To win the recycling contest, you must collect between 83 and 87 pop tabs each week, inclusive. Suppose you collected 82, and, 84 pop tabs during the first two weeks of competition. Write and solve a compound inequality to find the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest.

The percentage of squirrels that have a weight between 3 and 5 pounds is; 95.017%

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After calculating basic arithmetic we have come to find that, 1523 boxes of crayons are produced in each hour if crayons manufactory produces 36,552 crayons in an hour.

Arithmetic ((arithmós) 'number', 'art, craft') is a fundamental branch of mathematics that focuses on the properties of traditional operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Giuseppe Peano, an Italian mathematician, formalized arithmetic in the nineteenth century with his Peano axioms,[disputed - discuss], which are still very important in the field of mathematical logic today.

The prehistory of arithmetic is limited to a few artifacts that may indicate the concept of addition and subtraction, the best-known of which is the Ishango bone from central Africa, which dates from somewhere between 20,000 and 18,000 BC, though its interpretation is disputed.

We have given that

crayon manufactory produces 36,552 per hours

Each box contain 24 crayons

No. of boxes manufactured in 1 hour = 36,552/24

                                                              = 1523

Thus, 1523 boxes of crayons are produced in each hour if Crayons manufactory produces 36,552 crayons in an hour.

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Answer:$19.575

Solution

135/100of $14.50

=$19.575

or 35/100 of $14.50

=$5.075

$14.50+5.075

=$19.575

The vertices of the image are the points J'(x, y) = (3, - 1), K'(x, y) = (4, - 5) and L'(x, y) = (0, - 3), respectively.

Triangles are created by three non-colinear points called vertices and the location of the image of the triangle is found by using a reflection around a line parallel to the x-axis for every point of the figure. This operation is described by the following expression:

P'(x, y) = P(x, y) - 2 · [P(x, y) - (p, k)]

Where:

If we know that J(x, y) = (3, - 5), K(x, y) = (4, - 1), L(x, y) = (0, - 3) and k = - 3, then the coordinates of the vertices of the image of the triangle are:

J'(x, y) = (3, - 5) - 2 · [(3, - 5) - (3, - 3)]

J'(x, y) = (3, - 5) - 2 · (0, - 2)

J'(x, y) = (3, - 5) + (0, 4)

J'(x, y) = (3, - 1)

K'(x, y) = (4, - 1) - 2 · [(4, - 1) - (4, - 3)]

K'(x, y) = (4, - 1) - 2 · (0, 2)

K'(x, y) = (4, - 1) + (0, - 4)

K'(x, y) = (4, - 5)

L'(x, y) = (0, - 3) - 2 · [(0, - 3) - (0, - 3)]

L'(x, y) = (0, - 3) - 2 · (0, 0)

L'(x, y) = (0, - 3) + (0, 0)

L'(x, y) = (0, - 3)

The vertices of the image of the triangle are J'(x, y) = (3, - 1), K'(x, y) = (4, - 5) and L'(x, y) = (0, - 3).

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Answer:

u hv to do middle terms ig

First step

We want to find the cost of each shirt Blair paid. In order to find it we want to find the total price Blair paid for the whole order and then divide it by 150 (total number of shirts).

She chose Company B.

They charge $3.10 per shirt, plus 4% of the total order for shipping.

There are 150 shirts, then the total order for shipping is:

150 · $3.10 = $465

we want to add the 4%. The 4% of $465 is

$465 · 4/100 = $465 · 0.04

= $18.60

If we add it to the total order for shipping:

$465 + $18.60 = $483.60

Second step

Now we divide the total price of 150 into 150: this is the cost for one shirt.

$483.60/150 = $3.224

If we round it to the nearest hundredth:

$3.224 ≅ $3.22

Answer- The total cost Blair paid for one T-shirt is $3.22

We know that she needs to add 75% to the total cost.

Let's remember that every percentage is equivalent to it divided by 100: for example 100% is equivalent to 1. For 75%:

75% = 75/100 = 0.75

Then 75% is equivalent to 0.75.

This means that if we want to find the 75% of something we multiply it by its equivalent: 0.75.

Answer- She can calculate the markup by multiplying her total cost by 0.75

Based on the previous parts, we know that we want to add the 75% (0.75) of the cost of each T-shirt Blair paid ($3.22).

We first find the 75% of $3.22 and then add it to it: it will be the cost of sell.

First step

The 75% of the total cost of each shirt ($3.22) is:

0.75 · $3.224 = $2.418

Second step

Adding the 75% to the total price:

$3.224 + $2.418 = $5.642

If we round it to the nearest hundredth:

$5.642 ≅ $5.64

Answer- Blair will sell each T-shirt at the carnival for $5.64.

