The triangles are similar. Find the value of x.

Answer:

A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D

Answer: A

Step-by-step explanation: Took the test |

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The quadratic equation that best fits this data would be A.

[tex]y=-56.80x^2+437.91x-65.5[/tex]

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

The given data is follows as;

x y

1 350

2 539

3 678

4 875

5 690

6 502

The quadratic equation that best fits this data

A. [tex]y=-56.80x^2+437.91x-65.5[/tex]

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Answer:

y = -3x - 1

Step-by-step explanation:

Let he equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Slope 'm' of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (-2, 5) and (2, -7) will be,

m = [tex]\frac{-7-5}{2+2}[/tex]

m = -3

Equation of the line will be,

y = -3x + b

Since, this line passes through (-2, 5),

5 = -3(-2) + b

5 = 6 + b

b = 5 - 6

b = -1

Therefore, equation of the line will be,

y = -3x - 1

Answer:

The surface area of a cone is equal to the curved surface area plus the area of the base.

= π r 2 + π L r

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Answer:

$21.60 will be the total if each juice is $3.60

$.60 per juice if the whole pack is $3.60

Step-by-step explanation:

Answer: B: the force on the car is greater than the force on the bug

Step-by-step explanation:

The force on the car is greater because it is travelling at a faster speed.

Answer:

approx. 113.1

Step-by-step explanation:

Area formula: A= pi* (r^2)

12/2 = 6, so r=6

A= pi * (6^2)

A= pi * (36)

A = approx. 113.1

Answer:

A. 0.92t

F. t-0.08t

Step-by-step explanation:

let t be the original acreage

8% decreased from the original acreage = 0.08t

so new acreage = t- 0.08t = 0.92t

or

New acreage = old acreage (1 - discount)

= t ( 1 - 0.08)

= t - 0.08t

Answer:

add 4 to both sides

Step-by-step explanation:

a-4+4=10+4

a=14

Answer:

1,728 inches cubed

Step-by-step explanation:

12 * 16 * 9 = 1,728 inches cubed

Formula for volume: LxWxH

Answer:

Jared has 16 books.

Explanation: Subtract 28 by 12 and you'll get 16.

Answer:

1, 1

Step-by-step explanation:

It is 7x3= 21 then 7x5= 35+2=37 which gets you 371. Next 6x3=18 then 6x5= 30+ 1 which gets you 3,180

Answer:

Step-by-step explanation:

371

and

3180

i hope its correct

Answer:

24

Step-by-step explanation:

20           x

----    =    ----

25          30

Cross Multiply (20, 30 and 25, x)

25x = 600

Divide both sides by 25

x = 24

If 60 percent represents the 48 students , then the total number of student is 80

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Represent the total number of students by x;

therefore, 60/100 × x = 48

= 60x/100 = 48

60x = 4800

divide both sides by 60

x = 4800/60

x= 80

therefore the total number of students in the math fair is 80

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no puedo ver el problema

no puedo ver el problema

Answer:

(x + 5)(x - 7)

Step-by-step explanation:

x² - 2x - 35

Now we need to find two numbers whose product will be 35 and sum or difference will be 2. They are 7 and 5.

7 x 5 =35

7 - 5 = 2

So

= x² + 5x - 7x - 35

Taking x common from 1st two terms and -7 from last two.

= x(x + 5) - 7(x + 5)

Taking (x + 5) common

= ( x + 5)(x - 7)

The trinomial x² - 2x - 35 can be factored into the product of two binomials, (x - 7) and (x + 5).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The trinomial is given in the question, as follows:

x²- 2x - 35

The trinomial x² - 2x - 35 can be factored as (x - 7)(x + 5). To see this, we can find two numbers that multiply to -35 and add up to -2. These numbers are -7 and 5.

To factor the trinomial, we write:

x² - 2x - 35 = (x - 7)(x + 5)

So, the trinomial x² - 2x - 35 can be factored into the product of two binomials, (x - 7) and (x + 5).

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Answer:

1 1/4 or 5/4

Step-by-step explanation:

Answer:

factors are x-3 and x+2

Step-by-step explanation:

If the zeros of the functions are x = 3 and x = -2, hence the factors in terms of x are (x-3) and (x+2)

Get the function

(x-3)(x+2)

= x^2+2x-3x-6

= x^2 - x - 6

Hence the required function is x^2 - x - 6 and the factors are x-3 and x+2

Answer:

28.57142857 %

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

28.57142857 %

Answer:

[tex]28.571429\%[/tex]

Step-by-step explanation:

1) To convert the fraction to a decimal, divide the numerator by the denominator.

[tex]2 \div 7[/tex]

2) Use long division.

[tex]0.285714[/tex]

3) To convert to a percent, multiply the decimal by 100.

[tex]0.285714 \times 100 = 28 .571429[/tex]

4) Add the percent sing.

[tex]28.571429\%[/tex]

Therefor, the answer is 28.571429%.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface Areas and Volumes.

We know that , Volume of the cylinder = πr^2h

here, r = 5 units and h = 6 units,

hence we substitute it,

==> Volume = 3.14*(5)^2*(6)

==> Volume = 3.14*25*6

==> Volume = 471 units^3

Hence the volume of cylinder is 471 cubic units.

Answer:

53 degrees

Step-by-step explanation:

If r is 25 and s is 102, and if there are 180 degrees in a triangle, then you can just add to get 53.

Answer:

53

Step-by-step explanation:

Hello There!

So in this problem they give us two angles of a triangle and want us to find the missing angle

Remember the sum of all of the angles in a triangle is 180

So to find the missing angle we subtract the given angles from 180

180-25-102=53

so we can conclude that the answer is 53

Answer:

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....