Consider the following graph of an absolute value function

95.20-50=  45.20

45.20/.40= 113

they went 113 minutes over their plan

The family exceeded their plan by 113 minutes.

To find out how much time the family exceeded their plan, we need to subtract the included minutes from the total minutes used and then divide by the overage rate. The included minutes in the plan are 900, and the cost per minute over the limit is $0.40. The total amount paid by the family is $95.20. Let's calculate:

Total minutes used = Total amount paid - Cost of the plan = $95.20 - $50 = $45.20
Exceeded minutes = Total minutes used - Included minutes = $45.20 / $0.40 = 113 minutes

The family exceeded their plan by 113 minutes.

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Final answer:

The algebraic expression for 'Double the sum of 2 and x increased by one-half x squared' is 2(2 + x) + (1/2)x².

Explanation:

To translate the phrase 'Double the sum of 2 and x increased by one-half x squared' into an algebraic expression, we break it down into parts:

The sum of 2 and x is given by the expression (2 + x).

Double this sum can be written as 2(2 + x).

One-half x squared is written as (1/2)x².

Increasing the doubled sum by one-half x squared means adding (1/2)x² to it.

Therefore, the complete algebraic expression is 2(2 + x) + (1/2)x².

Regarding the concept of squaring of exponentials, remember that when you square a term like x², you are effectively raising x to the power of 4 because the exponents are multiplied.

I'm not sure what you mean when you say "You think it is easy but it is really hard".

Tones has the greatest number. So in this case tones has more base ball cards than Jessica. Hope this helps!!!! Good luck!!!!

how should anyone know this

Answer:

The independent variable is the time spent petting an animal, and the dependent variable is the stress level.

The independent variable is time, and the dependent variable is the population of field mice.

The independent variable is the number of floors ascended, and the dependent variable is the height of the elevator.

Let

x---------> the number of child tickets

y--------> the number of adult tickets

we know that

the equation that describes the relationship between the number of child tickets and the number of adult tickets  is a linear equation

If the point[tex](4,2)[/tex] is the solution

then

the number of child tickets is [tex]4[/tex]

the number of adult tickets is [tex]2[/tex]

therefore

the answer is

the  solution [tex](4,2)[/tex] represent that

the number of child tickets is [tex]4[/tex]

the number of adult tickets is [tex]2[/tex]

The solution (4, 2) means Olivia purchased 4 child tickets and 2 adult tickets at the movies for a total of $46.

The student's question involves interpreting the solution to a linear equation in the context of purchasing movie tickets. The specific solution given is the ordered pair (4, 2). In the context of the problem described, the number '4' represents the quantity 'x', which is the number of child tickets purchased, and the number '2' represents the quantity 'y', which is the number of adult tickets purchased. Therefore, the solution (4, 2) means that Olivia purchased 4 child tickets and 2 adult tickets at the movies for a total expenditure of $46.

Width=19

Length=17

72-4=68/2=34/2= 17 length

72-4=68+4=38/2=19 width

C. <2 is the correct answer

Answer:

Weight of parcel to the nearest whole kilogram = 6 kg

Explanation:

 Weight of parcel = 12 lbs 8 oz

 1lb = 16 oz  also we have 1lb = 454 g

 Weight of parcel = 12 lbs 8 oz = 12 + (8/16) lbs = 12.5 lbs

  Weight of parcel in g = 12.5*454 = 5675 g

  Weight of parcel = 5675 g = 5.675 kg

  Weight of parcel to the nearest whole kilogram = 6 kg

To convert the weight of a 12 lbs 8 oz parcel to kilograms, you first convert the weight to ounces, then to grams, and finally to kilograms. The final conversion results in a weight of approximately 5.67 kg, which is rounded to the nearest whole number as 6 kg.

The weight of a parcel can be converted from pounds and ounces to kilograms using a two-step process. First, you need to convert the entire weight into ounces, and then convert that result to grams. Finally, convert grams to kilograms.

To convert 12 lbs 8 oz to ounces, calculate as follows: (12 lbs × 16 oz/lb) + 8 oz. This equals 192 oz + 8 oz = 200 oz.

