The total cost of an eraser, 2 similar pens and a ruler is $13. The total cost of 2 similar erasers, a pen and a ruler is $11. The cost of 3 erasers is the same as that of 2 rulers. Find the cost of a ruler.​

Answers

Answer 1

Answer:

$3

Step-by-step explanation:

Let the cost of an eraser, a pen and a ruler be $e, $p, and $r respectively.

Given:

e +2p +r= 13 -----(1)

2e +p +r= 11 -----(2)

3e= 2r -----(3)

(1) ×3:

3e +6p +3r= 39 ----(4)

Substitute (3) into (4):

2r +6p +3r= 39

6p +5r= 39 -----(5)

(2) ×3:

6e +3p +3r= 33 -----(6)

Substitute (3) into (6):

2(2r) +3p +3r= 33

4r +3p +3r= 33

3p +7r= 33 -----(7)

Let's rewrite equations (5) &(7) so it's easier to compare them:

6p +5r= 39 -----(5)

3p +7r= 33 -----(7)

We can eliminate the term p to find the value of r. This can be done by making sure that the coefficient of p is equal in both equations.

(7) ×2:

6p +14r= 66 -----(8)

(8) -(6):

6p +14r -(6p +5r)= 66 -39

Expand:

6p +14r -6p -5r= 27

9r= 27

r= 27 ÷9

r= 3

Thus, the cost of a ruler is $3.


Related Questions

Find the distance between the points (3, -7) and (-4, -7)

Answers

Answer:

Distance = 7

Step-by-step explanation:

Distance (d) =√(-4 - 3)2 + (-7 - -7)2=√(-7)2 + (0)2=√49= 7

Using the distance formula

Salespeople receive a 7% commission on all items that they sell. Their sales for one day totaled $675. What was the amount of commission received for that day?
a. $20.25
b. $47.25
c. $202.50
d. $472.50​

Answers

The answer is B, 47.25.
First we need to know what commission is before we start the problem. Commission is is a payment that an employee makes based on a sale. Then we turn 7% to a decimal first. Which is 0.07. Next we multiply 675 by 0.07. And we get 47.25.

Answer:

the answers to all the questions

1.$33

2.$6.60

3. 130.80

4.$47.25

5.10.09

Step-by-step explanation:

i took the test hope this helps!!!

:)

If the scale factor is 3/2, find the larger square missing side.A) 8 inch) 9 inch) 10 inch) 12 inch

Answers

Answer:

B) 9

Step-by-step explanation:

6×3/2=9

Solve.
[tex]2 5/6 + (-1 4/12) =[/tex]

Answers

Answer:

3

Step-by-step explanation:

Answer:

[tex]\frac{25}{6} = 4.16[/tex]

[tex]\frac{-14}{12}=-1.16[/tex]

4.16 + (-1.16)

= 3

What is the volume of the following rectangular prism?

Answers

Answer:

The answer is 220.5.

since there is a square in it you would multiply 5 1/4 * 5 1/4* 8

write an html on the topic of music​..


Hey mate , If you have any question in maths , you can ask ..​

Answers

Answer:

You can emb.ed a music file into your page using the following HTML code:

<embe.d src="/music/good_enough.mp3" width="180" height="90" loop="false" autost.art="false"> ...

<audio src="/music/good_enough.mp3" controls> <emb.ed src="/music/good_enough.mp3" width="300" height="90" loop="false" auto.start="false"> </audio>

[tex]hope \: it \: helps \: u[/tex]

When writing in HyperText Markup Language to add a music file to a website, you would make use of the following code:

<embe.d src="/music/good_enough.mp3"><audio src="/music/good_enough.mp3" controls></embe.d></audio>

What is HTML?

This refers to a programming language which is referred to as the "building block" of a website where the simple layouts are presented.

With this in mind, we can see that when we are writing a HTML on the topic of music on a website, we can write a code that would add an mp3 file to a website and also give it the adequate controls needed to play, pause and stop the music.

