A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?

A.

$1.80

B.

$0.85

C.

$0.60

D.

$0.40

E.

$0.30

**Answer:**

C.$0.60

hope this help!!!!!!!!!!!!!!!!!!!!!!

A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0. 50, while each cylindrical container costs $0. 75. Which packaging should the company use to minimize cost? Explain. The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $2. 50 less than using the rectangular boxes. The rectangular prism boxes should be used because they will cost the company $5. 00 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $5. 00 less than using the rectangular boxes.

The true statement is (a) The **rectangular prism boxes **should be used because they will **cost **the company $2. 50 less than using the **cylindrical containers.**

The given parameters are:

[tex]Pencils = 2400[/tex] --- the **pencils **needed

The number of **pencils **the **prism **can hold is:

[tex]Prism =60[/tex]

Divide the number of **pencils **needed by the number of **pencils **in 1 **rectangular prism**, to calculate the number of **prisms **needed (n1)

[tex]n_1 = \frac{Pencils}{Prism}[/tex]

So, we have:

[tex]n_1 = \frac{2400}{60}[/tex]

[tex]n_1 = 40[/tex]

A **rectangular prism **costs $0.50.

So, the **total cost **is:

[tex]Total\ cost = 40 \times 0.50[/tex]

[tex]Total\ cost = \$20[/tex]

The number of **pencils **the **cylinder **can hold is:

[tex]Cylinder=80[/tex]

Divide the number of **pencils **needed by the number of **pencils **in 1 **cylinder box**, to calculate the number of **cylinders **needed (n2)

[tex]n_2 = \frac{Pencils}{Cylinder}[/tex]

So, we have:

[tex]n_2 = \frac{2400}{80}[/tex]

[tex]n_2 = 30[/tex]

A **cylinder **costs $0.75.

So, the **total cost **is:

[tex]Total\ cost = 30 \times 0.75[/tex]

[tex]Total\ cost = $22.5[/tex]

By comparison, the **rectangular prism** costs $2.5 less than the **cylinder**

Hence, the true statement is (a)

Read more about **volumes **at:

https://brainly.com/question/1908836

maths question algebra

**Answer:**

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

**Step-by-step explanation:**

5x² - 3y = 4y + 8 ( add 3y to both sides )

5x² = 7y + 8 ( divide both sides by 5 )

x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

can someone plz help with math?!

**Answer:**

150:30

150/30=5

so, every minute he burns 5 calories

**Step-by-step explanation:**

slope= 1/5

**Answer:**

Calories per minute: 5 calories

Slope: 1/5

**Step-by-step explanation:**

BRANLIEST FOR CORRECT ANSWER

Complete the pairs of corresponding parts if △RST ≅ △TXY.

∠S =

∠ TXY

∠ XTY

∠ XYT

Complete the pairs of corresponding parts if △RST ≅ △TXY.

∠STR =

∠ XYT

∠ TXY

∠ XTY

Complete the pairs of corresponding parts if △RST ≅ △TXY.

RS =

TX

XY

TY

Complete the pairs of corresponding parts if △RST ≅ △TXY.

ST =

TY

XY

TX

Complete the pairs of corresponding parts if △RST ≅ △TXY.

RT =

TX

XY

TY

Complete the pairs of corresponding parts if △ABD ≅ △EFC.

∠A =

∠ FCE

∠ FEC

∠ EFC

Why is ▲MAE ≅ ▲TON?

HL

HA

LL

All of the following are ways to prove triangles congruent except

SAS

SSA

ASA

SSS

**Answer:**

**Step-by-step explanation:**

△ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵ ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵ ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵ ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵ ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

for everyone who answers this happy points

**Answer:**

im just answering because im doing a challenge.

**Step-by-step explanation:**

Jennie has $200 and spends $30. What percent did Jennie spend?

**Answer:**

**30$ is 15% of 200$**

**Step-by-step explanation:**

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

∴**30/2=15**

meaning that **30$ is 15% of 200$**

she spent 15% because 30 is 15% of 200

200x15%= 30

200x15%= 30

What is 540 into standard form

**Answer:**

5.40 x [tex]10^{2}[/tex]

**Step-by-step explanation:**

hoped that helped:P

In 1–2 sentences, explain what should be included in the outline for an argument. Use specific details to support your answer.(2 points)

It should b noted that the main things that should be included on the outline for an argument include the **introduction, body,** and **conclusion**.

The** introductory paragraph **outlines the topic and provides **background **information that is important for the readers to understand the argument.

The **body paragraphs** explain the reasons that support the **thesis**. It clearly explains why the reader should agree with the position stated.

Lastly, the **conclusion **restates the thesis and then summarizes the **arguments **made.

Learn more about **essays **on:

https://brainly.com/question/24799048

**Answer:**

You can use outline details for each topic and subtopic in your paper organizing, these points so that they can build your argument toward an evidence-based conclusion. Writing an outline will also help you focus on the task at hand and avoid unnecessary tangents, logical fallacies, and underdeveloped paragraphs so you can identify the research problem.

MARK ME BRAINLIST

what is the answer please help!!!

(asap)

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

What is the area of the trapezoid?

**Answer:**

45 ft²

**Step-by-step explanation:**

I hope this helps!

What is the degree measure of the angle formed by the hands of a clock at 7:30 PM?

The angel formed is 45 degrees

the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago

20 +6= 26 26 x2 =52 so it is 52 degrees 6hrs ago

HELP ME GUYS PLEASE! :)

**Answer:**

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

**Step-by-step explanation:**

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: **(1,3)**

Hope this helps! :)

Definition of Variable and Constant with examples!

Spam free answers required!

