A high school wants to sell postage stamps with the school logo on them. The fundraising group have purchased 500 sheets of stamps at $16/sheet plus $50 to create the image. They plan to sell each sheet for $20. a) Write an equation that represents the cost of obtaining the stamps. b) Write an equation that represents the income from sales. c) For each equation, set up a table of values. d) Graph each equation on the same set of coordinate axis. e) What is the minimum number of sheets the group must sell so they don't lose any money? f) How much profit will they make if they sell 500 sheets?

a. True.

b. False.

c. True.

d. True.

e. True.

a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.

b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.

c. This statement is true because angles 5 and 1 correspond to each other.

d. This statement is true because angles 7 and 8 form a straight line.

e. This statement is true because they are interior angles that are alternate.

Answer: B

Step-by-step explanation:

When B is simplified, it becomes x^2-3x-10.  This is a polynomial because it has more than two terms(3).

Hope it helps <3

The solution is: the following is a polynomial, A. 4x^2+9x+12 & C. 15x^4

Option A and C are correct.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

Here, we have,

we know that,

A polynomial is defined as an algebraic expression that consists of variables and constants involving operations of addition, subtraction, multiplication and non-negative exponents.

A. 4x^2+9x+12 is a polynomial

B. 3-√2x is not a polynomial

C. 15x^4 is a polynomial

D. 6x^2+2/x is not a polynomial

So, Option A and C are correct.

Hence, The solution is: the following is a polynomial, A. 4x^2+9x+12 &

C. 15x^4 , Option A and C are correct.

Know more about Polynomials here:

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Answer:

B∠119°

Step-by-step explanation:

Well first we need c.

And c + 112 = 180

So -112 is c = 68

68 + 51 + a = 180

68+51 = 119 + a = 180

a = 61

b + 61 = 180

b = 119

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: [tex](x^2 + x + 2)(x^2 - 2x + 3)[/tex]

By using distributive property: a(b+c+d)= ab+ac+ad

[tex](x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6[/tex]

Maximum possible terms =9

Combine like terms

[tex]x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6[/tex]

Hence, [tex]\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6[/tex]

Degree of polynomial (highest degree) =4

Number of terms = 5

Answer:

Sample Response: To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2 by x2, you add the exponents to get x4. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an x4 term, an x3 term, an  x2 term, an x term, and a constant term.

The degree of the product of the trinomials is 4 because the degree of each trinomial is 2.

The maximum number of terms in the product of the trinomials is 5.

There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.

Explanation:

This is the response on Edge 2020-21. Hope this helps, have a great day!

Answer:  13.5

Step-by-step explanation:

Find the total volume of the melted cubes:

V₁ = 6³                V₂ = 8³                 V₃ = 12³

    = 216                   = 512                    = 1728

So the new cube will have a volume of 216 + 512 + 1728 = 2456

Volume of the cube = side³

 2456 = s³

[tex]\sqrt[3]{2456} = s[/tex]

    13.5 = s

Answer:

400milliliters

Step-by-step explanation:

Let x=ml of 30% solution B used in resulting mixture.

800+x=ml of resulting 30% solution

40%(800)+10%x=30%(800+x)

Then we can simplify the expression

0.4(800)+0.10x= 0.30(800+x)

320+0.10x=240+0.30x

80=0.20x

x= 400milliliters

Therefore, 400milliliters of 10% solution B used in resulting mixture.

r = radius

h = r+12 = height, 12 more than the radius

[tex]V = \text{Volume of cone (oblique or not)}\\\\V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*r^2*(r+12)\\\\V = \frac{1}{3}\pi*r^2*r+\frac{1}{3}\pi*r^2*12\\\\V = \frac{1}{3}\pi*r^3+\frac{1}{3}*12\pi*r^2\\\\V = \frac{1}{3}\pi r^3+4\pi r^2\\\\[/tex]

ANSWER: SECOND OPTION

Answer:

a)Volume 390ft3. Surface area 450ft2

b)surface area

c)volume

Step-by-step explanation:

2*15*13=390

2*15*2=60+15*13*2=390

Answer:

Proved

Step-by-step explanation:

2 sin square( 45°-A)

(therefore;

by trigonometry ratios

sin45°=1)

=2sin2(1-A)

=2sin(1-A)

=1+sin2A

hence proved

I HOPE THIS WILL HELP YOU

If yes mark me brainliest and follow me..

Tysm

Answer:

Step-by-step explanation:

Hello,

the line passes through (-8,11) means than y = 11 for x  = -8

I believe that you wanted to write the first one as below

[tex]y=-\dfrac{5}{8}x+6[/tex]

in that case for x = -8

y = - 5 * - 1 + 6 = 5 + 6 = 11

hope this helps

The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

First we need to find the slope

m = (y2-y1)/ (x2-x1)

   = (7/2 -11)/(4--8)

   = (7/2 - 22/2)/(4+8)

   = (-15/2)/(12)

  = -15/24

Divide top and bottom by 3

  -5/8

Then we can use point slope form to write the equation

y-y1 = m (x-x1)

y- 11 =-5/8(x--8)

y- 11 =-5/8(x+8)

Distribute

y-11 =-5/8 x -5

Add 11 to each side

y-11 = -5/8x -5+11

y = -5/8x +6

Hence, The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).

