Find the slope of the line that passes through (5, 8) and (2, 4).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer:

Step-by-step explanation:

If Joseph earns 252.50 working 35 hours, that means his hourly rate is $7.50.  If he works 8 hours, he will multiple the hourly rate, 7.50 x 8 = 60.

Answer: $88

x/55 is the same as 60%/1005 so 55 x 60 / 100 = 33 which is the mark up then add 55 and 33 to get the total price

Answer:

Price of shoes after markup is $88

Step-by-step explanation:

$55 + %60 markup or

55 x .60 = $33

55 + $33= $88

Jacob has a tree growing in his yard. if the tree grows 9.5 feet per year, 9.5 inches  does it grow in a month.

From the question, we have

Tree grows 9.5 feet per year

9.5 feet = 114 inches

Tree grows in one month = 114/12

= 9.5 inches

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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Answer: 45.563

Step-by-step explanation:

The 6th term of the geometric progression is given by a₆ = 729 / 16

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the 6th term of the geometric progression be a₆

Now , the first term of the GP is a₁ = 6

Let the second term of the GP be a₂ = 9

So , the common ratio of the GP is r = second term / first term

Substituting the values in the equation , we get

The common ratio r = 9/6 = 3/2

Now , the 6th term of the geometric progression a₆ = arⁿ⁻¹

On simplifying the equation , we get

The 6th term of the geometric progression a₆ = 6 ( 3/2 )⁵

The 6th term of the geometric progression a₆ = 6 ( 243 / 32 )

The 6th term of the geometric progression a₆ = 729 / 16

Hence , the 6th term of the GP is 729/16

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Answer: 29 divided by 5123 is 0.005

I hope this helps :) (if not correct ask another person)

Answer:

28

Step-by-step explanation:

Since 42 tomatoes were picked, we can take the reciprocal (the reversed fraction) of the 9:6 ratio and make it 6:9, then multiply 42 by 6/9.

4(5x-2) = 2(9x + 3)

distribute

20x-8 = 18x + 6

add 8 to both sides

20x = 18x + 14

subtract 18 x

2x = 14

divide by 2

x = 7

verify if true

4(5*7 - 2) = 2(9*7+3)

132 = 132

x does = 7

hope this helps

jeron

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Given equation,

→ 4(5x - 2) = 2(9x + 3)

Now the value of x will be,

→ 4(5x - 2) = 2(9x + 3)

→ 20x - 8 = 18x + 6

→ 20x - 18x = 6 + 8

→ 2x = 14

→ x = 14/2

→ [ x = 7 ]

Hence, the value of x is 7.

Answer:

Dilation

Step-by-step explanation:

The blue figure is larger than the red figure. It wasn't moved, reflected, or rotated. So the only answer is a dilation since dilations involve the size of figures.

By using the concept of probability, it can be calculated that

Probability that a flood of the same size will occur in the following year = [tex]\frac{1}{50}[/tex]

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

50-year flood occurs on the mississippi river in a given year

Probability that a flood of the same size will occur in the following year =  [tex]\frac{1}{50}[/tex]

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Answer:

The coordinate plane

Step-by-step explanation:

Graph the line [tex]y=-x+10[/tex] with a dotted boundary and shade the region above the line.

Answer: 227/ 60 = 3 47/60 OR 3.783

Note: If you don't get the right answer because of the extra 3 in 3.783 then simply remove the extra 3 at the end.

Explanation:

Step 1: Multiply the whole number 2 by the denominator 6. Whole number 2 equally.

Step 2: Add the answer from the previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

Step 3: Write a previous answer (new numerator 17) over the denominator 6

Message: If you found this helpful let me know by giving a thanks! :)

The value of the algebraic expression 11.1p + 10.5r  at p = 6 and r = 7 is 140.1

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.1p + 10.5r

We have to find the value of the algebraic expression at p = 6 and r = 7

Putting x = 6 and y = 7 in the algebraic expression,

[tex]11.1 \times 6 + 10.5 \times 7[/tex]

66.6 + 73.5

140.1

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The congruence theorem that will prove △BDA and △DBC is A. Hypotenuse-leg (HL) congruence.

Determining the right congruence theorem that will prove △BDA and △DBC after being provided a schematic of two right triangles.

