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.

To learn more about cost, refer to:

https://brainly.com/question/25109150

#SPJ2


Related Questions

Will mark Brainlyest Use the properties of exponents to simplify the expression(y^3/2 X^-1/2)^4

Answers

Answer:

the answer would be y^6/x^2

Step-by-step explanation:

so (Y) to the sixth power over (X) to the second power

what fraction equals to 4

Answers

Answer:

confusing wording... read below ( 12/3 )

Step-by-step explanation:

if you meant adding fractions then the other answer, but if i read it right then 12/3. 12 divided by 3 = 4

Name theorem or postulate?

Answers

Answer:

SAS

Step-by-step explanation:

A Large earthworm can travel 25 centimeter in 12 seconds. How many meters does the earthworm travels in1 minute?

Answers

We know that it can travel 25 centimetres in 12 seconds. First, we break down the minute into seconds.

60/12= 5

______________________________

Now, multiply 25 by 5.

25x5=125

__________________________________

With this knowledge, we just have to convert the centimetres, to meters.

_______________________________

Your answer is 1.25 meters :)

What is the coefficient in the term k?
A.0
B.1
C.2
D.k

Answers

if they term is just k, 1

PLZ HELP IM BEING TIMED

Answers

Answer:

A

Step-by-step explanation:

Simplify the expression.

7y+6−1+12y =

Answers

Answer:

19+5

Step-by-step explanation:

7y+6-1+12y

Add common variables

19y+5

Can't be simplified any further without an answer to the equation

Hope this helps. Have a great day. May it be filled with joy and happiness

Answer:

24 x y2

Step-by-step explanation:

7+6=13

13-1=12

12+12=24

There is 2 Y's so you do y to the power of 2.

Graph the line that represents this equation:
y=-5z +2

Answers

To graph a linear equation you use the slope and y-intercept.
Step 1: since 2 is your y intercept you plot your point at 2 on the number line.

Step 2: use your slope to find the second point since -5/1 is your slope you go down 5 spaces and go right 1 space.

Step 3: draw line to connect the 2 points

Step 4: repeat step 2

An ant carries food at a speed of 0.01 m/s. How long will it take the ant to carry a cookie crumb to the ant hill, a distance of 50 m? Express your answer in hours.

Answers

Answer:

5000 seconds

Step-by-step explanation:

0.01*100=1

100*50=5000

Answer:

about 1.4 hours

Step-by-step explanation:

1 * 50 / 0.01 = 5,000

5,000 / 60 = 83.3 ---> 83.8 / 60 = 1.4

please help angle c angle ahdbdoneoend

Answers

Looks like TRUE this IS the smallest angle

Answer:

True

Step-by-step explanation:

The angle that sees the smallest side length has the small angle measurement.

standard form of 0.000064

Answers

Answer:

6.4 × 10^-5

This is the standard form of 0.000064.

Can you help me with these questions pls

Answers

So for the angles you would take 87 and 17 and subtract it and that’ll be your answer

f (x) = 2x² - 10x + 13

Find f (-4)

Answers

Answer:

85

Step-by-step explanation:

In this question, you would solve by plugging in -4 to x.

Solve:

f(-4) = 2(-4)² - 10(-4) + 13

= 2(16) + 40 + 13

= 32 + 40 + 13

= 72 + 13

= 85

f(-4) = 85

A rectangular parking lot is surrounded on its perimeter by a fence that is 1,200 feet long. If the length of the rectangular parking lot is 5 times its width, w, which equation can be used to find the width of the parking lot? Ow+ (w+5) = 1,200​

Answers

Answer:

w+5w=1200

Step-by-step explanation:

Alex helps his father milk cows on their dairy farm. They are paid $2.25
per gallon of milk, that they get from their cows. Together, Alex and his
father are able to milk 12 gallons over a 2-hour period. How much money
could Alex and his father expect to earn if they worked for 10 hours?
А
$22.50
B
$54.00
C
$135.00
D
$270.50

Answers

Choice C - 135 dollars

Which dot plot matches the tally chart below?

A 2-column table with 5 rows. Column 1 is labeled Pull-ups Completed in one minute with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.

Answers

Answer:

(A) my friend

Step-by-step explanation:

please mark Brainliest because the other answer above me is wrong

Answer:

A

Step-by-step explanation:

Jaysen helps his mom in gardening. The produce is sold in the market for $ 17 a bag . This year they sold 25 bags. Jaysen gets 35% of the money that is earned. How much will Jaysen earn

Answers

Answer:

Step-by-step explanation:

the money received for 25 bags:

17*25=425

Jaysen get 35%

425*(35/100)=148.75 dollars

Answer:

148,75 $

Step-by-step explanation:

17 × 25 = 425

425 × 0,35 = 148,75

Which situation can be modeled using a linear function? A) the population of yeast that doubles after every minute B) the height of a projectile after it is launched C) the distance covered by a car moving at a constant speed D)the cost of a printing machine that depreciates every year at 2% per year

Answers

Answer:

c

Step-by-step explanation:

because the car is moving at a CONSTANT speed meaning the distance will constantly increase

Good night, logging out !

Answers

Good night :). Sleep tight!

I need to simplify the complex fraction.​

Answers

Answer:

(15 – 22x)/4x(2x – 5)

Step-by-step explanation:

Let us take the numerator first:

(1/2x – 5) – (7/8x – 20) = (1/(2x – 5)) – (7/4(2x –5)) = (8x – 20 – 7(2x – 5))/(4(2x – 5)(2x – 5)

= (8x – 20 – 14x + 35)/4(2x – 5)² = (15 – 22x)/4(2x – 5)²

The denominator is: x/2x – 5

So we now have:

(15 – 22x)/4(2x – 5)² ÷ x/(2x – 5) = (15 – 22x)/4(2x – 5)² x (2x – 5) /X = (15 – 22x)/4x(2x – 5)

What is the value of y = 3x -1 when x is equal to 4?

