(x+2)(x+8)=0 show work

Step-by-step explanation:

let change the playing yes /no question from direct speech to direct speech

My sister asked me, "Have you seen my dog?" ____________________________________________ Vijay asked "Have you gone to market?" ____________________________________________ My mother asked, "Why are you crying?" ____________________________________________ The rickshaw puller asked me, "Do you speak English?" ____________________________________________

The equation representing this relationship is y = 1.5x and the constant of proportionality is 1.5.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s. If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Given that, the amount of flour needed for a recipe is proportional to the number of servings planned.

If a variable x is proportional to the other variable y, then the equation representing the relation is y = kx.

Here y is the amount of flour required and x is the number of servings planned.

When y = 4.5, x = 3.

4.5 = 3k

k = 4.5 / 3 = 1.5

The equation is y = 1.5 x, which represents the relationship between the amount of flour required and the number of servings planned.

Constant of proportionality is 1.5.

This means that the ratio of the y to x is a constant and is equal to 1.5.

Hence the equation representing the situation is y = 1.5x.

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Answer:  D. Sample space = 1, 2, 3

Step-by-step explanation:

Answer: D: Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape

Step-by-step explanation:

The first step is to determine the appropriate inequality sign that would be used.

Here are inequality signs and what they mean:

The inequality sign that would be used is ≤.

The form of the inequality is:

(weight of each math book x number of maths book that can be shipped) + (weight of each workbook x number of workbooks that can be shipped)  

≤ total weight that can be shipped

(3.2x + 0.8y)  ≤ 50

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Answer:

B

Step-by-step explanation:

The duration of the game was 3¹/₄ hours

To convert, multiply your number of hours by 60 to get time in minutes. Whenever we have given conversion from higher unit to lower unit then always use multiply and divide the number of minutes by 60 to get the number of hours.

Given here, game started at 8:39 PM and ended at 11:54 PM.

Therefore the duration of the game is in minutes = 21+60+60+54

                                                                                  = 195 minutes

And thus duration of the game in hours is = 195/6

                                                                      =  3¹/₄

Hence, The duration of the game was 3¹/₄ hours

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37.68 cm³ is the volume of the given figure.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We need to find the volume of the cone which has radius 3 cm and slant height 5 cm

Volume of cone=1/3πr²√S²-r²

S=5 cm and r is 3 cm

Substitute S and r value in formula

=1/3×3.14×(3)²√5²-3²

=1/3×3.14×9√25-9

=1/3×3.14×9√16

=1/3×3.14×9×4

=37.68 cm³

Hence, 37.68 cm³ is the volume of the given figure.

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The complete sentence will be;

⇒ The original sphere volume × 125 = The new sphere volume

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A sphere is dilated by a scale factor of to create a new sphere.

Now,

We know that;

The volume of sphere = 4/3 πr³

Here, A sphere is dilated by a scale factor of to create a new sphere.

So, The radius of old sphere = r

Then, The radius of new sphere = 5r

Hence, The volume of old sphere = 4/3 πr³

And,  The volume of new sphere = 4/3 π × (5r)³

                                                    = 125 (4/3πr³)

Thus, We get;

⇒ The new sphere volume = The original sphere volume × 125

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The percentage increase in the cost of the jewelry items that All That Glitters Jewelry Store uses to markup its prices to maximize its profits is as follows:

The percentage increase shows the relative differences between the original cost prices of the pieces of jewelry and their selling prices.

This percentage increase is otherwise known as the markup.

The markup shows the percent increase by which an item is sold to achieve a profit target.

The formula for computing percent increase is the Increase divided by the original amount multiplied by 100.

All That Glitters Accounting Sheet

Items             Cost     Price     Difference            Percent Increase

Initial ring      $60      $90    $30 ($90 - $60)       50% ($30/$60 x 100)

ID bracelet  $120    $240   $120 ($240 - $120) 100% ($120/$120 x 100)

Earrings        $25      $50    $25 ($50 - $25)     100% ($25/$25 x 100)

Pins               $36      $45      $9 ($45 - $36)       25% ($9/$36 x 100)

Thus, All That Glitters Jewelry Store uses different markups or percent increases to sell its goods.

