Jorge compro en la papeleria 3 Borradores y 2 lápices, por ellos pago $47.50. si la suma de lo que cuesta un borrador y un lápizes $20 ¿cuanto vale cada borrador y cada lápiz?


Por favor es urgente

Answers

Answer 1

Answer:

Cost of each pencil = $12.5

Cost of each eraser = $7.5

Step-by-step explanation:

Given:

Number of eraser bought = 3

Number of pencil bought = 2

Total amount paid = $47.50

Cost of one pencil and one eraser = $20

Find:

Each cost

Computation:

Let;

Cost of each eraser = e

Cost of each pencil = p

So,

e + p = 20

e = 20 - p .................................... eq1

3e + 2p = 47.50

3(20 - p) + 2p = 47.50

60 - 3p + 2p = 47.50

-p = -12.5

Cost of each pencil = $12.5

e = 20 - p

e = 20 - 12.5

e = 7.5

Cost of each eraser = $7.5


Related Questions

Find the intersection point between the lines of equations:

2x-y+6=0 and 2x+3y-6=0 ​

Answers

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]

On subtracting the given equations we have,

[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]

Put this value in any equation , we have ,

[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]

Hence the lines will Intersect at ,

[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]

for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x =  − 3 /2  y+ 3  and y= − 2 /3  x + 2

how i did this Step 1: Add -3y to both sides.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient

Answers

Answer:

-3/4

Step-by-step explanation:

The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]

Hence the slope of the line is -3/4 .

Given line segment AB with endpoints A(-1,7) and B(11, -1)
Find the length of AB.

Answers

Step-by-step explanation:

some to check if it correct

The length of the  line segment AB is 8.48 unit.

What does length mean?

The term used for identifying the size of an object or the distance from one point to another is known as length.

The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,

[tex]AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}[/tex]

Given that x1 = -1, x2= 11, y1= 7, and y2= -1.

Substituting the given values in the above equation

[tex]AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}[/tex]

[tex]AB=\sqrt{72} = 8.48[/tex]

Hence, 8.48 unit is the length of line segment AB.

To learn more about length, use the link given below:

https://brainly.com/question/8552546

#SPJ2

Can someone help me with this math homework please!

Answers

4. i believe would be D. subtract 1.1j from both sides.
5. x <_ 3
6. y=10

Answer:

Question 1: (C) Step 3

Question 2: (B) The 2nd graph from the left

Question 3: (A, B, D)

Question 4: (D) Subtract 1.1j from both sides

Question 5: (C) x <= 3

Question 6: (D) y = 10

Step-by-step explanation:

Question 1:

Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.

Question 2:

This questions requires you to have knowledge on how to graph lines.

g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.

The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.

Question 3:

A is correct because they added 3/5x and x, which is still equal to the original equation.

B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.

C is wrong because it's supposed to 30x, not just a regular x from the original equation.

D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.

E is wrong because they subtracted instead of adding the 6x.

Question 4:

All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.

Question 5:

Use basic algebra to sovle the inequality:

2(4 + 2x) >= 5x + 5

(distribute 2 to the (4 + 2x))

8 + 4x >= 5x + 5

(subtract 5 from both sides)

3 + 4x >= 5x

(subtract 4x form both sides)

3 >= x

x <= 3

Question 6:

Use basic algebra to solve for y:

2.8y + 6 + 0.2y = 5y - 14

(subtract 6 from both sides)

2.8y + 0.2y = 5y -20

(add like terms)

3y = 5y - 20

(subtract 5y from both sides)

-2y = -20

(divide both sides by -2)

y = 10

Hope it helps (●'◡'●)

Lisa plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.

Answers

Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies

HELPPP PLSSSSSSSSSSSSS

Answers

Answer:

x=(-1/10) is the answer of given algebra

Calculate the exact value of number one

Answers

Answer:

1. a. (ii) 1/27

Step-by-step explanation:

1st one is already given, I will give you the answer to the second one,

³√27/9²

= 3/81

= 1/27

Answered by GAUTHMATH

Answer:

17/42 or in decimal 0.405

Step-by-step explanation:

Add: 1 4/7+2/3- 1 5/6= 47/21- 1 5/6

Subtract: 47 - 1 5/6 = 17/42

Simplify: 17/42

What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]

Can someone please explain to me in details and show me the steps TvT?

