What is 6 2/3 divided 1/5

Answers

Answer 1

Hello!

Let's solve:

   [tex]\text{Write down the equation}\\\dfrac{6\dfrac{2}{3} }{\dfrac{1}{5} } \\\\\\\text{Convert the nominator, a mixed partial fraction to an improper fraction}\\\dfrac{\dfrac{20}{3} }{\dfrac{1}{5} } \\\\\\\text{When dividing by a fraction, flip the fraction over and multiply its reciprocal}\\\dfrac{20}{3} *\dfrac{5}{1} = \dfrac{100}{3} \\\\\\\text{Convert the improper fraction back mixed partial fraction}\\\dfrac{100}{3} =33\dfrac{1}{3}[/tex]

Answer: [tex]\dfrac{100}{3} \text{ or }33\dfrac{1}{3}[/tex]

Hope that helps!


Related Questions

standard to slope intercept form

Answers

Answer: y = 1/6x + 1

Step-by-step explanation:

12y - 2x= 12

    +2x  +2x

12y =  12 + 2x

DIVIDE BOTH SIDES BY 12

y = 1 + 1/6x

THEN PUT IN SLOPE INTERCEPT FORM

y = 1/6x + 1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y - 2x = 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y = 2x + 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{12} x + \frac{12}{12} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{1}{6} x + 1[/tex]

Slope = 1/6, y - intercept = 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Georgia is given a rectangular piece of paper. If the
length of Georgia's piece of paper is represented by
x - 5 and the width is represented by 7x - 3, then
what is the area of the paper represented by?

Answers

Answer:

i will answer in 2050 my bad

i just need the points rq

Step-by-step explanation:

n/a

write the equation of a circle given the center (2, 9) and radius r = 3

Answers

Answer: x^2 + y^2 - 4x + 18y = 76 = 0

The center of the circle given is (2, 9)

radius = r

The equation of a circle for a given point is

(x - h)^2 + (y - k)^2 = r^2

Where h = 2, and y = 9

(x - 2)^2 + (y - 9)^2 = 3^2

Expand the parentheses

(x - 2) (x - 2) + (y - 9) (y - 9) = 9

(x - 2) (x - 2 ) = x* x - 2*x - 2*x + 2* 2

= x^2 - 4x + 4

(x - 2) (x - 2) = x^2 - 4x + 4

(y - 9) (y - 9) = y*y - y*9 - 9*y + 9*9

= y^2 - 18y + 81

(y - 9) (y - 9)= y^2 - 18y + 81

Therefore, the equation becomes

x^2 - 4x + 4 + y^2 - 18y + 81 = 9

Re-arrange the equation

x^2 + y^2 - 4x - 18y + 4 + 81 = 9

x^2 + y^2 - 4x - 18y = 9 - 81 - 4

x^2 + y^2 - 4x - 18y = -76

x^2 + y^2 - 4x - 18y + 76 = 0

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Answer:

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Step-by-step explanation:

Please help I have no clue what I’m doing! Grade is getting low and this was due awhile ago!

Given the function below, determine the following.

f(x) = 10x + 13

Find f(3).
f(3)

Find f(-8).
f(-8)

Find x if f(x) = 53.
x=

Answers

Answer:

see explanation

Step-by-step explanation:

f(3) means what is the value of f(x) when x = 3

substitute x = 3 into f(x)

f(3) = 10(3) + 13 = 30 + 13 = 43

similarly for x = - 8

f(- 8) = 10(- 8) + 13 = - 80 + 13 = - 67

given f(x) = 10x + 13 and f(x) = 53 , equate the right sides

10x + 13 = 53 ( subtract 13 from both sides )

10x = 40 ( divide both sides by 10 )

x = 4

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Average Cycling Speed A graph titled Average Cycling Speed has minutes on the x-axis and miles per hour on the y-axis. Points are at (5, 15), (10, 13), (15, 11), (20, 10), (25, 9). a. no correlation b. negative; as time passes, speed decreases c. positive; as time passes, speed increases d. positive; as time passes, speed decreases Please select the best answer from the choices provided A B C D Mark this and return

Answers

Step-by-step explanation:

5,15 can accord to be an sciencetistic teachers, the 15,11 which means you can appear to combine them together and be an 100 then you do the abcd and boom

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2 ?