**Answer:**

[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

Find the equation of the line with slope of 2 passing through (3,1)

please

Something is wrong with the Amazon

Can someone pleasee answer this

Not for 5 points. Maybe for 10 points, but not 5.

Angles in a triangle add up to 180.

Angles on a straight line also add up to 180.

Using this knowledge, you can find angle OLW which lies on a straight line:

180 – (2x–48)

(Where 2x – 48 is the other angle which lies on the straight line)

180 – 2x + 48

228 – 2x

So angle OLW is 228 – 2x.

Now that you know all the angles in the triangle, add the sum of all the angles and make it equal to 180 to find the value of x (you make it equal to 180 because all angles in a triangle add up to 180).

180 = 228 – 2x + x + 32

180 = 260 – x

180 + x = 260

x = 260 – 180

x = 80

So the value of x is 80.

Substitute x = 80 into the expressions for the angles to find the sizes of the angles.

Angle FOW = x

Angle FOW = 80

Angle FLW = 2x – 48

Angle FLW = 2(80) – 48

Angle FLW = 160 – 48

Angle FLW = 112

Angle OLW = 180 – 80 – 32

Angle OLW = 68

Angles on a straight line also add up to 180.

Using this knowledge, you can find angle OLW which lies on a straight line:

180 – (2x–48)

(Where 2x – 48 is the other angle which lies on the straight line)

180 – 2x + 48

228 – 2x

So angle OLW is 228 – 2x.

Now that you know all the angles in the triangle, add the sum of all the angles and make it equal to 180 to find the value of x (you make it equal to 180 because all angles in a triangle add up to 180).

180 = 228 – 2x + x + 32

180 = 260 – x

180 + x = 260

x = 260 – 180

x = 80

So the value of x is 80.

Substitute x = 80 into the expressions for the angles to find the sizes of the angles.

Angle FOW = x

Angle FOW = 80

Angle FLW = 2x – 48

Angle FLW = 2(80) – 48

Angle FLW = 160 – 48

Angle FLW = 112

Angle OLW = 180 – 80 – 32

Angle OLW = 68

Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?

**Answer:**

2 13/14 feet

**Step-by-step explanation:**

The remaining length is the difference between the starting length and the amount cut off:

5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14

= **2 13/14 . . . feet remaining**

_____

*Additional comment*

Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.

[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]

**Answer:**

3 and five fifthteenths or 3 and 4/9

**Step-by-step explanation:**

i think so.........

A 3 to 1

B 6 to 2

C 7 to 2

D 9 to 3

**Answer:**

yo what is your question??????

**Step-by-step explanation:**

Maybe c 7 to 2

Help. I can’t seem to figure out what to do

**Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.**

**Step-by-step explanation:**

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side

can someone please help with math?!

Slope: 3/5

The formula for slope is rise over run

In this case the rise would be Positive three because the points went from -2 to positive one. And the run would be 5 because it goes from -1 to 4

Hope this helps!!

Please tell me if I have made a mistake, I enjoy learning from them:)

The formula for slope is rise over run

In this case the rise would be Positive three because the points went from -2 to positive one. And the run would be 5 because it goes from -1 to 4

Hope this helps!!

Please tell me if I have made a mistake, I enjoy learning from them:)

What does the point (12,45) represent?

A

For 45 dictionaries, the cost is $12.

B The cost of each dictionary is 12 divided by $45.

C

The cost of 12 dictionaries is $45.

D

The total cost of the dictionaries is 12 times $45.

I think it might be A I’m not sure though but you can try it :)

What does R represent?

A. a line segment

B. a point

C. a line

D. a rat

**Answer:**

B

**Step-by-step explanation:**

How do I solve this?

**Answer: A: 3x^2y^(3/2)**

**Step-by-step explanation:**

This can be written as

(81*x^8*y^6)^(1/4)

Then multiply each exponent by (1/4):

81^(1/4)*x^(8(1/4))y^6(1/4))

81^(1/4) = 3

x^(8(1/4)) = x^2

y^6(1/4)) = y^(3/2)

The result: 3x^2y^(3/2)

d) | Is side-side-angle a congruence rule? Is angle-side-side

a congruence rule? Explain.

**Answer:**

Look at step-by-step explanation

**Step-by-step explanation:**

Side-side-angle is not a congruence rule because a side cannot be in between an angle and a side. Angle-side-side is the same thing, a side cannot be in between an angle and a side.

what is the constant proportionality of y=5/7x

Explanation:

I'm assuming the equation is [tex]y = \frac{5}{7}x[/tex] which is the same as writing y = (5/7)x.

If so, then the constant of proportionality is the fraction out front: The value 5/7 is the coefficient of the term (5/7)x.

All direct proportion equations are of the form y = kx, where k is the constant of proportionality. Another example would be y = 12x and this time k = 12.

Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB

**Answer:**

∠ DAB = 48°

**Step-by-step explanation:**

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

Tell whether the ordered pair is a solution to the equation.

(4, 4); y = -x + 8

**Answer:**

Yes, it is.

**Step-by-step explanation:**

(4) = -(4)+8

4=4

True

What time is three to one in the morning

wdym like 2 or 12:58

PLEASE HELP whoever answers all of them and first i’m giving brainliest.

Answer:

1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property

2. The next step is to combine like terms as needed.

3. Then solve for the variable by applying inverse operations.

4. If solving lead to a true equation, then the equation has infinitely many solutions.

5. if solving leads to an untrue equation, then the equation has no solution.

pls help meeeeeeeeeeee

**Answer:**

b=22/15 or 1.46 repeating

**Step-by-step explanation:**

log x x + log c c = ?[tex] log_{x}\sqrt{x} + log_{ \sqrt{c} } {c}^{2} = \\ [/tex]please help me!!!!?;
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