A math student goes to an office supply store and purchases a total of 16 spirals and pencils. Each spiral costs $3. 50, and each pencil costs $1. 25. If the student spent a total of $29, how many pencils did the student purchase?.

Answers

Answer 1

The student purchase 12 pencils

Let the total number of pencils purchased be xLet the total number of spirals purchased be y

If a math student goes to an office supply store and purchases a total of 16 spirals and pencils, then;

x + y = 16 .................. 1

If each spiral costs $3. 50, and each pencil costs $1. 25 and the student spent a total of $29, hence;

1.25x + 3.5y = 29 ................. 2

Solve both equations simultaneously

x + y = 16 .................. 1 * 1.25

1.25x + 3.5y = 29 ................. 2 * 1

__________________________________

1.25x + 1.25y =  20.

1.25x + 3.5y = 29

Subtract both equations

1.25y - 3.5y = 20 - 29

-2.25y = -9

y = 9/2.25

y = 4

Substitute y = 4 into equation 1:

x + y = 16

x = 16 - 4

x = 12

This means that the student purchase 12 pencils

Learn more on simultaneous equations here: https://brainly.com/question/15165519


Related Questions

Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

*The total cost of the buses was the same for the two schools
*Students from Valley High School paid $5 less than students from Haynes High School.

What was the cost per student for Haynes High School?

A. $5 B. $15 C. $20 D. $40

Answers

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

[tex]60x=80y[/tex]

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

[tex]y=x-5[/tex]

Now we have two equations, we can use to substitute into the other expression:

[tex]60x=80y[/tex]

[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation

[tex]60x=80x-400[/tex]

[tex]-20x =-400[/tex]

[tex]x = 20[/tex]

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

Isolate f variable! Solve the equation algebraically! Show work!!

42 = 6f

Answers

Answer:

f=7

Step-by-step explanation:

42=6f

/6   /6

42/6=7

You divide 6 from 42, which leaves you with 7=f.

HAS ANYONE EVER DONE MARKET DAY AT SCHOOL IT IS SO STRESSFUL HELPPPPP

Answers

Kind of, Market day as in make stuff and then sell it or Market day as in Sell food, I remember this in elementary school 2 Different Kind of Market day :)

Factorize
A) [tex]x^{2} -x-132[/tex]
B) [tex]9t^{2} -u^{2}[/tex]
C) [tex]4p^{2} -9[/tex]
D)[tex]162-8t^{2}[/tex]
E) [tex]p^{2} x-4q^{2} x[/tex]

Answers

Answers are highlighted. Hope this helps

Factor 42x+28y using the GCF

Answers

Answer:

14 (3x+2y)

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of the fraction by to find the percent?
4
8
50
100

Answers

Answer:

4 if im right:)

Step-by-step explanation:

Answer:

A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%

Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.

Answers

Step-by-step explanation:

x = eggs of Ayyub

y = eggs of Bran

z = eggs of Curtis

x + y + z = 48

y = x + 1

z = 1.5y = 1.5(x + 1)

now we are using the second and third equation in the first :

x + (x + 1) + 1.5(x + 1) = 48

x + x + 1 + 1.5x + 1.5 = 48

3.5x + 2.5 = 48

3.5x = 45.5

x = 45.5/3.5 = 13

y = x + 1 = 13 + 1 = 14

z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21

for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.

48/3 = 16

so, everybody should end up with 16 eggs.

therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).

Which of the following are terms in this expression? Select all that apply. 6t+7+9s

Answers

6t and 9s are the terms because they have a variable behind them !

Answer:

6t, 7 and 9s

Step-by-step explanation:

In mathematics, a term is either a single number or variable, or the product of several numbers or variables.

Hope this helps!

a) What is the domain?
b) What is the range?
c) Is this relation
a function?

Answers

Answer:

Step-by-step explanation:

A. x is negative infinite to positive infinite

b. Y=3

c. Yes

reasoning

a. It’s asking what can x equal Be used domain is like another name for x and of you look on thw graph the arrow is crossing all the x points

B. It’s asking for y since range is another name for y and you see on the y axis, y is only interacts with three and no other point so it’s just y=3

C. It’s a function because it passes the vertical line tes!

The perimeter of a rectangular piece of paper is 52 inches. The area is 133 square inches. What are the dimensions of the paper?

____inches by ____ inches

Answers

Answer:

7 inches by 19 inches

Step-by-step explanation:

We can use a system of equations for this.

x=length

y=width

2x+2y=52 (Perimeter)

xy=133 (Area)

We must find x and y that fit both these equations.

Hope this helps :)

A system of equations is shown below y=3x-7 y=2x+1 what is the solution to the system of equations 8 ,17 -8,17 -8,-17 8,-17

Answers

Answer:

(8, 17)

Step-by-step explanation:

y = 3x - 7,  y = 2x + 1

Substitute the second equation into the first for y.

2x + 1 = 3x - 7

8 = x

Now use 8 for x in one of the equations and solve for y.

2(8) + 1 = y

y = 17

(8, 17)

my Christmas present to you​

Answers

Answer:

super man

Step-by-step explanation:

△ABC has vertices A(1,1) B(5,5) and C(4,6)
What is the perimeter of △ABC

What is the area of △ABC? Show your work.

