You and your friend each purchase an equal number n of magazines. Your magazines cost $1.50 each and your friend's magazines cost $2 each. The total cost for you and your friend is $10.50. Write and solve an equation to find the number of magazines you purchased.

Answers

Answer 1

Given:

You and your friend each purchase an equal number n of magazines.

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Total cost = $10.50

To find:

The equation to find number of magazines you purchased.

Solution:

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Number of magazines purchased by you and your friend = n

Total cost = [tex]1.50n+2n[/tex]

It is given that total cost is $10.50.

[tex]1.50n+2n=10.50[/tex]

[tex]3.50n=10.50[/tex]

Divide both sides by 3.50.

[tex]n=\dfrac{10.50}{3.50}[/tex]

[tex]n=3[/tex]

Therefore, required equation is [tex]1.50n+2n=10.50[/tex] and the number of magazines purchased by you is 3.


Related Questions


Peter drives at a speed of 70 miles per hour.
How long will it take to drive 455 miles?
hours

Answers

Answer: 6.5 hours

Step-by-step explanation:

You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5

Answer:6

Step-by-step explanation:

HELP ME IM LOST :/


In the diagram, QRSTU is a regular pentagon and STVW is
a straight line. PQVW is a part of a regular polygon. Find
the number of sides of the regular polygon.​

Answers

Answer:

15 sides

Step-by-step explanation:

Recall the following about interior and exterior angles of polygons.

Interior angles of polygons:

The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.

If we know the number of sides, we can find the sum of the measures of the angles.

Exterior angles of polygons:

The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.

This problem:

QRSTU is a regular pentagon.

The sum of the measures of the sides of a polygon of n sides is

(n - 2)180

For a pentagon, n = 5, so

(n - 2)180 = (5 - 2)180 = (3)180 = 540

The sum of the measures of the angles of pentagon QRSTU is 540.

Since it's a regular polygon, each angle measures 540/5 = 108.

Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.

Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is

(n - 2)180 = (4 - 2)180 = 2(180) = 360

m<VQU = 12 (given)

m<UQR = 108

m<VQR = m<VQU + m<UQR = 108 + 12 = 120

The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.

<VQR + m<R + m<S + m<TVQ = 360

We now substitute the angle values we know and solve for m<TVQ.

120 + 108 + 108 + m<TVQ = 360

m<TVQ = 24

<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.

[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]

[tex] a = \dfrac{360}{n} [/tex]

We know that the measure of an exterior angle is 24 deg.

[tex] 24 = \dfrac{360}{n} [/tex]

[tex] n = \dfrac{360}{24} [/tex]

[tex] n = 15 [/tex]

Answer: 15 sides

Answer:

15 sides

This was tough.

QUICK I NEED HELP!!!

Solve the absolute value:
| x + 1| + 3 <4

Answers

Answer:

x<0 and x>-2

Step-by-step explanation:

Answer:

x<0 and x>−2

Step-by-step explanation:

Step 1: Add -3 to both sides.

|x+1|+3+−3<4+−3

|x+1|<1

Step 2: Solve Absolute Value.

|x+1|<1

We know x+1<1 and x+1>−1

x+1<1(Condition 1)

x+1−1<1−1(Subtract 1 from both sides)

x<0

x+1>−1(Condition 2)

x+1−1>−1−1(Subtract 1 from both sides)

x>−2

7 is a solution to the equation 3n + 9 = 33.
true or false

Answers

Answer:

false

Step-by-step explanation:

3(7) = 21+9 = 30

Answer:

False

Step-by-step explanation:

Hope This Helps!!!

A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches.
Which equation models this?

Answers

Answer:

8x=96 inch

Step-by-step explanation:

How its in the draw you have this situation then the equation that model is the next one:

2*(3X) + 2*X = 96 inch

6X + 2X = 96 inch

8X=96 inch

We must multiply due that there is two sides that measure the same.

The equation which models this situation is,

⇒ 96 = 2 ((3 + 2x) + x)

or ⇒ 96 = 2 (3 + 3x)

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

A rectangle has a length that is 3 more than twice the width.

And, Its perimeter is 96 inches.

Let the width of rectangle = x

So, The length of rectangle = 3 + 2x

Now, We know that;

⇒ Perimeter of rectangle = 2 (Length + Width)

Substitute all the values, we get;

Perimeter of rectangle = 2 (Length + Width)

⇒ 96 = 2 ((3 + 2x) + x)

⇒ 96 = 2 (3 + 3x)

Learn more about the rectangle visit:

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Which algebraic expression is equivalent to this expression?