Answer:

[tex]5x^{2} +12x-7[/tex]

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

by using -6 any value of x would make the equation true resulting in infinitly many solutions

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 360 ~~ = ~~ (7x+19)+(15x-1)+(4x-3)+(12x+3) \\\\\\ 360~~ = ~~38x+18\implies 342=38x\implies \cfrac{342}{38}=x\implies \boxed{9=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle C}{15x-1}\implies 15(9)-1\implies 135-1\implies \stackrel{\measuredangle C}{\text{\LARGE 134}}[/tex]

We're given : x+y+z = 4
x = -2y
z = -3y

So, we replace x = -2y and z = -3y in the original equation.

-> -2y + y + -3y = 4
-> -4y = 4
-> y = -1

Now we have the value of y, we substitute it into x and z
x = -2y = -2(-1) = 2
z = -3(-1) = 3

Number of 5 digit numbers can be formed using the digits 8, 9 and 0 is 162

The numbers are 8, 9 and 0

Combination is the one of the method to show the number of arrangements the from collection of objects or numbers

Here we have to form 5 digits numbers using the digits 8,9 and 0

The ten thousand's place can be only filled with 8 or 9, we cant fill the digit 0 on the ten thousands place,

In remaining places we can fill all three digits

Therefore the number of combination = 2 × 3 × 3 × 3 × 3

= 162

Hence, number of 5 digit numbers can be formed using the digits 8, 9 and 0 is 162

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Answer:

1.9

Step-by-step explanation:

In elementary algebra, the binomial expansion defines the algebraic expansion of powers of a binomial. The binomial equation be 27x² - 300 exists 3(3x + 10)(3x - 10).

In elementary algebra, the binomial theorem (or binomial expansion) defines the algebraic expansion of powers of a binomial. According to the theorem, it exists possible to extend the polynomial  [tex]$(x+y)^n$[/tex] into a sum involving terms of the form [tex]$a x^b y^c$[/tex], where the exponents b and c exists nonnegative integers with b + c = n, and the coefficient a of each term exists a specific positive integer depending on n and b.

Let the binomial equation be 27x² - 300

Factor out common term 3:

[tex]$\quad 3\left(9 x^2-100\right)$[/tex] [tex]$=3\left(9 x^2-100\right)$[/tex]

simplifying the above equation, we get

Factor [tex]$9 x^2-100: (3 x+10)(3 x-10)$[/tex]

= 3(3x + 10)(3x - 10)

If 3(3x - b)(3x + b) then we get

= 3(3x + 10)(3x - 10)

b = 10

The value of b = 10.

Therefore, the correct answer is option a. 10.

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First option is correct. A t - shirt cost $7.50 and a pair of shorts cost $23

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between them.

Linear equations are those with one degree.

Simultaneous linear equations are two or more linear equations that can be solved simultaneously to find a common solution.

Let the price of one t-shirt be $x and price of one pair of shorts be $y

A t-shirt and two pairs of shorts cost $53.50

So, x + 2y = 53.50 .................... (1)

Two t-shirts and three pairs of shorts cost $84.

So, 2x + 3y = 84 ................ (2)

Multiplying (1) by 2,

2x + 4y = 107 .............(3)

Subtracting (2) from (3),

4y - 3y = 107 - 84

y = 23

Putting the value of y in (1)

x + 2[tex]\times[/tex]23 = 53.50

x = 53.50 - 46

x = 7.50

A t shirt cost $7.50 and a pair of shorts cost $23

First option is correct

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A major weakness of the Articles of Confederation is that: B. States could ignore laws passed by the Congress.

The Articles of Confederation can be defined as the first written documents that were regarded as the Constitution of the United States of America, which was agreed upon by the thirteen (13) original states.

Under the Articles of Confederation, the national government was unable to raise revenue due to lack of enforcement powers of the confederate Congress.

In conclusion, we can reasonably infer and logically deduce that one of the limitations of the Articles of Confederation was the inability of Congress to enforce the laws it made because they can be ignored by states.

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Complete Question:

What was one major weakness of the Articles of Confederation?

A. State governments lost most of their political power.

B. States could ignore laws passed by the Congress.

C. The national government could not negotiate treaties.

O D. There was no way for new territories to become states.

The plot of the data in the table is shown below.

And the plot of the answer choices is plotted in the following figure.

As we can clearly see, the exponential function of choice D best fits the data in the table,

Hence, choice D is the correct one.

