2. Two teachers, Mr. Donahue and Mrs. Ortiz, decide to buy mechanical pencils and rulers for their classrooms. Mrs. Ortiz buys 50 mechanical pencils and 30 rulers for $55. Mr. Donahue buys 30 of each for $45. What was the price per mechanical pencil? What was the price per ruler?

a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

______ = ______ x + ______ y

b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

______ = ______ x + ______ y

c. Circle the best method for solving the system:

Graphing Substitution Elimination

d. Solve the system using the method you chose.




A mechanical pencil costs ______ and a ruler costs _______.

e. Check your answer:

Answers

Answer 1

Answer:

Step-by-step explanation:

a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

__$55__ = __50__ x + __30_ y

b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

__$45__ = __30__ x + __30__ y

c. Circle the best method for solving the system:

Elimination

d. Solve the system using the method you chose.

  55 =50x+30y

  -1(45) =(30x+30y)-1     =     -45=-30x-30y

    55 =50x+30y

+  -45=-30x-30y

   10=20x

(1/20)10=20x(1/20)

0.50=x

3(55) =(50x+30y )3      =     165=150x+90y

-5(45) =(30x+30y)-5     =   -225=-150x-150y

     165 =150x+90y

+  -225=-150x-150y

           -60=-60y

(1/-60)-60=-60y(1/-60)

             1=y

A mechanical pencil costs _$0.50__ and a ruler costs __$1.00__.

e. Check your answer:

$55=50x+30y                                $45=30x+30y

$55=50(0.5)+30(1)                         $45=30(0.5)+30(1)

$55=25+30                                    $45=15+30

$55=$55                                         $45=$45

Answer 2

A mechanical pencil costs $0.50  and a ruler costs $1.00.

What is meant by cost?In calculus, a cost function is a mathematical formula used to determine how much it will cost to produce a certain number of units. The total cost formula is used to calculate the total cost by combining the variable and fixed costs of providing goods. Total cost = (average fixed cost x average variable cost) x number of units produced. A unit price is defined as a price expressed as a quantity of one, such as $25 per ticket or $0.89 per can. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio.

The current answer as follows:

a. Fill in the blanks to calculate Mrs. Ortiz's purchase price. Let x denote the price of a pencil and y the price of a ruler.

$55 = 50x + 30y

b.Fill in the blanks with the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

$45 = 30x + 30y

c. Circle the best method for solving the system:

Elimination

d. Solve the system using the method you chose.

55 = 50x + 30y - 1(45) = (30x + 30y) - 1 = -45 = -30x - 30y

  55 = 50x + 30y + -45 = -30x - 30y

 10 = 20x

(1/20)10 = 20x (1/20)

0.50 = x

3(55) = (50x + 30y )3 = 165 = 150x + 90y

-5 (45) = (30x + 30y) - 5  = -225 = -150x - 150y

   165 = 150x + 90y + -225 = -150x - 150y

         -60 = -60y

(1/-60) -60 = -60y (1/-60)

           1 = y

A mechanical pencil costs $0.50  and a ruler costs $1.00.

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Related Questions

The figure shows triangle ABC inscribed in circle D.
If the measure of angle CBD = 44°, find the measure of angle BAC, in degrees. Explain each
step you take to solve using proper math vocabulary.
Unit 4a Question
B

Answers

Answer: 46

Step-by-step explanation:

Just got it on a test so I wanted to help you guys out. Thank you guys in the comment section of the other answer. That one is wrong.

Isabel created a scale model of her dad's truck. On the scale model, the length of the truck is 51 inches. The length of the actual truck is 17 feet long.

Which scale did Isabel use to create the scale model of her dad's truck?

Answers

Answer:

1 inch = 3ft

Step-by-step explanation:

If you divided 51 feet  by 17 inch  you will get 3 feet. So 1 inch = 3 feet

NOOB

help please asap!!!!!

Answers

Answer:

-0.9 gallons per minute

Step-by-step explanation:

A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in meters, should the carpenter cut each piece?

Answers

Answer:

2 1/3 meters

Step-by-step explanation:

You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.

Twice the sum of x and 3 is decreased by 13

Answers

Given:

Twice the sum of x and 3 is decreased by 13.

To find:

The expression for the given statement.

Solution:

The sum of x and 3 is (x+3).

Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)

Negative sign is used of decrease.

Decreased by 13 is represented by -13.

Using these representation, we get

Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]

Therefore, the required expression is [tex]2(x+3)-13[/tex].

Read the excerpt from The Monsters Are Due on Maple Street.

56. TRACK SHOT – STEVE 56.

From several yards down as he walks down the steps of his porch, walks down the street over to Les Goodman's house and then stops at the foot of the steps.

57. REVERSE ANGLE – LOOKING TOWARD SCREEN DOOR 57.

Goodman stands there, his wife behind him very frightened.

GOODMAN

Just stay right where you are, Steve. We don't want any trouble but this time if anybody sets foot on my porch that's what they're going to get—trouble!