Answers

Answer: 35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer: 35N :)))))))))))))))))))))))))))))

Standard to slope intercept form

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 6x+ 6[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given equation is :

[tex]\qquad\displaystyle \tt \rightarrow \: 24x + 4y = 24[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 4y =24 - 24x [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ 24}{4} - \frac{24x}{4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 6x + 6[/tex]

And this the equation of same line in its slope intercept form, where slope (m) = -6 and y - intercept = +6

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The telephone company offers two billing plans for local calls. Plan 1 charges $31 per
month for unlimited calls and Plan 2 charges $13 per month plus $0.03 per call.

a. Use an inequality to find number of monthly calls for which Plan 1 is more
economical than Plan 2.

b. Explain the meaning of the answer to part a.

Answers

Answer:

i think is (a)

because i zay do

Step-by-step explanation:

anyways...... i want more pictures of math problems

Write each number as a power of 4
a) 1/4
b) 1/64​

Answers

Answer: I am going to assume that 1/4 is 1 over 4 ( a fraction ) and that it is the same for 1/64

A) 0.00390625

B)     0.015625^4  <------( Here is the equation. when i put it in a calculator it was too long. here is the answer that gave me: 5.96046448 e-8 )

what is the common ratio for the geometric sequence 35/2, 7, 14 / 5, 28 / 25, enter your answer as a decimal

Answers

Given:

The geometric sequence is

[tex]\begin{gathered} a_1,a_2,a_3,a_4 \\ \frac{35}{2},7,\frac{14}{5},\frac{28}{25} \end{gathered}[/tex]

To find the common ratio,

[tex]\begin{gathered} Ratio=\frac{a_2}{a_1} \\ =\frac{7}{\frac{35}{2}} \\ =\frac{7\cdot2}{35} \\ =\frac{14}{35} \end{gathered}[/tex]

Hence the common ratio, r is 14/35.

Help ASAP, will mark brainliest!

If triangle ABD is congruent to triangle CBD, angle ADB = 49 degrees and angle CDB = 7x.

Answers

Answer:

x = 7 degrees

Step-by-step explanation:

Angle CDB = 49 degrees (corresponding angles triangle ABD congruent to triangle CBD)

Angle CDB = 49 degrees = 7x

7x = 49 degrees

x = 7 degrees

You are on the prom decorating committee and are in charge of buying balloons. you want to use both latex and mylar balloons. The latex balloons cost $.10 each and the mylar balloons cost $.50 each. You need 125 balloons and you have $32.50 to spend. how many of each can you buy?

Answers

I can buy 75 latex balloons and 50 mylar balloons.

This is a problem from an algebraic equation. We can solve this problem by following a few steps.

We need 125 balloons. Let's assume we have to purchase x latex balloons.

So, mylar balloons are ( 125 - x ).

Our total budget is $32.50.

The cost of x latex balloons is ($.10 × x) = $.10x , as the latex balloons cost $.10 each.

The cost of ( 125- x)  mylar balloons is $[( 125- x) × 0.50] , as the mylar balloons cost $.50 each.

So the total cost is,

$[( 125- x) × 0.50] + $.10x  = 32.50

Now, we have to solve this equation, Let's simplify it.

62.50 - 0.50x + .10x = 32.50

Or, 62.50 - 0.40x = 32.50

Or, -0.40x =  32.50 - 62.50       [ deduce 62.50 from both side ]

Or, -0.40x =  -30                 [ we should devide both sides 0.40 ]

Or, x = 30/0.40 = 75

So, the number of latex balloons is 75. Therefore, the number of remaining mylar balloons is ( 125 - 75) = 50

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If log3 x + logx 3= 2.5 find the value of x

Answers

The value of x is -0.004624

[tex]log_{3} (x)+log_{x} (3)=2.5[/tex]

[tex]log_{3} (x)+\frac{log_{3} (3)}{log_{3} (x)} =2.5[/tex]

Let z= [tex]log_{3} (x)[/tex]