To convert ounces to grams: 200 oz × 28.35 g/oz gives 5670 g.

To find the weight in kilograms, divide the number of grams by 1000, because 1 kg = 1000 g. So, 5670 g ÷ 1000 g/kg gives 5.67 kg. To the nearest whole kilogram, the package weighs 6 kg.

[tex]6\frac{2}{3} = \frac{3(6) + 2}{3} = \frac{20}{3} miles[/tex]

[tex]1\frac{1}{3} = \frac{3(1) + 1}{3} = \frac{4}{3} miles/day[/tex]

[tex]\frac{20}{3} miles[/tex] ÷ [tex]\frac{4}{3} miles/day[/tex]

= [tex]\frac{20(miles)}{3}[/tex] * [tex]\frac{3(days)}{4 (miles)}[/tex]

= [tex]\frac{20(3) days}{3(4)} = \frac{20 days}{4} = 5 days[/tex]

Answer: 5 days

Answer:

7/4  or 3

Step-by-step explanation:

To determine the slope of the line , we look at the position of the line

From the given graph , the line goes up

When line goes up , the slope is positive

when a line goes down , the slope is negative

If we have a vertical line then slope is undefined

For horizontal line the slope is 0

Here the line goes up, so slope is positive

We pick the slope from the given option that is positive

7/4  or 3

Any fraction that, when dividing the numerator and denominator, it'll give you 4.

For example:

8/2, which, when divided: 8/2 = 4

16/4, which, when divided: 16/4 = 4

hope this helps

~Rise Above the Ordinary

Final answer:

After comparing the fractions of the chocolate cake (5/12) and the marble cake (1/2 or 6/12) eaten by the family, it's clear that they ate more marble cake as 6/12 is greater than 5/12.

Explanation:

Jared cut a chocolate cake into 12 equal parts and a marble cake into 6 equal parts. After his family ate 5 slices of chocolate cake and 3 slices of marble cake, we want to determine which type of cake they ate more of. To compare the quantities directly, we consider the size of each individual slice. A chocolate cake is cut into 12 pieces, so each slice represents 1/12 of the full cake. The marble cake is cut into 6 pieces, meaning each slice is 1/6 of the entire cake. Therefore, when the family ate 5 slices of chocolate cake, they consumed 5/12 of the chocolate cake, and consuming 3 slices of marble cake equates to 3/6, or 1/2 of the marble cake.

To compare these fractions, we can notice that 1/2 is equivalent to 6/12 when converted to have a common denominator. Comparing 5/12 and 6/12, it is clear that 6/12 is greater. Thus, the family ate more marble cake than chocolate cake.

The inequality to describe S, the weight of the special sundae in kilograms, at Ping's Ice Cream Palace is S > 2, indicating the sundae weighs more than 2 kilograms.

The question involves creating an inequality to describe the weight of a special sundae, S, at Ping's Ice Cream Palace. Since the sundae contains over 2 kilograms of ice cream, this means the weight of the sundae is greater than 2 kilograms. However, since there can be any number of toppings, there is technically no upper limit to the weight. Therefore, the inequality to describe S, the weight of the special sundae in kilograms, would be:

S > 2

This inequality indicates that the weight of the sundae is strictly more than 2 kilograms, considering the ice cream and any added toppings.

The area of the park is 2.45 acres.

The area of a park is determined to be exactly halfway between 2.4 acres and 2.5 acres. To find this midpoint or average, we add the two values together and then divide by 2.

First, we add 2.4 acres and 2.5 acres:

2.4 acres + 2.5 acres = 4.9 acres

Now, we divide this sum by 2 to find the midpoint:

Midpoint = 4.9 acres / 2 = 2.45 acres

Therefore, the area of the park is 2.45 acres. This means that it is precisely halfway between the two given values.

Understanding the midpoint or average is essential in various contexts, such as real estate, land measurement, and statistical analysis. In this case, it signifies that the park occupies an area that is equidistant from 2.4 acres and 2.5 acres. It can be seen as a balanced point between these two values, serving as a useful concept for situations where precision or fairness is required, such as in property assessments or distributing resources evenly.