Based on Goodman’s reaction to Steve, what will most likely happen next?

Les and Steve will have a heated argument.
Everyone in the neighborhood will go home.
The anger and fear among the neighbors will increase.
Les will turn out to be an alien invader in disguise.

Answers

Answer:

C. the anger among the neighbors will increase

Step-by-step explanation:

i got 100 on my quiz

Answer:

C) The anger and fear among the neighbors will increase

Step-by-step explanation:

Based on the evidence in the excerpt, what will most likely happen next. A) The crowd will turn against Steve, believing he is an alien in disguise.Which of the excerpts from The Monsters Are Due on Maple Street is an example of foreshadowing? A)“Where is Pete Van Horn anyway? Didn't he get back yet?”Which of the excerpts from The Monsters Are Due on Maple Street best foreshadows that the residents of Maple Street will turn against Les Goodman? B)“He always was an odd ball. Him and his whole family. Real odd ball.”Based on Goodman’s reaction to Steve, what will most likely happen next? C) The anger and fear among the neighbors will increase.Based on Steve’s actions in the first part of The Monsters Are Due on Maple Street, readers may have predicted that Steve would continue being the town’s leader during the power outage. How should readers revise this prediction after Don asks Steve about his radio? C)Readers should now predict that Steve will no longer be in charge.Which excerpt from The Monsters Are Due on Maple Street best foreshadows the idea that the residents of Maple Street are becoming a dangerous mob? A) The crowd picks this up again and with it their suspicions come back with a rush. The murmur becomes a loud chant filling the air with accusations and demands for action. Two of the men pass Don right up the steps. Goodman flattens himself against the screen door.The writer of this excerpt uses  D)indirect characterization to show that Les Goodman is nervous.What do Don’s words suggest about him? C)Don is suspicious of Les Goodman.What do Steve’s reactions to Mrs. Goodman and Charlie show the reader about Steve? D) Steve is sensible and unafraid.How does Woman One’s claim about Les Goodman affect other elements in the story? B)The neighbors become even more suspicious of Les Goodman.

Which events are independent?

Select each correct answer.



One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.

Answers

Answer:

A six sided number cube is rolled and a coin is flipped

Step-by-step explanation:

These are two different objects that have 0 correlation with eachother

Plzzzz help and also can you plz show how you got the answer

Answers

Answer:hi

Step-by-step explanation:

evaluate 2/3 (10-6) 1/2

Answers

Answer:

[tex] = \frac{2}{3} (10 - 6) \frac{1}{2} [/tex]

[tex] = \frac{2}{3} (4) \frac{1}{2} [/tex]

[tex] = \frac{8}{3} \times \frac{1}{2} [/tex]

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

Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.

With a table

Answers

Answer:

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Step-by-step explanation:

Solve the following equations
3y-6x=48
y=3x+11

Answers

Answer:

See below

Step-by-step explanation:

a). 3y-6x=48

soln

or, 3xy=48

or, xy=48÷3

or, xy=32,,

b). y=3x+11

soln

or, y=13x

or, xy=13,,

X=5 y=26 I don’t know what to say it said add more characters so here that goes..

Plz and quick!
I rly rly need this

Answers

Step-by-step explanation:

20x² = y - 24

y = 20x² + 24

For y to have the least possible value, x² have to be the least possible, which is 0.

Since -3 <= x <= 2 includes x = 0, this is allowed.

Hence least possible value of y

= 20(0)² + 24 = 24.

Answer:

24

Step-by-step explanation:

-3---> 20(-3)^2=y-24 ----> y=204

-2---> 20(-2)^2=y-24 ----> y=104

-1---> 20(-1)^2=y-24 ----> y=44

0---> 20(0)=y-24 ----> y=24

1---> 20(1)^2=y-24 ----> y=44

2---> 20(2)^2=y-24 ----> y=104

help please I beg✨✨✨✨✨​

Answers

Answer:  5x-3

=======================================================

Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]

Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]

If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

--------------------------

So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.


What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

[tex]\displaystyle m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 40)

Point (20, 50)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract:                              [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify:                               [tex]\displaystyle m=\frac{1}{2}[/tex]

Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 20 grams?

Answers

Answer:

26.92 min

if I'm not wrong!

What is the approximate circumference of the circle shown below

Answers

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

Find the product of 6/7•5/7​

Answers

Hey there!

The word “product” simply means the result of a multiplication equation

MULTIPLY the NUMERATORS (TOP numbers) from each other and also MULTIPLY the DENOMINATORS (BOTTOM number) from each other

6(5) / 7(7) = ?

6(5) = 30 ⬅️ NUMERATOR

7(7) = 49 ⬅️ DENOMINATOR

Possible ANSWER: 30/49

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

James earns $2.20 less than twice gregs hourly wage. If james earns $16.50 per
hour, what is gregs hourly wage ?