Answers

Answer:

y = -2/7

Step-by-step explanation:

8^(y+2) = 2^4/4^(2y)

you want to on both sides so you can solve for the exponents

8= 2^3

4= 2^2

2^3y+6 = 2^4/2^(4y)

2^(3y+6) = 2^(4-4y)

3y + 6 = 4 - 4y

7y = -2

y = -2/7

A taxi firm charges a fixed cost of $10 together with a variable cost of $3 per mile. (a) Work out the average cost per mile for a journey of 4 miles. (b) Work out the minimum distance travelled if the average cost per mile is to be less than $3.25

Answers

Answer:

$5.5 per mile

40 miles

Step-by-step explanation:

Given :

Fixed cost = $10

Variable cost = $3

For a journey of 4 miles ;

Cost = fixed cost + Variable Cost

Cost = $10 + $3x

x = number of miles

Cost = $10 + $3(4)

Cost = $10 + $12 = $22

Average cost per mile for a journey of 4 miles

Cost / number of miles

$22 / 4 = $5.5 per mile

Minimum distance if average per mile is to be less Than 3.25

$3.25 = (10 + 3x) / x

3.25x = 10 + 3x

3.25x - 3x = 10

0.25x = 10

x = 10 / 0.25

x = 40 miles

What single decimal multiplier would you use to increase by 8% followed by a 9% increase?

Answers

The answer is 1.1772

Answer:

1.1772 is the single decal multiplier which should be used.

Step-by-step explanation:

Let the initial value be X.

After 8% increase, the value is =((100+8) /100) ×X = 1.08X.

Again after 9% increase, the final value is =((100+9) /100) ×1.08X =(1.09) ×(1.08) X =1.1772X.

This single decimal multiplier which should be used is 1.1772

Engineers want to design seats in commercial aircraft so that they are wide enough to fit ​99% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in. Find p99. That​ is, find the hip breadth for men that separates the smallest ​99% from the largest ​1%. The hip breadth for men that separates the smallest ​99% from the largest ​1% is p99= how many inches

Answers

Answer:

p99 = 16.4 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.

This means that [tex]\mu = 14.3, \sigma = 0.9[/tex]

Find p99.

This is the value of X when Z has a p-value of 0.99, so X when Z = 2.327. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 14.3}{0.9}[/tex]

[tex]X - 14.3 = 0.9*2.327[/tex]

[tex]X = 16.4[/tex]

So

p99 = 16.4 inches

Which statement is an example of the symmetric property of congruence

Answers

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

In a survey of 24 pupils 1/3 liked football best 1/4 liked basketball,3/8 liked athletics and the rest liked swimming.How many liked swimming?

Answers

Answer:

[tex]24 \times \frac{1}{3} = \frac{24}{3} = 8[/tex]

8 pupils like football

[tex]24 \times \frac{1}{4} = \frac{24}{4} = 6[/tex]

6 pupils like basketball

[tex]24 \times \frac{3}{8} = \frac{72}{8} = 9[/tex]

9 pupils like athletics

and how many liked swimming?

8 + 9 + 6 = 23 pupils

24-23 = 1 pupils liked swimming

GOOD LUCK ツ

The formula for the circumference of a circle is R = c/2(pi)

Find the radius of a circle that has a circumference of 16(pi)

A) r = 4
B) r = 8
C) r = 12
D) r = 16

Answers

The answer is B) r= 8

Write a pair of integers whose sum gives: a) a negative integer
b) zero
c) an integer smaller than the both integers

Answers

Answer:

a) 4-5 = -1

b) -6+6 = 0

c) 6+(-4) = 2

The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation

Answers

Hello,

Answer D

-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k

(-2,18) is a point of the curve:

18=k*(-2)²-8k-32k

-36k=18

k= - 1/2

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

WILL GIVE BRAINLIEST IF CORRECT!

Write an equation that represents the line. Use exact numbers.