To learn more on Equation 0f Straight-Line click:

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1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study

2)  What is the​ sample's population: B) The population is collected of the response of all individuals who completed the math test

3) Which part of the study represents the descriptive branch of​ statistics:

individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.

hope i helpd

-lvr

Answer:

x ≥ 64

Step-by-step explanation:

We want to find the average

Let x be the 5th grade

We want it to be no less than 80

Add up the scores and divide by 5

( 80+ 72+ 96+ 88+x)/5 ≥ 80

Combine like terms

( 336+x) /5 ≥ 80

Multiply each side by 5

336+x ≥ 400

Subtract 336 from each side

x ≥ 400-336

x ≥ 64

Answer:

Its D on edg :P

Answer:

x = 4/3

Step-by-step explanation:

move (combine) your X's on one side

combine like terms

divide and multiply

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] - x + \frac{3}{7} = 2x - \frac{25}{7} [/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex] - x - 2x = - \frac{25}{7} - \frac{3}{7} [/tex]

Collect like terms

[tex] - 3x = - \frac{25}{7} - \frac{3}{7} [/tex]

Calculate the difference

[tex] - 3x = - 4[/tex]

Divide both sides of the equation by -3

[tex] \frac{ - 3x}{ - 3} = \frac{ - 4}{ - 3} [/tex]

Calculate

[tex]x = \frac{4}{3} [/tex]

Hope this helps..

Best regards!

Answer:

The SAS(Side-Angle-Side) triangle congruency theorem can be used to prove Triangle MNL is congruent to ONP.

Step-by-step explanation:

We would use the side-angle-side theorem because the two triangles both have two equal sides and one angle. For instance, side MN has two lines and so does side ON has two lines. Same goes with sides NL and NP.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

See below

Step-by-step explanation:

The SAS triangle congruency theorem can be used to prove ΔMNL ≅ ΔONP.

The SAS (Side-Angle-Side) postulate will be used because two sides and one angle are congruent.

They are the following:

=> NM ≅ NO (Given)

=> NP ≅ NL (Given)

=> ∠LNM ≅ ∠PNO  (Vertical Angles)

Answer:

The answer is:

[tex]\bold{c\approx 20.2\ units}[/tex]

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

[tex]cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

Putting all the values.

[tex]cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units[/tex]

The answer is:

[tex]\bold{c\approx 20.2\ units}[/tex]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

Yes the students are reasonably good at estimating one​ minute

a

  Option A is  correct

b

  The test statistics is  [tex]t = 0.354[/tex]

Step-by-step explanation:

From the question we are told that

    The  set of data is  

               68, 82 ,  38 ,  62 , 41, 25 , 57 ,  64, 67, 47, 61, 71, 91, 87, 64

     The  population mean is  [tex]\mu = 60[/tex]

The  level of significance is given as[tex]\alpha = 0.01[/tex]

    The  critical value for this level of significance obtained from the normal distribution table is  

         [tex]Z_{\alpha } = 2.33[/tex]

   The  null hypothesis is  

           [tex]H_o : \mu = 60 \ seconds[/tex]

   The alternative hypothesis is  

          [tex]Ha : \mu \ne 60 \ seconds[/tex]      

Generally the sample mean is mathematically represented as

       [tex]\= x = \frac{\sum x_i }{n }[/tex]

where  n = 15

 So  

      [tex]\= x = \frac{ 68+ 82 + 38 + 62 + 41+ 25 + 57 + 64+67+ 47+ 61+ 71+ 91+ 87+ 64}{15}[/tex]

      [tex]\= x = 61.67[/tex]

The standard deviation is mathematically represented as

     [tex]\sigma =\sqrt{ \frac{ \sum (x_i - \= x )^2}{n} }[/tex]

substituting values

      [tex]\sigma =\sqrt{ \frac{ \sum (68-61.67)^2 + ( 82-61.67 )^2 + (38 -61.67)^2 + 62-61.67)^2 + (41-61.67)^2 +(25-61.67)^2 +( 57+61.67)^2 }{15} }[/tex]           [tex]\sqrt{ \frac{ ( \cdot \cdot + ( 64-61.67)^2 + (67-61.67)^2 +(47-61.67)^2 + (61-61.67)^2+ (71-61.67)^2 + (91 -61.67)^2+( 87-61.67)^2 + (64-61.67)^2}{15} }[/tex]=>   [tex]\sigma = 18.23[/tex]

The  test statistics is evaluated as  

      [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

       [tex]t = \frac{61.67 -60 }{ \frac{18.23 }{\sqrt{ 15} } }[/tex]

      [tex]t = 0.354[/tex]

Now comparing the statistics and the critical value of the level of significance we see that the the test statistics is less than the critical value

Hence the we fail to reject the null hypothesis which mean that these times are from a population with a mean equal to 60 seconds

So we can state that yes the students are reasonably good at estimating one minute given that the sample mean is not far from the population mean

Answer:

-2 and -73

Step-by-step explanation:

simply divide 146 by any negative integer that can divide it fully

HINT:IT ENDS IN 6 SO TRY MULTIPLES AND FACTORS OF 6

and lastly don't forget that negative times negative equals positive

Answer:

The sum of two negative integers is always negative.