Answers

Answer:

James earns $2.20 less than twice Greg's hourly wage. If. James earns $16.50 per hour, what is Greg's hourly wage? let x= Grea's hourly wage. 2x-2.20-James' hourly wage. 2x-2.20=16.50. 2x=16.50+2.20. 2x= 18.70.

If James earns $2.20 less than twice gregs hourly wage.If james earns $16.50 per hour, then gregs hourly wage is  $9.35

What is equation?

Two or more expressions with an equal symbol operator is called equation.

Given that james earns $16.50 per hour,

and James earns $2.20 less than twice gregs hourly wage.

let x= Grea's hourly wage.

James earns $2.20 less than twice gregs hourly wage by data.

2x-2.20=James' hourly wage.

2x-2.20=16.50.

2x=16.50+2.20.

2x= 18.70.

Divide by 2 on both sides

x=9.35

Hence gregs hourly wage is $9.35.

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On a scavenger hunt, you find 19 out of 20 objects. Write "19 out of 20" as a fraction, a decimal, and a percent

Answers

Fraction: 19/20

Decimal: 0.95

Percent: 95%

WILL MARK BRAINLIEST! (Look at the photo) PLEASE HELPPPP

Answers

Answer:

Step-by-step explanation:

a.b.c.e

im not sure don't hate me

HELP PLEASE!!!!!!! ! ! !!

Answers

It’s c my guy I took the test

Simply the expression (5x+9y) - (11x-3y+7)

Answers

Answer:

-6+12y-7

Step-by-step explanation:

Who doesn't like short answers, instead of writing a hole paragraph.

Answer:

[tex]-6x + 12y - 7[/tex]

Step-by-step explanation:

[tex](5x + 9y) - (11x - 3y + 7)[/tex]

Lets open the brackets.

[tex]=> 5x + 9y - 11x + 3y - 7[/tex]

Now lets add/substract the like terms only.

[tex]=> 5x - 11x + 9y + 3y - 7[/tex]

[tex]=> -6x + 12y - 7[/tex]

3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.
Which angles form a linear pair?

AnglePRL and AngleLRM
AngleORP and AngleMRN
AngleMRN and AngleNRO
AngleLRP and AngleORP

Answers

Answer:

The answer is C

Step-by-step explanation:

This is right because that's what I did

From the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

What is a Linear Pair?A linear pair is a set of two adjacent angles whose sum equals 180°.Linear pair are also angles that form a straight line when combined together.

The 3 lines are shown in the image attached below.

In the diagram, there are two linear pairs that are formed, they are:

m∠MRN and m∠NROm∠PRO and m∠NRO

Therefore, from the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

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Help! I will give brainliest!

Write a positive or negative integer that represents the situation.

A hiker climbs 900 feet up a mountain.

The integer___represents the situation.

Answers

Answer:

+900 ...................

How many solutions does this linear system have?
y=-1/2x+4
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions

Answers

Answer:

The system of equations has no solution.

NO SOLUTION!

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}y=-\frac{1}{2}x+4\\ x+2y=-8\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y+\frac{1}{2}x=4\\ 2y+x=-8\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}y+\frac{1}{2}x=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+x=8[/tex]

[tex]\begin{bmatrix}2y+x=8\\ 2y+x=-8\end{bmatrix}[/tex]

subtracting equation 2y+x=8 from 2y+x = -8

[tex]2y+x=-8[/tex]

[tex]-[/tex]

[tex]\underline{2y+x=8}[/tex]

[tex]0=-16[/tex]

so the equations become

[tex]\begin{bmatrix}2y+x=8\\ 0=-16\end{bmatrix}[/tex]

0 = -16 is false, therefore the system of equations has no solution.

NO SOLUTION!

The diagram is also attached below.

Answer:

No solution

Step-by-step explanation:

Got it right edge 2020

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)

Answers

Answer:

Answer is D

Step-by-step explanation:

On Edge 2020

What is the answer? ​

Answers

Answer:

B is the answer

B is the answer bro



Thanks. Hope it will help

which equation represents the graph below

y= x/35
y=35x
y=x-35
y=x+35

Answers

Answer:

B: y=35x

Step-by-step explanation:

You can verify this by plugging 1 to be x (35*1=35) and 2 (35*2=70)

help please

Determine whether the triangles are congruent. If​ so, name the postulate or theorem that justifies your answer. If​ not, explain.

Are the triangles congruent or not​ congruent? If they​ are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.

Answers

The answer is D. The triangles are congruent by SAS Postulate

The triangles are congruent by the SAS Postulate.

What are congruent triangles?

A closed polygon made of three line portions shaping three points is known as a Triangle.

If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.

Given triangles

ΔUTS and  ΔRTS

which shows

UT and RS are parallel

and TS is common side

so ∠UTS = ∠RST

by  UT ║ RS (side)

∠UTS = ∠RST (angle)

TS = TS (common side)

ΔUTS ≅  ΔRTS

by SAS postulate

Hence Triangles are congruent.

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I need help thank you

Answers

Answer:

x is greater than or equal to 8.75 or 8 3/4

Step-by-step explanation:

So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.

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