Learn more about acres here:

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y+6=1/3(x-9)

Moved all terms from left to right that doesn't contain y

Y=-6 +1/3x-3

Simplify

Y=1/3x-9

Your answer is c.

Answer: [tex]y=\dfrac{1}{3}x-9[/tex]

Step-by-step explanation:

The equation of a line in slope -intercept form is written as :-

[tex]y=mx+c[/tex]

The given equation : [tex]y+6=\dfrac{1}{3}(x-9)[/tex]

To write the given equation in slope - intercept form , we need to first solve the right -hand sides in the equation.

[tex]y+6=\dfrac{1}{3}(x-9)\\\\\Rightarrow\  [tex]y+6=\dfrac{1}{3}x-3\\\\\Rightarrow\ y=\dfrac{1}{3}x-3-6\\\\\Rightarrow\ y=\dfrac{1}{3}x-9[/tex]

Hence, the equation written in slope-intercept form :  [tex]y=\dfrac{1}{3}x-9[/tex]

Answer:

Step-by-step explanation:

Kendra buys  x pounds lettuce.

If lettuce costs $2.25 per pound.

Then for x pounds of lettuce,

cost=2.25x

Kendra buys  y pounds tomatoes.

If tomatoes costs $2.65 per pound.

Then for y pounds of tomatoes,

cost=2.65y

So, total cost=2.25x+2.65y

Now, this total cost will be at least  $8

So, the inequality is-

[tex]2.25x+2.65y\geq8[/tex]

The problem can be represented by the inequality [tex]2.25x + 2.65y \geq 8[/tex] where x is the number of pounds of lettuce Kendra buys and y is the number of pounds of tomatoes she buys. The total cost of the vegetables equals or exceeds $8.

In this situation of buying lettuce and tomatoes, the cost of lettuce per pound is $2.25 and the cost of tomatoes per pound is $2.65. Kendra spends at least $8 on lettuce and tomatoes. Let x represent the number of pounds of lettuce that Kendra buys and let y represent the number of pounds of tomatoes that she buys. Understanding the problem, the inequality that represents this situation is

[tex]2.25x + 2.65y \geq 8[/tex]. This is because each pound of lettuce ('x') is multiplied by its cost, and each pound of tomatoes ('y') is multiplied by its cost. If Kendra spends at least $8, then the total cost equals or exceeds $8.

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Final answer:

The distance formula calculates the straight-line distance between two points on a coordinate plane using the Pythagorean theorem, which is applied to the differences in the x and y coordinates of the points to form a right triangle.

Explanation:

Explaining the Distance Formula

The distance formula is a way to calculate the straight-line distance between two points in a coordinate plane. This formula is derived from the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In other words, a² + b² = c².

To understand the distance formula, consider two points (x1, y1) and (x2, y2) on a coordinate plane. The difference in the x values (x2 - x1) and the y values (y2 - y1) represent the lengths of the legs of a right triangle, where the straight-line distance we are trying to find is the hypotenuse. Thus, by the Pythagorean theorem, the distance (d) can be found by taking the square root of the sum of the squares of these differences. The resulting distance formula is d = √((x2 - x1)² + (y2 - y1)²).

The distance formula logically extends the Pythagorean theorem to two-dimensional space, where distances on the plane are calculated irrespective of the orientation or position of the line connecting the two points.

(2n - 9) - 5(-2.4n + 4)    use distributive property

= 2n - 9 + (-5)(-2.4n) + (-5)(4) = 2n - 9 + 12n - 20   combine like terms

= (2n + 12n) + (-9 - 20) = 14n - 29

Hello!

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

[tex](2n-9)-5(-2.4n+4)[/tex]

First, remove parenthesis.

[tex]2n-9-5(-2.4n+4)\\[/tex]

Secondly, expand.

[tex]-5(-2.4n+4):12n-20[/tex]

Third, apply the distributive law.

