Which table shows a proportional relationship between weight and price?
Price
Weight
Price
Weight
1.5 lb
$3.50
1.5 g
$0.90
8
2 lb
$7.00
89
$4.80
Price
Weight
Price
Weight
2 kg
$0.75
2 oz
$4.00
5 kg
$3.75
4 lb
$8.00
.

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301

How to find the proportion of the tax forms?

The time required to complete a 1040r tax form = normally distributed

Mean = \(\mu\) = 100 minutes

Standard deviation  = \(\sigma\) = 15 minutes

The proportion of 1040r tax forms completed in less than 77 minutes is given by ,

P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\)  )

                = P( Z < - 1.53 )

                =0.06301

Cumulative probability in the normal distribution =0.06301 or 6.301%

What is normal distribution?

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Answer:

Oiiiiio ka cha thik cha

Answer:

is b or c I hope this help

Because EF = GH = 4, EF≅GH, Because these are vertical line segments, their are slope undefined and they are parallel. EF and GH are opposite sides that are equal and parallel. So, EFGH is a parallelogram by the definition of a parallelogram.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.

Given that E(-3,0), F(-3,4), G(3,-1),H(3,-5)

The quadrilateral is attached below.

The distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].

The length of EF is √[(-3 -(-3))² + (4- 0)²] = √4² = 4

The length of GH is √[(3 -3)² + (-1- (-5))²] = √4² = 4

Therefore, EF = GH = 4

The line segments are congruent.

The line segments are vertical, thus the slope of the line is undefined.

If opposite sides are equal and parallel, then the quadrilateral is a parallelogram.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Note that given the proof of congruence by SAS, the only thing remaining to know is that "2 corresponding sides and the corresponding included angles of both triangles are equal."

The definition of SAS Congruency is as follows:

The SAS postulate states that two sides and the included angle of one triangle are identical to the corresponding two sides and the included angle of another triangle.

As demonstrated in the triangle, the angles mCAD and mACB are congruent. Thus; m∠CAD ≅ m∠ACB

Because m∠CAD and m∠ACB are congruent, AD and BC must also be congruent. Now, because AC is shared by both triangles ABC and ADC, we get two matching equal sides with the included corresponding equal angles.

As a result, the SAS Congruence postulate is proven.

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Answer:

x = 30

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

60 + x+3x = 180

60 + 4x = 180

Subtract 60 from each side

60+4x-60 = 180-60

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

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Answer:

45

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer:  45

Step-by-step explanation:

Did the test.

Answer:

412020

Step-by-step explanation:

It is given that,

6.3% of the 6,540,000 Indiana residents were listed as Hispanic or Latino in 2012. We need to find the no of people for this.

Using the concept of percentage as follows :

\(\dfrac{6.3}{100}\times 6540000 =412020\)

Hence, there would be 412020 people.

Answer:

1

Step-by-step explanation:

Quadrilateral=4sides

Triangle=3sides

Difference=4-3=1

Answer: 2

Step-by-step explanation: 12 x 3 first becuase pemdas

Using simple Subtraction, following is the required data.

point A always begins at 45 and point B at 69,

b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be 20 units apart. (47 - 67)

c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be 28 units apart. (43 - 71)

D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be 4 units apart. (59 - 55)

e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be 0 units apart.

f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.​

We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Subtraction can be applied in a variety of real-world situations.

Assume you had five apples and your friend had three. The number of remaining apples may be determined by subtracting: 5 - 3 = 2. Therefore, you are left with 2 apples. Similar to the previous example, if a class has 16 students, 9 of them are girls, we can determine the number of boys in the class by deducting 9 from 16. (16 - 9 = 7). There are 7 lads in the class, as far as we know.

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Supplementary angles - Sum = 180°

X + Y = 180°

x = larger angle

y = smaller angle

x = 2y - 60

x + y = 180

x = 180 - y

2y - 60 = 180 - y

2y - 60 -180 + y

3y = 240

y = 80°

x+y = 180

x+80° = 180°

x = 100°

Answer:

1.5

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

The correct system of equations to model this scenario is:

x + y = 414 (Equation 1)

9x + 12y = 3780 (Equation 2)

In this system, x represents the number of children and y represents the number of adults who played that day.

Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.

Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.

Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

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The function of f and g is  (−3x − 8) ² is  (f× g)(x)

A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.

A composite function typically refers to a function that is contained within another function. The process of creating a function involves substituting one function for another. For instance, the composite function of f (x) and g is called f [g (x)]. You can read the composite function f [g (x)] as "f of g of x."

Given ,

h(x) = (−3x − 8) ²

h(x)=(f× g)(x).

(−3x − 8) ² = (f× g)(x)

Therefore  the function of f and g is  (−3x − 8) ² is  (f× g)(x)

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Answer:

\( {\huge{\boxed{\underbrace{\pink{here \: is \: your \: solutio}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{0.58x = 2.3316}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 2.3316 \div 0.58 }}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 4.02}}}}} \\ \\ \huge\mathfrak\blue{ Hope \: it \: helps...}\)

Answer:70 miles per hour

Step-by-step explanation:350 divided by 50 is 70

The percentage of the marks scored by Ravi is 72%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Ravi scored 18 marks out of 25 in a maths unit test. The percentage of the marks will be calculated as,

Percentage = ( Marks obtained / total marks ) x 100

Percentage = ( 18 / 25 ) x 100

Percentage = 0.72 x 100

Percentage = 72%

Hence, the percentage will be 72%.

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Based on the progressive tax rates, the state income tax owed on an $80,000 per year salary is $4,342.50.

With the progressive tax system, the tax rates increase as the taxable income of the eligible tax payer increases.

Thus, the progressive tax system does not impose a flat rate or amount on the tax payer.  Individuals with lower incomes pay less taxes.

Income Progressive Range ($)   Tax Rate

0 - 3000                                           2%

3001 - 5000                                     3%

5001 - 17,000                                   5%

17,001 and up                                  5.75%

Annual salary = $80,000

State Income Tax:

Income               Tax

$3,000 x 2% = $60

$2,000 x 3% = $60

$12,000 x 5% = $600

$63,000 x 5.75% = $3,622.50

$80,000   =       $4,342.50

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The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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A Parallelogram because it is a quadrilateral with 2 pairs of parallel sides!

Answer:

4/1

Step-by-step explanation:

slope = (8-4) / (3-2)

slope = 4/1