3(2x − 8) – 11x

A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

[tex]\huge\boxed{D.\ -5x-24}[/tex]

Step-by-step explanation:

[tex]3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\\\\=(6x-11x)-24=-5x-24[/tex]

3) x-intercept = -3, y-intercept = 1
Y=-3/1 x -3
Would that be how I set it up in the formula form?

Answers

Answer:

y = 1/3x+1

Step-by-step explanation:

Use the intercepts to find the slope

(-3,0) and (0,1)

(1-0) / (0-(-3)) = 1 / 3

Plug it into the equation

y= 1/3x + 1

Here's my question. Thanks! :)

Answers

For this question your answer is going to be 99

16 + 7h = 2 what does that equal too?

Answers

16 + 7h = 2
7h = 2-16
7h = -14
h = -2

Answer:

h = -2

Step-by-step explanation:

16+7h = 2

subtract 16 from BOTH sides

7h = 2-16

simplify

7h = -14

divide BOTH sides by 7

h = -2

Rewrite in simplest terms: -4(-2x-7)+6x-7

Answers

-4(-2x-7)+6x-7
6x+28+6x-7
12x+21

Factor 2x^2-x-10. Rewrite the trinomial with the x term expanded using 2 factors.Then group the first 2 and last 2 terms together and find the Gcf of each
Trinomial (2x- ___) + (4x-10)
Gcf __ (2x-5) + __ (2x-5)

Answers

Answer:

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

Step-by-step explanation:

2x² – x – 10

The equation above can be factorised as follow:

2x² – x – 10

Multiply the first term (i.e 2x²) and the last term (i.e –10) together.

2x² × (–10) = –20x²

Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).

The factors are 4x and –5x.

Next, replace –x in the equation above with 4x and –5x. This is illustrated below:

2x² – x – 10

2x² – 5x + 4x – 10

Next, factorise

2x² – 5x + 4x – 10

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

What is the Slop?????Please give an actual answer. WILL ADD BRAINLIEST FOR BEST ANSWER!!!!!

Answers

Answer:

The Slope Is 2/3

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Write an inequality for the graph.

Answers

Easy buddy...

[tex]y \geqslant |x - 5| + 1 [/tex]

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

. Line A is represented by the equation y=1/4x+5
(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8, 2) − . Show your work.
(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4, 1) . Show your work.

Answers

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

1. -9n + 1 = -80
2. 144 = 144 = -12(m + 5)
3. -243 = -9(10 + r)
4. -10 = -10 + 7x
5. 4 - 7m = - 66
6. 2(y – 3) = −12
7. 16 = 2(1 + 7a)
8. 3 + 5r = −47
9. −10x + 6 = −74

With work please :) Please and ty

Answers

Answer:

1. n = 9

2. m = - 17

3. r  =  17

4. x  =  0

5. m = 10

6. y = -3

7. a = 1

8. r = -10

9. x = 8

Step-by-step explanation:

Eric is swimming along the surface of the sea. He uses positive numbers to represent elevations above the surface of the sea and negative numbers to represent depths under the surface of the sea. Mark is sitting on the deck of a ship above Eric , and Ariel is diving beneath Eric. Who could be at an elevation of -3 m?

Answers

Answer:

Ariel will be at an elevation of -3 m.

Step-by-step explanation:

There are three persons Eric, Mark and Ariel.

Location of these persons are,

Mark - Sitting at deck (Above the sea level)

Eric - swimming along the surface (At the sea level)

Ariel - diving beneath Eric (Below the sea level)

Since, all the distances above the sea level are measured with positive notation and below the sea level with negative.

Ariel will be at an elevation of -3 m.

Answer:

Ariel

Step-by-step explanation:

khan says so

i need help me please :(

Answers

(4/3) (3.14)(1)
(1.33)(3.14)
4.188
=4.2

Write an inequality
I can work at most 30 hours per week

Answers

Answer:

[tex] h \le 30 [/tex]

Step-by-step explanation:

Let h = number of hours of work.

At most 30 hours means 30 hours or less.

[tex] h \le 30 [/tex]

state whether the linear equation has one (unique),infinely many,or no solutions

12(x+8)=11x-5


PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!

Answers

Answer:

One solution

Step-by-step explanation:

12x+96=11x-5

12x-11x= -5-96

x= -101

x only equals one solution, which is -101.

Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
A. l = 3/8 (w)
B. l = 3s
C. w= 4s
D. l = 2/3 (s)

Answers

I believe it’s C but I’m not sure

Answer: A and C are correct.

Step-by-step explanation:

Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)

For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. How many commercials and movies did Adrian's songs play on?

