2(x + 7) + 3x = 12 (given)
2x + 14 + 3x - 12 (?)
5x + 14 - 12 (simplify)
5x = -2 (subtraction)
x = -2/5(division)
What is the missing reason?
A)
Addition
B)
Subtraction
c)
Reflexive Property
D)
Distributive Property

As per the combination method, there are 84 number of ways in which 9 different computer games can be shared out between Wainah, Jingyi and Hebe so that each person receives an odd number of computer games.

Combination method

The way of selecting items from a collection where the order of selection does not matter is known as combination.

Given,

Here we need to find the number of ways in which 9 different computer games can be shared out between Wainah, Jingyi and Hebe so that each person receives an odd number of computer games.

Here we know following things,

Number of games in the system = 9

number of person should be shared = 3

So, according to the combination formula,

nCk = n!/k!(n-k)!  when n>k

The value of n is 9 and the value of k is 3

Now, we have to apply the values on the nCk formula, then we get,

9C3 = 9!/3!(9-3)!

When we simplify this one then we get,

=> 9C3 = 9! / 3! 6!

=> 9C3 = 84

Therefore, there are 84 possible ways are presented in this situation.

To know more about Combination method here.

https://brainly.com/question/13321353

#SPJ1

Answer:

-7/3

Step-by-step explanation:

Give your answer in its simplest form.​

Gradient is also known as slope and it is expressed as;

Slope = y2-y1/x2-x1

Given the coordinate point (7,2) and (10,-5).

Slope = -5-2/10-7

Slope = -7/3

Hence the gradient of the line segment between the points is -7/3

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

for such more question on trapezoids

https://brainly.com/question/22351006

#SPJ8

A circle is 360 degrees so 360 = b + 96 + 209

360 = b + 305

b = 55 degrees.

Answer:

Expected time is 15 hours for him to get to safety.

Step-by-step explanation:

We define X as the time that this miner would get to safety.

We define Y as the door he chooses initially.

P(Y= 1) = P(Y=2)=P(Y=3) = 1/3

We have E[X|Y=1] = 3

E[X|Y] = 5 hours + E[X}

E[X|Y] = 7 hours + E[X]

Then we have

E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])

We cross multiply

3*E[X] = (15 + 2E[x])

3E[X] - 2E[X] = 15

E[X] = 15

So the time it would take to get him to safety is 15 hours

Answer:

  A

Step-by-step explanation:

It looks like you can make the short table ...

(recipe, ounces, servings, ounces/serving)

(A, 28, 14, 28/14 = 2.00)

(B, 9, 12, 9/12 = 0.75)

(C, 1.3, 1, 1.3/1 = 1.30)

Recipe A uses the most flour per serving of pizza.

Answer:

A

Step-by-step explanation:

The estimated profits for each company are given as follows:

Jones Corporation:

Davis Company:

The function that defines the profit for Jones Corporation is an exponential function defined as follows:

y = 10(0.99)^t

In which t is the number of years since 2015, while the profit is measured in millions of dollars.

Thus the coefficient a = 10 means that the estimated profit for the year of 2015 is of 10 million dollars.

For the year of 2025, that is, 10 years after 2015, the estimate is calculated as follows:

y = 10(0.99)^10 = 9.084821 = $9,084,821.

For Davis Company, the profit function is given as follows:

y = 8(1.01)^t.

Hence the profits are modeled as follows:

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

maybe since the rhombus is divided into triangles it'll be easier. x = 8

Step-by-step explanation:

the total degrees in a triangle would be 180 and the inner little angles would be 90 degrees so you would solve for (7x - 1) + (4x + 3) + 90 = 180 so 11x + 2 = 90 so 11x = 88 so x = 8

hope this helps!

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.

Then the retail price is given as,

⇒ $80 x (1 + 0.445)

⇒ $80 x 1.445

⇒ $115.60

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer: C) 10n +19

Step-by-step explanation:

Let's simplify the provided expression (3n+13) + (6+7n)

Since this is just addition we can just remove the parenthesis and use the commutative property to make adding easier

3n+13+6+7n

3n+7n+13+6

10n+19

Answer:

5/6, 7

Step-by-step explanation:

The statement that the one with a higher coefficient of variation exhibits higher variability is true.

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

Read more about random variables here:

https://brainly.com/question/14356285

#SPJ1

the tire rod of the smaller train would be 3.6 inches long if the scale factor is 10.

What is the constant of proportionality?

The constant of proportionality is a term that is defined as the rate or the ratio of two proportional values which are known to be at the same value.

we can set up the following proportion:

(Larger train tire rod length) / (Larger train length) = (Smaller train tire rod length) / (Smaller train length)

Substituting the given values, we have:

36 / (Larger train length) = x / (Smaller train length)

Since we don't know the exact lengths of the larger and smaller trains, we cannot solve for x directly. However, we can use the fact that the smaller train is a scale drawing of the larger train to set up another proportion:

(Larger train length) / (Smaller train length) = (Scale factor)

Let the scale factor be s. Then we can rewrite the above proportion as:

(Larger train length) = s x (Smaller train length)

Substituting this expression into the first proportion, we have:

36 / (s x Smaller train length) = x / (Smaller train length)

Simplifying, we get:

x = 36 / s

x = 36 / 10 = 3.6 inches

In other words, the tire rod of the smaller train would be 3.6 inches long if the scale factor is 10.

