How to solve 17=x+9 what is x

Answer:

Option A [tex]\frac{4}{15\\}[/tex]

Step-by-step explanation:

4 infants + 11 toddlers = 15 children

4 infants / 15 children = [tex]\frac{4}{15}[/tex]

Answer:

The answer is B, or the second option: The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction..

Step-by-step explanation:

Answer:

the number 1.46

Step-by-step explanation:

because 5×100×1.46=730

The time taken by car to pass the truck is 1.125 hours

Solution:

A truck enters a highway driving 60 miles per hour a car

The car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway

Let us first convert 9 minutes to hours

[tex]1 \text{ minute } = \frac{1}{60} \text{ hour }[/tex]

[tex]9 \text{ minute } = \frac{9}{60} = \frac{3}{20} \text{ hours }[/tex]

Let the truck covers 'x' m distance in time 't' hour the car will take [t -(3/20)] hour to cover the same distance 'x'

We know that,

[tex]Distance = Speed \times Time[/tex]

For truck : [tex]x = 60t[/tex] ----------- eqn 1

For car: [tex]x = 68 \times (t - \frac{3}{20})[/tex] ------------ eqn 2

From equations (i) and (ii)

[tex]60t = 68 \times(t-\frac{3}{20})\\\\60t = 68t-10.2\\\\68t - 60t = 10.2\\\\8t = 10.2\\\\t = 1.275[/tex]

Thus the time taken by car to pass the truck is:[tex]t - \frac{3}{20} = 1.275 - \frac{3}{20} = 1.275 - 0.15 = 1.125[/tex]

Thus the time taken by car to pass the truck is 1.125 hours

Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.

Step-by-step explanation:

Given,

Quantity of nuts to share = 1/3 cups of nuts

As Dion will share this with his brother, it means,

1 share of Dion, 1 share of his brother = 2 shares

We will divide the quantity of nuts with 2.

Share of each person = [tex]\frac{1}{3}*\frac{1}{2}[/tex]

Share of each person = [tex]\frac{1}{6}[/tex] cups of nuts

Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.

Keywords: fraction, division

Learn more about division at:

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Answer: 6=1/6(9)

Step-by-step explanation:

Answer

Step-by-step explanation:

Let Vidya's height be x

2x - 50

Answer:

A. The diagonals bisect each other.

Answer:

Diagonals bisect each other

Step-by-step explanation:

the answer is 22464, because if they marched 1872 yard for the first side, you can multiply it by 3 because there are 3 feet in one yard. Then you multiply that by 4 because there are 4 sides in a square

Answer: -1 and +6

Step-by-step explanation:

Given :

[tex]x^{2}[/tex] = 5x + 6

re - writing the equation , we have

[tex]x^{2}[/tex] - 5x - 6 = 0

We will look for two factors that when multiplied will give -6[tex]x^{2}[/tex] and when added will give -5. The factors are +x and -6x

Then the equation becomes :

[tex]x^{2}[/tex] -6x + x - 6 = 0

factorizing , we have

x (x-6)+1(x-6) = 0

(x-6)(x+1) = 0

Therefore :

x - 6 = 0 or x + 1 = 0

Therefore :

x = 6 or x = -1

Therefore : the rots of the equation are -1 and +6

Answer:

25 times

Step-by-step explanation:

125÷5 = 25

5 goes into 125 exactly 25 times. This result is obtained by dividing 125 by 5. The answer is 25.

To determine how many times the number 5 goes into 125, we need to perform division:

This means if you divide 125 by 5, the result is 25, showing that 5 fits into 125 exactly 25 times.

The graph of function f(x) that crosses the y-axis at (0, 4) and the x-axis at (4, 0) is a straight line with a negative slope, making option a correct.

Considering the information given, the graph of the function f(x) intersects the y-axis at (0, 4) and the x-axis at (4, 0). By determining the slope of the line, which is the change in y divided by the change in x (rac{ ext{rise}}{ ext{run}}), we can conclude that the slope is negative because the line goes down as it goes right.

The slope is  rac{0 - 4}{4 - 0} = -1.

Therefore, option a, stating it is a straight line with a negative slope, correctly describes the graph of function f(x).

The percentage increase in Angie's height is 3 %

Solution:

Given that, In one year, Angie's height went from 58 to 60 inches

To find: percentage increase

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

The percent increase is given as:

[tex]\text { percent increase }=\frac{\text { final value - initial value}}{\text { initial value }} \times 100[/tex]

Here in this problem,

Initial value = 58 inches

Final value = 60 inches

Substituting the values we get,

[tex]percent\ Increase = \frac{60-58}{58} \times 100\\\\percent\ Increase = \frac{2}{58} \times 100\\\\percent\ Increase = 0.0344 \times 100\\\\percent\ Increase = 3.45 \approx 3[/tex]

Thus percentage increase in Angie's height is 3 %

Answer:

x < 6

Step-by-step explanation:

treat it as a normal equation

Answer:

The math notation to the given sequence is  [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true

Step-by-step explanation:

Given sequence is 1,-1,1,-1,...

