find the value of x.
(6x+8)
(7x-7)

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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Answer:

Color in 40 of the blocks

Step-by-step explanation:

From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

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Answer:

A) 360

B) 360

Step-by-step explanation:

Part A)

Given that there are a total of 6 people and 4 person subcommittee is to be selected.

Number of ways to select 1st person = 6

Now, 1 person is selected, total persons left are 5

Number of ways to select 2nd person = 5

Now, 1 person is selected, total persons left are 4

Number of ways to select 3rd person = 4

Now, 1 person is selected, total persons left are 3

Number of ways to select 4th person = 3

So, total number of ways = 6\(\times\)5\(\times\)4\(\times\)3 = 360

Part B)

Given that there are a total of 6 people in the committee

Number of ways to select president  = 6

Now, 1 person is selected, total persons left are 5

Number of ways to select vice president = 5

Now, 1 person is selected, total persons left are 4

Number of ways to select secretary = 4

Now, 1 person is selected, total persons left are 3

Number of ways to select treasurer = 3

So, total number of ways = 6\(\times\)5\(\times\)4\(\times\)3 = 360

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Step-by-step explanation:

exactly.

maybe this helps even more : always identify what is supposed to be 100% and what would be 1% then (1/100 of 100%). and then you check how often 1% fits into the amount in question.

100% = 25000

1% = 100%/100 = 25000/100 = 250

the price decrease is 25000 - 20000 = 5000.

so, the percentage is

difference /1% = 5000/250 = 20%

Answer: 10

Step-by-step explanation:

Sqrt (7- -5)^2+(-5-4)^2 =

Sqrt (12)^2+(-9)^2 =

Sqrt 225 = 15

2/3 * 15 = 30/3 = 10

The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

Step-by-step explanation:

(x₁, y₁) = (-9 ,8)   and (x₂ , y₂) = (-3 , -1)

\(Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-8}{-3-[-9]}\\\\=\dfrac{-9}{-3+9}\\\\=\dfrac{-9}{6}\\\\=\dfrac{-3}{2}\)

Answer:  12

Step-by-step explanation:

you can check this by doing this 12 x 2 = 24 + 3 = 27

Answer:

always

Step-by-step explanation:

X=2x +£2x -15) +2x +(2x +24) 180= 9x+7x = 9 +9x = 18

Answer:

Step-by-step explanation:

The above figure is a parallelogram and so - "the opposite sides of a parallelogram are equal"

so -

The solution is 42 : 98 : 105

The ratio of the number of songs Gerald , Harold and James downloaded is in the ratio 42 : 98 : 105

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the ratio of number of songs downloaded by Gerald and Harold be =

3 : 7

Let the ratio of number of songs downloaded by Harold and James be =

14 : 15

So , the number of songs downloaded by Gerald = 3x

The number of songs downloaded by Harold = 7x

And ,

The number of songs downloaded by Harold = 14y

The number of songs downloaded by James = 15y

So , substituting the values in the equation , we get

7x = 14y

x = 2y

And ,

The number of songs downloaded by Gerald = 3 x 14 z

The number of songs downloaded by Gerald = 42z

The number of songs downloaded by Harold = 7 x 14z

The number of songs downloaded by Harold = 98z

The number of songs downloaded by James = 7 x 15z

The number of songs downloaded by James = 105z

So , the ratio of the number of songs Gerald , Harold and James downloaded = 42z : 98z : 105z

On simplifying the proportion , we get

The ratio will be = 42 : 98 : 105

Hence , The ratio of the number of songs Gerald , Harold and James downloaded is in the ratio 42 : 98 : 105

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line j and k are perpendicular (option B)

J passes through points (8, 2) and (-2, -2)

line K passes through (-4, 3) and (-6, 8)

We need to find the relationship betwen the lines by using the slope from both lines

slope formula is given by:

Let's find slope of each line:

For two lines to be parallel, their slope will be the same:

Since the slopes are not the same, they are not parallel

For two lines to be perpendicular, the slope of one line will be negative reciprocal of the other line:

slope of one line = 2/5

reciprocal of the line = 5/2

negative reciprocal of the line = -5/2

We can see -5/2 is the slope of the other line.

