2x-2(4x-3)=6-6x. What is the answer?

The side lengths of the real object will be 50 inches and 60 inches.

The scale factor is the ratio of the actual size of the image to the new size of the image. It is used to Map the objects like if you want to increase or decrease the size without changing the original shape of the image it is done by the scale factor.

The given scale factor is 5:1, which means that the dimensions of the scale drawing are 1/5 of the dimensions of the real object.

To find the side lengths of the real object, we can use the ratio of the dimensions in the scale drawing and the real object.

For example, the length of the real object can be found by multiplying the length of the scale drawing by the scale factor:

Real object length = Scale drawing length x Scale factor

Real object length = 10 in x 5

Real object length = 50 in

Similarly, the width of the real object can be found using the same method:

Real object width = Scale drawing width x Scale factor

Real object width = 12 in x 5

Real object width = 60 in

Therefore, the side lengths of the real object are 50 inches and 60 inches.

To know more about scale factors follow

brainly.com/question/2826496

#SPJ9

50

Step-by-step solution:

    0.3x-42=0.1x-32

    -0.1x

    0.2x-42=-32

                   +42

      0.2x=10

               0.2                

        x=50

Answer:

5,000+5,000= 10000

Step-by-step explanation:

Answer:

168 unlimited-ride passes.

Step-by-step explanation:

50x+20y=10680

x+y=282

Multiply.

20(x+y=282)

20x+20y=5640

Subtract.

50x-20x+20y-20y=10680-5640.

30x=5040

x=168

Hope this helps plz hit the crown :D

It's C, I took the test and got it right.

Answer:

Sin theta= a/c

= 5/7.8

= 0.64

= 1

Step-by-step explanation:

Lets find the hypotenuse first by applying Pythagorean theorem.

a^2+b^2=c^2

(6)^2+(5)^2=c^2

36+25=c^2

61=c^2 (FIND SQUARE ROOT)

7.8=c

Sin theta= a/c

= 5/7.8

= 0.64

= 1

Cos theta= b/c

= 6/7.8

Tan theta= a/b

= 5/6

Answer:

Hi there, your answers here are 44% and 33%.

To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.

To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.

Using a system of equations:

a)

The system is:

\(x + y = 58\)

\(y = 2x + 4\)

b)

Robin is 18 years old and Batman is 40 years old.

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

Item a:

Batman's age is 4 more than twice of robins age.

Thus, \(y = 2x + 4\)

Sum of the ages is 58, thus:

\(x + y = 58\)

Then, the system is:

\(x + y = 58\)

\(y = 2x + 4\)

Item b:

Applying the second equation into the first:

\(x + y = 58\)

\(x + 2x + 4 = 58\)

\(3x = 54\)

\(x = \frac{54}{3}\)

\(x = 18\)

Then, for y:

\(y = 2x + 4 = 2(18) + 4 = 36 + 4 = 40\)

Robin is 18 years old and Batman is 40 years old.

A similar problem is given at https://brainly.com/question/24939834

The integration, of ∫4cos²θ·sinθ dθ is cosθ - cos³θ/3 - 4cosθ + c, where c is the constant.

An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.

Given that, an integral, ∫4cos²θ·sinθ dθ,

Integrating w.r.t to θ

We know that,

cos²θ = 1-sin²θ

Putting in integration,

∫4cos²θ·sinθ dθ = ∫4(1-sin²θ)·sinθ dθ,

= 4∫(1-sin²θ)·sinθ dθ

= 4∫(sinθ-sin³θ) dθ

= 4∫sinθ dθ - 4∫sin³θ dθ

= -4cosθ - [-cosθ+cos³θ/3] + c

= cosθ - cos³θ/3 - 4cosθ + c

Hence, the integration, of ∫4cos²θ·sinθ dθ is cosθ - cos³θ/3 - 4cosθ + c, where c is the constant.

Learn more about integration, click;

https://brainly.com/question/18125359

#SPJ1

Refer to the attached image.

Answer:

308m

Step-by-step explanation:

11+22+33+44+55+66+77=308

Answer:

To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

If 152 people attend and tickets for adults cost $3.5 while tickets for children cost 1.5 and total receipts for tbe concert was $380, how many of each went to the concert?



___ adults



___ children ​

Let

x -------> number of adults

y -----> number of children

we have

x+y=152

isolate variable x

x=152-y ------> equation A

3.5x+1.5y=380 ------> equation B

substitute equation A in equation B

3.5(152-y)+1.5y=380

solve for y

532-3.5y+1.5y=380

3.5y-1.5y=532-380

2y=152

y=76

Find the value of x

x=152-y

x=152-76

x=76

therefore

As shown in the graph above, the point G is in the interior of the right angled triangle. Angle ABG measures (x^2 + 3x) while angle CBG measures 40x.

Angles ABG and CBG add up to 90 and that gives you;

Knowing that we are dealing with a positive angle measure, we shall take x = 2 (and not x = -45)

Therefore, x = 2, and angle ABG measures

Also angle CBG measures;

Answer:

Its C

Step-by-step explanation:

Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of \(\frac{15}{32} ,\frac{7}{31}\) In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

\(-\frac{15*31}{32*31} +\frac{7*32}{31*32}\)

3) Simplify. Denominators are now the same.