Since we are aware that the hypotenuse-leg theorem stipulates that if the hypotenuse and one of the right triangles' legs are congruent with their equivalent hypotenuses in other right triangles, the triangles are said to be congruent.

We can see from our diagram that hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.  

We can see that triangles BDA and DBC share a common side DB.

Using Pythagorean theorem we will get

CD² = DB²+BC²

AB = DB²+AD²

given that CD=AB, Upon using this information we will get,

DB²+BC² = DB²+AD²

subtracting DB² from both sides of our equation we will get,

BC² = AD²

Cutting squares on both sides

BC = AD

Hence, by HL congruence △BDA ≅ △DBC.

Note that the full question is:

Which congruence theorem can be used to prove △BDA ≅ △DBC?

A. HL

B. SAS

C. AAS

D. SSS

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Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles. When A rental car company charges $22. 50 per day to rent a car and $0. 10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given

Although your question is incomplete, you might be referring to the following in its entirety: Renting a car from a rental car agency costs $22.50 per day plus $0.10 every mile driven. Salma wants to rent a car because she knows she will go 275 kilometres. She can only spend up to $140. The number of days Salma can rent the car for while staying within her budget can be calculated by writing and solving an inequality.

The formula that solves this issue is:

Let x represent how many days Salma can afford to rent the automobile for.

Inequality

22.5x + 0.10(275) ≤ 140

22.5x + 2.75 ≤ 140

22.5x ≤ 140 - 2.75

22.5x ≤ 137.25

x ≤ 5

automobile rental on a daily basis get x <= 5

Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles.

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The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

In a specific country, the levels, and profundities of a street are estimated comparable to the ocean level. The ocean level has a worth of 0. The absolute bottom of the nation lies at −8 feet. The most elevated mark of the nation lies at +107 feet.

The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.

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The missing option is given below.

A) The lowest point is 8 feet above sea level, and the highest point is 107 feet below sea level.

B) The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.

C) The lowest point is 8 feet below sea level, and the highest point is 107 feet above the lowest point.

D) The lowest point is 8 feet above sea level, and the highest point is 107 feet below the lowest point.

The y-intercept of any linear equation is the point where the line crosses the y-axis. The y-intercept of 7x 4y 8 is (0, -2).

We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y.

7x 4y 8 = 0

4y = -8

y = -2

The y-intercept is (0, -2).

The y-intercept of any linear equation is the point where the line crosses the y-axis. We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y. This gives us 4y = -8, which can be rearranged to y = -2. This means that the y-intercept of 7x 4y 8 is (0, -2).

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If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

In triangle ΔABC, ∠B = (12x − 26)°, and the measure of the exterior angle to ∠B is (7x − 22)°.

The sum of the interior and exterior angles will be 180°. Then the equation is given as,

(12x − 26)° + (7x − 22)° = 180°

12x - 26 + 7x - 22 = 180

19x - 48 = 180

19x = 228

x = 12

Then the measure of the angle ∠B will be given as,

∠B = 12 (12) - 26

∠B = 144 - 26

∠B = 118°

If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.

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Answer:

118

Step-by-step explanation:

(12x - 26)

12x - 26 + 7x - 22 = 180

12x  + 7x + 26 - 22 = 180 (add 26 and 22 together)

19 - 48

180 + 48

228/19 = 12

(12x(12) - 26)

12 x 12 = 144 - 26 = 118

118 is your answer deer (lol corny joke)

The missing measure in the triangle is 46°

Given: a triangle with angles 66°, 68° and a missing measure of x°

Since the sum of angles in a triangle is 180°. We have:

66°+ 68° + x° = 180°

134 + x = 180

x = 180 - 134

x = 46°

Thus, the missing number is 46°

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Answer:

Step-by-step explanation:

a:5

b:8

d:20

E:20

Examples of numbers that are rational number but not natural

-4, -5, 4/5, 0.89, 0.

Rational Numbers:

A type of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other such numbers are a few examples of rational numbers. The number "0" is also a rational number because there are many ways to represent it, including 0/1, 0/2, 0/3, etc. However, since they give us infinite values, 1/0, 2/0, 3/0, etc. are illogical. Check the irrational numbers here as well and contrast them with the rational ones.

Natural Number:

All positive integers from 1 to infinity are included in the number system, which also includes natural numbers, which are also used for counting. There is no zero included (0). In fact, counting numbers are 1, 2, 3, 5, 6, 7, 8, 9, etc.

