What is the slope of the line represented by the equation y = x-31
3?
O-3
10 - 1/2
5
O 3

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

Answer:

-3.5   <   2.8

7.4   >   -9

Step-by-step explanation:

If you have a negative number and a positive number the positive number is always greater.

When you have a negative number and another negative, the smallest number is greater.

For example: -2.5       -3.7

-2.5 is greater than -3.7 because it is less negative.

-2.5   >   -3.7

When you have a positive number and a positive number, the biggest number is greater.

For example: 8.3       4.2

8.3 is greater than 4.2 because it is a bigger number.

8.3   >   4.2

Answer: -30

Step-by-step explanation:

My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.

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Answer:

C = 39

Step-by-step explanation:

From the question given above, the following data were obtained:

A = 2x + 108

B = x + 33

C =?

Next, we shall obtain an expression for C. This can be obtained as follow:

A + B + C = 180 (sum of angles in a triangle)

2x + 108 + x + 33 + C = 180

2x + x + 108 + 33 + C = 180

3x + 141 + C = 180

Make C the subject by rearranging

C = 180 – 141 – 3x

C = 39 – 3x

Next, we shall determine the value of x. This can be obtained as follow:

A = 2x + 108

B = x + 33

C = 39 – 3x

A + B + C = 180

2x + 108 + x + 33 + 39 – 3x = 180

2x + x – 3x + 108 + 33 + 39 = 180

3x – 3x + 180 = 180

3x – 3x = 180 – 180

3x – 3x = 0

x(3 – 3) = 0

x(0) = 0

x = 0

Finally, we shall determine C. This can be obtained as follow:

C = 39 – 3x

x = 0

C = 39 – 3(0)

C = 39 – 0

C = 39

Answer:

1b

Step-by-step explanation:

The required value of x for the given problem is 20°.

Exterior angles are those that run parallel to a polygon's interior angles but are located outside of it. The sum of the two interior opposite angles determines the size of an exterior angle. A and B are interior angles in the provided image, and d is an exterior angle. We can express this by writing d = a plus b.

We have given;

exterior angle = 160°

To find the value of x

We know that sum of all angles on straight line is 180°

Then

160° + x = 180°

x = 180° - 160°

x = 20°

Thus, required value of x is 20°.

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Step-by-step explanation:

\(2 {x}^{2} + 5x + 3 \\ (x + 2)(x + 3)\)

X = -2 or -3

Answer:

-2

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

15%= 0.15

2800*0.15= 420

This law can be used to find the unknown side of a triangle given the ratio of two sides and the angle opposite one of them.

A polygon is a closed two-dimensional figure that has three or more straight sides. A polygon method is a method of determining an unknown angle or side in a triangle using trigonometric ratios. The cosine law, also known as the Law of Cosines, is used to determine the side lengths or angle measures in any triangle. It relates the length of each side of a triangle to the cosine of one of its angles. The law of cosines states that

`a² = b² + c² − 2bc cos A` or

`b² = a² + c² − 2ac cos B` or

`c² = a² + b² − 2ab cos C`

where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.

In essence, this law is used to solve a triangle given one side and two angles, two sides and an included angle, or three sides. On the other hand, the sine law, also known as the Law of Sines, is used to solve triangles in which you know the ratio of the lengths of two sides and the measure of the angle opposite one of those sides.

The sine law states that `a/sin A = b/sin B = c/sin C`

where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.

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Answer:

4

Step-by-step explanation:

ik how to find slope and yeah

The dividend is the result of multiplying the divisor and quotient and adding the remainder. In this case, the divisor is 6, the quotient is 90, and the remainder is 4.

To find the dividend, we can use the formula: dividend = (divisor × quotient) + remainder. Substituting the given values, we have: dividend = (6 × 90) + 4. Simplifying this expression, we get: dividend = 540 + 4. Adding 540 and 4, we find that the dividend is 544.

The dividend represents the total quantity or value that is being divided. In this context, if we divide the dividend (544) by the divisor (6), we would obtain the quotient of 90 with a remainder of 4. So, when dividing 544 by 6, we can expect the quotient to be 90 and a remainder of 4.

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Answer:

y = 3x/2 + 3

Step-by-step explanation:

First let's solve for y in the given equation

Subtract 3x from both sides

3x - 2y = -10

- 3x         - 3x

-2y = -3x - 10

Divde both sides by -2

-2y/-2 = (-3x - 10)/-2

y = 3x/2 + 5

The slop of the parallel equation will have to be 3/2

y = 3x/2 + b

Plug in the given coordinates

4 = 3(2)/2 + b

4 = 1 + b

Subtract 1 from both sides

4 = 1 + b

- 1.  - 1

b = 3

y = 3x/2 + 3

Answer:

262.8 feet

Step-by-step explanation:

To determine how much longer Sam walks, we need to calculate the distance of his actual path compared to the diagonal walkway. Using the Pythagorean theorem, we can calculate the diagonal walkway's length as follows:

diagonal walkway = √(1600² + 400²) = √(2560000) = 1600√2 ≈ 2,262.8 feet

To find Sam's actual path, we can add the distance from the entrance to the sports store (200 feet) and the distance from the sports store to the food court (800 feet):

actual path = 200 + 800 = 1000 feet

The difference between the actual path and the diagonal walkway is:

1000 - 1600√2 ≈ -262.8 feet

Since the result is negative, it means that Sam walks approximately 262.8 feet less than if he walks directly from the entrance to the food court along the diagonal walkway.

