Oscar bought some markers, notebooks, and packs of sticky notes for his office. He bought the same number of markers as notebooks. He bought three more packs of sticky notes than markers and notebooks combined. He paid $1.05 for each marker, $2.25 for each notebook, and the packs of sticky notes were $1.95. How many of each kind of office supply did Oscar buy if he paid $49.05 in all?

Answers

Answer 1

Using a system of equations, it is found that Oscar bought 6 markers, 6 notebooks and 15 packs of sticky notes.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of markers.Variable y: Number of notebooks.Variable z: Number of packs of notes.

He bought the same number of markers as notebooks, hence:

x = y.

He bought three more packs of sticky notes than markers and notebooks combined, hence:

z = 3 + x + y

z = 3 + 2x.

He paid $1.05 for each marker, $2.25 for each notebook, and the packs of sticky notes were $1.95. He spent $49.05 in total, hence:

1.05x + 2.25y + 1.95z = 49.05.

Then:

1.05x + 2.25x + 1.95(3 + 2x) = 49.05.

7.2x = 43.2

x = 43.2/7.2

x = 6.

The amounts are as follows:

y = 6.z = 3 + 2(6) = 15.

He bought 6 markers, 6 notebooks and 15 packs of sticky notes.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1


Related Questions

NOTE: Angles not necessarily drawn to scale.

Answers

Answer:

x = 40°

Step-by-step explanation:

angle A is a vertical angle with 60 so it's 60

60+80 = 140

180-140 = 40

Answer:

[tex]\boxed{\tt x=40^{\circ}}[/tex]

Step-by-step explanation:

∠x, ∠BAC, and ∠CAF form a straight line.

*Sum of angles that are formed on a straight line is equal to 180°.*

[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]

Add, 80°+60°=140°

[tex]\tt x+140^{\circ}=180^{\circ}[/tex]

Subtract 140 from both sides:

[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]

[tex]\tt x=40^{\circ}[/tex]

_____________________________

Noah works at a museum and monitors a fish tank. The tank currently has 140
gallons of water when Noah leaves to go home for the night. Overnight, the tank
starts to leak and water is draining at a constant rate of 2 gallons per hour. When
Noah returns to work the next day, he finds the tank after it had been leaking for 4
hours. Select all the statements that could represent the amount of water in the
tank when Noah return to work the next day.
a. 140 + -2
b. 140 + (-2)(4)
C. 140 + (2/4)
d. 140 + 8
e. 140 + -8
f. 138
g. 132

Answers

Answer:

B, E, G

Step-by-step explanation:

help :> explain how you did it * quick*

Answers

Answer:

answer A

Step-by-step explanation:

Because this figure is dilated by the factor of 3 we can infer that the figure before dilation was 3 times bigger than the figure now.

so is AC is 5 now then AC before must have been 15

5*3=15

If the angle of A is 37 now then it must have been 111

37*3=111

I'm not 100% sure about this but I hope it helped :)

Answer:

Hey  you once commented on the question if you knew horsleyjaydyn and you said something about her being fake could tell me what you said she was old something don't remember

Step-by-step explanation:

hi hello! please help me.

Answers

Answer:

x= -4

Step-by-step explanation:

hope it's helpful to you

Answer:

A) x= -4

Step-by-step explanation:

To solve you must isolate the variable. Do this by using the properties of equality to subtract and divide numbers from both sides of the equation. First, subtract 8x to move all x terms to the right side.

-48=12x

Then, divide both sides by 12

-4=x

Can someone tell me what this is really quick

Answers

Answer:

There were no more than 15 fruit snacks in the bag

Step-by-step explanation:

I hope this helps!

what is 696969 time 1

Answers

Anything times 1 = the same number so 696969x1=696969

Answer:

696969

Step-by-step explanation:

NEEDED ASAP WILL MARK AS BRAINLIEST
Here are two right-angled triangles.
Given that tan a = tan b
find the value of x.
You must show all your working.

Answers

Explanation:

This might not be how you are supposed to do it but,

We can see the two triangles are similar because AA similarity.

We know that the sides are proportional so we can make:

[tex]\frac{x+2}{x}=\frac{4}{3x-1}[/tex]

We get,

[tex]3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1[/tex]

Because sides can't be negative, x = 2/3

Answer:

x=2/3 = 0.7

Step-by-step explanation:

X+2/x = 4/3x-1

=(X+2)(3x-1)=4x

(x+2)(3x-1)-4x=0

3x²-x+6x-2-4x=0

3x²+x-2=0

3x²+3x-2x-2=0

3x(x+1)-2(x+1)

(x+1)(3x-2)=0

x+1=0

3x-2=0

x=-1 or 2/3

x=2/3 = 0.7

What is the value of x

Answers

Answer:

the answer will be 10 aka number 1

Step-by-step explanation:

If the left side is 18 and the number above it is half that aka 9 then the other side is 10

pls help w this math question
thx !

Answers

It's d just d no exponents

56 boys and 34 girls visit a zoo.
46 of these children have a voucher.
Three times as many boys as girls do not have a voucher.
Complete the frequency tree.

Answers

Answer:

the amount of boys that HAVE a voucher is 23

the amount of girls that HAVE a voucher is 23

Step-by-step explanation:

Answer: follow for more answers concerning maths, biology physics and chemistry

Step-by-step explanation:

Please help me please with math!

