Evaluate. Write your answer as a mixed number.

2 2/3×3 1/4=

























Find the distance between the two numbers on a number line. Write your answer as a mixed number.

−2 1/2, −5 3/4

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people.

Slavery is the practice of forcing individuals to work without pay or freedom. Historically, it has been used as a means of exploiting people for economic gain, and it has been justified on the basis of race, ethnicity, religion, or social status.

In the transatlantic slave trade, which lasted from the 16th to the 19th century, millions of Africans were captured and forcibly transported across the Atlantic Ocean to the Americas, where they were sold into slavery. Slaves were treated as property and denied basic human rights, such as the right to freedom, education, and family.

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people is known as "slavery." Slavery was a brutal and inhumane practice that existed in many parts of the world throughout history. In the United States, slavery was primarily used to support the Southern agricultural economy, with enslaved people being forced to work on plantations producing crops such as cotton, tobacco, and sugar cane. The abolition of slavery in the United States was a long and difficult struggle that culminated in the Civil War and the passage of the 13th Amendment to the US Constitution in 1865.

To know more about war visit:

https://brainly.com/question/11874600

#SPJ1

The winner received 570 votes.

Let the winner candidate be c1

Let the  second-place candidate be c2

Let the  third-place candidate be c3

\(c2=c1-155\\\).........equation 1

\(c2=c3+200\\\)

\(c3=c2-200 \\\)

\(c3=c1-155-200\\\).........by equation 1

\(c3=c1-355\)........equation 2

Now we know,

\(c1+c2+c3=1200\)

\(c1+(c1-155)+(c1-355)=1200\) .....by equations 1 and 2

\(3c1-510=1200\)

\(3c1=1200+510\\3c1=170\\c1=570\)

Hence, The winner received 570 votes.

Learn more about equations here https://brainly.com/question/16192514

#SPJ4

Answer:

the side lengths of the second triangle  are 2.25mm ,3m, and 3.75mm

the work shown:

3mm                              3mm × 3cm/4cm = 2.25mm

 4mm                               4mm × 3cm/4cm = 3mm

 5mm                               5mm × 3cm/4cm = 3.75mm

Answer:

12

Step-by-step explanation:

5x4=20

3x4=12

Answer:

12 Parts Red

Step-by-step explanation:

5*4=20

3*4=12

12 Parts Red

Answer:

x = 11

x = -4

Step-by-step explanation:

The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

A=P(1+r)^t

where A is the value after t period of time,

P is the value of the asset at the beginning, and,

r is the rate of interest.

The value of the home doubles once each decade.

Given to us

The value of a home increases by 7% each year.

As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.

We know the formula of compounding,

A=P(1+r)^t

Why does the value doubles?

Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,

A=P(1+r)^t

Substitute the rate at which the value is increasing,

A=P(1+0.07)^t

We know that in a decade there are 10 years,

A=P(1+0.07)^10=P(1.07)^10

=1.967P

Approximately

=2P

As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.

Hence, the value of the home doubles once each decade.

To Learn more about Compounding:

https//brainly.com/question/25857212

#SPJ1

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

Learn more about the alternative interior angles -

https://brainly.com/question/20344743

Answer:

search up the answers

Step-by-step explanation:

The correct option is Option A:  x > 38° this statement about x value is true.

Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.

Given the angle ∠NPO= 38°

∠PON= 39°

As we know the exterior angle is the sum of the two farthest interior angles of the triangle.

Then we can write the angle ∠PNM as

So, ∠PNM = ∠NPO + ∠PON

⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}

{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}

As x=77°

which satisfies the relation x=77° >38°.

Therefore,The correct option is Option A:  x > 38° this statement about x value is true.

Learn more about Exterior angle

Here: https://brainly.com/question/1445861

#SPJ10

Answer:C

Step-by-step explanation:

U can not add y or x the are not the se variable

The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.

Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.

Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.

To know more about Development  visit :

https://brainly.com/question/14869932

#SPJ11

Answer:

points needed hope you under stand

Step-by-step explanation:

stay safe though

Answer:

A= 20

Step-by-step explanation:

6a+10=130 (subtract 10)

6a=120 (divide by 6)

a=20

If you dont understand the order, you follow PEMDAS backwards

Add/subtract

Mult./div.