The graph of an inequality is a region in the Cartesian plane. To know which line is the limit of the graphical region, the inequalities are as if they were equations, that is, graph the following lines:

To do this, first clear y in each of the equations:

First equation

Second equation

Now, give x values ​​that are within the domain of each equation and replace them in each equation to find its corresponding value in y:

First equation

Second equation

Now, with the points found you can graph the lines that are the limit of the inequalities. So, you have

Finally, it only remains to paint the regions, taking into account the symbols of the inequalities

In the case of the first inequality, you can see that y "is less than" the rest of the terms, and in the second inequality, you can see that y "is greater than" the rest of the terms.

Therefore, the graph of the given system of inequalities is

Firstly, we will need to try the following options one after the other in order to ascertain our answer

The first option

To find the distance between two points

Distance = Higher number - Lower number

-3 - 20

= - 23

This is very wrong because it has a negative sign

The second option

7 - (-16)

In mathematics, - x - = +

7 + 16

7 + 16 = 23

The answer is OPTION B

Answer:

Step-by-step explanation:

i would say a

[tex]\cfrac{13u^3 y^2 - 32u^2 y}{-4u^3 y^2}\implies \cfrac{13u^3 y^2}{-4u^3 y^2}-\cfrac{32u^2 y}{-4u^3 y^2}\implies -\cfrac{13}{4}+\cfrac{8}{uy}[/tex]

The graph of each equation is attached below each showing the point of intersection to the y-axis.

To solve this question, we have to use a graphing calculator to plot the coordinates as well as show the point of intersection.

A line graph is a graphical representation of information that changes over a period of time. It is a chart made by joining points using line segments.

The graph of equation is attached below.

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Answer:

|0.525| > |−0.067|

Step-by-step explanation:

Simplifying then comparing both terms |0.525| and |−0.067|, 0.525 is greater than 0.067, which means that the first term is greater than the second term.

The surface age. The surface age is the amount of time that has passed between the start of a surface's or interface's creation and the observation or measurement. A continuous probability distribution called a normal distribution has values distributed symmetrically, primarily in an area around the mean.

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The complete table when Noah is running a marathon at a constant speed of 6 miles per hour is mentioned below:

Time                 Distance

 1                           6

 1/2                        3

 [tex]1\frac{1}{3}[/tex]                         8

 [tex]1\frac{1}{2}[/tex]                         9

  9                        54

 [tex]4\frac{1}{2}[/tex]                        27

The running speed of Noah is 6 mph.

The formula for distance is given as:

D = v × t

Where D is the distance, v is the speed and t is the time.

Now,

When t = 1 hour,

D = 6 × 1 = 6 miles

When t = 1/2hour,

D = 6 × 1/2 = 3 miles

When t = [tex]1\frac{1}{3}[/tex] hour,

D = 6 × [tex]1\frac{1}{3}[/tex] = 6 × 4/3 = 8 miles

When t = [tex]1\frac{1}{2}[/tex] hour,

D = 6 × [tex]1\frac{1}{2}[/tex] = 6 × 3/2 = 9 miles

When t = 9 hours,

D = 6 × 9 = 54 miles

When t = [tex]4\frac{1}{2}[/tex] hour,

D = 6 × [tex]4\frac{1}{2}[/tex] = 6 × 9/2 = 27 miles

Therefore, the table will be:

Time                 Distance

 1                           6

 1/2                        3

 [tex]1\frac{1}{3}[/tex]                         8

 [tex]1\frac{1}{2}[/tex]                         9

  9                        54

 [tex]4\frac{1}{2}[/tex]                        27

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According to the central limit theorem for sums, if you keep taking sums from bigger and bigger samples, the sums will eventually form their own normal distribution (the sampling distribution), which will become more similar to a normal distribution as the sample size grows.

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Answer: y=-2x+8

Step-by-step explanation: Write a table of values where for every x y goes down 2 to find the y intercept (0,8) so it would be 8. The slope is -2 and that is all you need to write the equation.

Answer:

79.

Step-by-step explanation:

Replace the x by -5 and simplify:

f(-5) = 3(-5)^2 + (-5) + 9

       = 75 - 5 + 9

       =  79.

The value of f(-5) will be 79.

Step-by-step explanation:

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s) is called a polynomial.

The following table gives special names given to polynomials of low orders.

polynomial order polynomial name

2                         quadratic polynomial

3                         cubic polynomial

4                        quartic

5                         quintic

6                         sextic

Here, the given polynomial: f(x) = 3x² + x + 9

by putting value of x = -5

[tex]3*(-5)^{2} + (-5) + 9[/tex]

after putting we get,

[tex]75 - 5 + 9[/tex]

On solving the above numerical we get,

[tex]79[/tex].

So our final answer would be 79 on putting x = -5 in the given polynomial : f(x) = 3x² + x + 9

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Answer: x=3

Step-by-step explanation:

6x-15-4x+8=-1

2x-7=-1

2x=6

x=3