To know more about constant of proportionality visit,

https://brainly.com/question/28413384

#SPJ9

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

Read more about tangent lines at

https://brainly.com/question/21595470

#SPJ1

Based on the definition of a circumcircle, the center of the circle as shown in the image below is located: B. inside the triangle.

A circumcircle, as shown in the diagram attached below, is a circle that is drawn so that all the vertices of a triangle touches the circumference of the circle.

Thus, as shown in the image attached below, the center of the circle is located: B. inside the triangle.

Learn more about circumcircle on:

https://brainly.com/question/4564137

#SPJ1

Answer: OUTSIDE THE TRIANGLE

Step-by-step explanation: ANSWER ON EDMENTUM/PUTO

Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

If there is a negative sign in front of a number when trying to find absolute value, remove the negative sign. This is vice-versa if there is no negative sign. Have a Great Day and Hope this Helps :)

Answer: 3

Step-by-step explanation:

-3 is 3 spots away from the origin (0) when looking on a number line, and the absolute value is always the same number given(as a positive), even when it is negative

Answer:

q = -8

Step-by-step explanation:

Given the slope and ordered pairs (7, 1) (4, q)

Use slope = 3 and point (7,1) and  substitute into the slope-intercept  form y = mx + b  and solve b

y = mx +b

1 = 3(7) + b

1 = 21 + b

-20 = b

Now write the equation of the line y = 3x - 20

          Substitute (4, q)  into y = 3x - 20  

                                              q = 3(4) - 20

                                              q = 12 - 20

                                               q = -8

Check:   Substitute into the slope formula  the two ordered pairs (7, 1) (4, -8)

Slope = (change in the y-values)/(change in the x-values)

Slope = (-8 - 1)/(4 - 7)

Slope = (-9)/(-3)

Slope = 3    √

The quotient of the complex number in standard form is \(\frac{11}{12} + \frac{11i}{12}\) .

A complex number is a number system that extends the real numbers with a specific element known as the imaginary unit and fulfilling the equation i² = 1; each complex number can be expressed by the form a + bi, where a and b are real numbers.

René Descartes called " i " an imaginary number because no real number can satisfy the following equation. The real component of the complex number a + bi is referred to as its real part, and the imaginary component is referred to as its imaginary part. One of the symbols or C represents the complex number set.

The given number is \(\frac{11}{1-i}\)

Now we have to remove the complex part from the denominator.

\(\frac{11}{1-i} \times \frac{1+i}{1+i} \\\\\\=\frac{11(1+i)}{11^2-i^2}\)

\(=\frac{11+11i}{11-(-1)}\\ \\=\frac{11}{12} + \frac{11i}{12}\)

Hence the Standard form of the quotient is \(\frac{11}{12} + \frac{11i}{12}\)

To learn more about complex number visit:

https://brainly.com/question/18392150

#SPJ1

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

Learn more about area, click;

https://brainly.com/question/27683633

#SPJ1

Answer:

- 8.5

Step-by-step explanation:

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

learn more on set here: https://brainly.com/question/29484130

#SPJ1

Answer: corresponding angles. lie on the same side of a transversal in corresponding positions with respect to two lines that the transversal intersects if the lines are parallel then the corresponding angles are congruent.

Step-by-step explanation:

Answer:

9,027.83

100 times smaller

Step-by-step explanation:

Given 184.36, the place value of 8 in the number is 8 tens i.e 8* 10 = 80

The place value of 8 in 9,027.83 is 8 tenth i.e 8* 1/10

8* 1/10 = 8/10

8/10 = 0.8

Hence the number that has the smaller value of 8 is 9,027.83.

To get how many times smaller the number is, we will take the ratio of 80 to 0.8 as shown:

\(= \frac{80}{0.8}\\ \\= 80 \div 0.8\\\\= 80 \div \frac{8}{10} \\\\\)

\(= 80 * \frac{10}{8}\\ \\= \frac{800}{8}\\ \\= 100\)

This means that the number 0.8 is 100 times smaller than 80

Answer:

the answer will be 126

i hope this helps you

Answer:

126

Step-by-step explanation:

If we get 30% off, we pay 70%. 70% as a decimal is 0.7. We multiply 0.7 with 180 to get the final price.

0.7*180=126

Answer:

::::::::::

B. y^2= -12x

The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You have $1000 to put resources into two distinct records. To set aside the cash you really want for school, you really want to average a 6.1 percent premium. Assuming the two records pay a 3% and 7 % premium.

Let 'x' be the amount deposited in an account that pays 3% of interest. Then the amount deposited in another account that pays 7% of interest is (1000 - x). Then the equation is given as,

0.03x + 0.07(1000 - x) = 0.061 × 1000

Simplify the equation, then we have

0.03x + 0.07(1000 - x) = 0.061 × 1000

0.03x + 70 - 0.07x = 61

-0.04x + 70 = 61

0.04x = 70 - 61

0.04x = 9

x = 9 / 0.04

x = $225

Then the amount in the second account will be given as,

⇒ $1000 - $225

⇒ $775

The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

Read below

Step-by-step explanation:

If there are 12 marbles it could split up many different ways for it to be equal among every color. 4 of each for 3 colors or 3 of each for 4 colors. The list goes on you could even have 12 different colors.

Answer:

I think it's the second one, by using the process of elimination and knowing there are 12 in total we could simplify it and that can equal 1/6 and 1/6 is 5 sections 1 coin. You see what I mean.

Step-by-step explanation:

I think it's wrong, looking forward to another week of punishment. Hooray. Woo-Hoo, yay.