If EF = 5x, FG = 10, and EG = 10x, what is EF?
geometry

By solving a system of equations we can conclude that ross has a total of $200 in $5-notes.

Let's define the variables:

We know that there are 15 more $2-notes than $5-notes, then:

y = x + 15

And the total amount of $5-notes is $90 more than the total amount of $2-notes.

x*5 = 90 + y*2

Then we have a system of equations:

y = x + 15

x*5 = 90 + y*2

Replacing the first equation into the second one we get:

x*5 = 90 + (x + 15)*2

Now we can solve this for x:

x*5 = 90  + x*2 + 30

5*x - x*2 = 90 + 30

3*x = 120

x = 120/3 = 40

x = 40

In this way, we conclude that Ross has 40 of the $5-notes, then the total value is:

40*$5 = $200

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Answer: y=3x-6

Step-by-step explanation:

ANSWER:y=1/(3x-6)

Step-by-step explanation:

i think you are asking for the change of subject of formula(Transposition of subjects).

x=1/3y+2

multiply both sides by 3y

x × 3y=1/3y × 3y + 2 × 3y

3xy=1+6y

collect like terms

3xy-6y=1

fractionalize

y(3x-6)=1

divide both sides by (3x-6)

y=1/(3x-6)

please rate as brainliest

Answer:

a(A) = 0

Step-by-step explanation:

If a high school student decides to apply four of six famous colleges, then the four colleges can be selected in as many as 15 different combinations.

As per question statement, a high school student decides to apply four of six famous colleges.

We are required to calculate the number of combinations in which the four colleges can be selected.

To solve this question, we need to know the formula of Combination which goes as [tex](nCr)=\frac{n!}{r!(n-r)!}[/tex]

, i.e., we are to select a set or "r" from a set of "n".

Here, we have to select a combination of 4 from a set of 6.

Therefore applying (nCr) formula with (n = 6) and (r = 4), we get,

[tex](6C4)=\frac{6!}{4!(6-4)!} =\frac{6!}{4!2!}=\frac{4!*5*6}{4!*2}=\frac{5*6}{2}=(5*3)=15[/tex].

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Answer:

B

Step-by-step explanation:

Capitals represents countries as the function

Answer:

121.496

Step-by-step explanation:

Columnar addition

Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.

=============================================================

Explanation:

Let's say the top and bottom sides are 10 inches and (x+2) inches.

If this was a parallelogram, then those opposite sides must be parallel and the same length. So x+2 = 10 which leads to x = 8 after subtracting 2 from both sides.

Now let's consider the other pair of opposite sides (x+5) and (2x-3), which would be the left and right sides. Set them equal to one another and solve for x.

x+5 = 2x-3

x-2x = -3-5

-x = -8

x = 8

We arrive at the same x value, which confirms we do have a parallelogram.

Use this x value to find the unknown sides

x+2 = 8+2 = 10

x+5 = 8+5 = 13

2x-3 = 2(8)-3 = 13

This parallelogram has sides of 10, 13, 10, 13

It might be helpful to think of a 10 by 13 rectangle. However, the parallelogram may or may not be a rectangle.

Answer:

Your answer is n^3 + 4n^2 - 8n - 9

Hope this helps! <3

Answer:

This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that

{\displaystyle z\leq x+y,}z\leq x+y,

with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):

{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,

Step-by-step explanation:

Answer:

by triangular inequality

Step-by-step explanation:

Around 27 of the observations are expected to lie beyond this interval.

Given data values of 10000 observations, 0.27 percent of 10000 is 0.27∗10000100=27. 0.27 ∗ 10000 100 = 27.

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

The numbers in between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all values between 0 and 5 is the set of numbers x satisfying 0 x 5.

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Answer:

practice to do your self

Answer:

A. The expected value of playing the game is 0.25

B. She can expect in the long run to gain 0.25 dollars per draw.

Step-by-step explanation:

On 10 draws with each card drawn once....

Winnings: 2+4+6+8+10=30

Losses: 5(5.50)=27.50

She gains an average of $2.50 in each group of 10 games, or $0.25 per game.