Answers

Answer:

y=0.5x-3.5

Step-by-step explanation:

(-4)-(-5)=1

3-1=2

1/2=0.5

y=0.5x-3.5

Answer:

[tex]y=-2y-7[/tex]

Step-by-step explanation:

Coordinates plotted on the equation:

[tex](1,-4)[/tex]

[tex](4,-5)[/tex]

{check the image for your reference}

Point D is the incenter of triangle BCA. If mZFHG = 61°, what is the measure of 2FDG?​

Answers

Answer:

122

Step-by-step explanation:

The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle

∠FDG = 2*FHG

          = 2 * 61

         = 122°

Answer:

122

Step-by-step explanation:


Help and explain pls and thankyouu

Answers

Hello,

1)

[tex]\left\{\begin{array}{ccc}2x-y&=&7\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2y&=&16\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&8\\-2x+3*8&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&7.5\\y&=&8\\\end{array} \right.\\\\[/tex]

Answer C

2)

[tex]\left\{\begin{array}{ccc}x-2y-3z&=&5\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2x&=&12\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&6\\2y+3z&=&1\\z&=&-3\\\end{array} \right.\\\\\\\\\left\{\begin{array}{ccc}x&=&6\\y&=&5\\z&=&-3\\\end{array} \right.\\\\\\[/tex]

Answer C

Which of the following is an arithmetic sequence

Answers

Answer:

First one.

-3 is added to the previous term.

2,4,8,16,32B,3,6,9 etc this are arithmetic sequence

my friend took time to round once around a circular field is 30seconds. Calculate the area of field of the school of his speed is 90 meter/sec​

Answers

Answer:

im bad at math but i think its 120

It should be 120 hopefully this helps

A heel travels 850 miles in 28 gallons of gas. How many miles does it travel in one gallon of gas

Answers

Answer:

850/28=30 miles a gallon

Step-by-step explanation:

mark as brainlist

What is the volume of the rectangular prism below? ⊕

Answers

Answer:

32cm³ is the volume of the given rectangle.

Step-by-step explanation:

volume of rectangle=l×w×h

2×4×432cm³

hope it helps

stay safe healthy and happy..

Answer:

bro i go to your school

lol

Step-by-step explanation:

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3 / 2 - (-1)

-6 / 3

= -2

y = -2x + b

3 = -2(-1) + b

3 = 2 + b

1 = b

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

Area of a triangle=1/2×base x height

Let y represent the height

50cm²=1/2×20cm×y

50cm²=10cm×y

50cm²/10cm=10cm×y/10cm

5cm=y

therefore the height of the triangle is 5cm

Area of a trapezoid=1/2×a+b×height

let h represent the height

42cm²=(1/2×14cm+7cm)×h

42cm²=1/2×21cm×h

42cm²=21cm×h/2

42cm²×2=21cm×h(cross multiply)

84cm²=21cmh

84cm²/21cm=21cmh/21cm

4cm=h

Therefore the height is 4cm

What is the range of the given function ?
{(-2,0),(-4,-3),(2,-9),(0,5),(-5,7)}

Answers

Answer:

{0,-3,-9,5,7}

Step-by-step explanation:

range = all y values

function =(x,y)

so all the second values are ranges

Which of the following equations correctly represents the law of cosines?

A. 2 = 22 + b2 - 2ab.cos(B)
B. 2 = 22 + c2 - 2ac.cos(C)
C. a2 = b2 + c2 - 2bc.cos(A)
D. b2 = 22 +62 - 2bc.cos(B)

Answers

Answer:

D. b2 = 22 + 62-2bc.cos(B)

Find x

Help me please

Answers

Answer:

x=31.2

Step-by-step explanation:

Since angle C is 4x-10 and angle A is 2x+3

then the two angles combined should equal 180 (based off of the inscribed quadrilateral theorem)

4x-10+2x+3=180

6x-7=180

6x=187

x=31.166...

if you round it to the nearest tenth it would be 31.2

The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x=[tex]\sqrt{18}[/tex]

x=[tex]\bold{3\sqrt{2}}[/tex]

The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]

Let the perpendicular base be x.

Given the following data:

Hypotenuse = 6 units.

To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:

What is the Pythagorean Theorem?

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]c^2 = a^2 + b^2[/tex]

Substituting the given parameters into the formula, we have:

[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units

Answers

Answer:

4 sq. units

Step-by-step explanation:

Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.

We can see that for this polygon, opposite sides are parallel and equal to each other.

To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:

The length is the distance between (1, 2) and (3, 2):

[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]

The breadth is the distance between (3, 2) and (3, 0):

[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]

Since length = breadth, hence this is a square.

Area= length * breadth = 2 * 2 = 4 sq. units

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