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The requried value of x that makes the equation 4x - 2 = 12x + 12 true is -7/4.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
To find the value of x that makes the equation 4x - 2 = 12x + 12 true, we need to isolate x on one side of the equation.

First, we can simplify the equation by combining like terms:

4x - 2 = 12x + 12

-8x - 2 = 12

Next, we can isolate x by adding 2 to both sides of the equation and then dividing both sides by -8:

-8x - 2 = 12

-8x = 14

x = -14/8

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

x = -7/4

Therefore, the value of x that makes the equation 4x - 2 = 12x + 12 true is -7/4.

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Answer:

IpI=4

Step-by-step explanation:

The p inside of the two lines indicates absolute value which would mean that the number would have to be a positive number. It's not the first choice because the player can either gain or lose points.

Answer:

C on edge

Step-by-step explanation:

Every subgroup of the integers has finite index. It is True.

True. Proof: Let H be a subgroup of the integers. By the division algorithm, for any integer n and any positive integer d, there exist unique integers q and r such that n = dq + r and 0 ≤ r < d. In particular, if we take d = |H|, then for any integer n, we have n = dq + r for some integer q and some 0 ≤ r < |H|. This means that any integer n can be written in the form n = h + r for some integer h in H and some 0 ≤ r < |H|. Therefore, the residue classes {h + r : r = 0, 1, ..., |H| - 1} form a complete set of coset representatives for H in Z. Since there are |H| such cosets, it follows that [Z : H] = |H|. Therefore, every subgroup of the integers has finite index.

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Answer:

No

Step-by-step explanation:

The given inequality is b < 1.  We determine whether or not b = 5 is a solution by substituting 5 for b and asking ourselves whether the resultant inequality is true or not:

5 < 1 is FALSE and so b = 5 is NOT a solution of the given inequality.

Answer:

34.6

Step-by-step explanation:

The option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is B) x1 = 5, x2 = 5.25, Z = 56.5

To determine the correct answer, we can substitute each option into the objective function and check if the constraints are satisfied. Let's evaluate each option:

A) x1 = 5, x2 = 4.63, Z = 52.78

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(4.63) = 85 + 37.04 = 122.04 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(4.63) = 15 + 18.52 = 33.52 ≤ 36 (constraint satisfied)

B) x1 = 5, x2 = 5.25, Z = 56.5

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(5.25) = 85 + 42 = 127 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(5.25) = 15 + 21 = 36 ≤ 36 (constraint satisfied)

C) x1 = 5, x2 = 5, Z = 55

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(5) = 85 + 40 = 125 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(5) = 15 + 20 = 35 ≤ 36 (constraint satisfied)

D) x1 = 4, x2 = 6, Z = 56

Checking the constraints:

17x1 + 8x2 = 17(4) + 8(6) = 68 + 48 = 116 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(4) + 4(6) = 12 + 24 = 36 ≤ 36 (constraint satisfied)

From the calculations above, we see that options B), C), and D) satisfy all the constraints. However, option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is: B) x1 = 5, x2 = 5.25, Z = 56.5.

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Answer:

8 3/10 cm

Step-by-step explanation:

Add Emile's 7th and 8th grade growth amounts together:

3 9/10 cm

4 4/10 cm           (This is equivalent to 4 2/5 cm.)

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

 7 13/10 cm, or

 8 3/10 cm

Answer:

x.   y

-1---2^-1=1/2

0---0

1----2

2----2*2=4

Step-by-step explanation:

x.   y

-1---2^-1=1/2

0---0

1----2

2----2*2=4

The fraction of people running in the fitness studio is 11/24.

The problem provides information about the number of people in a fitness studio and the activities they are engaged in. We are asked to find the fraction of people who are running. To solve this problem, we need to use the information provided and subtract the number of people lifting weights and doing cross training from the total number of people in the fitness studio.

So, out of the 24 people in the fitness studio, 38 are lifting weights and 13 are cross training. Therefore, the number of people running can be found by subtracting 38 and 13 from 24, which is equal to 24 - 38 - 13 = -27. However, we know that the number of people running cannot be negative, so we can conclude that there must be an error in the information provided.

Therefore, without additional information, we cannot determine the fraction of people who are running in the fitness studio. We may need to assume that the total number of people provided in the problem is incorrect or there may be other factors that need to be considered to find the correct answer.

