How do you simplify (2/3) with a sqrt of 2

Answer:

Step-by-step explanation:

You want to find the number of dimes (x) and the number of quarters (y) in 19 coins that have a total value of $3.55.

Using the given variables, we can write two equations. One is for the number of coins; the other is for their value.

  x + y = 19 . . . . . . . . . . . number of coins

  10x +25y = 355 . . . . . value in cents

It usually works well to solve an equation involving the highest-value coin. That means we want to eliminate the x-variable. Using the first equation, we can write ...

  x = 19 -y

Substituting into the second equation, we get ...

  10(19 -y) +25y = 355

  190 +15y = 355 . . . simplify

  15y = 165 . . . . . . . subtract 190

  y = 11 . . . . . . . . . . divide by 15

  x = 19 -11 = 8

The number of dimes is 8.

The number of quarters is 11.

__

Alternate solution

The average coin value is 355/19 = 18 13/19 cents. The proportion of the highest-value coins is the ratio of the difference between this value and the lowest value, divided by the difference in values.

  proportion of quarters = (18 13/19 -10)/(25 -10) = (8 13/19)/15 = (165/19)/15

  proportion of quarters = 11/19

Multiplying this by the number of coins (19) gives the number of quarters:

  (11/19)×19 = 11 . . . . quarters

You may recognize some similarities to the above solution.

__

Additional comment

Once you understand this generic solution to a mixture problem, you can use it to write down the answer without bothering with variables and equations.

According to the given graph:

A histogram is a data representation that looks like a bar graph that bins a variety of classifications into columns and along the horizontal x-axis. The number count or percentage of occurrences inside this data for each column is represented by the vertical y-axis. Columns can be utilized to display data distribution patterns.

When you're taking continuous measurements and you want to understand the distribution of results and look for outliers, use histograms. These graphs divide your continuous measurements into value ranges known as bins.

Based on these data, the numbers below appear to represent the smallest.:

= Age at graduation (in years) between 45 to 50 years.

Based on these data, the numbers below appear to represent the largest.

= Age at graduation (in years) between 20  to 25 years.

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I understand that the question you are looking for is:

Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.

Frequency 20 30 Age at graduation (in years) 40 50

(a) Which of the statistics below appear to be the smallest based on these data?

(b) Which of the statistics below appear to be the largest based on these data?

Answer:

A.

Step-by-step explanation:

[tex]0.75 > 7/12(0.58)[/tex]

Answer:

A

Step-by-step explanation:

0.58= 7/12 so 0.75 is more then -.8 so that is true.

The equation of a line that is parallel to y = 4x - 7 and goes through the point (4,1) is y = 4x - 15.

Given line: y = 4x - 7

Slope of line m₁ = 4

Two lines are parallel lines when the slopes of the lines are the same.

so, m₁ = m₂

m₂ = 4

Now, the equation of a line with slope 4 and passing through the point (4,1) is:

⇒ y - y₁ = m (x - x₁)

⇒ y - 1 = 4(x - 4)

⇒ y - 1 = 4x -16

⇒ y = 4x - 15

Hence the equation of a line that is parallel to y = 4x - 7 and goes through the point (4,1) is y = 4x - 15.

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The equation of the parabola that has vertex (0, -3) and also passes through the point (-8,5) is y = -1(x - 0)² - 3.

The vertex form of the equation of a parabola is:

y = a(x-h)² + k

where the vertex = (h, k)

The given vertex, (h, k) = (0, -3)

The line passes through the (-8, 5)

x =  -8,  y  =  5

Substitute x = -8, y = 5, h = 0, y = -3 into the equation to solve for a

y = a(x - h)² + k

 5 = a(-8-0)² + (-3)

 5 = a(-8)² - 3

-8a = 5+3

-8a = 8

  a = 8/-8

  a = -1

Substitute a = -1, h = 0, k = -3 into y = a(x - h)² + k

y = -1(x - 0)² - 3

The equation of the parabola that has vertex (0, -3) and also passes through the point (-8,5) is y = -1(x - 0)² - 3

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Answer:

48,485

Step-by-step explanation:

I don't know if that would fit in the box but it wants a rounded form of the answer in a whole number. It was actually 48484.84 and so on, but since we want it in a whole number, I decided to round the .8 since it is above 5 which would round up the answer to 48485. the 4 after the .8 can't do anything besides round down since it isn't higher than 5.

