacket would be $454.

Profit, also known as net income, is the amount by which revenue exceeds expenses. It is the money a company earns after deducting all its expenses. Loss, also known as net loss or net income, is the amount by which expenses exceed revenue. It is the money a company loses after deducting all its expenses. Profit and loss statement shows the revenues, costs and expenses, and net income of a company. It's an important metric for investors, as it helps them understand the company's financial health and assess its potential for growth.

Selling price, also known as the "price," is the amount that a customer pays for a product or service. It is the price at which a company offers to sell its goods or services to customers. Selling price is determined by a variety of factors such as production costs, marketing and distribution expenses, and competition. Selling price is an important metric for businesses as it is a key driver of revenue, and it also helps a company to determine its profit margin.

Selling price = Cost price + (Markup percentage x Cost price)

Selling price = $140 + (220/100 x $140)

Selling price = $140 + $308

Selling price = $454

To learn more about price visit:

https://brainly.com/question/29205061

#SPJ1

The equation of the circular flower garden represented on the blueprint is (x-5)²+(y-15)² = 4

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Fencing encloses a rectangular backyard that measures 200 feet by 600 feet. A blueprint of the backyard is drawn on the coordinate

plane so that the rectangle has vertices (0,0), (0, 30), (10, 30), and (10, 0).

A circular flower garden is dug to be exactly in the centre of the backyard, with a radius of 40 feet. This garden is represented of on the blueprint.

Since, the rectangle has vertices (0,0), (0, 30), (10, 30), and (10, 0) therefore, it will form a rectangle with width 10 units and height 30 units.

In this situation, the centre of the rectangle is at (5, 15) (Half of the width in the first coordinate and half of the height in the second one)

Since, we know that the equation of the circle is given by;

(x-a)²+(y-b)² = R²

Where, (a, b) is the centre point and R is the radius,

Therefore, the equation of the flower garden will be;

(x-5)²+(y-15)² = R²

Now, solving for R,

We know that the rectangular backyard width is 200 feet and this is represented with a rectangle in the blueprint with width 10 units

10 units = 200 ft

Therefore, 40 ft = 2 units

Therefore, The radius of 40 feet is represented with 2 units in the blueprint.

Now we replace R = 2 in the equation :

(x-5)²+(y-15)² = 2²

(x-5)²+(y-15)² = 4

Hence, the required equation is (x-5)²+(y-15)² = 4

For more references on equation, click;

https://brainly.com/question/29657983

#SPJ1

The measures of the angles of the triangles are

m∠1 = 55°

m∠2 = 125°

m∠3 = 35°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔCDE

And ∠BAC = m∠1

And , ∠CDE = m∠3

Now , from the triangle ΔABC

∠ABC = 180° - 110° ( Angle of a straight line is 180° )

So , the measure of angle ∠ABC = 70°

The sides of the triangle AC and BC are similar

So , The angles of the triangle are = 70° + x + x = 180°

On simplifying the equation , we get

70° + m∠1 + m∠1 = 180°

Subtracting 70° on both sides of the equation , we get

2m∠1 = 110°

Divide by 2 on both sides of the equation , we get

m∠1 = 55° = ∠ACB

And , ∠ACB and m∠2 are on a straight line

So , m∠2 = 180° - 55°

On simplifying the equation , we get

m∠2 = 125°

The triangle ΔCDE is a right triangle with ∠DCE = m∠1 ( vertically opposite angles )

So , the angles of the triangle are = 90° + 55° + m∠3 = 180°

On simplifying the equation , we get

145° + m∠3 = 180°

Subtracting 145° on both sides of the equation , we get

m∠3 = 35°

Hence , the measures of the angles of the triangles are are m∠1 = 55° , m∠2 = 125° , m∠3 = 35°

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

Answer:

B - 10:15 a.m. to 3:25 p.m.

Step-by-step explanation:

9:10 p.m. to 1:55 a.m. - 4h 45m

10:15 a.m. to 3:25 p.m. - 5h 10m

2:45 p.m. to 7:45 p.m. - 5h

1:05 p.m. to 6:10 p.m. - 5h 5m

The probability of selecting a heart and flipping a coin and landing on heads is the product of these two probabilities, or approximately 0.12.

To find the probability, We have given:

There are 13 hearts in a standard pack of playing cards, and there are 52 cards total. The probability of selecting a heart is 13/52, or approximately 0.25. The probability of flipping a coin and landing on heads is 1/2, or approximately 0.50.

The probability of selecting a heart and flipping a coin and landing on heads is the product of these two probabilities, or approximately 0.12. This can be written as P(heart) * P(heads) = (13/52) * (1/2) = 0.12.

To learn more about the probability, visit:

brainly.com/question/30034780

#SPJ4.

The probability of selecting a heart and the coin landing on heads = 1.25

In this question we have been given a  card is drawn at random from a standard pack of playing cards then a fair coin is flipped.

We need to find the probability of selecting a heart and the coin landing on heads.

We know that there are 13 hearts in a standard deck of playing cards, and there are 52 cards total.

So, the probability of selecting a heart would be,

P1 = 13/52

P1 = 1/4

P1 = 0.25

We know that the probability of flipping a coin and landing on heads is 1/2

P2 = 1/2

P2 = 0.50

The probability of both occurring is the product of the two probabilities,

P = P1 * P2

P = 0.25 * 0.50

P =1.25

So, the required probability is 1.25

Learn more about the probability here:

https://brainly.com/question/22983072

#SPJ4.

An equation that would have infinitely many solutions to 3x + 7y = 10 is written to be  6x + 14y = 20

A consistent system is dependent if there are an endless number of possible solutions.

The two equations represent the same line when you graph them. Such equations increase or decrease by same factor hence using a factor of 2 to increase the given equation we have

(3x + 7y = 10) *  2

= 6x + 14y = 20

6x + 14y = 20 will have infinite number of possible solutions when solved with 3x + 7y = 10

Learn more on simultaneous equation here:

https://brainly.com/question/29729655

#SPJ1

The series of transformations that would map figure Q onto figure R include

A translation 3 units down followed by a reflection over y axis

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.

The four ways include

The Pre-Image refers to the object's initial shape, and the Image, after the transformation, refers to the object's ultimate shape and location.

In the problem, the translation that maps figure Q onto figure R

Translation down 3 units: this brings the two objects to the same level

Reflection over y-axis: this creates a mirror image to the right hand sode

Learn more about transformation at:

https://brainly.com/question/4289712

#SPJ1

Answer:

d. 6/9

Step-by-step explanation:

There are 6 consonants in the word education.