Solve.

−8y ≥ 56


y ≤ 7


y ≥ 7


y ≥ –7


y ≤ −7

Answer:

y = 2/7 x - 51/7

Step-by-step explanation:

Equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-(-7)/(-9-(-7) = (x-1)/(-6-1)

(y+7)/-2 = (x-1)/-7

(-y-7)/2 = (-x+1)/7

-y-7 = -2/7 x + 2/7

-y = -2/7x +2/7 + 7

y = 2/7 x - 2/7 - 7

y = 2/7 x + (-2-49)/7

y = 2/7 x - 51/7

Using the corresponding angle theorem, the value of y is 36 degree.

In the given question, b||c.

We have to find the value of y.

Given: b||c

Find: Value of y

Let x be the value of side angle of (2y+34) degree.

So, using the corresponding angle theorem

x = 74 degree

As we know that the sum of straight line is 180 degree.

So 2y+34+x = 180

Now putting the value of x

2y+34+74=180

After simplifying

2y+108=180

Subtract 108 on both side, we get

2y=72

Divide by 2 on both side, we get

y=36

Hence, the value of y is 36 degree.

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Answer:

x = 3                                x = -15

Step-by-step explanation:

|2x + 12| = 18

There are two solutions to an absolute value equation, one positive and one negative

2x+12 = 18            2x+12 = -18

Subtract 12 from each side

2x+12-12 = 18-12            2x+12-12 = -18-12

2x = 6                             2x = -30

Divide by 2

2x/2 = 6/2                     2x/2 = -30/2

x = 3                                x = -15

Answer:

45/100, 0.45, 9/20

Step-by-step explanation:

Answer 1:  A percentage is part of a number is written in hundredths.  Thus, 45% is the same as 45/100

Answer 2:  To convert 45% to a decimal, you can rewrite 45% as 45.0%.  Then, you can move the decimal two places to the left, which is the same as dividing by 100.  You can also do standard division and you'll find the 45 divided by 100 = 0.45

Answer 3:  45/100 is not the simplest form of this fraction.  To simplify, we must find the greatest common factor of the numerator (45) and the denominator (100).  Both of these numbers can be divided evenly by 5 so 5 is the GCF of the two numbers.

Now, we divide both numbers by 5 to simplify the fraction:

45 / 5 = 9 and 100 / 5 = 20.  Thus, 45/100 reduces down to 9/20

Select any of the two answers available on your worksheet (if I'm reading what you wrote correctly, it seems like the two answer choices they provided were 9/20 and 45/100

The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.

With these details, you can calculate the fraction accurately.

Point A on the number line represents a fraction that requires additional information to determine its precise value.

I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.

A number line represents a range of values, typically with a specific scale or interval.

The scale can be divided into equal parts, such as units or fractions.

To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.

Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.

If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).

If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.

Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.

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Answer:

Step-by-step explanation:

Distribute the 4 into the parentheses.

\(-2m-8+12m-36\)

Combine like terms

\(10m-44\)

Answer:

10m - 44

Step-by-step explanation:

I hope this helps!

If AMNP is an equilateral triangle, find x and the measure of each side

So, if is equilateral triangle, then each side has the same length. First, denote each side with the following letters:

A = 4x - 25

B = x + 14

C = 6x - 51

So:

A = B = C

Then, for example, we can choose the equation A= B , that is:

4x - 25 = x + 14

moving all the terms to the left side of the equation we have:

4x - 25 - x - 14 = 0

then

(4x - x) - (25 + 14) = 0

then

3x - 39 = 0

so

3x = 39

leaving the x alone we have

x = 39 / 3 = 13

replacing this value in the sides A, B and C, we have:

Side A = 4x - 25 = 4(13) - 25 = 52 - 25 = 27

Side B = x + 14 = 13 + 14 = 27

Sice C = 6x - 51 = 6(13) - 51 = 78 - 51 = 27

That is the answer.

Answer:

157°

Step-by-step explanation:

Sum of interior angles of polygon

(n-2)*180 ---- n = total number of sides

7 angles, 7 sides

5*180 = 900

final angle will be

900-162-115-125-138-105-98

=157

Answer:

157

Step-by-step explanation:

it is obvious that it's a heptagon

so (n-2) x180

n=7

(7-2) x 180 =900

900-162-115-125-138-105-98

900-743=157

final unknown=157°

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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A table showing the number of graduates by subject from a university's faculty of natural science in 2002.

1) To calculate the number of students that graduated, find the sum of the number of graduates from each subject.