Answer:

The third graph

Step-by-step explanation:

We can immediately eliminate the 1st and last graphs because they are decreasing, not increasing. It wouldn't make sense that the more classrooms there are, the fewer students. Y = 22x would be increasing in the graph.

Let's plug some x values into the equation first, to see where our points are at.

Plug 1 into x

Y = 22(1)

Y= 22

(1,22)

Plug 2 into x

Y = 22(2)

Y = 44

(2,44)

Plug 3 into x

Y = 22(3)

Y = 66

(3,66)

Plug 4 into x

Y = 22(4)

Y = 88

(4,88)

The second graph matches the coordinates, so it works, but it isn't a complete function graph. A function graph needs a line drawn through the points. The second graph isn't your answer.

Let's look at the third graph. The coordinates also match up with the graph and it has a line drawn through the points. It's an accurate function graph representing this scenario. Therefore, the third graph is your answer.

Have a lovely day! :)

Answer: the 2nd graph is what i got right on the test

Step-by-step explanation:

hi

5(x+4) =1/2 *(12)* (2X-6)

5x+20 =  6 * ( 2x-6)

5x+20 = 12x-36

5x-12x = -36-20

-7x =  -56

  x = -56/-7

 x = 8

The equation of a line perpendicular to the line is y = (-1/2)x - 9

Slope of the line perpendicular to y = 2x - 1, m =-1/2;

Therefore, equation of line perpendicular to given line in slope- intercept form is; y = (-1/2) x + c;

This line passes through (-8, -5); therefore;

-5 = (-1/2)(-8) + c;

c = -9;

Therefore, equation of required line is y = (-1/2)x - 9;

Perpendicular lines are two non-vertical lines in the same plane that intersect at a right angle. Horizontal and vertical lines are perpendicular to one other, forming the coordinate plane's axes. Negative reciprocals are the slopes of two perpendicular lines.

Vertical and horizontal lines are parallel to each other. In this scenario, the slope of the perpendicular line is equal to the slope of a horizontal line, which is 0. The slope of the parallel line is 0 while the slope of the perpendicular line is unknown.

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x+5=0 is ans

Step-by-step explanation:

x=-5

therefore,x+5=0

Answer:

22

Step-by-step explanation:

The ratio tells us 2/5 of the swimmers are indoor swimmers.

55(2/5)=22

The solutions to the given equation are x = -1, x = 0 and x = 3

From the question, we are to determine the solution of the given equation.

The given equation is

x³ -2x² -3x = 0

The graph of the function y = x³ -2x² -3x is shown below

The solutions of the equation x³ -2x² -3x = 0 are the values where the graph cuts the x-axis

From the graph, we can observe that

The curve cuts the x-axis at x = -1, x = 0 and x = 3

Hence, the solutions to the given equation are x = -1, x = 0 and x = 3

Testing the solutions

For x = -1

x³ -2x² -3x = 0

(-1)³ -2(-1)² -3(-1) = 0

-1 -2(1) +3 = 0

-1 -2+3 = 0

-3+3 = 0

0 = 0

For x = 0

x³ -2x² -3x = 0

(0)³ -2(0)² -3(0) = 0

0 - 0 - 0 =0

0 = 0

For x = 3

x³ -2x² -3x = 0

(3)³ -2(3)² -3(3) = 0

27 -2(9) - 9 = 0

27 -18 - 9 = 0

0 = 0

Since, all the statements are true, then values are solutions of the equation.

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Answer:

a)9

b)3

c)22

Step-by-step explanation:

(only in 7th so could be wrong)

a

13+7·2

13+14

27

-----------

8-(3+2)

8-3-2

3

----------

27/3

9

------------------------------------------------------------------

b

9+3²

9+9

18

----------

2²+2

4+2

6

--------

18/6

3

-----------------------------------------------------------------------------------

c

(10+2)+(4²-6)

10+2+4²-6

12+16-6

12+10

22

Step-by-step explanation:

There are 3 terms. A term is either a single number or variable or numbers and variables multiplies together

Answer:

Step-by-step explanation:

there are 3 terms

[tex]\frac{12}{2} (x+6)=2x-9[/tex]

[tex]6x+36=2x-9[/tex]

[tex]4x = -45[/tex]

[tex]x = -\frac{45}{4}[/tex]

Hope that I helped you!