Let [tex]a_1=-1,a_2=1,a_3=-1,a_4=-1,...[/tex]

To find the math notation for the given sequence :

[tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... verify that it is true or not

Put n=1 in the above equation we get

[tex]a_1=(-1)^{1+1}[/tex]

[tex]=(-1)^2[/tex]

Therefore [tex]a_1=1[/tex]

Put n=2 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get

[tex]a_2=(-1)^{2+1}[/tex]

[tex]=(-1)^3[/tex]

Therefore [tex]a_2=-1[/tex]

Put n=3 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get

[tex]a_3=(-1)^{3+1}[/tex]

[tex]=(-1)^4[/tex]

Therefore [tex]a_3=1[/tex]

and so on

Therefore the math notation to the given sequence is  [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true

Answer:

x+y=6

Step-by-step explanation:

The standard form equation is ax+by=c.

Answer: $ 400

Step-by-step explanation:

Amount collected for new library = $ 3,200 and there are 8 classes and they collected the same amount. This means that each class will collect

3200/ 8 = $400

Answer:

c

Step-by-step explanation:

c

Answer: x=-2+1/3

Step-by-step explanation:

We move all terms to the left:

2x-10-(5x-3)=0

We get rid of parentheses

2x-5x+3-10=0

We add all the numbers together, and all the variables

-3x-7=0

We move all terms containing x to the left, all other terms to the right

Figures that can also be classified as a parallelogram include a square, rhombus, and rectangle due to their properties of having parallel opposite sides and specific angle characteristics.

Among the given figures, the ones that can also be classified as a parallelogram are square, rhombus, and rectangle. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. A square is a parallelogram with all sides equal in length and all angles equal to 90 degrees.

A rhombus is a parallelogram with all four sides of equal length; moreover, the diagonals of a rhombus are always perpendicular to each other due to the properties of the scalar product of vectors.

A rectangle is a parallelogram with opposite sides equal and all angles equal to 90 degrees. A trapezoid, right triangle, and pentagon do not fit the definition of a parallelogram because they do not have both pairs of opposite sides that are parallel.

Answer:

140 ounces of water and 105 ounces of 35% salt solution.

Explanation:

Let [tex]x[/tex] be the ounces of water that need to be added and [tex]y[/tex] be the ounces of 35% solution that need to to be added.

We know that the total of ounces of water and of 35% solution must be 245 ounces:

[tex]x+y=245[/tex]

35% of  [tex]x[/tex] is the salt, and since no salt is added with addition of [tex]y[/tex]  liters of water, this must be equal to the amount of salt in the final 15% solution:

[tex]0.35x=0.15*245[/tex]

we solve for  [tex]x[/tex] and get:

[tex]x=105[/tex]

We put this value into [tex]x+y=245[/tex] and solve for [tex]y[/tex] to get:

[tex]y=140[/tex]

Thus we have 140 ounces of water and 105 ounces of 35% solution.

To obtain a 245-ounce mixture at 15% salt concentration, the scientist needs to mix 140 ounces of water with 105 ounces of 35% salt solution by solving a system of equations that involves the total mass of the solution and the mass of the salt in the mixture.

The student is asking for help with a mixing solution problem in algebra where they need to combine water with a 35% salt solution to create a final mixture that has a 15% salt concentration. To solve this problem, two key equations must be set up based on the mixture's total mass and the mass of the salt within the mixture. The student wants 245 ounces of the final mixture.

Let's denote X as the number of ounces of water (0% salt) and Y as the number of ounces of the 35% salt solution. The first equation is based on the total mass of the final solution: X + Y = 245. The second equation is based on the mass of the salt in the solution: 0*X + 0.35*Y = 0.15*245.

Now, we solve the system of equations. The second equation simplifies to 0.35Y = 36.75. Dividing both sides by 0.35 gives Y = 105 ounces. Substituting Y into the first equation gives X = 140 ounces. Therefore, the scientist needs to mix 140 ounces of water with 105 ounces of the 35% salt solution to achieve the desired concentration.

The total would be 170 for it all.

Answer:

Step-by-step explanation:

50 + 100 - 2(20) =

150 - 40 =

$ 110 <===

Answer:

8% or 80%

Step-by-step explanation:

$13.00 - $5.00 = $8.00

Answer:

D) 25x^2-1

Step-by-step explanation:

(5x+1)(5x-1)

25x^2+5x-5x-1

25x^2-1

Let n = number of players

Drawing out each scenario is optional, but it helps visualize what is going on.

Let's play out scenarios for n = 2 through n = 12 to see what the pattern might be.

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

n = 2 players

Seat #1 eliminates seat #2

Winner = seat #1

This is fairly trivial and boring as there is only one round and one elimination.

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

n = 3 players

Seat #1 eliminates seat #2

Seat #3 eliminates seat #1

Winner = seat #3

Like with n = 2, this game is over in one round. For n = 4 and greater, we'll start to see multiple rounds.