The number of students that graduated is 60.

2) To determine the sector angle that will represent the number of graduates in each subject, divide the number of graduates in each subject by the total number of students and then multiply by 360º.

3) To construct a pie chart with radius, 4cm to represent the information, draw a circle of radius 4cm and partition it into sectors with central angles as calculated in (2) above.

Therefore , the solution of the given problem of linear equation comes out to be monthly amount she applies to it is $550.

Using the formula y=mx+b, a simple regression curve is constructed. The slope is B, and the y-intercept is m. Even if y or y are separate portions, the foregoing sentence is frequently referred to as a "mathematical formula merging many variables." In bivariate linear equations, there are only two variables. Application problems involving linear equations have no known solutions.

Here,

Given :

=> $150 extra in her debt

her debt be x

y be the amount she already pays

=> amount left

=> x - y - 150

=> x- (y+150)

Let x be 1000

y be 300

=> 1000 -(300+150)

=> 1000 -450 = 550

Thus,

monthly amount she applies to it is $550

Therefore , the solution of the given problem of linear equation comes out to be monthly amount she applies to it is $550.

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Answer:

Six times negative five

Step-by-step explanation:

I hope this helped!

Answer: the answer would be negative 30 because you are multiplying the negative with the positive so you will have 6 groups of -5.

Step-by-step explanation:

There are (e) 125 positive integers that satisfy the n condition

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

(130n)^50 > n^100 > 2^200

\(\sqrt[50]{}\)[(130n)^50] > \(\sqrt[50]{}\)(n^100) > \(\sqrt[50]{}\)(2^200)

130n > n^2 > 2^4

130n > n^2 > 16

Solving each part, we get:

n^2 > 16

n > √16

n > 4

130n > n^2

130 > n^2/n

130 > n

130 > n > 4

Therefore the answer is the number of positive integers over 4 and 130 which is 129 - 5 + 1 = 125

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Correctly written question:

How many positive integers n satisfy the following condition (130n)⁵⁰ > n¹⁰⁰ > 2²⁰⁰ ? (a)0 (b)7 (c)12 (d)65 (e)125

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

Answer:

Step-by-step explanation:

Where is the equation?

Answer:

Start: x = 141°

141° and x are alternate interior angles and congruent because the lines are parallel

Go left: x = 39°

39° and x are corresponding angles, and therefore congruent

Go down: x = 139°

180 - 41 = 139, the angle next to 41 and x are corresponding angles

Go left: x = 98°

180 - 82 = 98, the angle next to 82 and x are corresponding angles

Go down: x = 102°

102° and x are vertical angles and therefore congruent

Go right: x = 50°

180 - 130 = 50, the angle next to 130 and x are corresponding angles

Go down: x = 74°

corresponding angles

Go right: x = 83°

corresponding angles

Go right: x = 95°

corresponding angles

Go up: x = 18°

corresponding angles

Go left: x = 166°

180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)

I didn't get to finish but I'll attach something that may help you

Answer: C

Step-by-step explanation:

Answer:

a) 3:4

b) It is proportional because for the glacier advances 3 feet every 4 days in both January and February

Hope this helps!

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

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Answers:

For each of the methods mentioned, they aren't biased since they have randomness built into their processes.

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Probabilities are used to determine the chances of events

The probability that event A occurs is 1/2

From the question, we have the following highlights

The above means that, the sample space of the events is;

S = {A, B}

So, the sample size is:

n(S) =2

The probability is then calculated as:

\(p = \frac{n(A)}{n(S)}\)

This gives

\(p = \frac{1}{2}\)

Hence, the probability that event A occurs is 1/2

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Answer: b

Step-by-step explanation:

Using function concepts, it is found that an appropriate domain for the function is the set of whole numbers.

The equation for the cost of buying m magazines is:

\(c(m) = 45 + 3.75m\)

The input is the number of magazines bought, which is a discrete measure, assuming values of 0, 1, 2,... Thus, an appropriate domain is the set of whole numbers.

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Answer:

NO. It does not represent y is a function of x.

Step-by-step explanation:

For a given table of values to be considered as representing a function, every domain value (x-value) must have exactly one range value (y-value). This implies that a function cannot have two y-values assigned it mapped to the same x-value.

Therefore, the table of values given does not represent a function because the x-value, 3.45 has two y-values, 1.72 and 3.36, assigned or mapped to it.

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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Answer:

Solution Steps:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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A scatter plot, because it would show the association, or relationship, between the two variables

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

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

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