Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have no clue how to do it. We have to say if it’s similar or not and then, how we know theyre similar, and a similarity statement

7/12 is the value of fraction .  

In math, what is a fraction?

A fraction is a piece of the entire. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Both are integers in a simple fraction.

                    Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

= 2 1/4 - 1 2/3

= 9/4 -  5/3

 =   27 - 20 /12

 = 7/12

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answer:

29

step-by-step explanation:

22 + (96 - 40) / 8

22 + 56 / 8

22 + 7

= 29

Answer:

29

Step-by-step explanation:

Hi,

To solve this, you're going to have to use PEMDAS.

Remember...

P = Parenthesis

E = Exponent

M = Multiplication

D = Division

A = Addition

S = Subtraction

22 + ( 96 - 40) / 8

The first step in PEMDAS, is P, so we have to solve what's in the parenthesis first.

96 - 40 = 56

22 + 56/8

In PEMDAS, division comes before addition, so we have to divide 56/8 before adding it to 22.

56/8 = 7

22 + 7 = 29

Your answer is 29.

I hope this helps :)

100+125+100+2x+140+(3x-45) = 6-2x180

solving one side

100 + 125 + 100 + 140 = 465

__________________

465 + 2x + (3x - 45 ) = 6 - 2x 180

3x + 2x + 465- 45 = 6 - 360x

360x + 3x +2x = -465 + 45 + 6

365x = -414

x= -414/ 365 = -1. 134

___________________

Answer

x= -414/ 365 = -1. 134

Given:

The figure.

To find:

The theorems that proves triangles SRP and QRP are congruent.

Solution:

From the given figure, it is clear that in triangle SRP and QRP,

Hypotenuse of triangles : \(PS=PQ\)             (Given)

Legs of triangles : \(SR=QR\)             (Given)

Since, hypotenuse and one leg of first triangle is equal to the hypotenuse and corresponding leg of another triangle, therefore, both triangles are congruent by HL postulate of congruence.

\(\Delta SRP\cong \Delta QRP\)            (HL postulate of congruence)

Therefore, the correct option is E .

Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - \(\frac{60}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - \(\frac{2^{2} *3*5}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

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Answer:

144° and 36°

Step-by-step explanation:

17x-9 and 4x are same side interior angles. This means that they add to 180°.

17x-9+4x=180

21x-9=180

21x=189

x=9

substitute x back into the original angles and you get

17(9)-9=144

and

4(9)=36

Answer:

Yes and the answer is 16/5

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of 1/6 : 6/1

Now, multiply it with the dividend

8/15 ÷ 1/6 = 8/15 × 6/1

And after that you get 48/15 but after reducing the fraction, the answer is 16/5. ( In mixed form, 3 1/5 )

I hope this helps and I am a middle school student answering this question.

Answer:

Step-by-step explanation:

can you simplify 8/15+1/6

8/15 + 1/6 =

(16 + 5)/30 =

21/30 =

semplify (21:3 and 30:3)

7/10

The sine of 5π/4 is \(\frac{-1}{\sqrt{2} }\) , the cosine of 5π/4 is \(\frac{-1}{\sqrt{2} }\) and the angle lies in the third quadrant.

What is the reference angle?

A reference angle is an acute angle formed between the terminal side of an angle in standard position and the x-axis. In other words, it is the smallest angle that can be formed between the terminal side of the angle and the x-axis.

To find the sine and cosine of 5π/4 using the reference angle, we first need to identify the reference angle.

In this case, 5π/4 is in the third quadrant, which means that the terminal side of the angle passes through the point (-1, -1) on the unit circle.

To find the reference angle, we draw a line from (-1, -1) to the x-axis, which forms a right triangle with sides of length 1, 1, and √2

The reference angle θ is the angle formed between the x-axis and the adjacent side of the triangle. By applying the trigonometric functions to this reference angle, we can find the sine and cosine of 5π/4.

sin(θ) = opposite/hypotenuse = \(\frac{1}{\sqrt{2} }\)

cos(θ) = adjacent/hypotenuse = \(\frac{-1}{\sqrt{2} }\)

Since sine is positive in the third quadrant and cosine is negative, we need to take the negative of the sine value and keep the negative sign for the cosine value:

sin(5π/4) = -sin(θ) = \(\frac{-1}{\sqrt{2} }\)

cos(5π/4) = cos(θ) = \(\frac{-1}{\sqrt{2} }\)

Therefore, the sine of 5π/4 is \(\frac{-1}{\sqrt{2} }\), and the cosine of 5π/4 is \(\frac{-1}{\sqrt{2} }\) .

