A
Para resolver los siguientes casos, plantea sistemas de
ecuaciones en tu cuaderno y encuentra los valores de las
incógnitas.
1. Horacio quiere poner una hamaca en su jardín. Tiene una cuer-
da que mide 14 metros para amarrar los dos extremos de la
hamaca, por lo que decide cortar la cuerda en dos. Si un pedazo
de cuerda mide 4 metros más que el otro, ¿cuánto miden las
nuevas cuerdas?

2. Imagina que vas a la tienda con un amigo y compras 6 paletas
y 2 gomitas. Tu amigo pide 1 paleta y 10 gomitas. Si tú pagas
$24 y tu amigo $33, ¿cuánto cuestan las gomitas y las paletas?






porfavor ayuda es para una tarea de mañana antes de las 8​

Answers

Answer 1

Answer:

1 La longitud de las nuevas cuerdas = 5 metros y 9 metros

2 El costo de las paletas = $ 3

El costo de las gomitas = $ 3

Step-by-step explanation:

1) Sea la primera mitad de la cuerda representada por = a

Deje que la segunda mitad de la parte superior esté representada por = b

a + b = 14 metros

De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra

a = b + 4

Por lo tanto

b + 4 + b = 14 metros

2b + 4 = 14 metros

2b = 14 - 4

b = 10/2

b = 5 metros

a = b + 4

a = 5+ 4

a = 9 metros

Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros

2)

Representemos el costo de las paletas = p

Costo de gomitas = g

De la pregunta 2 se nos dice que:

Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24

Por tanto: 6p + 2g = 24 ....... Ecuación 1

Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33

p + 10g = 33 ....... Ecuación 2

p = 33 - 10g

Sustituya p por 33 - 10g en la Ecuación 1

6p + 2g = 24 ....... Ecuación

6 (33-10 g) + 2 g = 24

198 - 60 g + 2 g = 24

-58g = 24-198

-58g = - 174

g = -174 / -58

g = $ 3

Para encontrar p

p = 33 - 10g

p = 33 - 10 × 3

p = 33 - 30

p = $ 3

Por lo tant,

El costo de las paletas = $ 3

El costo de las gomitas = $ 3


Related Questions

Solve.
4y - 3 = 5y + 2
Enter your answer in the box.
y = O

Answers

Answer:

y=-5

Step-by-step explanation:

Answer:

it's -5

Step-by-step explanation:

4y−34y−3−4y−3−3−2−5=====5y+25y+2−4yy+2y+2−2ySubtract 4y from each side.Combine like terms.Subtract 2 from each side.Simplify.

The retail inventory value of an item is the item's retail price times the quantity in stock. If a pack of cookies' retail price is $2.98 and there are 9 items in inventory, what is the total retail value?

Answers

Answer:

$26.82

Step-by-step explanation:

9 * 2.98 = 26.82

pls mark brainliest, thanks :)

Josiah bought 22 chicken wings for $26.40. How much would it cost for 9 wings?

Answers

Answer:

it would cost $10.8 for 9 chicken wings.

Step-by-step explanation:

Cost of 22 chicken wings = $26.40

we have to find first, cost of 1 chicken wings

For that we divide both side by 22

cost of 22/22 chicken wings = $26.40/22 = 1.2

Thus, cost of 1 chicken wings = $1.2

to fins cost of 9 chicken wings

we multiply both sides by 9

cost of 1*9 chicken wings = $1.2*9

cost of 9 chicken wings = $10.8

Thus, it would cost $10.8 for 9 chicken wings.

the answer to your question is 10.8

Which is the definition of a ray?a part of a line that has one endpoint and extends indefinitely in one direction the set of all points in a plane that are a given distance away from a given point lines that lie in the same plane and do not intersect part of a line that has two endpoints

Answers

Answer:

a part of a line that has one endpoint and extends indefinitely in one direction-by-step explanation:

The definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

What is a Ray?

In geometry, a ray can be defined as a line segment that has one endpoint and extends on the one direction of the line segment indefinitely.

An example of a ray is shown in the image attached below. Line segments red and blue are two rays with one endpoint that extends towards another direction indefinitely.

Therefore, the definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about a ray on:

https://brainly.com/question/1850410

Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D​

Answers

Answer:

See answer below.

All you have to do is input the equation into the square root formula.

Step-by-step explanation:

Answer:

x =

2 , 8

Step-by-step explanation:

(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25

          = x² - 10x + 25

x² - 10x + 25 = 9

x² - 10x + 25 - 9 = 0

x² - 10x + 16 = 0

x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)

x = {10±√(100-64)} / 2

x = {10±√36} / 2

x = {10±6} / 2

x₁ = {10-6} / 2 = 4/2 = 2

x₂ = {10+6} / 2 = 16/2 = 8

Check:

x₁

(2-5)² = 9

-3² = 9

x₂

(8-5)² = 9

3² = 9

What is the equation to the expression -2-3(-4)?​

Answers

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.