Real numbers, which only include the positive integers 1, 2, 3, 4,5, and 6, are made up of natural numbers. Negative numbers, fractions, decimals, and zero are not included.

Notably, zero and negative numbers are not considered to be natural numbers.

Few examples of numbers that are rational number but not natural

-4, -5, 4/5, 0.89, 0.

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Max() is a method.

max() is a static method of Math , we always use it as Math.max() , rather than as a method of a Math object you created.

Static Method

A static method  is a method defined as a member of an object but is accessible directly from an API object's constructor, rather than from an object instance created via the constructor.

Sometimes a method performs a task that does not depend on the data of any object . Such a method applies to the class in which it's declared as a whole and is known as a static method.

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The value of their vertical distance at a horizontal distance of 6 feet is 2 feet

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

The equation of the function: y = -1/3x + 4

The above equation is a linear function

A linear function is represented as

y = mx + c

Where

slope = m and y-intercept = c

From the question, we have

x-axis = ground distance

y-axis = one of the poles

When the horizontal change is 6 feet, it means that

x = 6

So, we have

y = -1/3 x 6 + 4

Evaluate the products

y = -2 + 4

Evaluate the sum

y = 2

Hence, the vertical distance is 2 feet

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Answer:

90000

Step-by-step explanation:

90 times 1000

= 90 × 1000

= 90000

Answer:9000

Step-by-step explanation:

the intersection of two planes 1⃣ point 2⃣ segment 3⃣ straight line 4⃣ plane has The intersection of two planes is a straight line.

When two planes intersect each other, the intersection of two plane is a line. This line is formed by the points that satisfy the equations of the two planes.When two planes intersect each other, their intersection is a straight line. This line is determined by the points which are common to both planes and which satisfy the equations of the two planes. The line is the shortest path between any two points on the surface of the planes.

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0.4 ,40%  the decimal value and the percent of the number of pin knocked down in relation to a perfect core.

Every decimal is indeed a number that is divided into two parts: a whole and then a fraction. Between integer, numeric values are used to express the numerical value of complete and partially whole amounts.

Bowling's ideal score is 300 points.

You learn down pins in 10 frames, which is 120.

Finding the decimal value and the percentage of knocked-down pins in relation to a perfect score is necessary.

120/300 pins must be known down for a perfect score.

0.4 know-down pins are required for a perfect score.

Consequently, the decimal representation of the number of pins removed in relation to a perfect score is equal to 0.

We will increase the decimal value of the number of known down pins necessary for a perfect score by 100 to determine the percentage.

Pins needed to be known down for a perfect score: 0.4% of 100

40% of pins must be known down for a perfect score.

As a result, 40% of the known down pins are necessary for a perfect score.

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There is a inverse relationship between the size of the distance between two light sources and the locations of maxima y n.

We can relate the distance between the two light sources d and location of maxima y n by a formula:

d = nλL y n

here nλL = constant then d = constant

y n d ∝ 1 y n

As they have inverse relation.

So the if we increase the distance between the two source lights then the location of the maxima will decrease.

An inverse relationship is one in which the value of one parameter tends to decrease as the value of the other parameter in the relationship increases. It is often described as a negative relationship.

An association between two variables such that they rise and fall in value together is known as Direct relationship.

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The solution to the given expression -5 5/8 + 3 1/2 is -2 1/8.

Given the expression in the question;

-5 5/8 + 3 1/2

First, convert the mixed fraction into an improper fraction.

-(5×8 + 5)/8 + (3×2 + 1)/2

-(40 + 5)/8 + (6 + 1)/2

-(45)/8 + (7)/2

-45/8 + 7/2

Now, write 7/2 as fraction with common denominator as -45/8 by multiplying by 4/4

-45/8 + ( 7/2 × 4/4 )

-45/8 + ( 28/8 )

-45/8 + 28/8

Next, combine the numerators over common denominators

( -45 + 28 )/8

( -17 )/8

Covert back to mixed fraction

-2 1/8

Therefore, the result of the summation of the expression is -2 1/8

Option C is the correct answer.

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Answer: 2

Step-by-step explanation:

GCF is the most significant common factor of a group of numbers! In this case, 2 is the GCF!