[tex]z+\frac{1}{z} = 2.5[/tex]

[tex]3z^{2} + z-2.5z=0[/tex]

z= -0.166

[tex]log_{3} (x)=-0.166[/tex]

x = -0.004624

What is a log?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a set number, base b, must be increased in order to create a specific number x, is represented by the logarithm of that number. The logarithm, in its most basic form, counts the number of times the same factor appears when multiplied repeatedly; for instance, since 1000 = 10 x 10 x 10 = 103, its "logarithm base 10" is 3, or log10 (1000) = 3. When there is no possibility of a mistake or when the base is irrelevant, as, in big O notation, the logarithm of x to base b is written as loga (x), logb x, or even without the explicit base, log x.

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Susie started a rock collection. she started with 26 rocks. each month she adds 5 to the collection. which equation can be used to find y, the total number of rocks in susie's collection after x months?

Answers

Answer:

26 + 5x = y

Step-by-step explanation:

hope this helped

have a good day ^^


Which of the following is equal to (2x/5 - 9) +9?

Answers

Answer:

I don't see any answer options, and the equation doesn't look correct.

I'll assume the equation is meant to be:

(2x/5 - 9) = 9, not (2x/5 - 9) +9

Step-by-step explanation:

(2x/5 - 9) = 9

2x/5  = 18

2x  = 90

x = 45

if the modified equation is correct.


Write an explicit formula for an, the nth term of the sequence
6, -12, 24,....

Answers

Answer:

6,12,24,48,96

Step-by-step explanation:

I WILL GIVE BRAINLIEST!! HELP PLEASE NOW!!

A conjecture and the flowchart proof used to prove the conjecture are shown.

Drag an expression or phrase to each box to complete the proof.

Answers

yes thank you very muchGiven: Measure of angle D E G equals 51 degrees. Measure of angle G E F equals 39 degrees. Prove: Triangle D E F is a right triangle. Art: A right angle triangle D E F. Angle D E F is a right angle. Point G is on segment D F, and segment E G is drawn.

Can you please help me with this question I don’t understand it.From DA to the angle BAC

Answers

INFORMATION:

We have the next rhombus

And we must find the measure of

Knowing that DB = 10, BC = 13, and m∠WAD = 25°

STEP BY STEP EXPLANATION:

To find all measures, we need to use properties or the rhombus:

- DA: To find DA we need to know that all sides of the rhombus are equal. So, if BC measures 13, then DA measures 13 too.

- BW: To find BW we need to know that in a rhombus, diagonals bisect each other at right angles. That means, diagonals intersect in the middle. So, if DB = 10, then BW will be half of BD. BW = 10/2 = 5.

- WC: We can find it as one of the legs of the right triangle formed by BW, BC and WC. Where, BC is the hypotenuse.

[tex]\begin{gathered} 13^2=5^2+WC^2 \\ WC=\sqrt{13^2-5^2} \\ WC=12 \end{gathered}[/tex]

So, WC = 12.

- Angle BAC: To find this angle, we need to use that the interior triangles formed in the interior of the rhombus are congruent. So, angle BAC is congruent with the angle DAC. Then, BAC = 25°.

ANSWER:

DA = 13

BW = 5

WC = 12

BAC = 25 degrees

help on the ones you know

Answers

Answer:

2. y = x + 13

Step-by-step explanation:

Your points are: (-4, 9) and (2, 15)

To write an equation of a line from two ordered pairs, you first find the slope (m)

To find the slope, you do y2 - y1 / x2 - x1

(-4 is x1, 9 is y1) (2 is x2, 15 is y2)

Plug in the numbers:

15 - 9 / 2 - (-4) ----------------------> 6/6 ----------> 1, m = 1

The next equation we'll use is y - y1 = m(x - x1)

and slope intercept form is y = mx + b

Pick either ordered pair to plug in the coordinates, but this time I'll use

(2, 15) -----> 2 is x1, 15 is y1

y - 15 = m(x - 2)

Since we already know the slope, m, we can simplify the equation.

y - 15 = 1(x - 2)

