A school district receives a donation of 15,000 pencils. At one of the middle school in the district, there are 4 math classes. At each of the other three middle schools in the district, there are 6 math classes each. Each math class gets the same number of pencils. How many pencils does each math class get?

The slope of the straight line is -1/2 whereas the y-intercept is 3/8.

Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.

Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.

y = mx + b

Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.

The given equation is;

4x + 8y = 3

Re-arranging the equation;

8y = -4x + 3

Divide the whole equation by 8.

y = -4x/8 + 3/8

Further simplifying;

y = -x/2 + 3/8

Comparing the result with the general form of equation.

m = -1/2; which is the slope.

c = 3/8; which is the y-intercept.

Thus, the values for slope and y-intercept are estimated.

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The correct question is-

Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.

Answer: The maximum is 18 and the minimum is 14. He should rent at least 3 tables.

Step-by-step explanation:

When there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be 3 tables.

It should be noted that the expression given is illustrated as:

|25x-400|= 50

25x = 50 + 400

25x + 450

Divide

x = 450/25

x = 18

The maximum number of guests will be 18.

The minimum number will be:

25x = 400 - 50

25x = 350

Divide

x = 350/25

x = 14

The minimum number is 14.

Therefore, when there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be:

= 18 / 7

= 3 tables approximately.

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Answer:

a) [tex]x=\frac{15}{p}[/tex]

b) x=[tex]-3[/tex]

Step-by-step explanation:

First, you distribute the 4 to open the parentheses.

[tex]4px+4=64[/tex]

Subtract 4 to both sides:

[tex]4px=60[/tex]

Divide by 4p on both sides:

[tex]x=\frac{60}{4p}[/tex]

[tex]x=\frac{15}{p}[/tex]

For the second part, substitute the value of p.

[tex]x=\frac{15}{-5}[/tex]

[tex]x=-3[/tex]

The variance and standard deviation for the frequency of pupils per teacher in some states of US is; Variance= 4.62 = 4.6 and Standard Deviation = 2.14 = 2.1

Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data.

The standard deviation(σ) of a random variable, is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.

That means;

Standard Deviation = √variance.

For the given data the sum of frequencies = 1+16+11+7+1+2= 38.

Midpoint is 12,15,18,21,24,27.

ni x mi = 12,240,198,147,24,54.

Sum of ni + mi = 675.

Mean (u) =  17.76

mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.

(mi - u)² is 33.17,7.61,0.057,10.49,38.93,85.37.

Sum of (mi - u)² = 175.62.

Variance = Sum of (mi - u)² / sum of frequencies

= 175.62/38

= 4.62 = 4.6.

Standard deviation = √variance.

= √4.62

= 2.14 = 2.1.

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Answer:

1. 7/8

2. 1/2

Step-by-step explanation:

y2-y1 /x2-x1 = slope

1. points: (-4,-4) and (4,3)

M = (3+4)/(4+4)

M=7/8

2. points: (-5,-3) and (3,1)

M = (1+3)/(3+5)

M = 4/8 or 1/2

Answer:

the predicted number of physician assistants after ten years is 77840.

Step-by-step explanation:

The number of people employed as physician assistants today is 56,000.

increment in employment =39%

after 10 years

total physicians=  56000*(1+0.39)  

[ total =initial + profit]

[profit =profit*initial]

=77840

the predicted number of physician assistants after ten years is 77840.

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Answer: 729x^6

Step-by-step explanation: I got this answer because I first multiplied the 3^3 which is 27

then the equation is 27x^3 times 3^3x^3. Then you do the same thing on the other side which is 27x^3. So 27x^3 times 27x^3. After that you multiple 27 and 27 which is 729, don’t forget your x^3 and x^3 which is x^6 so your answer is 729x^6.

The number of dimes that we have are 3, the number of nickels are 6 and the number of quarters are 5.

Let the number of dimes be x.

So, we get that:

The number of quarters will be = x + 2

The number of nickels will be = 2 x

Now, 1 dime = $0.10.

1 nickel = $ 0.05

1 quarter =  $ 0.25

Amount of dimes = 0.10 x

Amount of nickels = 0.10 x

Amount of quarters = 0.25 x + 0.5

Total amount of coins = $ 1.85

So, we get the equation as:

0.10 x + 0.10 x + 0.25 x + 0.5 = 1.85

0.45 x = 1.35

x = 135 / 45

x = 3

Dimes = 3

Nickels = 6

Quarters = 5

Therefore, we get that, the number of dimes that we have are 3, the number of nickels are 6 and the number of quarters are 5.

