Solve 5ax + 6 ax = 7ax+ 8 for x. Assume a # 0. O A. x = = B. x = 2a ( C. 2 = D. x = a n​

Answer:

1. 3.33333333333

2. -1.3

3. 2.61904761905

4. 2.00833333333

Therefore, 110 calories are in 1 serving of milk.

Given, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda.

Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk.

Marian consumes 510 calories by drinking 3 servings of milk and 1 soda.

Linear programming, commonly known as LP, is a straightforward technique for representing complex real-world interactions by means of a linear function.

Now,

Let the calories in one serving of milk be x

Let the calories in one serving of juice be y

Let the calories in one serving of soda be z

For Joe, the equation to show the amount of calories is

2x + y + z = 530 -----(1)

For Darius, the equation to show the amount of calories is

x + 2y = 370 ------(2)

For Marian, the equation to show the amount of calories is

3x + z = 510 ------(3)

Now, y=370/2-x/2 and z=510-3x substitute in the equation 2x + y + z = 530.

2x+185-0.5x+510-3x=530

⇒695-1.5x=530

⇒1.5x=165

⇒x=110 calories

Hence, 110 calories are in 1 serving of milk.

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The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

The equation is given below.

x² - 8x + y² + 6y - 11 = 0

     x² - 8x + y² + 6y = 11​​

Then the center and the radius of the circle will be

x² - 8x + 16 + y² + 6y + 9 = 11​ + 16 + 9

             (x - 4)² + (x + 3)² = 36

             (x - 4)² + (x + 3)² = 6²

Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.

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Answer:

-4.625, -4 8/11, -4 4/5, -5.2

Step-by-step explanation:

-4 8/11 = -4.72727272723

-4 4/5 = -4.8

Answer:

72.8

Step-by-step explanation:

Answer:

8,000 words

Step-by-step explanation:

If a typewriter types 750 words per hour and she types 8 hours a day she would write 8,000 words a day because 750 x 8 = 8,000.

Answer:

Hope this helps :D

Step-by-step explanation:

Explanation on picture

Answer:

18/5

Step-by-step explanation:

you have to times then divide

Answer:

A= 4,5

Step-by-step explanation:

the required ans is above

Answer:

[tex]\{ 16, 25\}[/tex]

Step-by-step explanation:

[tex]x~ \text{is a perfect square and}~ 10 < x < 30 \\\\\text{The possible values of x are}:\\\\4^2 = 16\\\\5^2 = 25[/tex]

Based on the calculations, the equation of the triangle's line of symmetry is equal to: B. y = x - 1.

First of all, we would determine the midpoint where the line of symmetry passes through points A and B:

Midpoint at point A = (3 + 7)/2 = 10/2 = 5.

Midpoint at point B = (6 + 2)/2 = 8/2 = 4.

Point D = (5, 4)

Mathematically, the standard equation of a line is given by y = ax + b.

D(5, 4); 4 = 5a + b   ....equation 1.

C(4, 3); 3 = 4a + b    ....equation 2.

Subtracting eqn. 2 from eqn. 1, we have:

1 = a

Next, we would find the value of b:

4 = 5a + b

4 = 5(1) + b

b = 4 - 5

b = -1.

Therefore, the equation of the triangle's line of symmetry is given by:

y = ax + b

y = x(1) + (-1)

y = x - 1.

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The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

Given the following limit of a function expressed as;

[tex]\lim_{x \to 0} f(x)=4[/tex]

We are to determine the value of the function

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]

This can also be expressed as

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]

Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

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Answer:

e: f=3 : 7 and f : g= 2 : 3

Step-by-step explanation:

here's the answer

B; the y axis is what moves up and down

Answer:

A= 153.94 mm

Step-by-step explanation:

A = πr²

A=π(7)²

A= 153.94 mm

Answer: C, D

Step-by-step explanation:

Acute angles of right triangles are complementary, and the sine of an angle is equal to the cosine of its complement.

Answer:

5182

Step-by-step explanation:

To figure out the mean of a number, you must add all of the numbers together and divide by the amount of numbers you added up.

To find the total sum, we just need to reverse this process.

We are already given the final number so all we have to do is multiply the mean by 100 and we have our answer of 5182.

Hope this helps :D

Answer:

BD = BE

Step-by-step explanation:

If BD = BE , angle BED = angle BDE.

Because they are in a same triangle.

And also they are congruent.

Answer:

Step-by-step explanation:

Comment

The theoretical probabilities are

Red: 8/20 = 0.4

Blue:6/20 = 0.3

yellow:6/20 = 0.3

The experimental Probabilities are

Red: 11/40 = 0.275

blue: 11/40 = 0.275

Yellow: 18/40=0.45

Both probabilities add to 1 as they should

The yellow is the highest disproportionate answer and it really shouldn't be. If anything it should be red. (0.45 > 0.4 comparing yellow experimental with red theoretical. The yellow is way more than it should be)

The number of trials is double the number of marbles in the jar. The number of trials would be double for each color in the jar. Both blanks are double.

The number of ways that Grant can arrange 3 of his 10 plants on a window ledge is 120 ways

The number of ways that Grant can arrange 3 of his 10 plants on a window ledge will be:

= 10!/(10! - 3!)3!

= 10!/7!3!

= (10 × 9 × 8)/(3 × 2)

= 120

When the parade organizer received 8 entries for floats, the number of ways that he can arrange 4 floats out of the 8 entries will be:

= 8!/(8! - 4!)4!.

= 8!/4!4!

= (8 × 7 × 6 × 5)/(4 × 3 × 2)

= 70

4! in expanded form will be:

= 4 × 3 × 2

= 24

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Step-by-step explanation:

please mark me as brainlest

Answer:

1814400

Step-by-step explanation:

Answer:

i dont have it the answer ofvthis

Answer:

3.) (5,2), (5,5), and (9,2)

Step-by-step explanation:

The triangle currently has the coordinates (2,0), (6,0), and (2,3).

If you want to translate the triangle up 2 units, you need to add 2 to each "y" value.

(2,0)  -----------> y = 0  ------------> new y = 2

(6,0) -------> y = 0   --------------> new y = 2

(2,3)  ----------> y = 3 -----------> new y = 5

If you want to translate the triangle 3 units to the right, you need to add 3 to each "x" value.

(2,0)  -----------> x = 2  ------------> new x = 5

(6,0) -------> x = 6  -------------->  new x = 9

(2,3)  ----------> x = 2 ----------> new x = 5

Therefore, the new coordinates are (5,2), (9,2), and (5,5).

Answer:

-16n-41

Step-by-step explanation:

Answer:

-16n - 41

Step-by-step explanation:

(2 • (-n - 3)) -  7 • (2n + 5)

-n - 3  =   -1 • (n + 3)

-2 • (n + 3) -  7 • (2n + 5)

-16n - 41  =   -1 • (16n + 41)

Use the leading term for your answer

-16n - 41

Answer:

20

Step-by-step explanation:

as we know

[tex] \tan {45}^{0} = 1 \\ [/tex]

20/ 1=20

is correct answer

Answer:

C = A/d - b/d or C = (A - b)/d

Step-by-step explanation:

A = b + cd

A - b = cd

A/d - b/d = c