Serena brought a total of 135 notebooks and pencils for her students. Each notebook cost 1.75 and each pencil cost 0.35. The total cost of her purchase was 122.85. How many pencils did Serena buy?​

Answers

Answer 1

Answer:

81 pencils

Step-by-step explanation:

1. Set up variables

Pencils = p

notebooks= n

2. Set up a system of equations

p+n= 135                             (The amount of supplies bought)

1.75n +0.35p = 122.85       (Equation for the cost)

3. Solve the system of equations (I'll use substitution)

    a)p= 135-n  (I just rearranged it)

    1.75n + 0.35p= 122.85

     b) Substitute the first equation into the second)

    1.75n + 0.35(135-n) = 122.85

     c) Solve!

    1.75n + 47.25 - 0.35n = 122.85

    1.4n = 75.6

     n= 54

Serena bought 54 notebooks!

4. Substitute the number of notebooks into the first equation

p +n = 135

p + 54= 135

p = 81

Serena bought 81 pencils!!!

I hope this helps!!!!

Answer 2

Answer:

Serena purchased 81 pencils

Step-by-step explanation:

Let x = the number of pencils Serena bought

Let 135 - x = the number of notebooks Serena bought

1.75(135 - x) + .35x = 122.85       Multiply both sides of this equation by 100.

175(135 - x) + 35x = 12,285

23,625 - 175x  + 35x = 12,285

-140x = -11,340

x = 81 pencils


Related Questions

The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the height is 5 feet. If the height of Rosie's house is 27.5 feet, what is the length of its base? If necessary, round your answer to the nearest tenth.

1. 22.9 ft pick and awnser!! :)

2. 28.5 ft

3. 33 ft

4. 30 ft

Answers

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

Please help immediately!!

Answers

Answer:

hjd

Step-by-step explanation:

Factor the quadratic x^2-8x +16

Answers

Answer:

(x-4)^2

square root everything in the equation

What is the Mean Absolute Value?​

Answers

Answer:

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Step-by-step explanation:

The average absolute deviation, or mean absolute deviation, of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability.

The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year.

Answers

Answer:

C. 3.8 years

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P(t)=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

[tex]P(t)=800(1+0.2)^t[/tex]

[tex]P(t)=800(1.2)^t[/tex]

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

[tex]800(1.2)^t=1600[/tex]

Dividing by 800:

[tex](1.2)^t=1600/800=2[/tex]

Taking logarithms:

[tex]t\log 1.2=\log 2[/tex]

Dividing by log 1.2:

[tex]t=\frac{\log 2}{ \log 1.2}[/tex]

Calculating:

t = 3.8 years

Answer: C. 3.8 years

Answer:

3.5 years

Step-by-step explanation:

what is the soultion to x in this and rounded to the nearest tenths 5x−110=447

Answers

Answer:

111.4

Step-by-step explanation:

the answer is 111.4 :)

Dear math why don't you grow up and solve your own problems

Answers

Answer:

LOL

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes

How do you do ratios and proportion?

Answers

Answer: Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

HOPE THIS HELPS

45.6 kg = ____ dag
I will make you brainliest

Answers

Answer:

45.6

Step-by-step explanation:

i looked it up for you

Answer:

it will be 4560

Step-by-step explanation:

1 kg equals 100 dag

What is the scale factor?

Answers

Answer:a scale facter is a scale of how much is one each side or corner and the shape

Step-by-step explanation:

the table gives information about the lengths of time spent in hours, some children spent watching Tv last week

Answers

The data in the table is plotted by using a histogram as shown in the diagram attached below.

What is a histogram?

A histogram can be defined as a type of chart that is used to graphically represent a group of data points (statistical information) into user-specified ranges through the use of rectangles.

Generally, the area of each rectangle is directly proportional to the data frequency and its width is equal to the class interval.

Given the following data:

Length of time (t)                                  Frequency.

0 ≤ t < 10                                                810 ≤ t < 15                                              1515 ≤ t < 20                                             1020 ≤ t < 30                                             11

The vertical axis (y-axis) of the histogram would be used to represent the frequency density while the horizontal axis (y-axis) of the histogram would be used to represent the lengths of time spent (in hours) spent by the children in watching Tv last week as illustrated in the diagram below.

Read more on histogram here: https://brainly.com/question/21304143

Can someone actually help with this not traditional reference angle question

Answers

Answer:

Step-by-step explanation:

If f(x) = 0, what is x?

Answers

Answer:

0

Step-by-step explanation:

Your welcome

2. The standard dose of medicine for a dog is 10 grams for every 15
pounds of body weight. What is the standard dose for a dog that weighs
120 pounds?