Distributive property

y - 15 = x - 2

Add 15 on both sides,

y = x + 13

1. y=(2/3)x-4
slope is rise/run. starting at (0,-4), i counted up 4 to the x-axis then over 6 to the point (6,0). this gives a slope of 4/6, which is then reduced to 2/3. our b in the y=mx+b is found by looking for where the line crosses the y-axis, which is at (0,-4). b is this y value. plugging everything in (m for slope, b for y-intercept) gives y=(2/3)x-4

2. the other commenter did a great job at explaining 2

3. the line with a slope of -3 is steeper
start this problem by solving for y in the equation given. -5x+2y=8 becomes 2y=5x+8, then y=(5/2)x+4. all we need from this is the slope 5/2 to compare to -3. a steeper slope is given by the larger absolute value. |5/2| is 5/2, and |-3| is 3. 5/2<3, so the line with the slope -3 is steeper.

4a. the lines are neither perpendicular or parallel.
the slopes are different, so they cannot be parallel. the slope of the first equation and second equation (-4 and 4) are not inverse reciprocals of each other, so they cannot be perpendicular.

4b. the lines are parallel.
to find the answer of this question, solve for y in the first equation. 5x+15y=-8 becomes 15y=-5x-8, then y=-(1/3)x-(8/15). the slopes of the lines are both -1/3 with different y-intercepts, so the lines are parallel.

5. y=(1/3)x-(14/3)
use point-slope form and simplify. plugging into point slope gives us y+2=m(x-8). m is found by taking the inverse reciprocal of the equation given to us. the inverse reciprocal of -3 is 1/3, so m=1/3. the equation is y+2=(1/3)(x-8). distribute to get y+2=(1/3)x-(8/3). solve for y. y=(1/3)x-(8/3)-2. y=(1/3)x-(8/3)-(6/3). y=(1/3)x-(14/3)

Which postulate could we use to prove that the angles

Answers

The angle postulate that best defined angles CAB and CAD is; Supplementary Angles

What is the Angle Postulate?

We know that there are different angle postulates such as Corresponding angles, complementary angles, supplementary angles and others.

Now, in this case we want to find the angle theorem that best describes angles CAB and CAD. Now, from the given image, it is clear that both angles form a straight line and we know that the sum of angles on a straight line equals 180 degrees.

Since both angles sum up to 180 degrees and we know that these angles are defined as supplementary angles which are linear pairs.

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Can someone help me find the slope???

Answers

Answer:

The slope is -1/3.

Step-by-step explanation:

When you count the rise/run, which is how much it goes up/down and left/right, you get -4/12. Simplify -4/12 and you'll get -1/3.

jane had overdrafted her bank account and had a balance of -$24.62. She picked up her paycheck from work and deposited $154.88. What is her new balance?
answer for 100 points

Answers

Your answer would be 179.5

the third term in the sequence is 11
the term-to-term rule is "take away 4"
write an expression on in terms of n for the nth term of the sequence

Answers

An expression, in terms of n, for the nth term of this arithmetic sequence is aₙ = 23 - 4n.

What is an arithmetic sequence?

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ = a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

For the second term, we have:

a₂ = a₃ - d

a₂ = 11 - (-4)

a₂ = 11 + 4

a₂ = 15.

For the first term, we have:

a₁ = 4 + second term

a₁ = 4 + 15

a₁ = 19

Substituting the given parameters into the formula, we have;

aₙ = a₁ + (n - 1)d

aₙ = 19 + (n - 1)(-4)

aₙ = 19 - 4n + 4

aₙ = 23 - 4n

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HELLLP khan academy !! due tonight

Answers

Equation of the line is y = -(1/3)x+5

The figure shows a straight line of which two points and thereby the slope can be found out.

Equation of a line is in the slope-intercept form is,

y = mx +c,

where m is the slope of the line and c is the y-intercept of the line.

From the figure, two points on the line are, (0,5) and (3,4).

Then slope = (4-5)/(3-0)

                  = -1/3

Now y-intercept, c is the y-co-ordinate when x = 0.

From the figure, when x = 0, y = 5

So y-intercept, c = 5.