Answers

Answer:

11

Step-by-step explanation:

Y = 11 when x is equal to 4.

y = (3)(4) − 1

Answer:

y = 11

14 books in 2 boxes; 20 books in 3 boxes
O Yes, they are proportional
O No, they are not proportional

Answers

Answer:

No of course not

Step-by-step explanation:

14x2=24

20x3=60

The Blues Festival sold 20% of tickets at a reduced price of $30 and 30% of tickets at $40 and the rest at the door for full price of $50. With 10,000 tickets sold, how much did they earn from ticket sales in dollars?

Answers

Answer:

$430,000

Step-by-step explanation:

20% of 10,000 = 2000

therefore, 2000 x $30 = $60,000

30% of 10,000 = 3000

therefore, 3000 x $40 = $120,000

50% of 10,000 = 5000

therefore, 5000 x $50 = $250,000

add all dollar amounts together to get $430,000

did i do this right if not can you show me how to do it

Answers

Answer:

no

Step-by-step explanation:

Order of operations

18/2=9

9/3=3

5-2=3

3/3

1 (simplified)

The outcome is still the same but since you have to show your work.....That's the correct way to do it

Hope this helps. Have a nice day.

in the following figures find the value of angle COD if angle abc is equal to 75 degree and a b is equal to CD​

Answers

Angle AOB is given as 75 degrees.

O is the center of the circle so AO and CO are the same length. AB and CD are the same length, so angle COD would be the same as AOB

COD = 75 degrees.

Answer:

75°

Step-by-step explanation:

It is given that:

AB and CD are chords of the circle which are equal. Equal chords subtends equal angles at the center of the circle. [tex] \because m\angle AOB = 75\degree [/tex] [tex] \therefore m\angle COD = 75\degree [/tex]

which one is it???? .

Answers

Answer:

option A, I guess .....

.

In the inequality
a> 3x+8 or a>-4x-1, which value of a does the solution consist of numbers greater than -6 and less than 5?
A-16
B-26
C-19
D-23

Answers

Answer:

I think it is B correct me if I am wrong

Step-by-step explanation:

Class A has 26 pupils and class B has 15 pupils.
Both classes sit the same maths test.
The mean score for class A is 33.
The mean score for both classes is 39.
What is the mean score (rounded to 1 DP) in the maths test for class B?

Answers

Answer:

Concept: Real World Analysis

So we know A has an average of 33We know A+B/2= 39Hence we will solve for b [tex] \frac{33 + x}{2} = 39[/tex][tex]x = 45[/tex]

Answer:

It's 49.4

Step-by-step explanation:

((26*33)+(15*x))/41=39

((858)+(15*x))/41=39 ‖*41

(858)+(15*x)=1599 ‖-858

15*x=741 ‖/15

x=49.4

which expression is the best estimate of 1 1/5 X 3 2/3
A: 2 X 3
B: 1 X 4
C: 2 X 3
D: 1 X 3

Answers

I think it may be B. 1 X 4 :)

cynthia and amy are customer service representives cynthia earns $13 per hour and amy earns $1.50 more per hour than cynthia. Amy worked 43.5 hours in the last two weeks which equation could she use to find the amount of money she should receive

Answers

Answer:

Step-by-step explanation:

Let h bet the # of hours worked

If Cynthia earns $13 per hour then her equation would be:

C = $13h

If Amy makes $1.5 more per hour then her equation would be:

A = $14.5x

Now lets plug in some numbers:)

A = $14.5(43.5)

A = $630.75

Other Questions
Explain how the aperture geometry relates to thediffraction pattern. What is 2 4/5 2/5? What was the biggest factor that led to the renaissance What could allow a person to rise in social class in the Aztec empire?BloodlettingMarriagePersonal SuccessHaving children In Texas, motorcylcists have ______________ rights to the road as cars. Write the equation of the line. Is this grammatically correct:yo quiero mas amigos espaol ayudar yo practicar.Translation: I want more spanish friends to help me practice. what is final goal of quality life PLEASE HELP THANK YOU :) Fido's leash is tied to a stake at the center of his yard, which is in the shape of a regular hexagon. His leash is exactly long enough to reach the midpoint of each side of his yard. If the fraction of the area of Fido's yard that he is able to reach while on his leash is expressed in simplest radical form as [(sqrt{a})/b] * pi, what is the value of the product ab? Yo.tu nmero de telfono.O A. sO B. conoceOC. sabesOD. Conozco Johnny tremain for chapter 7 of Johnny tremain what is the opening date and year of the chapter How did the framers of the Constitution attempt to create a government of limited authority?Denial of powerGrants of PowerBill of RightsSeparation of Powers Which statement most clearly shows the use of propaganda? A. Paul Weegan was a police officer for 27 years before retiring. B. Paul Weegan was a member of the Dyersville city council. C. Paul Weegan has the support of both the police and fire departments.D. Paul Weegan is a candidate for mayor of Dyersville. petra claims that he can use the associative property of multiplaction to rewrite(9.5 x 9) + 1 as 9.5 x 10. is petra correct explain Enjal paid Rs 15,255 for smart phone with 10% discount and 13% vat. Find marked price of that smart phone. Use the drop-down menus to complete each equation so the statement about its solution is true. Ill give brainliest :)) i need help with this ? PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Hesperia Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $15 and chairs cost $25. The center cannot spend more than $1500.Which inequality represents all possible combinations of s stools and c chairs?15s+25c Steam Workshop Downloader