A student bought some pens at 8 each and some pencils at 31.50 each. If the total
number of pens and pencils purchased is 16 and their total cost is 50, how many pens
did he buy?
be
as his​

Answers

Answer 1

Step-by-step explanation:

Letthenumberofpensbexand

numberofpencilsbey

then

x+y=16ory=16−x

andtheirvalue

8x+1.5y=50

8x+(

2

3

)(16−x)=50

8x+24−(

2

3

)x=50

8x−(

2

3

)x=50−24

(

2

13x

)=26∴x=4

theny=16−x=16−4=12


Related Questions

A person paid 56.50 rupees as zakaat in a year find his saving for the Year​

Answers

paste the full question man

Yeah he’s from the future to carry the world.

evaluate: 1: 80-4(2)divided by 8. 2: 92.3-(3.2 divided by 0.4) x 2(3) 3: {(2(3) x2.5) divided by 1/2} + 120. 4: [20+(2.5x3)]-3(3). 5: [(2x 10(0)) divided by 1/3] +8

Answers

30 hope the helps that d


what is 15 feet converted to meters

Answers

Answer:

4.572 meters

Step-by-step explanation:

hope it helps, mark brainliest please

Answer:

4.572 meters; 4.6 rounded.

Step-by-step explanation:

Multiply the foot value by 0.3048 or divide by 3.280839895

15x0.3048

=4.572

I need this done before 9:00

Answers

Answer:

The answer is B) because you make the two equations into fractions and put them equal to each other and solve.

Step-by-step explanation:

Whats the answer to -6(12p - 8n) in distributive Property?

Answers

Answer:

−72p+48n

Step-by-step explanation:

which equations are linear functions? select all that apply

Answers

Answer: 1, 3, and 5

Step-by-step explanation:

What is the area of this parallelogram?

Answers

Answer:

A= 28

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

I believe it’s 6 in the equation

Searches related to As part of a promotion, a local ice cream store is giving away free ice cream cones to the first 20 customers After that, ice cream cones cost $3.00 Is the store's profit proportional to the number of customers? Explain.

Answers

Answer:

Yes, store's profit is proportional to number of customers

Step-by-step explanation:

Yes, the profit is proportional to the number of customers.

Profit = Revenue - Cost = (Price x Quantity) -  Cost

Profit = (0 x 20) + (3 x q) - c(20+q) : Where q refers to quantity beyond 20, & c is average cost per unit

Profit = 3q - 20c - cq = (3 - c)q + 20c

As 20c is constant, component of equation has coefficient 'q' which stands for quantity of sales ie number of customers


Viral Marketing
An organization is trying to decide between three sets of assumptions for their viral
marketing campaign:
• Send the message to 20 people, and assume that each person will take 1 day to share
the message with 3 other, new people (and each of them will share with 3 new
people, and so on).
• Send the message to 5 people, and assume that each person will take 1 day to share
the message with 6 other, new people and each of them will share with 6 new
people, and so on),
• Broadcast the message by paying for a television commercial that reaches 100,000
people, but can't be shared easily.
For which scenario would the most people see the message by the 6th day that the
organization sent it?

Answers

Answer:

...

Step-by-step explanation:

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed are supposed to contain 300m. In fact, the contents vary according to a Normal Distribution with mean of 298 mL and a standard deviation of 3 mL. (a) What is the probability that an individual bottle contains less than 295 mL? Show your work. (b) What is the probability that the mean contents of six randomly chosen bottles is less than 295 mL? Show your work.

Answers

Answer:

0.15866 ; 0.0071627

Step-by-step explanation:

Given that:

Mean (m) = 298

Standard deviation (s) = 3

A.) P(x < 295)

Using the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (295 - 298) / 3 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

B.)

Z = (x - m) / s /sqrt(n)

Z = (295 - 298) / 3/sqrt(6) = −2.449489

p(Z < - 2.449) = 0.0071627 ( Z probability calculator)

The probability will be:(a) 0.15866(b) 0.007163

Given values are:

Mean,

m = 298

Standard deviation,

s = 3

(a)

P(x < 295)

The standardized score will be:

→ [tex]Z = \frac{(x-m)}{s}[/tex]

By substituting the values, we get

      [tex]= \frac{(295-298)}{3}[/tex]

      [tex]= \frac{-3}{3}[/tex]

      [tex]= -1[/tex]

Now,

By using the Z probability calculator, we get

→ [tex]p(Z< -1) = 0.15866[/tex]

(b)

The standardized score will be:

→ [tex]Z = \frac{x-m}{\frac{s}{\sqrt{n} } }[/tex]

By putting the values,

      [tex]= \frac{295-298}{\frac{3}{\sqrt{6} } }[/tex]

      [tex]= -2.449489[/tex]

Now,

→ [tex]p(Z < -2.449)= 0.007163[/tex]

Thus the responses above are correct.

Learn more about probability here:

https://brainly.com/question/20369155

If log 2 = x and log 3 = y, write each logarithm in terms of x and y.

a) log 18
b) log 9

Answers

Step-by-step explanation:

log18 = log2 + log3 + log3 = x + 2y.

log9 = log3 + log3 = 2y.

HELP!

Select the correct answer.

When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.

What are the coordinates of the three vertices of this triangle?




A.

(2, 0), (0, 2), and (-1, -3)

B.

(0, 2), (2, 0), and (1, -1)

C.

(1, 1), (2, 0), and (-1, -3)

D.

(1, 1), (0, 2), and (-1, -3)

E.

