Choose the graph of the linear equation 24x + 64y = 384!
?

pls answer fast

Answer:

1/2 or 0.5

Step-by-step explanation:

6/8 x 4/6 = 24/48

Answer:

1/2

Step-by-step explanation:

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

551 ft

Step-by-step explanation:

i pretty sure thats it sorry if its wrong

Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and the b is your constant term which represents the y-intercept of the line

This linear equation has a slope equal to -4 since it's

the coefficient of the number in front of your variable.

This equation has a y-intercept that is equal to 6 since it's

in the place of the b in the equation y = mx + b.

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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11  2/5 mm³

Hi there !

3  4/5mm³ = (3×5 + 4)/5 = (15 + 4)/5 = 19/5 mm³

19/5 mm³ ............. 1/3 box

x mm³ .......................1 box

x = 19/5×1 : 1/3

= 19/5 × 3/1

= 19×3/5

= 57/5

= 11  2/5 mm³

Good luck !

The value of x is 3 and the AB = 10, BD = 14, and CE = 17 if the points A, B, C, D, and E are collinear.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Points A, B, C, D, and E are collinear.

If AC = 16

From the line graph:

x + 7 + 2x = 16

3x = 16 - 7

3x = 9

x = 9/3 = 3

AB = x + 7

AB = 3 + 7

AB = 10

BD = 2x + 3x - 1

BD = 5x - 1

BD = 5(3) - 1

BD = 15 - 1 = 14

CE = 3x - 1 + 2x + 3

CE = 5x + 2

CE = 5(3) + 2 = 15 + 2 = 17

Thus, the value of x is 3 and the AB = 10, BD = 14, and CE = 17 if the points A, B, C, D, and E are collinear.

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Answer:

x = - 1

Step-by-step explanation:

2x + 4 = x + 3

Subtract x on both sides,

2x - x + 4 = x - x + 3

x + 4 = 3

Subtract 4 on both sides,

x + 4 - 4 = 3 - 4

x = - 1

Answer:

16cm^2

Step-by-step explanation:

8*4=32

Because it is a triangle, divide by 2. So:

32/2=16cm^2

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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Answer:

f(x) has a slope of -1 and has a range of all real numbers.

Step-by-step explanation:

A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:

x-Intercept

\(0 = - x-24\)

\(x = -24\)

f(x) has a x-intercept of (-24,0).

y-Intercept

\(f(x) = 0 - 24\)

\(f(x) = -24\)

f(x) has a y-intercept of (0, -24).

Lastly, the linear function has a slope of -1.

Answer:

D AND E

Step-by-step explanation:

edu I took it

Therefore, if Josh attends 1 group class per month, both membership plans will cost him a total of $37 per month.

In mathematics, the first 10 integers are referred to as the fundamental numbers. From 0 to 9, these foundational numbers are listed. The 0 to 9 range of basic integers includes 0 through 1, 2, 3, 4, 5, 6, 7 and 8.

Let's start by defining some variables. Let:

We can write the equations for the total cost of each plan as:

T1 = 35 + 2x

T2 = 34 + 3x

Since we know that the two plans end up costing the same total amount when Josh attends a certain number of classes in a month, we can set T1 equal to T2 and solve for x:

35 + 2x = 34 + 3x

35 = 34 + x

1 = x

So if Josh attends 1 group class per month, the two membership plans will cost the same total amount. Let's substitute x = 1 into our equations for T1 and T2 to find out what that total amount is:

T1 = 35 + 2(1) = 37

T2 = 34 + 3(1) = 37

Therefore, if Josh attends 1 group class per month, both membership plans will cost him a total of $37 per month.

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The third side of the triangle is 8  

Pythagoras' theorem is a fundamental principle in geometry that describes the relationship between the sides of a right triangle.