Read more about HTML here:
https://brainly.com/question/4056554

Solve the equation 7x=3^2-1

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{7x = 3^2 - 1}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{7x = 3^2 - 1}[/tex]

[tex]\mathsf{3^2 - 1 = 7x}[/tex]

[tex]\mathsf{3\times3 - 1 = 7x}[/tex]

[tex]\mathsf{9 - 1 = 7x}[/tex]

[tex]\mathsf{8 = 7x}[/tex]

[tex]\huge\textbf{Divide \boxed{7} to both sides:}[/tex]

[tex]\mathsf{\dfrac{7x}{7} = \dfrac{8}{7}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{x = \dfrac{8}{7}}[/tex]

[tex]\mathsf{x \approx 1 \dfrac{1}{7}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = \dfrac{8}{7}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Maggie and her sister bought for their mother that gift of $54.75. maggie contributed $26 to the gift. write an addition equation that could be used to find how much money maggie's sister contributed to the gift

Answers

Answer:

54.75 = 26 + x

Step-by-step explanation:

You can solve for x by subtracting 26 from both sides of the equation.

Someone please help I will mark brainliest!!!!

Answers

Answer:

I think the answer are C, B, C, and A.

Using the net below, find the surface area
of the rectangular prism.
6 in.
2 in.
6 in.
6 in.
in.
2 in.
6 in.
12 in.
Surface Area
[?] in.
Enter

Answers

Answer:

120 in^2

Step-by-step explanation:

The surface area of the prism is the area of all faces combined.

There are four 6 in. by 2 in. rectangles and two 6 in. by 6 in. squares, so the total area is

[tex]4(6 \cdot 2) + 2(6 \cdot 6)=120[/tex] [tex]\text{in}^2[/tex].

Help please I am lost

Answers

G'(x) = 1 × g(x) × f(x) + g'(x) × x × f(x) + f'(x) × x × g(x)

G'(x) = g(x).f(x) + x.f'(x).g(x) + x.g'(x).f(x)

Thus ;

G'(3) = g(3).f(3) + 3f'(3).g(3) + 3g'(3).f(3)

G'(3) = 13×9 + 3×( - 11 )×13 + 3×( - 5 )×9

G'(3) = 117 + ( - 429 ) + ( - 135 )

G'(3) = 117 - 135 - 429

G'(3) = - 18 - 429

G'(3) = - 447

These two triangles are congruent.
b
B
6 cm
1049
12 cm
9 cm
A
47°
'R
29°
29°
12 cm
с
P
a)
What is the size of angle Q?

Answers

Answer:

47 degree.

Step-by-step explanation:

Answer:

i guess the size of angle Q ks 47 degree.

A leg of a right triangle is 16 inches. The hypotenuse is 34 inches. How long is the other leg?

Answers

Answer:

hypotenuse ( c²) = a² + b²

- assume you're given the side a, find b:

b² = c² - a²

b² = (34)² - (16) ²

b² = 1156 - 256

b² = 900

b = √ 900

b = 30

therefore, the other leg is 30 inches.

Answer :

30 inches

Step-by-step explanation:

To determine one of the side lengths of a right triangle we can use the Pythagorean formula :

a² + b² = c²

→ Solution

b = 16 in

c = 34 in

a² + b² = c²

a² + 16² = 34²

a² + 256 = 1.156

a² = 1.156 - 256

a² = 900

a = 900

a = 30 in

____________________

A rectangular corral is enclosed using 120m of fencing. The corral uses the side of a barn as one of its sides, so fencing is required on three sides of the rectangular region. What dimensions would be maximize the area enclosed by the fence?

A. 30m x 60m
B. 10m x 100m
C. 7m x 106m
D. 20m x 80m


Answer: 30m x 60m

Answers

The dimensions that would maximize the area enclosed by the fence is 30m × 60m.

Area of a rectangle:area = lw

where

l = length

w = width

Perimeter of a rectangle:perimeter = 2l + 2w

Therefore,

The corral uses the side of a barn as one of its sides, so the fencing is required on three sides of the rectangular region. Therefore,

perimeter = L + 2w

L + 2w = 120

L = 120 - 2w

area = Lw

area = (120 - 2w)w

area = 120w - 2w²

area = -2w² + 120w

We have a quadratic equation and it is parabolic.  The leading coefficient is negative. Therefore, the parabola opens downward and the vertex is the maximum point.