Exponent/root

The statement holds for k + 1. By the principle of mathematical induction, the original equation is proven for all positive integers n greater than or equal to 1.

To prove the given statement using mathematical induction, we first establish the base case. When n = 1, the equation becomes s(1) = 1 * 1! = 1. On the other hand, (1-1)! - 1 = 0 - 1 = -1. Since these values are not equal, the base case is invalid.

Next, we assume that the equation holds true for some positive integer k, denoted as s(k) = (k-1)! - 1. This is known as the induction hypothesis. Now we need to prove that the statement holds for k + 1.

Considering s(k+1), we can rewrite it as s(k+1) = (k+1) * (k+1)! and simplify it further.

s(k+1) = (k+1) * (k+1)!

= (k+1) * (k+1)! * k/k

= (k+1) * (k!) * k/k

= (k+1)! * k

= (k+1)! * (k+1 - 1)

= (k+1)! * k!

Now we can substitute the induction hypothesis into the equation:

s(k+1) = (k+1)! * k!

= (k+1 - 1)! - 1 (by induction hypothesis)

= k! - 1

Thus, the statement holds for k + 1. By the principle of mathematical induction, the original equation is proven for all positive integers n greater than or equal to 1.

For more information on induction visit: brainly.com/question/31393603

#SPJ11

Answer: 60

Step-by-step explanation:

Cost of a plastic cup = 80.00

Cost of 6 plastic cups = 80 * 6 = 480

Purchase price = 420

Discount = 480 - 420 = 60

The final price of the plastic cups is $420 with a $60 discount.

Subtract the final price from the original price then Divide this number by the original price. Finally, multiply the result by 100. You've obtained a discount in percentages.

First, we need to find out how much 1 plastic cup costs. We can do this by using the following formula:

price of 1 cup = total price/number of cups

In this case, the price of 1 cup is $80.00.

Next, we need to find out the original price of 1/2 dozen cups. We can do this by multiplying the price of 1 cup by the number of cups in a 1/2 dozen:

original price of 1/2 dozen = price of 1 cup x (number of cups in a 1/2 dozen)

The number of cups in a 1/2 dozen is 6, so the original price of 1/2 dozen cups is:

$80.00 x 6 = $480.00

Now that we know the original price and the final price of 1/2 dozen cups, we can find the discount by subtracting the final price from the original price:

discount = original price - final price

In this case, the discount is:

$480.00 - $420.00 = $60.00

Hence, the final price is $420 with $60 of discount.

To learn more about the percentage discount click here:

https://brainly.com/question/16524608

#SPJ2

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

y = -2x + 8

-y = -2x + 4

y = -2x + 8

0 = -4x + 12

-4x = -12

x = 3

Answer:

function - is a relation for which each value from the set the first components of the ordered pairs

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

To know more about square root , visit

brainly.com/question/29286039

#SPJ4

According the question The approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

Given:

- Sample size (n) = 500

- Probability of being against increasing taxes (p) = 0.35

- Probability of being in favor of increasing taxes (q) = 1 - p = 0.65

Mean (μ) and standard deviation (σ) of the binomial distribution:

\(\[\mu = n \cdot p = 500 \cdot 0.35 = 175\]\)

\(\[\sigma = \sqrt{n \cdot p \cdot q} \approx \sqrt{500 \cdot 0.35 \cdot 0.65} \approx 10.95\]\)

To find the probability of more than 200 people being against increasing taxes, we can use the normal approximation to the binomial distribution. Let's calculate the Z-score:

\(\[Z = \frac{{X - \mu}}{{\sigma}} = \frac{{200 - 175}}{{10.95}} \approx 2.28\]\)

Using a standard normal distribution table or calculator, we find that the probability of \(Z > 2.28\) is approximately 0.0114.