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Answer:

B. 0,3

Step-by-step explanation:

[tex]\texttt{Identify the zeros of the function}:f(x)=x^2-3x[/tex]

The roots are the x values in which where the graph intersects the x-axis. In order to solve, we will need to find the roots by replacing y with 0. In the end, we will solve for x.

= 0,3

Use the vertical line test to determine whether a graph represents a function or not .

If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is a relation but not a function.

A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.

what is function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.

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Answer:

F=9/5c+32

Step-by-step explanation:

Multiply both sides by 9/5 to cancel out the 5/9 on the right side of the equation. This gives you:

9/5C = F-32

C=F−32

Then add 32 to both sides, giving you:

9/5C + 32 = F

C+32=F

Thus, you have:

F= 9/5C + 32F=

5

9

C+32

Answer:

[tex]F= \frac{9}{5}C + 32[/tex]

Step-by-step explanation:

Multiply both sides by 9/5 to cancel out the 5/9 on the right side of the equation. This gives you:

[tex]\frac{9}{5}C = F-32[/tex]

Then add 32 to both sides, giving you:

[tex]\frac{9}{5}C + 32 = F[/tex]

Thus, you have:

[tex]F= \frac{9}{5}C + 32[/tex]

Answer:

see explanation

Step-by-step explanation:

the y- intercept 8 occurs when time = 0

that is it was 8° F when recording began at time = 0

Answer:

12.5 %

Step-by-step explanation:

There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%

Answer:

3.875

Step-by-step explanation:

The way you can do this is if you change 3 7/8 into a improper fraction.

3 7/8

To make improper fraction, you do 8x3+7 and that will be your numertor and 8 will be your denomintator. Then you will get 31/8. Now you do 31 dived by 8. That should igve you 3.875.

Let me know if this helps!! :)

The value of 4 gal 6 qt 112 oz expressed in standard notation is; 6.375

Standard notation of a number is defined as when a number is written with only number digits. This is the typical way to write numbers since words are not used in standard number notation.

Now, from conversions, we know that;

1 oz = 0.0078125 gallons

1 qt = 0.25 gallons

Thus, 4 gal 6 qt 112 oz expressed in gallons is;

4 + (6 * 0.25) + (112 * 0.0078125)

= 4 + 1.5 + 0.875

= 6.375

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Step-by-step explanation:

We will assume “a number” is “a”. When it is cubed it will be represented by

= “a³”.

When we multiply the number with 5 then the new cube will be

= (5a)³

Now distribute the exponent to the factors inside the parentheses.

= 125a³

What happens in the parentheses is 5*5*5 = 125

a*a*a = a³

So by multiplying your number with 5 it gets increased by 125 times.

Answer:

No, it is not true.

Perpendicular lines meet one another at 90°​.

Answer:

It is false

Step-by-step explanation:

It is false because perpendicula line meet in 90 degree

The common denominator represent the value  is X<2.7.

Get every x term on the right side and every constant term on the left to begin.

1/5+1/3 X>1/2 X-1/4

1/5+1/4+1/3 X>1/2 X

1/5+1/4>1/2 X-1/3 X

The two halves of a fraction are the numerator and the denominator. Any arithmetic operation involving two or more fractions, such as addition or subtraction, is possible if the denominators of the two fractions are the same. To this, the phrase "common denominator" relates.

When two fractions have the same denominator, we refer to them as having common denominators. Common denominators facilitate fractional operations like comparison, addition, and subtraction.

Give common denominators to the terms on each side now.

4/20+5/20>3/6 X-2/6 X

9/20>1/6 X

By multiplying both sides by 6, we may now.

27/10>X

2.7>X

Hence, the common denominator value is X<2.7.

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The equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].

A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.

For calculating the slope, the formula used is [tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }[/tex]

From the graph we see that the points are (4,0) and (0,-1).

Substituting the points in the formula,

[tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }\\m=\frac{-1-0}{0-4} \\m=\frac{-1}{-4} \\m=\frac{1}{4}[/tex]

We know that, the equation of a line in point slope form, where (x₁, y₁) is the point and slope m is:

(y – y₁) = m(x – x₁)

Here, (x₁, y₁)= (4,0)

Substitute the value of m and any coordinate into the formula y−y₁=m(x−x₁)

[tex]y-0=\frac{1}{4} (x-4)\\y=\frac{1}{4} x-1[/tex]

Therefore, the equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].