The area is maximized at the vertex. Therefore,

To find the vertex, we need to have our quadratic equation in general form,

ax² + bx + c = 0

so a = -2, b = 120

w = -b / 2a

w = - 120 / 2 × -2

w = -120 / -4

w = 30

Therefore,

area = -2(30)² + 120(30)

area = 1800m²

Therefore, the maximum area we can enclose is 1800 m², the width is 30m, then the length will be 60 m because 60 × 30 = 1800 m².

learn more on quadratic equation here: https://brainly.com/question/10833349

help me
please helpe​

Answers

Answer:

4 1/2

Step-by-step explanation:

1 1

3

+

3 1

6

=  (1 + 3) + (

1

3

+

1

6

)

=  4 +

1 × 2

3 × 2

+

1

6

=  4 +

2

6

+

1

6

=  4 +

2 + 1

6

=  4 +

3

6

=  4 +

3 ÷ 3

6 ÷ 3

=  4 +

1

2

=  

4 1

2

What’s the correct answer for this ?

Answers

Answer:

6 pounds and 15 ounces

Step-by-step explanation:

hope this helps! i can't rly explain it. it's just converting measurements

Brainliest if correct

Answers

Answer:

w = 90.

Step-by-step explanation:

We need to convert the fraction into a whole number.

We have to solve 11 + 19 first:

11 + 19 = 30.

30/3 = 10 so we need to increase the numerator:

30 * 3 = 90.90/3 = 30.90/3 - 11 = 19.w = 90.

Answer:

90

Step-by-step explanation:

First we take 11 to other side to give:

[tex]\frac{w}{3} = 19+11[/tex]

[tex]\frac{w}{3} = 30[/tex]

Now we escalate the 3 up to give

w = 30×3

w=90

To double check we can substitute our value of w into the original equation:

[tex]\frac{90}{3}-11 = 19[/tex]    ✅

what is 2x4+1???? please help

Answers

Answer:

9

Step-by-step explanation:

1.2x4 =8

2.8+1=9

hope this helped

9

You have to do:
4x2 = 8
8+1 = 9

what is 10 divided by 7+250 divided by 60

Answers

Answer:

The answer could be

42.83 im not sure

Answer:

The answer SHOULD be: 6.7 (unless if it's cash than 6.67)

Step-by-step explanation:

10 divided by 7 +250 "by" so 10 divided by (7+250), than divided by 60

10 division (7+250) division 60

10 division 257 division 60

(10 divided by 257 = rounds to 0.04) divded by 60

0.04 divided by 60 = 6.6666 (6 repeating) rounding to 6.7

A race car accelerate uniformly from 28.5m/s to 46.1m/s in 3.47 second. calculate: The acceleration of the car. The distance traveled​

Answers

Answer: is 11.17 m/s^2

Step-by-step explanation:ther is no steps

please help me learn math

Answers

Answer:

the period of this graph is [tex]\pi[/tex]

Step-by-step explanation:

The period is the length of the section that repeats.  So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.

Let's look at the peaks (maximums).

One is at x = 0 and the next is at x = [tex]\pi[/tex]

[tex]\pi[/tex] - 0 = [tex]\pi[/tex]

Therefore, the period of this graph is [tex]\pi[/tex]


Koda is solving 13 x 16.
He used an area model to help work through each step.
Which calculation did Koda make to get the highlighted partial product?

Answers

Answer:

208

Step-by-step explanation:

think of it as u eating marshmallows and want to double the 16 times then your friend brings 20 packs of marshmallow's. each one has 10 there is 200 marshmallows all together and you have 8 marshmallows left add it together and boom your answer

a cube has sides with the following number: 3,3,6,9,,7,8. what is the probability of getting a factor of 9 when rolled?

Answers

Answer:

The probability of rolling a factor of 9 is 1/2, or 50%.

Step-by-step explanation:

The number 9's factors are 1, 3, and 9. Three of the six sides of the cube have a factor of 9. Therefore 3/6 of the sides are factors of nine.