Step-by-step explanation:

For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.

Answer:

I believe its 40

Step-by-step explanation:

Answer:

Hey there!

The perimeter can be expressed as 10+7+2+2+6+2+2+7, or  38.

Hope this helps :)

a. true

b. false ( angles should equal 180 125+65=190)

c. true

d. true

e. true

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

a. True (vertically opposite angles are equal)

b. False (angles on a straight line add up to 180 degrees)

c. True (corresponding angles are equal)

d. True (supplementary angles are angles that add up to 180 degrees)

e. True (alternating interior angles are equal)

Answer:

[tex]\huge\boxed{\cot\dfrac{3\pi}{2}=0}[/tex]

Step-by-step explanation:

[tex]\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.[/tex]

Answer:

Step-by-step explanation:

Total cookies = 12

Ate = 3 cookies

Now,

Percentage of the cookies that James are:

[tex] \frac{3}{12} \times 100 \: percent[/tex]

Calculate:

[tex] = 25 \: percent[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

answer is 25

Step-by-step explanation:

Answer:

1. 2.997

2. 29.93

Step-by-step explanation:

1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.

2. Same thing, gotta multiply all given values

Answer:

the surface area is 124

the volume is 72

Step-by-step explanation:

Hi there! :)

Answer:

SA = 124 cm².

V = 72 cm³

Step-by-step explanation:

Volume of a rectangular prism: V = l × w × h

Given:

l = 4 cm

w = 9 cm

h = 2 cm

V = 4 × 9 × 2

V = 36 × 2

V = 72 cm³

Surface area: SA = 2(wl + hl + hw)

SA = 2((4 · 9) + (2 · 4) + (9 · 2))

SA = 2(36 + 8 + 18)

SA = 2(62)

SA = 124 cm².

Hope this helped you!

Answer:

$181,432,754

Step-by-step explanation:

We use the formula for compound interest here, to determine the amount

Mathematically, that would be;

A =I (1 + r/n)^nt

where A is the amount which we want to calculate

I is the initial amount which is $90,000

r is the rate = 23.24% = 23.24/100 = 0.2324

n is the number of times per year the interest is compounded = 12 (compounded monthly)

t is the number of years = 2014 - 1981 = 33

Substituting these values, we have;

A = 90,000(1 + 0.2324/12)^(33 * 12)

A = 90,000(1 + 0.0194)^396

A = 90,000(1.0194)^396

A = 181,432,754.27210504

Which is approximately $181,432,754 to the nearest whole dollars

Answer:

y = -1/2x+7

Step-by-step explanation:

We have a slope of -1/2 and a point of (4,5)

Using the slope intercept form of a line

y = mx+b

y = -1/2 x +b

Substituting the point into the equation

5 = -1/2(4) +b

5 = -2+b

Add 2 to each side

5+2 = -2+2+b

7 = b

The equation of the line is

y = -1/2x+7

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]

i.e.  

[tex]5.50S[/tex]

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Please refer to https://brainly.com/question/17138529 as well.

3.25+5.50S < (with line under it) 30

To add on to what isyllus said...

3.25+5.50S < (with line under it) 30 is the equation

16 pancakes is the amount.

:) hope this helps!

Answer:

Step-by-step explanation:

Triangle is an example of a polygon with three sides. The types of triangle we have are the equilateral, isosceles, scalene and right angled triangle.

An equilateral triangle is a triangle that has all its 3 sides and angles equal.

An isosceles triangle is a triangle that has two of its sides and angles equal.

A scalene triangle is a triangle that has none of its sides and angles to be equal.

According to the question, we are given a triangle of lengths 9, 10 and 130. It is seen that all the length of each sides of the triangle is different, this makes it a scalene triangle.

Answer:

Step-by-step explanation:

1. 6x + 12 = 3x - 27

   3x + 12 = -27

   3x = -39

    x = -13

2. 2p - 3 = 3p + 2

    -p - 3 = 2

     -p = 5

      p = -5

3. 6x - 2 - 35x -28 = 18x - 27

   -29x - 30 = 18x - 27

   -47x - 30 = -27

    -47x = 3

    x = -3/47

Step-by-step explanation:

to find his total expenses, add all fraction spent

3/8 + 1/3 + 1/6

= 9+8+ 4/24

= 21/24. = 7/8

total fraction =1

subtract the fraction spent form the total fraction to know the fraction left for savings

1-7/8= 1/8

therefore if. 1 = 2,400

then 1/8=?

if less more divides

1/8 ÷ 1 ×2,400

1/8 × 1/1×2,400

1/8 × 2,400

=300.

therefore the man saved 300 rupees