Therefore, the approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

To know more about deviation visit-

brainly.com/question/31261394

#SPJ11

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

Learn more about correlation coefficient here: brainly.com/question/15577278

#SPJ4

Answer:

I think its x-2

Step-by-step explanation:

Sorry if its wrong! :)

Part of question :

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

Answer:

Yes, equation of circle is true

Step-by-step explanation:

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

100=100

plugging the coordinates into the equation of the circle, we observe that the equation is true since both sides of the equation are equal(value on both sides of the equal sign are same). This wouldn't be true if for instance the left side of the equation evaluated to ≠100. Therefore we can conclude that the rose bush lies on circle since the equation is true

Answer:

\(\frac{6}{35}\)

Step-by-step explanation:

To find the ' middle ' add the 2 fractions and divide by 2 ( average )

\(\frac{1}{5}\) + \(\frac{1}{7}\) ( change denominators to 35 , the LCM of 5 and 7 )

= \(\frac{7}{35}\) + \(\frac{5}{35}\)

= \(\frac{12}{35}\)

midway = \(\frac{12}{35}\) ÷ 2 = \(\frac{6}{35}\)

The fraction is exactly midway between 1/5 and 1/7  is  \(\frac{6}{35}\) .

Sometimes you need to find the point that is exactly midway between two other points. For instance, you might need to find a line that bisects (divides into two equal halves) a given line segment. This middle point is called the "midpoint".

According to the question

The fraction is exactly midway between 1/5 and 1/7

Now ,

To find midway between 1/5 and 1/7

Step1 : Add fraction 1/5 and 1/7

= \(\frac{1}{5} +\frac{1}{7}\)

= \(\frac{12}{35}\)

Step2 : Divide the sum by 2 or multiply by 1/2

= \(\frac{12}{35}\) * \(\frac{1}{2}\)

= \(\frac{6}{35}\)

Hence, the fraction is exactly midway between 1/5 and 1/7  is  \(\frac{6}{35}\) .

To know more about midway here:

https://brainly.com/question/511147

#SPJ3

Answer:

7.12 percent is .0712

and for .019 it's 1.9 percent

Hey there!

2y - c

= 2(7) - 6

= 14 - 6

= 8

Therefore, your answer is: 8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\( = > 2y - c\)

\( = > 2(7) - 6\)

\( = > 14 - 6\)

\( = > 8\)

The value of expression is \( \sin 2x = \frac{12}{13} \), \( \cos 2x = \frac{5}{13} \), and \( \tan 2x = \frac{12}{5} \).

Given that \( \cos x = -\frac{3}{\sqrt{13}} \) and \( x \) terminates in quadrant III, we can find \( \sin 2x \), \( \cos 2x \), and \( \tan 2x \) using trigonometric identities.

We know that \( \cos 2x = 2 \cos^2 x - 1 \) and \( \sin^2 x + \cos^2 x = 1 \).

First, let's find \( \sin x \) using the given value of \( \cos x \). Since \( x \) is in quadrant III, \( \sin x \) will be negative.

\[ \sin x = -\sqrt{1 - \cos^2 x} = -\sqrt{1 - \left(-\frac{3}{\sqrt{13}}\right)^2} = -\sqrt{1 - \frac{9}{13}} = -\frac{2}{\sqrt{13}} \]

Now, we can find \( \cos 2x \):

\[ \cos 2x = 2 \cos^2 x - 1 = 2 \left(-\frac{3}{\sqrt{13}}\right)^2 - 1 = 2 \cdot \frac{9}{13} - 1 = \frac{18}{13} - \frac{13}{13} = \frac{5}{13} \]

Next, we can find \( \sin 2x \):

\[ \sin 2x = 2 \sin x \cos x = 2 \left(-\frac{2}{\sqrt{13}}\right) \left(-\frac{3}{\sqrt{13}}\right) = \frac{12}{13} \]

Finally, we can find \( \tan 2x \) using the identities \( \tan 2x = \frac{\sin 2x}{\cos 2x} \):

\[ \tan 2x = \frac{\sin 2x}{\cos 2x} = \frac{\frac{12}{13}}{\frac{5}{13}} = \frac{12}{5} \]

Therefore, \( \sin 2x = \frac{12}{13} \), \( \cos 2x = \frac{5}{13} \), and \( \tan 2x = \frac{12}{5} \).

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11