Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the number of bottles of water he buys c represent his total cost

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The area of a rectangle is given by the formula A = lw, where l is the length of the rectangle and w is the width. Therefore, to find the dimensions of the rectangle, we can set up the equation 4p² + 12p = lw.

To solve this equation, we can first distribute the 4p² on the left side of the equation to get 4p² + 12p = 4p²l + 12pw. Then, we can rearrange the terms to get 12pw - 4p²l = 0.

To solve this equation for w, we can divide both sides by 4p(p - l), which gives us w = 3l/4p.

Therefore, the dimensions of the rectangle are l and 3l/4p. You can choose any value for l and then use the equation above to find the corresponding value for w. For example, if you choose l = 4, then w = 3(4)/4p = 3/p.

To draw, first, decide on a value for the length of the rectangle, l. Then, use the equation w = 3l/4p to calculate the corresponding value for the width of the rectangle, w.

Next, use the ruler or straight edge to draw two straight lines that are perpendicular to each other, forming the sides of the rectangle. The length of the rectangle should be equal to l, and the width of the rectangle should be equal to w. Make sure to label the length and width on your drawing.

The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

20.1

Step-by-step explanation:

a^2+b^2=c^2

6^2+b^2=21^2

36+b^2=441

b^2=441-36

b^2=405

sqrt of b =20.12

Answer:

It is $4.29 Step-by-step explanation:

because you need to find the price of one gallon, so you just divide the numbers $36.89 by 8.6 gallons which is 4.289 and if you round it it is $4.29 per gallon / 1 gallon.

The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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Answer:

The number of the class containing the  largest score can be found in frequency  24 and the class is  98 - 103

For the third class 78 - 83 ; the upper limit = 83

The class width for this histogram 5

The number of students that took the exam simply refers to the frequency is  84

The percentage of students that scored higher than 95.5 is 53%

Step-by-step explanation:

The objective of this question is to use the following histogram that shows the exam scores for a Pre-algebra class to answer the question given:

NOW;

The table given in the question can be illustrated as follows:

S/N           Class                Score          Frequency

1                 68  - 73            70.5           0

2                73 - 78             75.5           4

3                78 - 83             80.5           8

4                83 - 88             85.5           12

5                88 - 93            90.5           16

6                93 - 98            95.5           20

7                98 - 103           100.5          24                            

TOTAL:                                                 84

a) The number of the class containing the  largest score can be found in frequency  24 and the class is  98 - 103

b) For the third class 78 - 83 ; the upper limit = 83  ( since the upper limit is derived by addition of  5 to the last number showing  in the highest value specified by the number in the class interval which is 78 ( i.e 78 + 5 = 83))

c)   The class width for this histogram 5 ; since it  is the difference  between the upper and lower boundaries  limit of the given class.

So , from above the difference in any of the class will definitely result into 5

d) The number of students that took the exam simply refers to the frequency ; which is (0+4+8+12+16+20+24) = 84

e) Lastly; the percentage of students that scored higher than 95.5 is ;

⇒\(\dfrac{20+24}{84} *100\)

= 0.5238095 × 100

= 52.83

To the nearest percentage ;the percentage of students that scored higher than 95.5 is 53%

Answer:

1. 98-103 (6th class)

2. 88

3. 5

4. 84

5. 52%

Step-by-step explanation:

Find attached the frequency table.

The class of exam scores falls between (1, 2, 3, 4, 5, or 6).

The exam score ranged from 68-103

1) The largest number of exam scores = 24

The largest number of exam scores is in the 6th class = 98 -103

Step 2 of 5:

The upper class limit is the higher number in an interval. Third class interval is 83-88

The upper class limit of the third class 88.

Step 3 of 5:

Class width = upper class limit - lower class limit

We can use any of the class interval to find this as the answer will be the same. Using the interval between 73-78

Class width = 78 - 73

Class width for the histogram = 5

Step 4 of 5:

The total of students that took the test = sum of all the frequency

= 0+4+8+12+16+20+24 = 84

The total of students that took the test = 84

Step 5 of 5:Find the percentage of students that scored higher than 95.5

Number of student that scored higher than 95.5 = 20 + 24 = 44

Percentage of students that scored higher than 95.5 = [(Number of student that scored higher than 95.5)/(total number of students that took the test)] × 100

= (44/84) × 100 = 0.5238 × 100 = 52.38%

Percentage of students that scored higher than 95.5 = 52% (nearest percent)

Answer:

(1,-6)

Step-by-step explanation:

Answer:

The perimeter is 57.2 cm and the area is 198.73 cm^2

Step-by-step explanation:

Step 1:  Determine the perimeter

\(Perimeter = 2(l + w)\)

\(Perimeter = 2(16.7\ cm + 11.9\ cm)\)

\(Perimeter = 2(28.6\ cm)\)

\(Perimeter = 57.2\ cm\)

Step 2:  Determine the area

\(Area = l * w\)

\(Area = 16.7\ cm * 11.9\ cm\)

\(Area = 198.73\ cm^2\)

Answer: The perimeter is 57.2 cm and the area is 198.73 cm^2

Answer:

it will take 450 wave to complete

Given :

In triangle AOR and triangle KTE :

Since two sides and one included angle of these two triangles are equal, we can conclude that these triangles are congruent under the SAS congruence criterion.