Answer:

28 nickels and 17 dimes

Step-by-step explanation:

A nickel is worth 5 cents and a dime is worth 10 cents

If there are X nickels and Y dimes

Total value = 5X + 10Y cents

$3.10 == 3.10 x 100 = 310 cents

So 5X + 10 Y = 310

Divide both sides by 5 to get

5X/5 + 10Y/5 = 310/5

X + 2Y = 62  (1)

The total number of coins is X + Y and is given to be 45

X + Y = 45    (2)

Subtract Eq(2) from Eq(1) to get

X + 2Y - (X + Y) = 62-45 = 17

X + 2Y - X - Y = 17

Collecting like terms

(X - X) + (2Y - Y) = 17

Y = 17

So number of dimes = 17

To find X, the number of nickels use equation (2)

X + 17 = 45

Subtract 17 from both sides

X + 17 - 17 = 45 - 17

X = 28

So number of nickels = 28

If the measure about an angle is 3pi/4, the sentences are:

The correct option are A , D.

a function of an arc or angle represented most simply in terms of the ratios of pairs of sides of a right-angled triangle (such as the sine, cosine, tangent, cotangent, secant, or cosecant). also known as a circular function.

Trigonometry is used to set directions such as north, south, east, and west; it tells you which direction to go using the compass to get on a straight path. It is used in trace to locate a location. It is also used to determine the distance between the shore and a point in the water.

Investigation trigonometric function:

θ = 3π/4

= 3/4 * 180

= 135

tanθ = sin135/cos135

        = -1

sinθ = sin135 = √2/2

cosθ = cos135 = √2/2

The reference angle for stuff in Q2 is 180 - theta = 180 - 135 = 45 degrees.

If the measure about an angle is 3pi/4, the sentences are:

sinθ = sin135 = √2/2

cosθ = cos135 = √2/2

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I understand that the question you are looking for is:

If the measure of angle 0 is 3pi/4 which statements are true (multiple choice)

A. sin(0)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(0)=sqrt2/2

F. tan(0)=1

The values of JL, EF and KM are -19units, 29 units and 22 units respectively.

13. From the diagram shown, we have;

JL = JK + KL

where;

JK = x + 2

KL = 4x - 16

JL = 6x - 13

Substitute the expressions

6x - 13 =  x + 2 + 4x - 16

collect like terms

x = -1

JL = 6x - 13 = 6(-1) - 13 = -6 -13 = -19 units

14.  EG = 2x + 13

EF = x + 14

FG = 14

2x + 13 = x + 14 + 14

collect like terms

x = 15

EF = 15 + 14 = 29 units

15. KL = 6

LM = 2x

KM = 3x - 2

3x - 2 = 6 + 2x

collect like terms

x = 8

KM = 3x - 2 = 22 units

Thus, the values of JL, EF and KM are -19units, 29 units and 22 units respectively.

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The probability the at least of the people selected from 5 is vaccinated is 0.997.

The binomial distribution is a statistical probability distribution that summarizes the likelihood of a value taking one of two independent values under the specific set of assumptions or assumptions.

Because the five randomly chosen people are independent, the probability that they're all unvaccinated is (0.47)⁵,

The probability that at least one among them 5 has been vaccinated is;

= 1 - (0.47)⁵

= 0.997

Therefore, the probability that at least one of the five people chosen is vaccinated is 0.997.

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Answer:-3x-10y+5

Step-by-step explanation:

7x-2y-10x+5+8y

-3x-2y+5-8y

-3x-10y+5

Answer: P=2L+2w

Step-by-step explanation:

P=perimeter.

P=2L+2w ==> there are two lengths and two widths in a rectangle. That totals to 4 sides in a rectangle.

Hi

T (0) = 800

T(n+1) = T (n) - 16

General formula is  :  T(n) = 800- 16*n  

with "n" the year you are.  

exemple :  if you search value of machine at year 3,  it's value is  :

t(3) =800 -16*3

t(3)= 800 -48

t(3) = 752

The linear equation is

x=33

A linear equation in one variable is defined as an equation with only one variable. The standard form of linear equation in one variable is stated as Ax + B = 0, where A and B can be any two numbers, and x has just one possible value.

36- x=3

x=33

The coefficients can be considered as parameters of the equation, and may be arbitrary expressions, supplied they do no longer incorporate any of the variables. To yield a significant equation, the coefficients required to now not all be 0.

alternatively, a linear equation can be obtained by using equating to zero a linear polynomial over a few area, from which the coefficients are taken.

The answers of such an equation are the values that, whilst substituted for the unknowns, make the equality true.

within the case of just one variable, there may be precisely one solution

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The measures of the angles are x = 40, x = 110 and y = 70

Angles are formed when two or more lines intersect

The figure represents the given parameters

On the figure, we have the following highlights

Angle 3 and angle y are corresponding angles.