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Answer:

hmm i think the answer is A. 375m

Answer:   About the building of his bed

Using translation concepts, it is found that the equation that represents this transformation is given by:

A. \(g(x) = (x - 3)^4 - 1\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

\(f(x) = x^4\).

Then:

Hence, the equation that represents the transformation is given by:

\(g(x) = (x - 3)^4 - 1\)

Which means that option A is correct.

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Answer:

x= -2, -10

Step-by-step explanation:

(x+6)^2-16=0

(x+6)(x+6)-16=0

x^2+6x+6x+36-16=0

x^2+12x+20=0

10+2=12

10(2)=20

(x+2)=0

(x+10)=0

x= -2, -10

Answer:

1 to 150! hope that helps :)

The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

Let's find the seconds as an improper fraction:

He ran 100 meters in 48/5 seconds or 9.6 seconds. To find the speed in meters per second we have to divide the distance (in meters) by the time (in seconds):

The average speed is 125/12 m/s (or 10.42 m/s, rounded to the nearest hundredth)

In mixed numbers the speed is 10 5/12 m/s

a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer: firstly lol, Secondly the answer is 60 for each side cuz it’s equal

Step-by-step explanation:

The probability of roll outcome:

1st 2 = 1/6

2nd prime = 1/2, and

3rd more than 4 = 1/3.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

In a fair die, considering the outcomes from the question:

probability of the 1st roll to be 2 = 1/6

probability of 2nd roll to be prime = 3/6

probability of 2nd roll to be prime = 1/2

probability of 3rd roll to be more than 4 = 2/6

probability of 3rd roll to be more than 4 = 1/3

Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.

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Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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From the given table, we can see that the monthly principal and interest payment per $1000 is given at various rates and a different number of years.

First, we need to get the monthly principal and interest payment per $1000 for a 20-year mortgage and an annual percentage rate (APR) of 5.5%.

• From the table, the price amounts to, $6.87887, (simply check 5.5% APR under 20years).

$1000 financed yields $6.87887. This can be expressed as;

• $1000 = $6.87887.................................... 1

Based on the given question, we need to get the monthly principal for the amount of $285,000. This can be expressed as:

• $285,000 = x .............................................. 2

Divide equations 1 and 2 to find the value of "x"

Cross multiply:

Therefore the monthly principal and interest payment is approximately $1,960.4779

Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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Answer:

16 males and 9 females.

Step-by-step explanation:

If you subtract 7 from 25 you get 18. If you split 18 in half you get 9. Which means if you add 7 to 9 you get the number of males, which leaves you with 9 students left so the rest are females.

Answer:

16 males and 9 females

Step-by-step explanation:

To solve this we can use a system of equations.

Let's start by naming the number of females x.

The number of males would then be y.

Using these variables, we can set up 2 equations using info provided:

A french class has a total of 25 students, -> x+y=25

The number of males is 7 more than the number of females -> x+7=y

Use substitution to solve.

From the second equation:

x+7=y

Subtract 7 from both sides.

x=y-7

Substitute that into the first equation.

x+y=25

y-7+y=25

Combine like terms.

2y-7=25

Add 7 to both sides.

2y=32

Divide both sides by 2.

y=16

Substitute y=16 into equation 2.

x+7=y

x+7=16

Subtract 7 from both sides.

x=9

Therefore, there are 16 males and 9 females in the french class.

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

\(0 = - 16 {t}^{2} + (35)t + 204\)

Use Quadratic Formula,

\( - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} \)

A is -16, B is 35 , C is 204.

So we have

\( - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} \)

\( - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} \)

\( - 35± \frac{ \sqrt{3465} }{ - 32} \)

\({35} ± \frac{ \sqrt{3465} }{ - 32} \)

The positve solution is

\(4.83\)

So the answer is 4.83 seconds

Option (a) is the correct one.

By SSS congruence rule the triangle having coordinates (2, 2), (2, -9), (6,2) is congruent to the given triangle as all three sides are equal of both the triangles.

Given, a right angled triangle having base 4 and hypotenuse √137.

Now, we have to find the triangle which is congruent to the given triangle.

So, the height of the given triangle be,

h² = √137² - 4²

h² = 137 - 16

h² = 121

h = √121

h = 11

Now, from the options we can say that,

the triangle having coordinates (2, 2), (2, -9), (6,2) is congruent to the given triangle as all three sides are equal of both the triangles.

Hence, by SSS congruence rule the triangle having coordinates (2, 2), (2, -9), (6,2) is congruent to the given triangle as all three sides are equal of both the triangles.

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Answer:

There would be a 30% chance that you would select a sophomore.

Step-by-step explanation:

Since there is 100 students all together then 30 of the sophomores would be 30% of 100. So the answer is 30%