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All That Glitters Accounting Sheet

Items            Cost    Price

Initial ring      $60      $90

ID bracelet  $120    $240    

Earrings        $25      $50

Pins               $36      $45

What is the percent increase for each item?

Answer:D

Step-by-step explanation: It is D because -4 is < to -2

The paper company shipped 10 small boxes and 8 large boxes.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of small boxes shipped and y represent the number of large boxes shipped.

Each small box of paper weighs 30 pounds and each large box of paper weighs 75 pounds.

A total of 18 boxes of paper were shipped, hence:

x + y = 18

y = 18 - x    (1)

Also, they weighed 900 pounds, hence:

30x + 75y = 900

but y = 18 - x, hence:

30x + 75(18 - x) = 900

30x - 75x + 1350 = 900

x = 10

y = 18 - x = 18 - 10 = 8

The company had 10 small boxes and 8 large boxes.

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Answer: the width is 24/35 square mile

Answer: 32x+20

Step-by-step explanation:

Answer:2 factors 2 terms

Step-by-step explanation:

Answer:

Adeniyi   = (2/7)

Akintola  = (4/7)

Bello     =   (1/7)

Step-by-step explanation:

Let x stand for the money that Adeniyi recieves for her share.  We can then write expressions for all the lucky recipients:

Adeniyi = x

Akintola = 2x  [Akintola gets twice as much as Adeniyi]

Bello = (1/2)x  [Bello gets half of Adeniyi's share]

The original amount is the sum of all three shares:

Total = x + 2x + (1/2)x

Total = (3+(1/2))x  or = (7/2)x

The proportions for each can be set as the ratio of the individual's amount to the total of (7/2)x.

Adeniyi = x/((7/2)x)       = (2/7)

Akintola = 2x/((7/2)x)    = (4/7)

Bello = (1/2)x/((7/2)x)    =  (1/7)

Total  =                             (7/7)

Answer:1/4 x + 2.50$

Step-by-step explanation:

Let us say pizza is x dollars

1/4 of the cost of pizza is 1/4x

plus 2.50$

1/4x+2.50

The reflection across the line x = 1 will make the coordinates of the points KLM as K'(-3, - 4), L'(1, - 2), M'(1, - 5).

Given is a triangle on the coordinate grid.

The line LM lie along the line {x} = 1. So, the reflection over the line {x} = 1 will ensure that the coordinate of L and M will remain same. The coordinates of point K will become (-3, - 4) from (3, - 4).

Therefore, the reflection across the line x = 1 will make the coordinates of the points KLM as K'(-3, - 4), L'(1, - 2), M'(1, - 5).

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The inequality equation that shows that Ella has nn nickels and dd dimes. and the worth of the coins is at most $1 altogether is

The equation to represent the information is written bearing in mind that

10 dimes  = 1 dollar = 20 nickels

2 nickels = 1 dime

let the dimes be d and the nickels be n

dd + nn ≤ $1

The term at most means not more than hence the worth of the sum of the coins will be 1$ or less.

we therefore use less than or equal to to represent the equation,

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The situation of Ella's amount in nickels and dimes altogether as an inequality is (5nn + 10dd) ≤ 100.

We shall multiply each number of coins with their value in cents and express them as an inequality less than or greater than 100cents which is the equivalent to $1.

a nickel = 5 cents

a dime = 10 cents

Ella will have;

nn nickels = 5nn cents

dd dimes = 10dd cents

and;

5nn cents + 10dd cents ≤ 100 cents

(5nn + 10dd) cents ≤ 100 cents

divide through by the unit cents, we have;

(5nn + 10dd) ≤ 100.

Therefore, Ella's amount in nickels and dimes can be written as an inequality (5nn + 10dd) ≤ 100 if she has at most $1 worth of coins altogether.

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According to the given information in the question the value of a/b is 5.

Value is a concept that is difficult to define, but it is fundamental to our lives. It is the basis for our decisions, the way we measure our success, and the way we determine what is important to us. Value is something that can be both tangible and intangible, and it is influenced by the context in which it is perceived. Value is shaped by our beliefs, experiences, and culture, and it is constantly changing. We use value to make decisions, to motivate ourselves, and to create a sense of purpose. Value is ultimately what drives us forward and helps us make sense of the world around us.