[tex]a=-5, b=-2.4n, c=4[/tex]

[tex]=-5(-2.4n)+(-5)*4[/tex]

Then, apply minus-plus rules.

[tex]5*2.4n-5*4[/tex]

Simplify.

[tex]5*2.4n-5*4:12n-20[/tex]

Multiply by the numbers.

[tex]5*2.4=12[/tex]

[tex]12n-5*4[/tex]

Again, multiply by the numbers.

[tex]5*4=20[/tex]

[tex]12n-20[/tex]

[tex]=2n-9+12n-20[/tex]

Simplify.

[tex]2n-9+12n-20:14n-29[/tex]

Group like terms.

↓↓↓↓↓↓↓↓↓↓↓

[tex]=2n+12n-9-20[/tex]

Add similar elements.

[tex]2n+12n=14n[/tex]

[tex]=14n-9-20[/tex]

Subtract by the numbers.

[tex]-9-20=-29[/tex]

[tex]=14n-29[/tex]

Answer⇒⇒⇒[tex]=14n-29[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

15 * 28 = 420. Should be your answer.

Answer: The required expression will be

[tex]\frac{6000-p}{24}[/tex]

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on  present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

[tex]250-\frac{p}{24}\\\\=\frac{6000-p}{24}[/tex]

Hence, the required expression will be

[tex]\frac{6000-p}{24}[/tex]

To calculate how much money Liam has left, subtract the cost of the present from his initial amount of money. The expression that represents this is $250 - ($p/24).

To find out how much money Liam has left after buying the present, we need to subtract the cost of the present from the initial amount of money Liam had. The cost of the present can be calculated by dividing the total cost by the number of classmates, which is 24. So, the cost of the present is $p/24. Therefore, the expression that represents how much money Liam has left is:

$250 - ($p/24)

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The eighth grade class at grade school has 15 girls and 14 boys. The different boy-girl dates that can be arranged is 210 boy-girl.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The eighth grade class at grade school has 15 girls and 14 boys.

The different boy-girl dates can be arranged

15 x 14 = 210

210 boy-girl

Hence, The different boy-girl dates that can be arranged is 210 boy-girl.

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To determine how many different boy-girl dates can be arranged from 15 girls and 14 boys, multiply the number of boys by the number of girls, leading to 210 different boy-girl dates.

The question asks how many different boy-girl dates can be arranged if an eighth-grade class has 15 girls and 14 boys. To solve this, we can use the concept of multiplication principle in combinations. Each boy in the class has the option to date any of the 15 girls. This means each of the 14 boys has 15 choices for who to date. Therefore, to calculate the total number of distinct boy-girl date arrangements, we multiply the number of boys by the number of girls they can potentially date.

Calculating: 14 boys × 15 girls = 210 different boy-girl dates can be arranged.

This simple calculation shows how combinations are used to determine possibilities in everyday scenarios, reinforcing the importance of basic arithmetic skills in problem-solving.

Answer:

The correct answer would be C = 533,800

Step-by-step explanation:

The formula for circumference is C = 2πr. To find the radius you must divide the diameter by 2.

Radius = 85000

now we have C = 2 * 85000 * 3.14

C = 533,800

Scientific Formula = 5.338 x 10^6

GIVEN: y = 3x + 5

--> slope of given line = 3

--> This means that your equation must have the same slope, or "m"

FORMULA OF A LINE: y = mx + b

--> Use point-slope form to find "b"

POINT SLOPE FORM: y - y₁ = m ( x - x₁ )

--> Plug in your given point AND the slope of the given line

y - 5 = 3 ( x - 4 )

y - 5 = 3x - 12

y = 3x - 7

The 2x means "2 times x". We can write it as "2*x" to be more clear that we're using multiplication. Two times some number is larger than 6. To figure out the possible numbers, we divide both sides by 2

[tex]2x \ge 6[/tex]

[tex]\frac{2x}{2} \ge \frac{6}{2}[/tex]

[tex]x \ge 3[/tex]

So x can be 3 or larger

one lap is .05 km so it will take 20 laps