Answers

Answer:

8 will be your answer

Step-by-step explanation:

Find the LCM of the following
a) 6, 9, 15
b) 3, 12, 16
c) 8, 9, 12
d) 24, 18
e) 21, 28
f) 18, 42

Answers

Answer:

A. LCM of 6,9, and 15 is 90.

B. LCM of 3,12, and 16 is 48.

C. LCM of 8,9, and 12 is 72.

D. LCM of 24 and 18 is 72.

E. LCM of 21 and 28 is 84.

F. LCM of 19 and 42 is 798.

Step-by-step explanation:

Hope this helps! :)

Does the graph represent a function? Choose the correct descriptor.

Answers

Answer:

NO

Step-by-step explanation:

Thats an absolute value function, an absolute value function can not be negative

Answer:

Not a function.

Step-by-step explanation:

Do the vertical line test. If a line can go from top to bottom and touch the line twice, then it is not a function. A line like this would touch twice on this graph, so it is not a function.


Question 1
What is another name for line k?

Answers

Answer:

FG i think... sorry if i am wrong

Step-by-step explanation:

helpppppppppppppppp

Answers

Answer:

f(5) = -11

Step-by-step explanation:

Given that,

f(x) = 4-3x ....(1)

We need to find the value of f(5).

Put x = 5 in equation (1)

f(5) = 4-3(5)

= 4-15

= -11

So, the value of f(5) is equal to -11.

(**10 POINTS**)
Create two expressions, 1 in the form a (b+c) and a (b - c), that equal 100.

Answers

Answer:

2(25+25) for the first one, sry if that deosnt work.

Step-by-step explanation:

Which expression is equivalent to the given expression? Assume the denominator does not equal zero. (4m^5n^2 / m^2n)^3

Answers

Answer:

Step-by-step explanation:

Hope this Helps ;)

Find the volume of the figure below. 5 cm 11 cm 66 cm 82.5 cm 132 cm 165 cm​

Answers

Answer:

A) 66cm³

Step-by-step explanation:

Using the Pythagorean Theorem, the base of the triangle is 4.  The area of a triangle is 1/2 base times height.  Then you multiply times 11 to get the volume.

1/2(3)(4)(11)=66

subtract 1x²-2x-6 from -6x + 5​

Answers

not sure how to type it out but here

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT

Is there a solution YES OR NO AND WHAT IS THE SOLUTION?

Answers

Answer:

yes there is a solution its

(2,-2)

Answer:

Yes, there should be a solution.

Step-by-step explanation:

y = -2x + 2; slope is -2.

It is graphed at (0, 2) (1, 0)

You could write this as y = -2x

y = 2x - 6; slope is 2.

It is graphed at (0, -6) (3, 0)

You could write this as y = 2x - 6

I did as much as I could, hope this helps. Good luck hun! I don't expect brainliest.

Use the pattern on the table to find the x and y intercepts (fill in the the rest of the table )

Answers

Answer: 8

Step-by-step explanation:

2 - 8 = -6

ASAP PLZ HELP I will give brainlyleist​

Answers

Answer:what is the questionStep-by-step explanation:

In the scale used on a blueprint, 34
3
4
inch represents 4 feet. On the blueprint what is the length of a room with an actual length of 20 feet?

Answers

Answer:

67

Step-by-step explanation:

123£

24. Make a probability model for the following. You have a raffle in which tickets cost $30.
1st prize is $2000 and has a probability of 1/1000
2nd prize is $300 and has a probability of 1/250
3rd prize is $150 and has a probability of 1/125

Answers

Answer:

uh 1/3???

Step-by-step explanation:

I thinks it’s one out of 3 probability of winning

Use addition to solve the linear system of equations. (2x+y=5, 3x+2y=4)

Answers

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(6,−7)

Equation Form:

x=6,y=−7

Step-by-step explanation:

An expression is shown.
47.845+3.32
What is the value of the expression?
A.
48.177
B.
51.165
C.
481.77
D.
511.65

Answers

Answer:

The correct answer is B. 51.165

20 POINTS!!!
b-74 = 12
explain your thinking

Answers

Answer:

86

Step-by-step explanation:

Step 1: Collect liketerms by switching to the terms tgat are alike to the other side

b=12+74

NOTE: while switching, the signs change to the oppositeStep 2: Add 12 + 74

b=12+74

b=86

Answer:

B=86

Step-by-step explanation:

So first step is add 74 to 12 because if you subtracted b with 74 and to reverse that you have to add and 74+12=86 and that is what b equals