Thus the equation of the line is, y = -(1/3)x+5

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Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x-3y=15

Answers

Answer: y=2x-5

Step-by-step explanation:

6x-3y=15

6x-6x-3y=-6x+15

-3y=-6x+15

-(3y=6x-15)

3y=6x-15

3y/3=(6x-15)/3

y=6x/3-15/3

y=2x-5

use the properties of vector addition and scalar multiplication from the following theorem. properties of vector addition and scalar multiplication in rn let u, v, and w be vectors in rn, and let c and d be scalars.

Answers

The set R^2  with x ≤ 0 and y ≤ 0 is not a vector space.

The 10th axiom  cv∈ V does not hold

Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:

1. u+ v ∈V

2. v + w = w + v

3. (u + v) + w = u + (v + w)

4. v + 0 = v = 0 + v

5. v + (−v) = 0

6. 1v = v

7. c(dv) = (cd)v

8. c(v + w) = cv + cw

9. (c + d)v = cv + dv

10. c v ∈V

Given the set of all vectors x, y in R^2  with x ≤ 0 and y ≤ 0

If the scalar c is such that  c<0 then c v ∉R^2as cv>0

Therefore, the 10th axiom is not satisfied and thus the set  R^2 with x ≤ 0 and y ≤ 0 is not a vector space.

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What is an equation of the line that passes through the point (2,-3) and is parallel to the line 2x+5y=10

Answers

The equation of the line that passes through the point (2,-3) and is parallel to the line 2x + 5y = 10 is y = - 2 / 5 x - 11 / 5

How to find the equation of a line?

The equation of a line can be represented in various form such as point slope form, slope intercept form and standard form.

Therefore, let's find the equation of the line that passes through the point (2, -3) and is parallel to the line 2x + 5y = 10.

Hence, parallel lines have the same slope.

5y = -2x + 10

y = - 2 / 5 x + 2

Therefore, the slope of the line is - 2 / 5.

Let's find the y-intercept using the slope intercept equation.

y = mx + b

where

m = slopeb = y-intercept

Hence, (2, -3)

-3 = - 2 / 5(2) + b

-3 = - 4 / 5 + b

b = - 3 + 4  /5

b = - 11 /  5

Therefore, the equation of the line is y = - 2 / 5 x - 11 / 5

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The required equation of the line y = - (2/5)x - 11/5 passes through the point (2,-3) and is parallel to the line 2x + 5y = 10.

We have to determine the line that passes through the point (2,-3) and is parallel to the line 2x+5y=10

Parallel lines are known to have the same slope.

Firstly, we have to find its slope by the given line

⇒ 5y = -2x + 10

⇒ y = - (2/5)x + 2

Thus, the slope of the line is - 2/5.

Let the required equation of the line is y - y₁ = m(x -x₁ )

Here x₁ = 3, y₁ = 1 and m = -2/5

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

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

y = - (2/5)x - 6/5 +1

y = - (2/5)x - 11/5

Therefore, the required equation of the line is y = - (2/5)x - 11/5.

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13 people on a softball team show up for a game. how many ways are there to choose 10 players to take the field? (you must provide an answer before moving to the next part.)

Answers

858 combinations are there to choose 10 players to take the field.

Pick 10 people from 13,

[tex]C^{13} _{10}[/tex] = [tex](^{13} _{2} )[/tex]

Splitting the combination,

[tex]C^{13} _{10}[/tex] = (13 × 12 × 11) ÷ 2

[tex]C^{13} _{10}[/tex] = 1716 ÷ 2

[tex]C^{13} _{10}[/tex] = 858 ways to pick the 10 to play.

There are 858 different methods to select 10 players to take the pitch.

The permutations of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".

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EFG and GFH are a linear pair, m EFG = 4n+ 15, and mGFH = 2n + 39. What are mEFG and mGFH?
mEFG=
mGFH=

Answers

Answer:

Find value of n first to find out what the angle measures are.

Linear angles have a sum of 180°.

Angle EFG + Angle GFH = 180

4n + 15 + 2n + 39 = 180

6n + 54 = 180

6n = 126

n = 21

Substitute n into the angles.

Angle EFG = 4(21) + 15 = 99°

Angle GFH = 2(21) + 39 = 81°

What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.