(2, 0), (1, -1), and (-1, -3)

Answers

Answer: B.

Step-by-step explanation: (0, 2), (2, 0), and (1, -1) are the correct coordinates of the three vertices of the triangle.

simplify the expression -3/8(-4y+z)

Answers

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is =

Answers

Answer/Step-by-step explanation:

The equation that relates the proportional quantities would take the following form ---› [tex] y = kx [/tex], where,

y = amount of Grape juice (dependent variable)

x = amount of Apple juice (independent variable)

k = constant of proportionality (y/x)

✔️Using any of the given pair, say, (5, 8),

Constant of proportionality = [tex] k = \frac{y}{x} = \frac{8}{5} = 1.6 [/tex]

Substitute k = 1.6 in [tex] y = kx [/tex].

An equation that represents the proportional relationship would be:

[tex] y = 1.6x [/tex]

Or

[tex] y = \frac{8}{5}x [/tex]

How the equation would change if:

y = amount of Apple juice (dependent variable)

x = amount of Grape juice (independent variable)

The constant of proportionality would change, that is using a pair, say, (8, 5),

[tex] k = \frac{y}{x} = \frac{5}{8} = 0.625 [/tex]

Substitute k = 0.625 in [tex] y = kx [/tex].

The equation would now be:

[tex] y = 0.625x [/tex].

Or

[tex] y = \frac{5}{8}x [/tex]

*show all work for full credit
1. 6x=25

Answers

6x=25
we need to divide by 6 on both sides so we will get:
6x/6=25/6
after doing this we will get:
x=25/6
depending on what your teacher is asking for, 25/6 will be your answer or your answer will be 4.16.

Answer and Step-by-step explanation:

All we have to do is solve for x.

Divide both sides by 6.

x = [tex]\frac{25}{6}[/tex]

This is your answer.

If you want to have the decimal version, then it would be 4.166 repeating.

#teamtrees #WAP (Water And Plant) #SPEW (Society for the Promotion of Elfish Welfare)

Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, negative 2) and (2, 0). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above and to the right of the line is shaded.

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (2, 0). Everything above the line is shaded.

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything below the line is shaded. The second straight line has a negative slope and goes through (0, 1) and (3, 0). Everything above the line is shaded.

On a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.

Answers

Answer:

D, or the last graph.

Step-by-step explanation:

I got it right when I was doing the assignment :)

From the information given regarding the graph, it should be noted that correct option about the graph of the system is D. On a coordinate plane, 2 dashed lines are shown.

What is a graph?

It should be noted that a graph is a mathematical diagram which shows the relationship between two or more sets of numbers.

In this case, on a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.

Learn more about graphs on:

https://brainly.com/question/24372553

help!! offering lots of points and brainliest!

Answers

Answer:

It would be C

Step-by-step explanation:

So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100

And the run is 1, because to go from 0 to 1, you add 1

Meaning the slope is 100/1

Hope this helped!


In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2

Answers

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

What is the slope of the line whose equation is: y = 2/5x - 5?

Answers

The slope is 2/5. Rise 2 and run 5

Please help Algebra 1

Answers

Answer:

D

Step-by-step explanation:

Which colonial region was the most culturally diverse

Answers

Answer: Middles colonies

The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 oranges?

Answers

Your Answer—- $3.85

I need help its Khan 2q+2+9​

Answers

Answer:

2q+11

Step-by-step explanation:

Variables are the same. Only the constants add.

Helpppppppppp!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The number of tickets sold on Saturday for the school play was 175 percent of the ticket sales on Friday. If 400 tickets were sold on Friday, how many tickets were sold on Saturday?

Answers

Answer:

2000*1.75 makes 3500 tickets sold Saturday.

Step-by-step explanation:

2000*1.75 makes 3500 tickets sold Saturday.

Answer:

700 tickets sold on Saturday

Step-by-step explanation:

Find 175% of 400:

175 * 400 / 100 = 700

10 per tee shirt and no shipping cost

Answers

Sodjdshbsyssbsususbshsbshsb

Answer:

5,10,15,20,25

Step-by-step explanation:

I believe this is correct because, If you find number 1 on the x axis and find 5 on the y axis, they meet up so therefore 1 shirt cost 5 dollars and so on.

Geometry Question:

Find the value of x that makes N the incenter of the triangle (See attached)

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

Y^2x 24^2=25^2

Y=7

7=14x

x=.5

The value of x is 0.5.

The calculation is as follows:

Here we use Pythagoras Theorem

[tex]Y^2 - 24^2=25^2[/tex]

Y=7

Now  

7 = 14x

So, x=.5

Therefore we can conclude that The value of x is 0.5.

Learn more: brainly.com/question/17429689

Jordana drew the function below. Which statement correctly explains whether or not her function is linear?

On a coordinate plane, a parabola opens up.
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.

Answers

Answer:

It is not linear because it does not have a constant rate of change

Step-by-step explanation:

See attachment for Jordana's graph

From the attachment, it'll be observed that the graph has a curved line.

This means that the graph is not a linear and does not represent a linear function.

In functions, a linear representation has a constant slope (in other words, constant rate of change) while non linear representations do not.

So, since we've been able to establish that the graph is non linear, then we can conclude that the graph do not have a constant slope.

Base on the analysis above and from the list of given options, option (d) is correct.

Answer:

D

Step-by-step explanation:

credit to person above :)

have a nice day <3

What does the word variable mean in mathematics in your own words?

Answers

A variable is a letter in place of a number which you will later have to substitute

Someone plz help me

Answers

The surface area is 54 square inches
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