Answer: 315 miles

Step-by-step explanation:

let onward speed = x mph, then distance = 7x

return speed = (x+18) mph, (same) distance = 5(x+18)

equating the two,

7x = 5(x+18)

2x = 90 ==> x = 45 mph

so distance = 7*45 = 315 miles

Answer

0.823742

Step-by-step explanation:

just a genius

Answer:

-18 is your answer

Step-by-step explanation:

To check is -18 is the right answer or not, you can just multiply -18 and -3.1 which should equal up to 55.8

Answer:

3[x + 3(4x – 5)] = (39x-15)

Step-by-step explanation:

The given expression is : 3[x + 3(4x – 5)]

We need to find the equivalent expression for this given expression. We need to simplify it. Firstly, open the brackets. So,

\(3[x + 3(4x -5)]=3[x+12x-15]\)

Again open the brackets,

\(3[x+12x-15]=3x+36x-45\)

Now adding numbers having variables together. So,

\(3[x + 3(4x - 5)]=39x-15\)

So, the equivalent expression of 3[x + 3(4x – 5)] is (39x-15).

Answer:

This is B I think if I'm wrong I'm sorry for wasting your time

Answer: It's C  19.2 Units

Got it Right on my test

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

Answer:

The First one

Step-by-step explanation:

The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

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The comparison is that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

The fractions are given as:

4/3 and 7/6

See attachment for the number line that represents both fractions

From the number line. 4/3 is at the right of 7/6

This means that:

4/3 is greater than 7/6 and 7/6 is less than 4/3

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y = -3/2 x + 24. is the equation of the line in slope intercept form.

The formula for calculating the equation of a line in point slope form is expressed as:

y - y0 = m(x - x0)

where:

m is the slope

(x0, y0) is the point on the line

Using the coordinate points (2, 9) and (4, 6). The slope is calculated as:

Slope = 6-9/4-2
Slope = -3/2

The required equation will therefore be expressed as:

y - 9 = -3/2(x - 2)

2y - 18 = -3x + 6

2y = -3x + 24

y = -3/2 x + 24

Hence the slope-intercept form of the equation is y = -3/2 x + 24.

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

The value of x from the given equation is -4/9

Let the unknown number of the expression be  such that some number minus 4 is equal to the product of the number and 10 is expressed as;

x - 4 = 10x

Collect the like terms

x - 10x = 4

-9x = 4

Divide both sides by -9

-9x/-9 = -4/9

x = -4/9

Hence the value of x from the given equation is -4/9

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The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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Answer:

Tony spent $101.

Step-by-step explanation:

11*6 = 66

7*5 = 35

66+35 = 101

Answer:

In Explanation.

Step-by-step explanation:

In situations like this, you want to first find the equations of the individual lines.

Let's start with the left one.

It has a negative slope of 2 while it has a y-intercept of 1

y=-2x+1

is the equation.

The other line has a slope of 3/2.

The y-intercept is not visible, so we need to use point slope form.

I chose (2,-3)

y+3=3/2(x-2)

Simplify.

y=3x/2-3-3

y=3x/2-6

so we have

y=-2x+1

and

y=\(\frac{3x}{2}\)-6

Since both lines are solid, the signs are ≥ or ≤

The shadings intersect above both lines so the individual shadings also have to be above the line.

That means the equation is less than the "y".

y≥-2x+1

y≥\(\frac{3x}{2}\)-6

Since he will earn $10,000 in the first year

Since he will earn $500 more each year

Then it is an arithmetic sequence

The rule of the arithmetic sequence is

a is the initial amount (10,000)

d is the constant increasing (500)

n is the time (6)

Substitute the values of a, d, and n in the explicit formula above to find how much he will earn in the 6th year

The answer is $12,500

The answer is the 2nd choice

Answer:

B. 12

Step-by-step explanation:

First, we need the degrees for A. So, cosx = 5/13    =    67.4

Now it will be easy to solve a. tan67.4° = a/5    =   12.011728511....

we round it to the nearest tenth and we get 12.

Step-by-step explanation:

By pythagoras theoram

\(c = \sqrt{a2 + b2} \)

It should be noted that two perfect squares so that the square root will fall between consecutive numbers of 0.4 and 0.5 include 0.2025 and 0.2209.

It should be noted that based on the information, we want to find two perfect squares so that the square root will fall between consecutive numbers of 0.4 and 0.5.

In this case, it should be noted that 0.45 × 0.45 = 0.2025. It should be noted also that 0.47 × 0.47 = 0.2209.

As a result, 0.2025 and 0.2209 are two perfect squares such that the square root will lie between consecutive numbers of 0.4 and 0.5.

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The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9

Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function

f(x) = 9x²- 12 for x ≥ 0.

To find the inverse of the function, we proceed as follows.

f(x) = 9x²- 12

Let f(x) = y

So, we have that

y = 9x²- 12

Adding 12 to both sides of the equation, we have that

y + 12 = 9x²- 12 + 12

y + 12 = 9x²

Dividing both sides by 9, we have that

(y + 12)/9 = 9x²/9

(y + 12)/9 = x²

Taking square root of both sides, we have that

√x² = √(y + 12)/9

x = √(y + 12)/9

Now, replacing x with y, we have that

x = √(y + 12)/9

y = √(x + 12)/9

Replacing y with f⁻¹(x), we have that

f⁻¹(x) = √(x + 12)/9

So, the inverse is p(x) = √(x + 12)/9

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