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The largest appropriate number out of the given options after rounding off is 545(five hundred forty-five).

What is rounding off?

Since the rounding is off to the nearest 100's(hundreds), the smallest number will be in the range of (450, 499) both(two) inclusive.

Since its asking about the smallest(least) number, the number that is the smallest(least) will be 450

For the largest(greatest) number the range may vary between (501, 549) both inclusive

This means that any number rounded to the nearest 100's(hundreds) will be 500

Since it is asking for the largest(greatest) number, the number will be 549

So, both(two) the numbers largest( 549) and the smallest (450) when rounded to the nearest 100's(hundreds) will result in 500.

Hence, the largest appropriate number out of the given option is 545(five hundred forty-five.

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Answer:

b

Step-by-step explanation:

Joshua had $9.75 left on the game card (option 3).

Joshua's expenses on the game card can be calculated as follows:

Cost of playing three basketball hoop games = 3 games * $2.25/game

Cost of playing three basketball hoop games = $6.75

Cost of playing two rounds of air hockey = 2 rounds * $1.75/round

Cost of playing two rounds of air hockey = $3.50

Total expenses = $6.75 + $3.50

Total expenses = $10.25

Joshua originally had $20 on the game card, and he spent $10.25. To find out how much he had left, subtract his expenses from the original amount:

Amount left = $20 - $10.25

Amount left = $9.75

So, Joshua had $9.75 left on the game card.

The correct answer is 3.) $9.75.

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1. The temperature change on each day is as follows:

2. The temperature change on Day 1 was 32.31°C.

3. The temperature changed the most on Day 2.

A temperature change is a process whereby the degree of hotness or coldness varies from one time to another.

In this instance, the temperature changes can be computed by subtracting the temperature at Sunrise from the temperature at Sunset in degrees Centigrade or degrees Fahrenheit, as the case may be.

Daily Temperatures

                   Temperature at    Temperature at   Temperature

                       Sunrise (°C)           Sunset (°C)          Change

Day 1                - 13.94                    18.37                   32.31°C

Day 2                 - 9.12                   28.17                   37.29°C

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Answer:THE ANSWER IS NO.

Step-by-step explanation:

As we have given that x=8 and y=7

put theses values in given equations :-

 -x + y= -1

-8+7= -1,true

But, for 6x+y=41

We get 6*8+7=41

55 ≠41

Hence the answer is NO.

Answer:

(8,7)  is not a solution of the systems.

Answer:

Your answer is n^3 + 4n^2 - 8n - 9

Hope this helps! <3

Answer:

Step-by-step explanation:

possible two digit numbers with sum 3 are 03,12,21,30

only 21  is between 13 and 23.

Mary's birthday is June 21.

One can recognize when two integers are opposite numbers as C. Opposite numbers are the same distance from zero on both sides of the number line.

It should be noted that opposite numbers are given as being 0 when added.

For example, the addition of 3 and -3 will be equal to 0.

Therefore, one can recognize when two integers are opposite numbers as Opposite numbers are the same distance from zero on both sides of the number line.

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C.78893

Step-by-step explanation:

-_-_+_(*;#-✓✓

Answer: Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!

Step-by-step explanation:

Answer:

math BE hard hard hard hard

Answer:

Math is actually easy for me. I started going into 7th grade when I was in 6th grade and it was just a month after school started.

Step-by-step explanation:

I guess you guys need help. Everyone needs help sometimes and I get it. So math is easy for me but It might be hard for you. I'm out.

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

In this problem we know the three vertices of a triangle on a Cartesian plane and we must determine the coordinates of its image by applying rigid transformations. According to the statement, the vertices of the image are obtained by applying a translation formula:

P'(x, y) = P(x, y) + T(x, y)        (1)

Where:

If we know that P(x, y) = (2, - 4), Q(x, y) = (4, - 5), R(x, y) = (7, - 2) and T(x, y) = (- 6, 3), then the coordinates of the vertices of the image are:

P'(x, y) = (2, - 4) + (- 6, 3)

P'(x, y) = (- 4, - 1)

Q'(x, y) = (4, - 5) + (- 6, 3)

Q'(x, y) = (- 2, - 2)

R'(x, y) = (7, - 2) + (- 6, 3)

R'(x, y) = (1, 1)

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

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