Other Questions
3. How can a politician control media coverage?By offering an exclusive interview.O By doing their job.By volunteering at a soup kitchen.By spending time with their family. A regular polygon has n sides and interior angles on 160Find the size of each interior angle in a regular polygon with 4n sides Solve for r: P= 2 r + 2x What is the primary purpose of OPEC, the Organization of Petroleum Exporting Countries?Guard the Suez Canal from terrorist attacksGuard the Suez Canal from terrorist attacksDiscovering oil in new countriesDiscovering oil in new countriesDecide the price and amount of oil to exportDecide the price and amount of oil to exportCreating oil shortages in countries they consider enemiesCreating oil shortages in countries they consider enemies Question 8 of 10Which person is demonstrating the critical approach to social research?O A. Mae, who is focusing on how to improve society in her studyB. Dyani, who says that because she lives in this society she will useher own experiences to develop her studyC. Aaron, who decides that it takes too long to collect information sohe uses guess work to create his studyD. Saul, who makes objective observations about society.SUBMIT What 3 empires flourished because of trade in west africa PLS HELP I"LL GIVE BRAINLIEST TO THE FIRST PERSON WHO ANSWERS IT g The low cost of labor in other countries around the globe is a factor that business must consider because they are impacted by: BEING TIMED !!!What math skill have you learned that would useful in a gaming career and how? I POSTED THIS 5 TIMES PLZ HELP!!!!!!!!!!!!How did GW show his bravery in the Braddock disaster?What was Englands biggest issue following the French and Indian War?What did the Proclamation of 1763 say and why?How did the colonists react to the Proclamation Act of 1763?Why were Vice-Admiralty courts so unfair? Give 2 reasons 7x + 4(-3x + 6) = -7x + 38 RRead the excerpt from Animal Farm.As winter drew on, Mollie became more and more troublesome. She was late for work every morning and excused herself by saying that she had overslept. . . . But there were also rumours of something more serious. One day, as Mollie strolled blithely into the yard, flirting her long tail and chewing at a stalk of hay, Clover took her aside."Mollie, she said, "I have something very serious to say to you. This morning I saw you looking over the hedge that divides Animal Farm from Foxwood. One of Mr. Pilkington's men was standing on the other side of the hedge. AndI was a long way away, but I am almost certain I saw thishe was talking to you and you were allowing him to stroke your nose. What does that mean, Mollie?"He didn't! I wasn't! It isn't true! cried Mollie, beginning to prance about and paw the ground."Mollie! Look me in the face. Do you give me your word of honour that that man was not stroking your nose?"It isn't true! repeated Mollie, but she could not look Clover in the face, and the next moment she took to her heels and galloped away into the field.A thought struck Clover. Without saying anything to the others, she went to Mollie's stall and turned over the straw with her hoof. Hidden under the straw was a little pile of lump sugar and several bunches of ribbon of different colours.Three days later Mollie disappeared.Which event prompts Clover to look in Mollies stall?Clover sees a man petting Mollie, but Mollie denies it.Mollie runs away and is never seen again.Clover discovers that Mollie has sugar and ribbons.Mollie makes excuses for not coming to work. What fraction below is NOT equivalent to 1/5? *5/252/103/84/203/4 _______ 9/12 *=In the problem, 156 divided by 12 = 13, what number is the "divisor?" *1561213The fractions 4/7 and 12/21 are equivalent fractions. *TrueFalseWhat is the "difference" between 73.51 and 6.392? *What is the "product" of 30 and 6? *36241805What is 4 2/5 written as an improper fraction? *18/511/522/542/51/9 _______ 1/12 *=What fraction below is NOT a proper fraction. *7/44/76/118/9The fractions 2/16, 3/24, and 4/32 are ALL equivalent to what fraction? *1/31/41/61/8Giving Brainliest, It'll mean much if you'll try to help me with this! And correct me if i'm wrong but, Brainliest is VERY usefull! And yeah good luck! :D What is Cellular Respiration? PLZ HELP I AM TIMED Describe each as below sea level, at sea level, or above sea level.Death Valley sits at an elevation of 282 feet.The elevation of Mount Whitney is 14,494 feet.The elevation of the Singapore Strait is 0 feet. Which of the following equations has no solution?B= -B+ 2B + 2= b + 2B+ b = 2b + 2 = b-2 what was it like for Martin Luther King Jr to grow up in his era (time) which country was the first to go through major industrializationA. CHINAB. UNITED STATESC. ENGLANDD. JAPAN 1. The supplies of the materials are abundant and can suffice the demand ofthe consumers. The total area of the polygon is 176 square feet. Find the value of x.