As aresult, line j and k are perpendicular

Answer: (x + 2) (x + 9)

Step-by-step explanation:

Factor using the AC method.

Answer:

option B

Step-by-step explanation:

The amount of ribbon needed is 120 inches

The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.

Given:

length = 24 inches

width = 36 inches

So, amount of ribbon needed

=2(36+ 24)

=2(60)

=120 inches

Hence, the amount of ribbon needed is 120 inches

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The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

Answer:

400

Step-by-step explanation:

48 is 12% of x

12/100 = 48/x

3/25 = 48/x

1/25 = 16/x

x = 25 × 16

x = 400

Answer: 400

Answer:

400

Step-by-step explanation:

(48 x 100) / 12 = 400

Answer:

In mathematics, a function is a binary relation between two sets that associates each element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers.

Ex 1: x2 (squaring) is a function.

Ex 2: x3+1 is also a function.

Step-by-step explanation: really hope this helps.

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10

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

−2 /2/1 −(−4 3/5)

Express properly

So, we have the following representation

-2 1/2 - (-4 3/5)

Remove the brackets

This gives

-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5

Express the denominator as 10

So, we have

-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10

Evaluate the difference

-2 1/2 - (-4 3/5) = 2 1/10

Hence, the solution is 2 1/10

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The value in the data set varies from 12 by an Average of 4.

The mean of the data set is 12 and the mean absolute deviation is 4.

Option 1: Each value in the data set varies from 12 by exactly 4.

This statement cannot be concluded based on the given information. The mean absolute deviation measures the average distance between each data point and the mean. It does not imply that each value varies by exactly 4 from the mean.

Option 2: Each value in the data set varies from 12 by an average of 4.

This statement is true. The mean absolute deviation of 4 indicates that, on average, each data point deviates from the mean by 4 units. It does not necessarily mean that each value varies by exactly 4, but the average deviation is indeed 4.

Option 3: No values in the data set are less than 8 or greater than 16.

This statement cannot be determined based on the given information. The mean and mean absolute deviation do not provide information about the specific values in the data set. It is possible for some values to be less than 8 or greater than 16 while still maintaining a mean of 12 and a mean absolute deviation of 4.

Option 4: Half of the values in the data set are 8, and half of the values in the data set are 16.

The  value in the data set varies from 12 by an average of 4.

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If you're asking about the largest number that can be written with 3 digits in the given base:

• In base 2, the largest number with 3 digits is

111₂ = 1•2² + 1•2¹ + 1•2⁰ = 7

• In base 12, the largest number with 3 digits is

bbb₁₂ = 11•12² + 11•12¹ + 11•12⁰ = 1727

(in base 12, a₁₂ = 10 and b₁₂ = 11)

Answer:

2.221992

Step-by-step explanation:

can i have the crown pls ૮ ♡ﻌ♡ა

Answer:

2.221

Step-by-step explanation:

The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1)(x - 2)

We have to given that;

Expression is,

⇒ [x /(x² - x - 2)]  + [ (x - 1) / (x - 2) ]

We can simplify as;

⇒ [x / (x² - x - 2)]  + [(x - 1) / (x - 2)]

⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]

⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]

⇒ [1 / (x - 2)]  × [ x + (x - 1)²] / (x - 1)

⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]

⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)

⇒ (x² - x + 1) / (x - 1) (x - 2)

Hence, The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1) (x - 2)

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Answer:

(f - g)(x) = -x² + 2x + 3

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 3

g(x) = x²

(f - g)(x) = f(x) - g(x)

Step 2: Set up expression (Substitute)

(f - g)(x) = f(x) - g(x)

(f - g)(x) = 2x + 3 - x²

Step 3: Simplify

(f - g)(x) = -x² + 2x + 3

Answer:↓↓

Step-by-step explanation:

2, 3, 13, 14, 16, 20, 20, 20, 30, 40

Mean: the average of a data set.

2 + 3 + 13 + 14 + 16 + 20 + 20 + 20 + 30 + 40 / 10 = 178/10 = 17.8

Median: the middle of the set of numbers.

16 + 20 / 2 = 36/2 = 18

Mode: the most common number in a data set.

20

Range: The difference of the smallest and highest number.

40 - 2 = 38