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

n = 4 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

End of Round 1

Seats remaining = {seat #1, seat #3}

Start of Round 2

Seat #1 eliminates seat #3

End of Round 2

Winner = seat #1

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

n = 5 players

Start of Round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #1

End of Round 1.

Seats remaining = {seat #3, seat #5}

Start of Round 2.

Seat #3 eliminates seat #5

End of Round 2

Winner = seat #3

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

n = 6

Start of round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5}

Start of round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #1

End of Round 2

Winner = seat #5

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

Up next is n = 7 players

Start of round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7}

Start of round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #3

End of Round 2

Winner = seat #7

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

n = 8 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7}

Start of round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

End of Round 2

Seats remaining = {seat #1, seat #5}

Start of Round 3

Seat #1 eliminates seat #5

End of Round 3

Winner = seat #1

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

n = 9 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7, seat #9}

Start of round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #9

End of Round 2

Seats remaining = {seat #3, seat #7}

Start of Round 3

Seat #3 eliminates seat #7

End of Round 3

Winner = seat #3

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

n = 10 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9}

Start of Round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

Seat #9 eliminates seat #1

End of Round 2

Seats remaining = {seat #5, seat #9}

Start of Round 3

seat #5 eliminates seat #9

End of Round 3

Winner = seat #5

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

n = 11 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

Seat #11 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7, seat #9, seat #11}

Start of Round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #9

Seat #11 eliminates seat #3

End of Round 2

Seats remaining = {seat #7, seat #11}

Start of Round 3

Seat #7 eliminates seat #11

End of Round 3

Winner = seat #7

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

n = 12 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

Seat #11 eliminates seat #12

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9, seat #11}

Start of Round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

Seat #9 eliminates seat #11

End of Round 2

Seats remaining = {seat #1, seat #5, seat #9}

Start of Round 3

Seat #1 eliminates seat #5

Seat #9 eliminates seat #1

End of Round 3

Winner = seat #9

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

Admittedly this is a lot of things to keep track of and it's easy to get lost. Hopefully the process is fairly straight forward even if it requires a lot of drawings.

Each pattern block is color coded to separate the start and stop of each sequence. Note the pattern of {1,3} then {1,3,5} then {1,3,5,7} then {1,3,5,7,9} and so on. The next pattern block would likely be {1,3,5,7,9,11}. This table will help you determine what seat you will want to sit in if you know how many players there are at the start. Of course you won't know ahead of time how many players there are, but when it comes to you picking your seat you can quickly look at the table (either on the paper or just something you memorize) and you can select the ideal seat based on what n is.

Answer:

108 ft

Step-by-step explanation:

18x2=36

36+36+18+18=108

Perimeter is the total added amount that surrounds the shape.

The length of the dog pen is twice the width, hence 36 feet. Using the formula for perimeter of a rectangle, the total perimeter of the pen is 108 feet.

To calculate the perimeter of a rectangle, we use the formula 2(length + width). Given the width of the dog pen is 18 feet, and the length is twice the width, we first calculate the length: 2 * 18 feet = 36 feet. With that, we can now calculate the perimeter: 2(18 feet + 36 feet) = 2 * 54 feet = 108 feet. Therefore, the total perimeter of the dog pen is 108 feet.

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Answer: im not sure how you typed this but if its 1.2 x 3 then its 3.6

Step-by-step explanation:

Answer: 1 bathroom 44/62=71%     2 bathrooms 18/62=29%

Step-by-step explanation:

Answer:

Of the apartments, about 71% have 1 bathroom  and about 29% have 2 bathrooms.

Step-by-step explanation: i took the test it was right :)

Answer:

28%

Step-by-step explanation:

Hiya

Make sure you know the Order of Operations, or PEMDAS.

PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

When simplifying, you need to do it in this order. However, with multiplication and division, you do it whichever comes first. If it's 24 times 3 divided by 4, you do multiplication first because it came first in the problem. Then you divide by 4.

The same thing with addition and subtraction. For example, 2 + 4 + 8 - 11, you need to add 2+4+8 first because addition came first before subtraction.

If you don't understand feel free to reply with questions about it.

ALSO: If numbers are written together like (-2)(3), this means they are being multiplied.

Okay so let's solve this equation now.

Looking at PEMDAS, the first step would be to multiply or divide. Seeing that division comes first, do 24 divided by -2.

24 ÷ -2 = -12 (Remember that positive divided by a negative or the other way around will always result in a negative. Same with multiplying)

Now we have: -12(3)+7

Next step is multiplication so -12*3=-36

Now we have -36 + 7.

Adding a negative is the same as subtracting a positive so you can re-write this as 7- 36. Well, 36 - 7 is 29, so 7 - 36 = -29.

So, the answer is -29

Answer:

you ate 2

Step-by-step explanation:

Answer:

we ate two apple

Step-by-step explanation:

8 divided by 4 (which is the common denominator ) is two

or eight in half is 4 so half of that again is 2