It states that: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Here we have

A right-angled triangle

From the figure

The sides of the triangle are 7 and √15  

As we know from Pythagoras' theorem

=> Hypotenuse² = side² + side²    

Substitute the above values in the condition

=> Hypotenuse² = (7)² + (√15)²    

=> Hypotenuse² = 49 + 15

=> Hypotenuse² = 64

=> Hypotenuse = 8  

Therefore,

The third side of the triangle is 8  

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Complete Question is given picture

Answer:

21 : 8

Step-by-step explanation:

A:B=3:4

A/B = 3/4

A = 3/4 B..... (1)

B:C =7:2

B/C = 7/2

B = 7/2 C.... (2)

From equations (1) & (2)

\(A = \frac{3}{4} \times \frac{7}{2} C \\ \\ A = \frac{21}{8} \\ \\ \frac{A}{C} = \frac{21}{8} \\ \\ A :C = 21 : 8\)

Answer:

- 1

Step-by-step explanation:

Step 1:

7b - 2/5 = 6b - 7/5   Equation

Step 2:

7b = 6b - 1   Add 2/5 on both sides

Answer:

b = - 1   Subtract 6b on both sides

Hope This Helps :)

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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The angles ∠DEF and ∠JKL are congruent , option(D) is correct .

Two or more angles are said to be Congruent , if they are identical to each other , OR in other words ,

the angles that have equal measure are said to be Congruent .

For Example : if ∠ABC = 60° and ∠DEF = 60°  then both the angles are congruent .

In the question ,

it is given that

the measure of ∠ABC = 120°

∠DEF = 45°

∠GHI = 30°

∠JKL = 45°

As we can see that ∠DEF and ∠JKL have equal measure of 45° , hence they are congruent .

Therefore , the angles ∠DEF and ∠JKL are congruent , option(D) is correct .

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Answer:

Step-by-step explanation:

Product means multiply.

-300

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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Answer:

Option A

Step-by-step explanation:

The first thing we want to do here is to rewrite the equation given to us, in standard circle equation -

\(x^2+y^2-6x+8y+21=0,\\\left(x-3\right)^2+\left(y-\left(-4\right)\right)^2=2^2\)

The " standard form " of a circle is given to be in the following form,\((x-a)^{2} + (y-b)^{2} = r^2\) where r = radius, centered at ( a, b )

Now as you can see, the center ( given by ( a, b ) ) should be ( 3, - 4 ). Respectively the radius is 2, and therefore the circle properties are -

Center \(( 3, - 4 )\); radius \(2\)

Hope that helps!

Answer:   -2

:)

Step-by-step explanation:

40 miles will he have after 85 minutes of driving .

Given :

austin is driving to san francisco, suppose that the distance to his destination in miles is a linear function of total driving time. has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving .

slope = y2  - y1  / x2 - x1

m = 47.5 - 67 / 75 - 49

= -19.5 / 26

= -3/4

= -0.75

Use the point slope y - y1 = m(x - x1)

y - 67 = -.75 ( x - 49 )

y - 67 = -.75x + 36.75

y = -.75x + 36.75 + 67

y = -.75x + 103.75

x = 85

y = -.75(85) + 103.75

y = -63.75 + 103.75

y = 40 miles  

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Full question :

austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time  has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving . How many miles will he have after 85 minutes of driving ?

The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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Answer: C

Step-by-step explanation:

Given

Displacement vs time graph is shown with Point from A to G

from A to C displacement increases with time such that the slope of the x-t graph is positive

from C to D it is almost zero; from D to F it is negative

Also, slope of x-t graph is velocity

Thus, the positive velocity is seen in A to C

Answer:

value of X

x+23 =140

x. =140-23

x. =117

Answer:

Hello! answer: x = 117

Step-by-step explanation:

140 - 23 = 117

therefore x = 117 Hope that helps!

Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:

∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]

where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).

First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].

Therefore, a = 0 and b = 1.

Next, we need to find h:

h = (b-a)/n = (1-0)/5 = 0.2

Now, we can apply the trapezoidal rule formula:

∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) +             2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]

≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]

≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]

≈ 0.5047

Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

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