This is because when the system has an infinite number of solutions, it means that the two equations are equivalent and that any value of x and y can satisfy the equation. Since the equation 12x - 4y = 80 is the same as ax - by = 5, both equations are equal when a/b = 5.

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The efficiency of the motor rated at 2.0 hp and delivering only 1.6 hp to a transmission system is 75%

Efficiency of the machine is the ratio of the work input to the machine to the work output of the machine\

This represented mathematically as

= work input / work output * 100 / 1

Form the problem we have that

work input = motor rated at 1.5 hp

work output = motor rated at 2.0 hp

Efficiency = 1.5 / 2.0 * 100 / 1

Efficiency = 0.75 * 100 / 1

Efficiency = 75%

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The number of solutions in the equation x + 5x + 4 = 3(2x - 1) is 0

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

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

Open the brackets

This gives

x + 5x + 4 = 6x - 3

Subtract 6x from both sides of the equation

So, we have the following representation

4 = -3

Subtract -3 from both sides of the equation

So, we have the following representation

7 = 0

The above equation is false

Hence, the equation has no solution

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The relationship between the slopes of the parallel sides is m₁ = m₂.

The relationship between the lengths of the non-parallel sides is perpendicular or intersecting.

The slope of a line can be calculated by taking the tangent ratio of the angle formed by it with the x axis.

The angle between two parallel lines is zero.

This implies that they form same angle with the x-axis.

The slopes of two parallel lines are always equal to each other.

Since, the slope of a line is the tangent of the angle made by it with x axis.

Then, it can be written as m₁ = m₂.

Hence, the relationship between the lengths of the non-parallel sides;

perpendicular or intersecting.

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Answer:

-----------------------------------

The slopes of the parallel sides are equal. We can prove this by finding the slopes:

We can see the non-parallel sides have same length. Let us  prove this by finding their length:

Answer:

420 = 4.2 x 100 = 4.2 × 102

Step-by-step explanation:

Answer:

4.5 meters

Step-by-step explanation:

If the pins were placed 30 cm apart, and there were a total of 15 pins, then the length of the string is 30 cm * 15 pins = <<30*15=450>>450 cm.

To convert this length to meters, we divide the number of centimeters by 100: 450 cm / 100 = 4.5 meters.

Therefore, the length of the string is 4.5 meters.

Events A and B are dependent, because P(A)≠P(B|A). The correct option is A.

From the information, the experiment consists of rolling a standard six-sided die once. Event A is "rolling a 5 and event B is "rolling an odd number."

Events A and B are dependent because the outcome of event A (rolling a 5) affects the probability of event B (rolling an odd number). The probability of rolling a 5 is 1/6, while the probability of rolling an odd number given that you have already rolled a 5 is 0. The probability of rolling an odd number is 1/2, and thus P(A) ≠ P(B|A)

In simple terms, Events A and B are dependent because outcome of event A affects the probability of event B happening.

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The angle measure of student's favorite subject, English, is 108°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

Max conducted a survey of 60 students in which he asked about their favorite school subject. 24 students said math, 12 students said science, 18 students said English and 6 students said social studies.

The total angle of circle is 360°.

To find the angle measure of student's favorite subject, English:

The angle subtended by the category = (Amount in the Category ⁄ Total) × 360°

= 18/60 x 360

= 0.3 x 360

= 108°

The circle graph is given in the attached image.

Therefore, 108° is the angle measure of student's favorite subject, English.

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Answer:

Step-by-step explanation:

24 people

Okay so 1/3 is in front of him, and 5/8 are behind him. We can add these up and see how much is missing, which can only be 1 person, Jack.

1/3+5/8 = 23/24

We got 23/24, and there's 1 person missing, who's Jack!

24 people are in the queue.

Answer:

Median= (5+7)/2 = 6 Mean= 6 Range= 12 Mode=7

We would obtain the equation as y =7x.

We have to know that when we are talking about a direct variation, the implication of that is that the two variables would tend to be increasing at the same time.

Now, we know that;

y=8.4 when x=1.2

Given that;

y α x

Introducing the constant of proportionality;

y = kx

8.4 = k 1.2

x = 8.4/1.2

x = 7

Then the equation is;

y =7x

This is the equation that has been used to produce the graph in the image attached to the answer given here.

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The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right