Simplify 3/6 to 1/2 to get a probability of 50%.

PLEASE HELP FAST ASAP

On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.

Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.

A total of people visited the natural history museum Friday night.

A: 36
B: 133
C: 750
D:1500

Answers

Answer:

C 750

Step-by-step explanation:

165 people represent 22% of the people who visited the museum

give me a Brainliest please lol

f(x) = x? What is g(x)?
g(x)
5
-(1,3)
f(x)
O A. g(x)= 3x2
O B. g(x) = (3x)
O C. (X) = 3x2
O D. g() = 972

Answers

Answer:

x4-3b

Step-by-step explanation:

Use this model to calculate 3/8 × 2/6 .
A grid is shown with 8 rows and 6 columns. The top 2 rows are colored blue. The left 3 columns are textured. These colors and textures overlap on 6 cells indicated by the first 3 columns of the top two rows.

A. 16 18

B. 13 24

C. 6 48

D. 5 48

Answers

The product of numbers is calculated by multiplying them

The result of the product is 6/48

How to multiply the numbers

The product is given as:

3/8 x 2/6

Rewrite properly as:

[tex]\frac 38 * \frac 26[/tex]

Using the model, we have:

[tex]\frac 38 * \frac 26 = 3 * \frac 18 * 2 * \frac 16[/tex]

Rewrite as:

[tex]\frac 38 * \frac 26 = 3* 2 * \frac 18 * \frac 16[/tex]

Multiply the integers

[tex]\frac 38 * \frac 26 = 6 * \frac 18 * \frac 16[/tex]

Multiply the fractions

[tex]\frac 38 * \frac 26 = 6 * \frac 1{48}[/tex]

Multiply the integers and the fractions

[tex]\frac 38 * \frac 26 = \frac 6{48}[/tex]

Hence, the result of the product is 6/48

Read more about products at:

https://brainly.com/question/10873737

Answer:

6/48

Step-by-step explanation:

duhh

At her last practice she made 70% of her shots from the free throw line if she shot the ball 130 times

How many times did she make a free throw?

How many times did she miss? What percentage of her shots did she miss?

Answers

Answer:

1.  She made 91 shots.

2. She missed 30% of her shots, or 39 shots.

Step-by-step explanation:

1. 70% of 130 (or .7 times 130) is 91. The 70% is converted into decimals by moving the decimal 2 places to the left.
2. Out of 100%, 30% is the added percentage to make 100%. 30% of 130 (or .3 times 130) is 39. This can also be found my subtracting 91 from 130.

PLEASE I NEED HELP!!!!!!!!!!!!! I HAVE AN F AND I NEED HELP
I PUT ALL POINTS

Answers

-2< don’t fill in the circle

Jina got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of
ribbon was 21 cents per yard. If after that purchase there was $12.69 left on the card, how many yards of ribbon did Jina buy?

Answers

Answer:

the first answer

Step-by-step explanation:

I looked at it

Subtraction is a mathematical operation that reflects the removal of things from a collection. The yards of ribbon that were bought by Jina is 11 yard.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that Prepaid credit card amount = $15

Also, She bought some bulk ribbon at a craft store and the price of ribbon was 21 cents per yard.

If after that purchase there was $12.69 left on the card.

Now, we can write the following details,

The amount on the credit card = $15

The amount spend on buying the ribbon = $0.21 cents per yard

The amount left on the credit card = $12.69

Further, we can write,

The amount that was used to buy the ribbon

= $15 - $12.69

= $2.31

Now, the length of the ribbon bought by Jina is,

Length of ribbon =  $2.31 / $0.21 per yard = 11 yards

Hence, the yards of ribbon that were bought by Jina is 11 yard.

Learn more about Subtraction here:

https://brainly.com/question/1927340

#SPJ2

Marty counted how many breathes he took in 3 minutes .In that time he took 51 breaths.He took the same number of breathes each minute.How many breaths does it take in one minute

Answers

Answer:

17 breathes per min

Step-by-step explanation:

51 / 3 is 17

hope this helps

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