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Answer:

17%

Step-by-step explanation:

5 out of 30 is 17%

5/30 = 5 ÷ 30 = .16.  rounds to .17 =17%

The area of the shaded region of the circle is A = 57,918.5 feet²

Given data ,

First, we need to find the area of the quarter circle:

Area of quarter circle = (1/4)  π ( r )²

= (1/4)  π ( 290 )²

= 66,018.5 feet²

Next, we need to find the area of the square:

Area of square = side²

= 90²

= 8,100 feet²

Now, we can find the area of the shaded section by subtracting the area of the square from the area of the quarter circle:

Area of shaded section = Area of quarter circle - Area of square

= 66,018.5 feet² - 8,100 feet²

= 57,918.5 feet²

Hence , the area of the shaded section of the field is 57,918.5 feet²

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Answer:

15

Step-by-step explanation:

2/5x = 6

x=15

Or

2/5x = 6

1/5x = 3

3 x 5 = 15

Answer:

15

Step-by-step explanation:

Answer: 57.72 ft apart

Step-by-step explanation:

Foci distance from centers given by sqrt(33^2-16^2)

Multiply by two to get the distance from each other

Answer:

P-4,7

Q-1,4

R-4,4

S-1,1

Step-by-step explanation:

4,4- 1,4 theres a 3 unit distance. just subtract 3 from y and you'll get the answer

Answer:

m= 18g

Step-by-step explanation:

m = 18 × g

Answer:

a=3

Step-by-step explanation:

x – 2y = 4

ax– 6y = 12

To have infinitely many solutions, the two equations have to be equal

Multiply the first equation by 3

3x -6y = 12

ax -6y = 12

a = 3

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Solution of the expression are,

x = 4 and x = - 4

Given that;

Expression is,

- 2 |x - 2| + 3 = x - 5

Now, We can simplify the expression as;

- 2 |x - 2| + 3 = x - 5

- 2 |x - 2| = x - 5 - 3

- 2 |x - 2| = x - 8

|x - 2| = 4 - x/2

This gives two solutions as;

x - 2 = 4 - x/2

x + x/2 = 6

3x/2 = 6

3x = 12

x = 4

And, x - 2 = - (4 - x/2)

x - 2 = - 4 + x/2

x - x/2 = - 4 + 2

x/2 = - 2

x = - 4

Thus, Solution of the expression are,

x = 4 and x = - 4

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Answer:

x=180

Step-by-step explanation:

Step-by-step explanation:

the equation completed is

1/2 (104 + 256) = 180

104+256 is 360.

360 multiplied by 1/2 (or 0.5) is 180.

First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:

We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:

Therefore, Clara's house is located at (-2,0)

Answer:

Easy so first you have to find the ratio then your done!

Step-by-step explanation:

Answer:

12 is 5

13 is 80%

14 is $3000

Step-by-step explanation:

The vector product (cross product) of M and N is -10j + 155k - 362j - 6k + 24i.

The vector product (cross product) of two vectors M and N is calculated using the determinant method. The cross product of M and N is denoted as M x N. To calculate M x N, we can use the following formula,

M x N = (2 * (-1) - (-4) * (-6))i + ((-4) * 61 - 31 * (-1))j + (31 * (-6) - 2 * 61)k

Simplifying the equation, we get,

M x N = -10j + 155k - 362j - 6k + 24i

Therefore, the vector product M x N is -10j + 155k - 362j - 6k + 24i.

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Answer:

The square root of 5 is expressed as √5 in the radical form and as (5)½ or (5)0.5 in the exponent form.

Step-by-step explanation:

The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:

θ = s / r,

where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.

In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:

θ = 10 cm / 7 cm.

Simplifying the expression, we get:

θ ≈ 1.42857 radians.

Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

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Answer:

14 times

Step-by-step explanation:

9+11+7+9+7+7=50 times

When the spinner is spun if 5 is picked 7 times out of 50

50*2=100 so you must do 7*2

7*2=14

14 times

Answer:

can you click a full photo of this question.

Answer:B .04444

Step-by-step explanation: Edg

The probability of drawing an orange and a green marble is P = 0.08889

Let's assume that the first marble drawn is orange.

The probability of drawing an orange marble is equal to the quotient between the number of orange marbles and the total number of marbles on the bag, so the probability for this first event is:

p = 2/(5 + 2 + 1 + 2) = 2/10 = 1/5

Then we need to draw a green one, but notice that we already drew a marble, so now the total number of marbles is 9, then the probability will be:

q = 2/9

The joint probability is the product of these two, and we also need to add a factor of 2, because we also need to take in consideration the case where the first marble is green and the second is orange, then we will get:

P = 2*(1/5)*(2/9) = 0.08889

We can see that the correct option is the third one.

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