Corresponding angles are congruent

So, we have

y = Angle 3

From the figure

Angle 3 = 70

So, we have

y = 70

The angle on a straight line is 180 degrees

So, we have

x + y = 180

This gives

x + 70 = 180

Evaluate the like terms

x = 110

The triangle is an isosceles triangle.

So, we have

y = Angle 2

This means that

Angle 2 = 70

The sum of angles in a triangle is 180

So, we have

z + y + Angle 2 = 180

This gives

z + 70 + 70 = 180

Evaluate

z = 40

Hence, the measures of the angles are x = 40, x = 110 and y = 70

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According to the arrangement, he must pay a late fee of $25 each month.

The inverse of multiplication is division. If three groups of four add up to twelve, twelve divided into three equal groups adds up to four in each group. The basic purpose of splitting is to determine how many equal groups have been formed or how many people are in each group when equitably sharing.

To divide two numbers, use the formula Dividend Divisor = Quotient + Remainder. The dividend seems to be the number being divided in this case. The number that divides the number (dividend) into equally equal parts is known as the divisor.:

Total late fee = $75.

Rent late for 3 months.

Late fee per month= total late fee/ months

= 75/3

= 25.

Late fee per month= $25.

According to the arrangement, he must pay a late fee of $25 each month.

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The solution of the inequality given as 2/3(x - 9) > 8 is x > 21

The inequality is given as

2/3(x - 9) > 8

Multiply both sides by 3/2

So, we have

x - 9 > 12

Add 9 to both sides of the inequality

So, we have

x > 21

Hence, the solution of the inequality given as 2/3(x - 9) > 8 is x > 21

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Answer:

Step-by-step explanation:

The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

We are given that:

2nd term of geometric progression = 1 / 18

5th term = 4 / 243

Now, we can also write it as:

2nd term = a r ( where r is the common ratio and a is the initial term.)

a r = 1 / 18

5th term = a r⁴

a r⁴ = 4 / 243

Now divide 5th term by 2nd term, we get that:

a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )

r³ = 72 / 243

r³ = 8 / 27

r = ∛ (8 / 27)

r = 2 / 3

3rd term = a r²

a r² = a r × r

= 1 / 18 × 2 / 3

3rd term = 1 / 27

Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

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Your question was incomplete. Please refer the content below:

The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term

Answer:

it doesnt make sense because when u add 0's you move the decimal for every 0 added so it would be 450

Step-by-step explanation:

Answer:4

Step-by-step explanation:4(5x+6) = 4[tex]x[/tex]5x=20x   4[tex]x[/tex]6=24

Answer:

The answer is 4.

4 * 5x = 20x

4 * 6 = 24

So the result we get is 20x + 24

In linear equation , 40   is the number of  minutes until they meet again at the  starting line.

What is  linear equation?

Juan walks  1/8  of a lap in one  minute

joe walks 1/10 of a  lap in one minute

The LCM of 8 and 10  = 40  = the number of  minutes until they meet again at the  starting line

In that time  Juan   walks  (1/8) * 40    = 5 laps

And Juan walks  (1/10)*40   = 4 laps

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For the given value of angle;

∠A = 62°

The complement of ∠A is; 90 - ∠A

complement = 90 - 62

complement = 28°

Now, for supplementary angle:

For the given: ∠A = 62°

supplementary = 180 - 62

supplementary = 118°

Thus, the complement and supplement are obtained as 28° and 118°.

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Answer:If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Choose the correct answer below. A. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking, which is an estimate. Check to see if solving each of the new equations gives values of x  that are close to each other. If they are too far from each other, you may need to reexamine the table and graph. B. Input the answer into each expression and simplify. Check to see if the result gives exactly the same number on each side. If the numbers are not exactly equal, you may need to reexamine the table and graph. C. Input the answer into each expression and simplify. Check to see if the result, which is an estimate, gives numbers on each side which are close to each other. If they are too far from each other, you may need to reexamine the table and graph. D. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking. Check to see if solving each of the new equations gives exactly the same values of x . If they are not equal, you may need to reexamine the table and graph.

Step-by-step explanation:

Based on the given expression, the parameters are:

This is a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols, that is substituting one thing for another.

Given expression: 65 + 0.60g

From the expression:

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Answer:

W to the power of 3 =125

And 125 is same as 5 power power 3.

Therefore W = 5.

Answer:

B

Step-by-step explanation:

None of the provided options are irrational. Irrational numbers are those which cannot be expressed as the ratio of two integers. In other words, if represented in decimal form, they would continue indefinitely after the decimal point, such as the value of π. This also means, by definition, they cannot be both irrational and an integer.

They are all real numbers as they can represent a distance along a line (they could all be plotted on a number line or graph, for instance).

Only 0 and 4 out of the provided options are integers (whole numbers). As mentioned above, all integers are rational by definition.