Answers

Answer: Please find the attached file for the graph and find the answer in the explanation

Step-by-step explanation:

Let first calculate the normal time each of them will reach the 92 feet distance.

For senn

Time = 92/5 = 18.4 minutes

That means in 18.4 minutes the two other friends must reach the point at 92 feet.

Calculate the distance at the time for each of the friends.

For Ms Lady

Time = 92/4 = 23 minutes

Distance = speed × time

Distance = 4 × 18.4 = 73.9

92 - 73.6 = 18.4 feet

For Ms Beetle

Time = 92/2.5 = 36.8 minutes

Distance = 2.5 × 18.4

Distance = 46 feet

92 - 46 = 48 feet

Therefore, Senn must give a head start of 18.4 feet for Ms Lady

And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).

Their equation will be

Ms Lady

Y = 4x + 18.4

Ms Beetle

Y = 2.5x + 48

Ms Senn

Y = 5x

Answer:

Chips are good!

Step-by-step explanation:

how to solve the equation 2= -9n +22-n

Answers

Answer:

n = 2

Step-by-step explanation:

2 - 22 = -9n + 22 - n - 22

-20 = -9n - n

-20 = -10n

-20/-10 = -10/-10n

-2 = -n

n = 2

Answer:

The value of n is 2.

Step-by-step explanation:

First, you have to collect like-terms :

[tex]2 = - 9n + 22 - n[/tex]

[tex]2 = - 10n + 22[/tex]

Next, you have to subtract 22 on both sides :

[tex]2 - 22 = - 10n + 22 - 22[/tex]

[tex] - 20 = - 10n[/tex]

Lastly, have to divide -10 on both sides :

[tex] - 10n = - 20[/tex]

[tex] - 10n \div - 10 = - 20 \div - 10[/tex]

[tex]n = 2[/tex]

Evaluate –32 + (2 – 6)(10

Answers

Steps to solve:

-32 + (2 - 6)(10)

~Simplify

-32 + (-4)(10)

~Multiply

-32 - 40

~Subtract

-72

Best of Luck!

Answer:

The answer is -49

Step-by-step explanation:

The equation is: –32 + (2 – 6)(10).

Then u have to do PEMDAS

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

you follow the steps to get -49

Demi traveled 480 miles in 6 hours. What was her average speed in miles per hour?

Answers

The classic formula relating rate (also called “average speed”), time and distance is:

r x t = d

That is, rate x time equals distance. The problem statement asks us for the rate and gives us the time (6 hours) and distance (480 miles). We can substitute those values into the classic formula:

r x 6 hours = 480 miles

To solve for r, we divide the terms on both sides of the equal sign by 6 hours. This works because the two sides are equal and we treat them equally by dividing the two sides by the same amount, so the results should be equal. Thus we get:

r = 480 miles/6 hours

Simplifying, we get:

r = 80 miles/hour

To CHECK, let’s plug back into the original equation:

r x t = d

80 miles/ hour x 6 hours = 480 miles

480 miles = 480 miles which is true. Yippee.

A 150 foot fence encloses a garden. What is the length of each side of the garden?

Answers

15ft, 45 ft , 30 ft and 60 ft

The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.

Answers

1st find the z. Well 4z+3 is on both sites so 8z+6 and 5z+1 times 2 is 10z+2
add them and you get 12z+8=224
Now take away 8 from both sides to make it 216 and divide both sides by 12 and you get 18. Now just plug in the variable so 4x18+3 which is 75. And if it is a rectangle then it will be the same on both ends.


PQ=75

Jeri drew the following model to represent the fraction 2/3. What's wrong with her model? had to redo it

Answers

Answer:

It is not an equal diagram it is showing 1/2 instead of 2/3

Step-by-step explanation:

HOPE THIS HELPS!!!     (mark brainliest)

The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The model is representing 2/3.

As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.

It is not an equal diagram it is showing 1/2 instead of 2/3

Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

A triangle measures 12 degrees and 40 degrees what is the measurement of the 3rd angle of the triangle

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]

Step-by-step explanation:

Sum of angles of triangle add up to 180°

Let the third angle be x

Create an equation and solve for x

[tex] \sf{x + 12° + 40° = 180°}[/tex]

[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]

[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]

Hope I helped!

Best regards! :D

need help solving 3/5+1/4=​

Answers

Answer:

17/20 or 0.85

Step-by-step explanation:

3 x 4/20 + 1 x 5/20

12/20 + 5/20

( 12 + 5 ) / 20

17/20

( 0.85 )

need answer asap pleasee

Answers

The answer should be (1,5)
The answer might be (1,5)

y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well

Answers

Answer:

3x-y=-13

Step-by-step explanation:

y-3x=13

Use the commutative property to reorder the terms

-3x+y=13

Change the signs on both sides of the equation

3x-y=-13

(-8p^3+9p^2q)+(8p^3-pow+5q^2)

Answers

Answer:

-1opw+9p^2q+5q^2

Step-by-step explanation:

rx - sx + y = b solve for y

Answers

Answer:

y =  b-rx+sx

Step-by-step explanation:

rx - sx + y = b

Subtract rx from each side

rx-rx - sx + y = b-rx

-sx +y = b-rx

Add sx to each side

sx - sx + y = b-rx+sx

y =  b-rx+sx

$1,672.68
$287.84
$12.32

Answers

Answer:

$1672.68

Step-by-step explanation:

1,672.68

explanation:

A small family home in Tucson, Arizona has a rooftop area of 1967 square feet, and it is possible to capture rain falling on about 61.0% of the roof. A typical annual rainfall is about 14.0 inches. If the family wanted to install a tank to capture the rain for an entire year, without using any of it, what would be the required volume of the tank in m3 and in gallons

Answers

Answer:

Required of volume of tank = 39.62 m3 or 10471.18   gallons

Step-by-step explanation:

Total volume of water collected = Annual Rainfall * Useful Area

Total volume of water collected = 1199.87 * 1.1667

Total volume of water collected = 1399.89 ft3

---1 ft3 = 7.48 gallons

Hence, total volume of water collected in gallons = 1399.89 * 7.48 = 10471.178  gallons

----1 ft3 = 1/35.315 m3 = 0.0283 m3  

Therefore total volume of water collected in m3 = 1399.89 * 0.0283 = 39.6169 m3

Workings

Useful area = 61% of 1967

Useful area = 0.61 * 1967

Useful area = 1199.87 sq/ft.

Annual rainfall = 14 inch = 14/12 month

Annual rainfall = 1.1667 ft.

Round 3,760 to the nearest hundred.

Answers

Answer:

3,800

Step-by-step explanation:

Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."

Hope this helps and have a nice day!

Answer:

3,800

I hope this helps!

In one day at a store, 7% of the sales were
from shoes. Write 7% as a decimal.

Answers

Answer:

0.07

Step-by-step explanation:

Anwser: Your anwser is 0.07

A candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answers

Answer:

120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

Step-by-step explanation:

We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.

Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.

So, according to the question;

x + y = 150 ------------ [equation 1]

and [tex]30\% \text{ of } x + 40\% \text{ of } y=32\% \text{ of } 150[/tex]

[tex]30x+40y= 32 \times 150[/tex]

[tex]30x+40\times (150-x)= 4800[/tex]

[tex]30x+6000-40x= 4800[/tex]

[tex]10x = 6000-4800[/tex]

[tex]x=\frac{1200}{10}[/tex]

x = 120 kg

Now, putting the value of x in equation 1, we get;

x + y = 150

120 + y = 150

y = 30 kg

Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

Solve for the valid solution set: x−3≥2 or x+5≥7

Answers

Answer: X ≥ 5 or X ≥ 2

Step-by-step explanation:

Add 3 to both sides for the first equation

x ≥ 5

and subtract 5 from both sides for the second one

x ≥ 2

The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?

Answers

Answer:

12

Step-by-step explanation:

what does ="" mean ?

Answers

PLEASE GIVE BRAINLIST

equal

quotation marks

HOPE THIS HELPED

Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11

Answers

I believe it should be 0.5 x 7 as that is in a bracket and you have to deal with the bracket first before dealing with numbers outside the bracket.

Answer:

0.5 x 7

Step-by-step explanation:

hope this helps

How do you know that 8 thousandths is less than 1 hundredth

Answers

Because the hundredths is between 10-99 and thousandths is between 100-999

Consider the diagram Lines AC and RS are A coplanar. B parallel. C perpendicular D skew.​

Answers

Answer: The answer is skew!

Step-by-step explanation:h

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew.

From the diagram, we have two planes.

Plane xPlane y

Line AC is on plane x, while line RS is on plane y

Plane x and plane y are not parallel;

So lines AC and RS are not parallel.

Also, both lines are not parallel.

Using the condition of skewness stated above, we can conclude that line AC and RS are skew.

Read more about skewness at:

https://brainly.com/question/1995934

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