Answers

Answer:   Slope = -32

Explanation:

The given equation is in y = mx+b form

m = -32 is the slope

b = -9/38 is the y intercept

Answer:

slope: -32

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Slope:  − 32

y-intercept:  ( 0 , − 9/ 38 )

5 times a number is at least 60.
Please help DUE TODAY

Answers

Answer:

5 times 12 = 60

Step-by-step explanation:

5 times 12 is at least 60

So I've noticed a lot of people have been struggling on equations like these : 8 + ( 2 * 7 )
and I'll be explaining an easy way on how to solve it.

So basically 2 * 7 = 14, now we just have to add 8 + 14 which equals 22.
The parenthesis is the equation you have to solve to get your answer and then you just have to either add, subtract, multiply or divide to find your answer.

I hope this helped!

Answers

Answer:

Yes, it did. Thank you very much.

Can Someone Answer this question??

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442

Find the 37th term.

Answers

Answer:

37th term = -136

Step-by-step explanation:

Given:

Series;

460, 451 ,442

First term a = 460

Common difference D = 451 - 460 = -9

Find:

37th term

Computation:

37th term = a + 36D

37th term = 460 + 36(-9)

37th term = -136

 

Answer:

136

Step-by-step explanation:

Arithmetic Sequence.

Common Difference:

451−460=−9

442−451=−9

d=−9

Explicit Formula:

a{n}=a{1}+(n-1)d

a{37}=460+(36)(-9)

a{37}=136

=136

(Got it right on DeltaMath

Type the correct answer in the box. Round your answer to the nearest tenth.
B
R=?
F = 38 N
501
F = 40 N
Two forces. 5 and 5 are acting on a body, as shown in the figure. The resultant force, RIS
newtons
Please answer

Answers

35 N
Hope this works!

sum of 500 consecutive integers is 250 . what is the product same 500 numbers

Answers

Answer:

250 and 2 because i think 250 multiply by 2 is 500

The product of the 500 numbers is 0.

What are integers?

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

Consecutive integers are whole numbers that follow each other on the number line. For example, 1, 2, 3, 4 .... are consecutive integers.

How to determine the product of the 500 consecutive integers

If the sum of the 500 consecutive integers is equal to 250, it means that the consecutive integers would include negative numbers, zero and positive numbers. If the consecutive integers include zero, the product of the consecutive integers would be equal to zero.

To learn more about products, please check: https://brainly.com/question/3385014

hi please help i will mark brain list giving all my points

Answers

Answer:

B

Step-by-step explanation:

It looks like addition to me.

Answer:

Its B. Addition Property of Equality

Step-by-step explanation:

Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3,20).

Answers

y=12x-16

that's the answer

que es la radicasion ​

Answers

Answer:

un lugar, típicamente uno que ha estado previamente deshabitado, donde la gente establece una comunidad.

Integer exponents

1. 2(9x - 2y) =

2. 2k3 (2k2 + 5k - 4) =

3. 7(6x2 + 9xy + 10y2) =

4. 8x (6x + 6) =

5. 8r2 (4r2 - 5r +7) =



Answers

all answers are in the photo

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?

Answers

Answer:

750

Step-by-step explanation:

50+25+50+100+200+100+200+25

please help me will mark brainleist (ik i spelled that wrong)​

Answers

Answer:

its way to blurry nobody can see

Answer:

x power 2 +2x-8 = - 6x power of 3

Find the value of x.

Answers

Answer:

hi i dont know the ans but it have this app called photomath that will help u

Yea in Photomath just take a pick and it will tell u

POSSIBLE POINTS 10
Using the following set of data, find the upper quartile.
17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23

Answers

Answer:

Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32

Step-by-step explanation:

8, 9, 11, 14, 17, 23, 29,30, 32, 32

7x — 3х – 4 = -1 + 21

Answers

Answer:

x = 6

Step-by-step explanation:

7x - 3x - 4 = -1 + 21

4x - 4 = 20

4x - 4 + 4 = 20 + 4

4x = 24

4x/4 = 24/4

x = 6

X=6 I believe hope this helps

I need help with this math question ​

Answers

Answer:

16675514 Frog

Step-by-step explanation:

[tex]g(25)=14(1.75)^{25} =16675514[/tex]

0.734862.. irrational or rational

Answers

Answer:

Irrational

Step-by-step explanation:


Allan and Robert are viewing a kite in the air. The kite
has an altitude of 205 feet. The angles of elevation
from the ground are shown in the picture below.
What is the total distance between Allan (Point A)
and Robert (Point R)?
A. 292.9
B.166.0
C. 458.9
D. 24.5

Answers

[tex]tan \: a = \frac{opp}{adj} = \frac{205}{adj} [/tex]

[tex]adj = \frac{205}{ \tan(35) } [/tex]

[tex]adj = 292.7703414[/tex]

//

[tex]tan \: r = \frac{opp}{adj} = \frac{205}{adj} [/tex]

[tex]adj = \frac{205}{ \tan(51) } [/tex]

[tex]adj = 166.0057268[/tex]

//

[tex]292.7703414 + 166.0057268[/tex]

[tex] = 458.7760682 \: ft.[/tex]

round as you wish.

Find the square root of the number. -4 square root -32 The square root is​

Answers

Answer:

-32 + 2i.....

yan po Ang sagot ko jan

can you help me please ​

Answers

This question is much easier than the last one. As we can see the yellow are is the same as the bottom area with the same shape. And the area of the 2 hemispheres adds together to a full circle area: 3^2*pi=9pi

Area of yellow region=(36-9pi)/2=18-9/2pi=3.862 and round this to the nearest tenth getting 3.9.

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