Answers

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

[tex]x+y=14\\x=14-y\,\,\,\,...(i)[/tex]

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

[tex]40x+130y=1010\,\,\,...(ii)[/tex]

Put [tex]x=14-y[/tex] in (ii)

[tex]40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5[/tex]

Put [tex]y=5[/tex] in [tex]x=14-y[/tex]

[tex]x=14-5=9[/tex]

Therefore, Adrian's songs played on 9 commercials and 5 movies.

What is a uniform circular motion?
a. Uniform circular motion is when an obiect accelerates on a
circular path at a constantly increasing velocity
b. Uniform circular motion is when an object travels on a
circular path at a variable acceleration
c. Uniform circular motion is when an object travels on a
circular path at a constant speed
d. Uniform circular motion is when an object travels on a
circular path at a variable speed (answer this quickly pls)​

Answers

Answer:

C. Uniform circular motion is when a object travels on a circular path at a constant speed.

How much is the interest on my loan?
I borrowed $400 to buy an MP3 player. I got a two-year loan,
and the lender is charging 8% Simple annual interest. How
much money will I have to pay back?
Time
Interest Principal
$ ?
$400
Rate
0.08
2
/= Prt
1 = 400 x 0.08 x 2
Interest
I
1.00

Answers

You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

What is Simple Interest ?

Simple interest can be defined as the ratio of product of principal amount , rate , time and hundred.

The interest on your loan can be calculated using the formula:

Interest = Principal x Rate x Time

In this case, the principal is $400, the rate is 8% (or 0.08 as a decimal), and the time is 2 years.

So, plugging in the numbers:

Interest = $400 x 0.08 x 2 = $64

Therefore, the total amount you will have to pay back is the sum of the principal and the interest, which is:

Total = Principal + Interest

= $400 + $64 = $464

Hence, You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

To learn more about Simple Interest from given link.

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(3x-8)(x + 2) = 2x2​

Answers


3x(x+2)-8(x+2)=4
3x^2+6x-8x-17=4
3x^2-2x-21=0
3x^2-9x+7x-21=0
3x(x-3)+7(x-3)=0
(x-3)(3x+7)=0
Either
x-3=0
x=3
Or
3x+7=0
x=-7/3

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?



A.
(7, -1)
B.
(2, -3)
C.
(2, -1)
D.
(5, -3)
Rese

Answers

Answer:

a

Step-by-step explanation:

Answer:

The correct answer for plato is option C

Step-by-step explanation:

C. (2, -1)

Doughnuts are sold in bags and cartons.
A bag hold 4 doughnuts and a carton holds 10 doughnuts
Tom buys B bags and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C

Answers

Answer:

t = b4+c10

Step-by-step explanation

4 times however how many bags

10 times however how many cartons

the person above me is correct!!!(:

It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of calcium, and one ounce of cheddar cheese contains 200 mg of calcium. If a person meets the recommendation by consuming x ounces of whole milk and y ounces of cheddar cheese, then 25x + 200y ≥ 1,000.Give three different amounts of milk and cheese that a person could consume to meet the recommendation.

Answers

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality [tex]25x+200y\geq 1000[/tex]

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take [tex]x=20,y=3[/tex]

[tex]25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000[/tex]

So, [tex]x=20,y=3[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=30,y=4[/tex]

[tex]25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000[/tex]

So, [tex]x=30,y=4[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=40,y=5[/tex]

[tex]25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000[/tex]

So, [tex]x=40,y=5[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Given m||n, find the value of x.
(8x-27) (7x-4)

Answers

Answer:

56ײ-221x+108

Step-by-step explanation:

Select the equation that is the inverse of the given function.
f (x) =( x minus 3 Over 5)

Answers

Answer:

x+3/5

Step-by-step explanation:

f(x)=x-3/5

y=f(x) let

y=x-3/5

put x at y and y at x

then,

x=y-3/5

y=x+3/5

f(x) inverse is x+3/5

The fastest recorded lava flow moved at an average speed of 7 miles per hour. The function y = 7x
describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to
estimate how many miles the lava moved after 6.5 hours.
50
y
45
40
35
30
25
20
15
10
5
.
0
0
1
2
3
4
5
6
7
8
9
10
?
y = 7x

Answers

Put this on a graph (I recommend putting the coordinates into desmos for easy graphing)

0 hours: (0, 0)

1 hours: (1, 7)

2 hours: (2, 14)

3 hours: (3, 21)

4 hours: (4, 28)

5 hours: (5, 35)

6 hours: (6, 42)

6.5 hours: (6.5, 45.5)

After 6.5 hours the lava would have travelled approximately 45.5 miles

I hope this helps you!

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