Answers

Length in units:

Use phytogoras theorem or measure it by a ruler if your using a graph paper

AB = 5.65 units

AC = 5.83 units

CB = 1.41 units

Perimeter =5.65 + 5.83 + 1.41 = 12.89 units

Area = 1/2 * 1.41 * 5.65 = 3.98units

This is my question pls help!!!

Answers

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Show Work:

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]

[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]

[tex]20 {e}^{9} {f}^{11} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.


The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk

Answers

Answer:

B .3/9

Step-by-step explanation:

2/6 = 0.333333

3/9=0.333333

Answer: 3/9

2/6=1/3 and 3/9=1/3 as well, making them equal

The value of p (p^2 + p +1) if p =-1

Answers

Answer:

The answer is 1

Step-by-step explanation:

p² + p + 1; p = -1

Now, Put p = - 1

p² + p + 1

(-1)² + (-1) + 1

1 - 1 + 1 = 1

Thus, The answer is 1

-TheUnknownScientist 72

Hey there!

p(p^2 + p + 1)

= -1(-1^2 + (-1) + 1)

= -1(-1^2 - 2 + 1)

= -1(-1^2) - 1(-2) - 1(1)

= 1 + 2 - 1

= 3 - 1

= 2

Therefore, your answer should be: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

question math genius help but preparation for tmrw math exam
a) 2x-y-3=0,4x+y-3=0
lots of thx if u helped ​

Answers

Step-by-step explanation:

make sure to number your equations

[tex]2x - y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: (1)[/tex]

[tex]4x + y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: (2)[/tex]

In equation 2 make y the subject

[tex]y = - 4x + 3 \: \: \: \: \: \: \: \: \: (3)[/tex]

subs 3 into 1

[tex]2x - ( - 4x + 3) - 3 = 0[/tex]

[tex]2x + 4x - 3 - 3 = 0[/tex]

[tex]6x - 6 = 0[/tex]

[tex]6x = 6[/tex]

[tex]x = 1 \: \: \: \: \: \: \: \: \: \: \: (4)[/tex]

sub's 4 into 2

[tex]4(1) + y - 3 = 0[/tex]

[tex]4 + y - 3 = 0[/tex]

[tex]y = - 4 + 3[/tex]

[tex]y = - 1[/tex]

A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?​

Answers

Answer:

a = 8

Step-by-step explanation:

First find the equation of line using

y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1

y-1=7(x-(-6))

y-1=7x+42

y=7x+43

now let x be -5 to find y which is a

y=7(-5)+43

y=-35+43

y=8

so a = 8

How to solve y=4x+1 y=- x=-2

Answers

How do you you can actually is a graft it but the answers actually Y equals 4X plus one Y equals – X equals -2

Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
bank account after tomorrow.
deposit $15. Write an expression to represent how much money Bernie will have in his

Answers

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

Classify −3x4−x3+4x2+12 by degree.

Answers

Answer:

Fourth degree or quartic

Step-by-step explanation:

As the highest power is 4, it is a quartic.

my Christmas present to you​

Answers

Answer:

k wat is it

Step-by-step explanation:

= 82.2×3.6 Show your working out

Answers

The answer would be 295.92

The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:
a, 2a, 3a

Answers

Answer:

tn = n·a

 t10 = 10a

Step-by-step explanation:

We observe that the coefficient of 'a' is the term number:

 tn = n·a

 t10 = 10a

Step-by-step explanation:

2.3² +9 × 4 ÷by 2



plz help

Answers

Answer: 23.29

Step-by-step explanation:

it is 23.29 because first you multiply 2.3 by 2 then you add 9 and multiply it by 4 then divide by two

I forgot this within 2 seconds ;-;

Answers

Answer:

12÷4+13>2+22÷2

Step-by-step explanation:

12÷4=3+13=16

2+22=24÷2=12

Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN

Answers

Answer:

B

Step-by-step explanation:

that's my answer hope it helps ✨

The mid segment can be MK or LO or LN.

What is Mid segment?

The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.

Given:

We know that the Midsegment is generally formed  by the mid points of the line.

But, for Mid Segment of LJK we can write

Mid Segment= 1/2 x Triangle Base

                     = 1/2 x JK (or LK or LJ)

                     = MK or LO or LN

Hence, the mid segment can be MK or LO or LN.

Learn more about Mid segment here:

https://brainly.com/question/15381486

#SPJ2

Simple Geometry Question 100 Points
How do you use coordinates to find the area of polygons?

Answers

Answer:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

Step-by-step explanation:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon

What is the length of side a?

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex]

[tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex]

[tex] \sf16 + 9 = {a}^{2} [/tex]

[tex] \sf \: a {}^{2} = 25[/tex]

[tex] \sf \: a = \sqrt{25} [/tex]

[tex] \sf \: a = 5 \: units[/tex]

Therefore, Length of side a is 5 units ~

Find the circumference of a circle with a radius of 2.4 m

Answers

Answer:

15.07964

..................

not sure how many decimals you want lol, but here ya go:

15.07964474

for future reference you can plug radius (r) into

c = 2pi x r

to get the circumference :)

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