Answers

The allocation for product defined and product not defined are

PD(product defined)

PM, QP, LM

PND

ML

This is further explained below.

What is an allocation for product defined?

Generally, the rule for matrix multiplication

no. of columns for the first matrix should be equal to no. of rows in the second matrix" that is if

1st matrix has =m * n

2nd has =k *l

Therefore

m=l

L=2*2,  M=4*2,

The matrix is defined as the row and the column tally

M=4*2 and L=2*2

The matrix is not defined as a row and the column do not tally

In conclusion, Q=2*1, and P=2*2 equal so the product is defined.

P=2 *2,M=4 *2,  equal so product is defined.

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prove that: [tex](a+b)^-^1.(a^-^1 +b^-^1) = (ab)^-^1[/tex] why do you think Hoar referenced the chinese inventing gunpowder,paper,and the compass? Examine graphs A and B. What do you notice about the difference between the Y axis for the good graph A and the Poot graph B? How is a break shown on the Y axis of graph A How many moles are in a gas sample occupying 0.500L at 170 mmHg and 250C?Group of answer choices0.004570.006002.183.483.85 Benefits of Gaming Video games can aid in building brain functions that are important to learning. People who play video games have increased attention spans and visual recognition because they need these abilities while playing in-depth, strategy-based games. Many of these games take long periods of time to play, thus players must stay focused for longer. Developing focus can aid in learning and is an important trait for all people to have. Problem-solving, something vital for success in school and careers, is another skill that can be developed through gaming. Many games, including action and sports games, require players to solve problems quickly in order to be successful. These skills can be developed through continuous playing of video games. The multiple cognitive actions required by video games, such as those required by strategy-based games, help students develop the ability to multi-task. A recent study also suggests that those with dyslexia have improved reading and brain skills with repeated gaming experiences. With all of these benefits, there are still opponents who believe gaming is negative. Opponents believe that some games promote violence and lead to violent emotions. However, if a parent or guardian spends time discussing any violent images or situations from video games with players, these objections can be overcome. The positive benefits of perseverance and patience can become the focus of video games.3Which sentence would be the best conclusion to the essay? A. These benefits are important and overcome the negative parts of gaming. B. So, even the things people say are bad about gaming can be turned into benefits. C. Perseverance, patience, problem solving and focus are things that will help students do better. D. The lessons learned from gaming can be applied not only in school, but in everyday life as well. A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolleda. What is the probability of getting an even number?b. What is the probability of getting a factor of 6? Once a cell completes mitosis, molecular division triggers must be turned off. What happens to mpf during mitosis?. 3x-(2x+10) for x= 7 5/13 I need to write to objective function and the constraints 18.Calcium-49, a radioactive isotope, has a half-life of 9 minutes. If an 80-gram sample of the isotope decays for 27 minutes, how many grams of the original sample remain?Select one:a. 60b. 10c. 40d. 20 How do you think the first transoceanic connectionschanged long-distance trade routes from 1450 to1750? Trace one new trade route on your map andprovide an annotation for why it emerged. Equation fraction X over 9 equals 7 Find the domain and range of the following graph in interval notation. 5+ 4 3 2 1 -5 4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ a Domain: Range: NOTE: If you do not see an endpoint, assume that the graph continues forever in the same direction. Entry example: [2,3) or (-00,5). Enter -oo for negative infinity and oo for infinity. I need help with this for my class True or FalseCorresponding angles must be proportional.O TrueO False Complete the sentence with the appropriate form of ir. (Only write the answer, not the full sentence.)Cundo _______________ a estudiar t para el examen de espaol? All info is in the image. Nominal gdp measures base-year production using base-year prices, whereas real gdp measures current production using current prices. True or false?. Instructions: Determine whether the graph is a correct representation of the given inequality. If there is an error, select which error is present. in the first week of July, a record 1,020 people went to the local swimming pool. In the second week, 100 fewerpeople went to the pool than in the first week. In the third week, 135 more people went to the pool than in the second week.In the fourth week, 137 fewer people went to the pool than in the third week. What is the percent decrease in the number ofpeople who went to the pool over these four weeks?