Answer:

$3.28

Step-by-step explanation:

→ Find how much he should pay

6.72

→ Subtract from original amount

10.00 - 6.72 = 3.28

The missing step was 2x-6+10x= 15+5x, the step where was applied the distributive property.

Applying the distributive property, the given radical expression can be represented by 15.

The properties of multiplication are:

For answering the question, you should solve the given expression step by step. After that, you should identify the missing step from the information given for the question.

The question gives:  2(x-3) + 10x = 5(3 + x), from the distributive property. you have

2x-6+10x= 15+5x     (step 1)

2x -5x +10x = 15+6  (step 2)

7x=21                       (step 3)

x=3                          (step 4)

See that step 1 (2x-6+10x= 15+5x ) is not shown in the question.

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The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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This is because the number of pounds can take on an infinite number of values within a range.

The following table shows a series of experiments and associated random variables:ExperimentRandom Variable (x)Values

Continuous or Discrete

a. Take a 15-question examinationNumber of questions answered correctlyDiscreteb. Observe cars arriving at a tollbooth for 1 hourNumber of cars arriving at tollboothDiscretec. Audit 50 tax returnsNumber of returns containing errorsDiscreted. Observe an employee's workNumber of nonproductive hours in a nine-hour workdayDiscretee. Weigh a shipment of goodsNumber of poundsContinuous

The random variable in experiment a is discrete. This is because the number of questions answered correctly can only take on a finite number of values.The random variable in experiment b is also discrete. This is because the number of cars arriving at the tollbooth can only take on a finite number of values.The random variable in experiment c is also discrete. This is because the number of returns containing errors can only take on a finite number of values.The random variable in experiment d is discrete. This is because the number of nonproductive hours in a nine-hour workday can only take on a finite number of values.The random variable in experiment e is continuous.

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Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

To find out how much Hayato spent in Japanese Yen, we need to multiply the amount he spent in USD by the exchange rate:

$203 * 80.71 = 16,383.13

So, Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

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When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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Answer:

slope = -3

y-intercept = (0,7)

An inequality that represents all possible values of x, the number of adoptions from the animal rescue group during the first week is x ≤ 10.

In order to write an inequality that represents all possible values of x, we would assign a variable to the number of adoptions, and then translate the word problem into algebraic equation as follows:

Let the variable x be the number of adoptions.

For the first week, the number of adoptions is x while the number of adoptions during the second week was 10 more than number of adoptions in the first week (x + 10), with twice as many adoptions for the third week (2x), and a total of at least (≥) 50 adoptions during the three weeks.

Combining the expressions together, we have the following:

x + (x + 10) + (2x) ≤ 50

Opening the bracket, we have:

x + x + 10 + 2x ≤ 50

Rearranging the equation by collecting like terms, we have:

x + x + 2x + 10 ≤ 50

4x + 10 ≤ 50

4x ≤ 50 - 10

Subtracting 10 from both sides of the inequality, we have:

4x + 10 - 10 ≤ 50 - 10

4x ≤ 40

Dividing both sides of the inequality by 4, we have:

x ≤ 40/4

x ≤ 10.

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IM NOT QUIT SO SURE BUT IF MY CALCULATIONS ARE CORRECT ITS C

Answer:

i got u, its A

Step-by-step explanation:

By calculation, your grade in the class now is 78.7

From the question, we have the following parameters that can be used in our computation:

Score of 47.2 in 60

Represent the score in 100% with x

So, we have the following equation

47.2/60 = x/100

Multiply both sides of the equation by 100

So, we have

100 * 47.2/60 = x/100 * 100

This gives

100 * 47.2/60 = x

So, we have

x = 100 * 47.2/60

Evaluate

x = 78.7

Hence, your grade in the class now is 78.7

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EXPLANATION :

The cost of a 12 nights camp accommodation is 6720.

We need to divide the cost by 12 to get the cost per day.

Now, we are asked to find the cost of 7 nights and 4 nights.

We just need to multiply the daily rate by the number of nights.

a. 7 nights :

7 x 560 = 3920

b. 4 nights :

4 x 560 = 2240

ANSWER :

a. 3920

b. 2240

Answer:

hope it helps ......

Step-by-step explanation:

....

have a great day

Answer:

-3x = 7 .  

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

Answer:

The answer to this question is 2.137931034

Step-by-step explanation:

Just divide it by a calculator.