6x +3 = 7x-3
Solve this eqation plss

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Answer:

Rule by a small group : Oligarchy

Rule by Citizens : Democracy

Rule by No one Anarchy

Rule by king or Queen : Monarchy

The required rates are: Unit rate of graph K = 3, Unit rate of graph P = 0.5, and Unit rate of graph F = 1. The order from lower to greater is Graph P, graph F, graph K

Step 1: As we know that Unit Rate

Step 2: Notice that the in graph K line passes through the point (1,3)

Step 3: (1,3)

It means the value of function is 3 when x= 1

Step 4: So the unit rate of graph K is, 3/1

Step 5: Simplify the expression.

3/1 = 3

Step 6: Similarly we can see that the graph P have the point (2, 1)

Step 7: So the unit rate of graph P will be 1/2

Step 8: Simplify the expression.

1/2 = 0.5

Step 9: The graph F have point (1, 1) so it have unit rate of 1/1

Step 10: Simplify the expression.

1/1 = 1

Step 11: So we have unit rate of graph K = 3, F= 1 and graph P = 0.5

Step 12: Putting them in least to greater order as,

0.5, 1, 3

It follows that;

graph P, graph F, graph K

Therefore, the required answer is,

Unit rate of graph K = 3

Unit rate of graph P = 0.5

Unit rate of graph F = 1

And the order from lower to greater is, Graph P, graph F, graph K

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Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

0.712

Step-by-step explanation:

Given that :

Mean (m) = 25

Standard deviation (s) = 11

Sample size (n) = 70

Probability that x will be between 23 and 26

Zscore = (x - mean) / s/√n

For x = 23

Zscore = (23 - 25) / (11/√70)

Zscore = −1.521200

P(Z < - 1.52) = 0.064

For x = 26

Zscore = (26 - 25) / (11/√70)

Zscore = 0.76

P(Z < 0.76) = 0.776

P(Z < 0.76) - P(Z < - 1.52)

0.776 - 0.064 = 0.712

Answer:

The GCF is 3, but I'm not sure how you would rewrite it.

3*10 - 48*2

30 - 96

-66

Step-by-step explanation:

8 X 700 = 8 X 7 hundereds.

=56 hunderds

= 5600

Answer:

-5/6

Step-by-step explanation:

multiply the top

-10

multiple the bottom

12

you get

-10/12

or simplified

-5/6

Answer:

de 35

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

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Answer:

1. there are 0 4s in 0 so the first one is 0

2. you can not reach to 8 with 0s, so the answer is undefined

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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If a stemplot as shown in the attachments attached alongside the question statement, display the grades (out of 30) that 26 students received on a quiz, and has values [12, 14, 15, 16, 20, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30], then the boxplot (A) correctly displays the distribution of quiz grades.

As per the question statement, a stemplot as shown in the attachments attached alongside the question statement, display the grades (out of 30) that 26 students received on a quiz, and has values [12, 14, 15, 16, 20, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30].

We are required to determine which one of the four boxplots provided in the attachments correctly displays the distribution of quiz grades.

To solve this question, first let us observe the distribution of the grades, where the grade 13, 17, 18, 19, 20 and 21 are missing. Hence, the set is a discontinuous one.

Looking at options (B) and (D), these boxplots have a straight continuous line from 12 upto 30, which means that the grades 13, 17, 18, 19, 20 and 21 are also included in the set. This is false, and hence, options (B) and (D) cannot be the correct answers.

Coming to Option (C), it has a continuous line from 15 to 30, which means, the grades [17, 18, 19, 20 and 21] are also included in the set, and this is also not true. Hence, option (C) is also not our correct answer.

Finally coming to option (A), It has four individual dots over 12, 14, 15 and 16, and then, a gap, and a continuous line from 20 to 30 after the gap. From our set, we can observe that, 12, 14, 15 and 16 are in-fact present in the set, each of them having occurrence once only, and thus the four individual dots over 12, 14, 15 and 16 correctly addresses this situation. Also, every number between 22 and 30 are present in the set, and the numbers of (23, 24, 25, 26 and 27) have the most occurrences, which the boxes on top of (23 - 27) again correctly address.

Hence, our correct answer is option (A).

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Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

The value of 2 in 2783 is 10 times the value of 2 in 7238

Place value of a number can be defined as the position of each digit in a number.

It is the value represented by a digit in a number on the basis of its position.

It is also known as system in which the position of a digit in a number determines its value.

Example:

The place value of 5 in 3500 is 500

The place value of 2 in 3240 is 200

Given the values:

2783 and 7283

The place value of 2 in 2783 is 2000

The place value of 2 in 7283 is 200

Find the quotient, we have:

= 2000/ 200

= 10

The value of 2 in 2783 is 10 times the value of 2 in 7238

Thus, the value of 2 in 2783 is 10 times the value of 2 in 7238

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Answer:

C.

Step-by-step explanation:

5/4x-2=3/2x-4

5/4x-3/2x = -4+2

(multiply both sides by 4)

5x-6x=-16+8

-x=-8

(multiply by -1)

x=8

Answer:

C

Step-by-step explanation:

\(\frac{5x}{2} +\frac{7}{2} =\frac{3x}{4} +14\\) isolate the terms with the variable x

\(\frac{5x}{2} -\frac{3x}{4} =14-\frac{7}{2}\) get the same denominator and combine like terms

\(\frac{10x-3x}{4} = \frac{28-7}{2}\) solve

\(\frac{7x}{4} =\frac{21}{2}\) crossmultiply and solve for x

\(x=\frac{4*21}{7*2} =6\) so is not the first option

try second

\(\frac{5x}{4} -9=\frac{3x}{2} -12\) same steps as before

\(\frac{5x-6x}{4}=9-12\\)

\(\frac{-x}{4} =\frac{-3}{1}\)  so  x=12 not the second option

try third option

\(\frac{5x}{4} -2=\frac{3x}{2} -4\)

\(\frac{5x-6x}{4} =2-4\)

\(\frac{-x}{4} =\frac{-2}{1}\) so x=8

c² = a² + b²

x = 12.8² - 5.3²

x = 163.84 - 28.09

x = √135.75

x = 11.65 ≈ 11.7

The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.

To find the z-scores, we need to use the formula:

z = (x - μ) / σ

where:

z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.

Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:

z = (39 - 34) / 5

z = 5 / 5

z = 1

So, the z-score for the raw score of 39 is 1.For a raw score of 30:

z = (30 - 34) / 5

z = -4 / 5

z = -0.8

The z-score for the raw score of 30 is -0.8.

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Answer:

13.74

Step-by-step explanation:

3.59+5.15+1.99+1.99=12.72 total without tax

12.72x1.08 (includes 8% sales tax)=13.74

Answer:

the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

Step-by-step explanation:

Answer: 800 more hours is required to fly an aircraft

Step-by-step explanation:

Therefore , the solution of the given problem of volume comes out to be

you would then possess 1/9 of the volume.

The term "volume" refers to how much general space an object occupies. Unlike mass, volume changes depending on the surroundings. The mass of a substance in a given volume is referred to as its "density." It describes the relationship between mass and volume.

Here,

A cylinder has a volume of V = r2h.

As a result, V = r2[(1/3)]h is obtained by multiplying h by 1/3.

The (1/3) can be moved to the front to obtain V = [(1/3)]r2h because you are free to multiplied in any ratio you choose.

Thus, you would receive one-third of the initial mass.

What would occur if you increased the radius by 1/3 in contrast to this?

Next, you would have

=> V = π[(1/3)r]2h

=> V = π(1/9)r2h

=> V = (1/9)πr2h

You would then possess 1/9 of the volume.

Therefore , the solution of the given problem of volume comes out to be

you would then possess 1/9 of the volume.

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Answer:

Step-by-step explanation:

(a) To find the rate of change of V at P in the direction of vector v, we need to compute the directional derivative of V at P in the direction of v, denoted by ∇v V(P).

The directional derivative of V in the direction of v is given by the dot product of the gradient of V at P with v:

∇v V(P) = ∇V(P) · v

where ∇V(P) is the gradient of V at P, which is a vector that points in the direction of the maximum rate of change of V at P, and its magnitude is the maximum rate of change at P.

To compute ∇V(P), we take the partial derivatives of V with respect to x, y, and z:

∂V/∂x = 10x - 2y + yz

∂V/∂y = -2x + xz

∂V/∂z = xy

So,

∇V(P) = (10(3) - 2(6) + (6)(4))i + (-2(3) + (3)(4))j + (3)(6)k

= 34i - 6j + 18k

The unit vector in the direction of v is

|v| = √(1^2 + 1^2 + (-1)^2) = √3

so the direction of v is

v/|v| = (1/√3)i + (1/√3)j - (1/√3)k

Therefore, the rate of change of V at P in the direction of v is

∇v V(P) = ∇V(P) · v/|v| = (34i - 6j + 18k) · ((1/√3)i + (1/√3)j - (1/√3)k)/√3

= (28√3)/3

Hence, the rate of change of V at P in the direction of v is (28√3)/3.

(b) The direction in which V changes most rapidly at P is given by the direction of the gradient vector ∇V(P). This is because the gradient vector points in the direction of the maximum rate of change of V at P, and its magnitude is the maximum rate of change.

We have already computed ∇V(P) in part (a):

∇V(P) = 34i - 6j + 18k

So the direction in which V changes most rapidly at P is the direction of the vector (34i - 6j + 18k)/|∇V(P)|, which simplifies to

(2i - (1/3)j + (2/3)k)/√3

(c) The maximum rate of change of V at P is given by the magnitude of the gradient vector ∇V(P).

We have already computed ∇V(P) in part (a):

|∇V(P)| = √(34^2 + (-6)^2 + 18^2) = 2√466

So the maximum rate of change of V at P is 2√466.

y-intercept (0, -7) and x-intercept (5,0)

1) To find the y-intercept, let's rewrite that equation into the slope-intercept form to better do it:

2/5x -2/7y =2 Add 2/7y to both sides

-2/7y = 2 -2/5x Multiply the whole equation by 7 to get rid of the fraction x

-2y = 14 -14/7x Divide by -2

y = -7 +x

y= x -7

So the y-intercept is at y=-7

2) To find the x-intercept, let's plug into that y=0

2/5x -2/7y =2

2/5x -2/7(0) = 2

2/5x = 2

x= 2 : 2/5

x = 2 x 5/2

x= 5

3) Hence, the answer is y-intercept (0, -7) and x-intercept (5,0)

The scale factor from Figure 1 to Figure 2 is 2.25, meaning that all side lengths in Figure 1 must be multiplied by 2.25 to get the corresponding side lengths in Figure 2.

When we say that two figures are similar, we mean that they have the same shape but possibly different sizes. If two figures are similar, then the corresponding angles are equal and the corresponding side lengths are proportional. This means that if we take any two corresponding side lengths from the two figures and divide them, the result will always be the same constant value. This constant value is called the scale factor, or the constant of proportionality, that relates the two figures.

In this problem, we are given two quadrilaterals that are similar, and we are asked to find the scale factor from Figure 1 to Figure 2. We are given that one of the side lengths in Figure 1 is 8, and the corresponding side length in Figure 2 is 18.

To find the scale factor, we need to determine the factor by which we need to multiply all the side lengths in Figure 1 to get the corresponding side lengths in Figure 2. Let's call this factor "k".

We know that the side lengths in similar figures are proportional, so we can set up the following equation:

8k = 18

This equation says that if we multiply the length of each side in Figure 1 by "k", we will get the length of the corresponding side in Figure 2. We solve for "k" by dividing both sides of the equation by 8, which gives:

k = 18/8

We can simplify this fraction to get:

k = 2.25

This means that to go from Figure 1 to Figure 2, we need to multiply all the side lengths by 2.25. Therefore, the scale factor from Figure 1 to Figure 2 is 2.25, or 9/4, or 225%.

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Answer:

We need to find the circumference, and in order to find the circumference we must know the formula for it.

Formula for circumference of a circle;

a = 2πr

Where π is the pi(3.14 or 22/7), and r is the radius which is half of the diameter.

Since we are given the diameter, we need to find the radius. So 1/2 of the diameter (26 x 1/2) = is 13

Now we just plug in the actual values in the formula:

a = 2πr

a = 2 x 3.14 x 13

a = 18.84 feet

But now, we need to find how many revolutions it would take to get to 500 feet.

So we divide 500 feet by 18.84 feet;

500/18.84 = 26.53, around 27 revolutions.