(1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7

From the question, we are to determine the factor by which 1.143 × 10¹ is larger than 9 × 10⁻¹

To determine how many times larger the number is, we will divide 1.143 × 10¹ by 9 × 10⁻¹

Carrying out the division operation

(1.143 × 10¹) ÷ (9 × 10⁻¹)

= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)

= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)

= 0.127 × (10¹ ⁻ ⁽⁻¹⁾)

= 0.127 × (10¹ ⁺ ¹)

= 0.127 × (10²)

= 0.127 × 10²

= 12.7

Hence, (1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7

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Answer on Question #54875

–

Math

–

Statistics

and Probability

A normal population has a mean of 0.1 and standard deviation 2.1. Find the probability that the

mean of a sample of size 900 will be negative.

Solution

In accordance with the given problem, we have the following data:

μ

=

0

.

1

,

σ

=

2

.

1

and

n

=

900

. It is known that

푥

~

M

(

μ

,

σ

2

)

and

z

~

N

(

0

,

1

)

John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.

Total number of bills with John = 15

Total money with John = $145

John has a mix of $5, $10 and $20 bills

Let the number of $5 bills be x, $10 bills are y and $20 bills be z

Formulating the equations:

5x + 10y + 20z = 145-------(1)

x + y + z = 15--------(2)

As per the question, the number of ten dollar bills is one less than twice the number of twenty dollar bills:

y = 2z - 1

Putting y = 2z-1 in equating (1) and (2) we get:

5x + 10(2z-1) + 20z = 145

5x + 20z - 10 + 20z = 145

5x + 40z = 155--------(3)

x + y + z = 15

x + 2z - 1 + z = 15

x + 3z = 16--------(4)

Multiplying equation (4) with 5 and using Gaussian Elimination to equate (3) and (4)

5x + 40z = 155

5x + 15z = 80

25z = 75

z = 3

Putting z=3 in (4) we get

x = 7 and y = 5

So, John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.

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In the garage 33.33 percentage of work were MOTS.

Percentage is defined as per-cent, that is out of hundred. The percentage is calculated by dividing the acquired value by the total value and multiplying the result by 100.

Now in the given problem,

Total number of vehicles on which Keith worked is 105.

The number of MOTS among the 105 is 35.

Now we have to calculate the percentage of the MOTS out of a total 105 vehicles.

Let us use the formula=(number of MOTS ÷ total vehicles)×100

Therefore required percentage=[tex]\frac{35}{105}\times 100\%[/tex]

or, percentage=33.333...%

Therefore we can conclude that the total percentage of MOTS were approximately 33.33%(rounded to 2 decimal places).

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Answer:

2-18

2,5

7,18

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

First, we know the total number of students: 135

Then we can see that 22+31+28 students like two flavours: 81

Then we can see how many students like all three flavours: 15

Because the students who like two flavours are counted twice, we need to subtract them once.

Because the students who like three flavours are counted three times, we need to subtract them twice.

So we get 135-81-15*2

135-81-30

24

24 students do not like any of the given flavours

if this was helpful pls give me brainliest <3

Answer: 24 students dislike any of the flavors

Step-by-step explanation:

Soo since you have the diagram without any error it the other question soo at the start of the question they have told that in total there are 135 students.

so at the all the number of students with the different types of flavors then you will get the total amount of students who like 2 kinds of flavors and all three flavors.

31+22+28+15+15= 111 students  (since the students who like three flavors are counted three times, we need to subtract them twice, I add it here to make it easier *15+15*)

so next you should subtract that amount from the total amount of students  who likes multiple flavors in order to get the number of students who dislikes and of the flavors.

135-111= 24 students dislike any of the flavors

I hope this helped you I tried my best... I hope this is understandable and good luck!