\(-\frac{465}{992} +\frac{224}{992}\)

4) Join the denominators.

\(\frac{-465+224}{992}\)

5) Simplify

\(-\frac{241}{992}\)

Decimal Form: -0.242944

Answer:

D

Step-by-step explanation:

from what I could tell, it sounds like D would be correct

The measure of angle A in a right triangle with base 5 cm and hypotenuse 10 cm is approximately 38.21 degrees.

We can use the inverse cosine function (cos⁻¹) to find the measure of angle A, using the cosine rule for triangles.

According to the cosine rule, we have:

cos(A) = (b² + c² - a²) / (2bc)

where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively. In this case, we have b = 5 cm and c = 10 cm (the hypotenuse), and we need to find A.

Applying the cosine rule, we get:

cos(A) = (5² + 10² - a²) / (2 * 5 * 10)

cos(A) = (25 + 100 - a²) / 100

cos(A) = (125 - a²) / 100

To solve for A, we need to take the inverse cosine of both sides:

A = cos⁻¹((125 - a²) / 100)

Since this is a right triangle, we know that A must be acute, meaning it is less than 90 degrees. Therefore, we can conclude that A is the smaller of the two acute angles opposite the shorter leg of the triangle.

Using the Pythagorean theorem, we can find the length of the missing side at

a² = c² - b² = 10² - 5² = 75

a = √75 = 5√3

Substituting this into the formula for A, we get:

A = cos⁻¹((125 - (5√3)²) / 100) ≈ 38.21 degrees

Therefore, the measure of angle A is approximately 38.21 degrees.

Learn more about cosine rule here:

brainly.com/question/30918098

#SPJ1

Answer: 390 Km

Step-by-step explanation: Use the Pythagorean Theorem to solve this problem. We know that it is going north and west, forming a triangle. It says a straight line so we know it is the hypotenuse. 360^2 + 150^2 = x^2. X is 390.

Answer:

C =(x-3)(x-2)/x

or

x²-5x+6/x

Step-by-step explanation:

2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x

Factorizing the given factors

1) 2x^2 - 4x - 6

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

= 2x(x-3) +2(x-3)

= (x-3)(2x+2)

2) x^2 - 4

= (x+2) (x-2)

3) 2x^2 + 2x

= 2x( x+1)

Putting the factors

(x-3)(2x+2)/x + 2   *  (x+2) (x-2)/2x( x+1)

= (x-3)(2x+2) (x-2)/2x( x+1)

= 2(x-3)(x+1) (x-2)/2x( x+1)

=(x-3)(x-2)/x

Now multiply

(x-3)(x-2) =x²-5x+6

Then the answer becomes  x²-5x+6/x

The economic and political doctrine that emphasizes free trade and the constitutional guarantee of individual rights, such as freedom of speech and religion, is called liberalism.

Liberalism is a political and economic ideology that promotes individual freedom, limited government intervention, and free market principles. It emphasizes the importance of protecting individual rights, including civil liberties such as freedom of speech, religion, and assembly. Liberalism advocates for a system of governance that ensures equality under the law and encourages free trade and open markets. Economic liberalism promotes free trade and opposes government restrictions or regulations on business and commerce. It supports the idea of a market economy where prices are determined by supply and demand and individuals have the freedom to engage in economic activities. In the context of politics, liberalism advocates for democratic principles, constitutionalism, and the protection of individual rights as essential components of a just and prosperous society.

Learn more about Liberalism here:

https://brainly.com/question/31428681

#SPJ11

Answer:

945678

Step-by-step explanation:

i took the test

Answer: 10

Step-by-step explanation:

6-5 = 1

-2 x 1 = -2

-2 x -5 = 10

Answer:

y= 1,500 + 0.1x

Step-by-step explanation:

Earnings = $1,500 + Sales * 10%

Let earnings = y and sales = x

Answer:

y=0.1 x +1,500

Step-by-step explanation:

Correct Plato answer-Equations of a Line

Answer:

$2800

Step-by-step explanation:

The amount given every 7 years divided by the percent rate

84 / 3% = x

3% -> .03

84 / .03 = 2800

Answer:

$133.56

Step-by-step explanation:

Multiply 180 and .3 and then subtract that number with 180

you should then get 126

multiply 126 by .06 you should get 7.56

Finally add 126 and 7.56 you should get your final price of 133.56

The value of x on solving the inequality 3/5x + 1/3 < 4/5x - 1/3 is x > 10 / 3.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

3/5x + 1/3 < 4/5x - 1/3

Solve the above inequality as shown below,

Take the variable on the left side and the constant on the right side,

3 / 5x  - 4 / 5x <  - 1/3 -1/3

-1 / 5x < -2 / 3

Multiply both sides by -1,

-1 × -1 / 5 x < -2 / 3 × (-1)

1 / 5 x > 2 / 3  (Inequality sign changes as multiplied by negative terms)

x > 2 / 3 × 5

x > 10 / 3

To know more about inequality:

https://brainly.com/question/2038369

#SPJ1

Answer:

yes 24

Step-by-step explanation:

Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle