Tres hermanos pintarán la fachada de su casa. Alejandro pinta
3
8
de la casa durante el primer día.

Alberto pinta
4
9
de la casa durante el segundo día. Para el tercer día, Alan debe pintar lo que queda.

¿Qué porción de la casa le corresponde pintar a Alan?

Answers

Answer 1

Answer:

La porción de la casa que le corresponde pintar a Alan es [tex]\frac{13}{72}[/tex]

Step-by-step explanation:

Sabes que Alejandro pinta 3/8 de la casa durante el primer día, mientras que Alberto pinta 4/9 de la casa durante el segundo día. Entonces, la porción pintada de la casa durante esos dos días es la suma entre la porción pintada por Alejandro y la porción pintada por Alberto:

[tex]\frac{3}{8} +\frac{4}{9}[/tex]

Un método para sumar fracciones con distinto denominador consiste en buscar el común denominador de las fracciones que se van a sumar. Para ello se multiplica los denominadores de las fracciones: 8*9= 72. El común denominador se divide entre el denominador de la primera fracción.   El resultado de la división se multiplica por el numerador de la misma fracción. Una vez que se divide y se multiplica, el resultado se coloca en el numerador con el signo correspondiente. Se realiza el mismo procedimiento con la otra fracción y se realiza la suma con los numeradores resultantes.

Entonces, en este caso se obtiene:

[tex]\frac{3}{8} +\frac{4}{9}=\frac{27+32}{72} =\frac{59}{72}[/tex]

Entonces, para calcular la porción de la casa que le corresponde pintar a Alan, y considerando que 1 representa un entero, la totalidad de la casa que se desea pintar, se realiza la resta entre la totalidad de la fachada a pintar y la porción pintada por Alejandro y Alberto:

[tex]1-\frac{59}{72}[/tex]

Considerando que el procedimiento de la resta es similar a la suma, se obtiene:

[tex]1-\frac{59}{72}=\frac{72-59}{72} =\frac{13}{72}[/tex]

La porción de la casa que le corresponde pintar a Alan es [tex]\frac{13}{72}[/tex]


Related Questions

Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?

Answers

Answer:

The E came before H

Step-by-step explanation:

ARE THESE FUNCTIONS
-TABLE A IS A FUNCTION
-TABLE B IS A FUNCTION
-NEITHER
-BOTH
HELP

Answers

neither is a function

9514 1404 393

Answer:

  Table B is a function

Step-by-step explanation:

The relation shown in a table is NOT a function if the same input value gives different output values.

In Table A, input Taurus gives different outputs, so Table A is NOT a function.

In Table B, there are no repeated inputs, so Table B IS a function.

True or false is a relation in which each y value has only 1 x value

Answers

Answer:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

Step-by-step explanation:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

The reason is very clear that we can not have the repeated x-values (two same x-values).

For example, given the set of the ordered pairs of a relation

{(3, a), (6, b), (6, c)}

As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.

In order to be a function, a relation must have only 1 x-value for each y-value.

Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.

Solve this system of equations, then determine what y equals.

x + 5y= 7

2x + 4y = -4

Answers

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.

Answers

Answer:

He will receive $1, 400 for interest

&

A total amount of $6, 400

Step-by-step explanation:

To find the interest, we must apply the following formula:

I = P × R × T

I represents interest

R represents rate

T represents time

P represents principle

Steps:

1. Change the rate, which is 2%, into a decimal.

2. Multiply the principle, which is 5,000, by the rate, which is 0.02.

3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.

So he will receive $1, 400 interest.

To find the total amount he recieved, we must:

Add the principle, which is 5,000, and the current interest, which is 1, 400.

5,000 + 1,400= 6,400

He will receive a total of $6, 400

I hope this helps! I'm sorry if it's wrong.

5x + 260 = -8x + 650 I got 75 but it was wrong

Answers

-260

then

-5x

-13x+390

-390

/-13

=

Answer:

x=30

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12

Answers

Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)
Here you go!! Hope this helps!

I WILL MARK BRAINIEST

Answers

Answer:parallel

Step-by-step explanation:

Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

B. Side angle side
Both have two congruent sides and one congruent angle

Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?

Answers

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

Will Give brainliest 40 POINTS
In the figure above, lines l and m are parallel. What is the value of x?

Select one:
A. 55
B. 57
C. 61
D. 63

Answers

Answer:

55

Step-by-step explanation:

Please let me know if you need an explanation.

The answer in 55 please mark the Brainlyiest

triangle sum theorem
WILL MARK BRAINLIEST

Answers

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Find the x-intercept and y-intercept of the line. 3x-6y=12

Answers

Answer:

the y- intercept is "3" and the x- intercept is "6"

Step-by-step explanation:

How do I get the fractional form for cos 4π/3?

Answers

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

cos

(

π

+

π

3

)

=

cos

π

cos

(

π

3

)

sin

π

sin

(

π

3

)

=

(

1

)

(

1

2

)

(

0

)

(

3

2

)

=

1

2

The answer is -1/2 !!!

A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?

PLEASE BE CORRECT

Answers

Answer:

$412.50

Step-by-step explanation:

[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]

hii guys happy chota dipawali​

Answers

Answer:

yay thats so coolllllllll

Hiiiiiii :) how are you all?

find the value of x that makes m||n

Answers

Answer:

x = 6

Step-by-step explanation:

In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.

16x - 6 = 90

Let's solve for x:

First add 6 to both sides to isolate the 16x:

16x - 6 + 6 = 90 + 6

16x = 96

Now divide both sides by 16 to isolate the x:

16x/16 = 96/16

x = 6

The value of x has to be 6 in order for m to be parallel to n.

Pythagorean theorem: Manuel purchases a rectangular picture
frame that has a diagonal measure of
17 inches and a height of 8 Inches. What is
the width of the picture frame?

Answers

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

The science department orders a new telescope and pays $253.87 after taxes.The tax rate is 6%. What was the original price of the telescope?

Answers

The original price would be $239.5, you can solve this by using proportions

please help me thanks

Answers

Answer:

It is 61 degress an acute angle.

Step-by-step explanation:

4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.

Answers

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad

Answers

I believe you answer would be $4 + $0.85t =$9.95

Answer:

7

Step-by-step explanation:

c = $0.85t+$4

$9.95 = $0.85t+$4

$9.95-$4 = $0.85t

$5.95 = $0.85t

$5.95/$0.85 = t

7 = t

if a triangle has a side length of 10
12 and 15 what type of triangle is it

Answers

Acute. Step-by-step explanation: Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.

Solve using substitution.

x − 4y = –14
3x + 8y = 18
ordered pair=?help

Answers

Answer:

(-2,3) if your doing substitution

(-2,3) for Elimination

Step-by-step explanation:

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

Answers

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

What steps would you follow in order to solve the equation?

w/8 - 4 = 20

add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8

Answers

Answer:

128

Step-by-step explanation:

Step one:

given the expression w/8 - 4 = 20

the first operation is to isolate the term that has w by adding 4 to both sides

w/8 - 4+4 = 20+4

w/8 = 16

Required

the value of w

Step two:

the next step is to cross multiply

w=16*8

w=128

During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.

Answers

Answer: Marcus is correct.

i got it right on Edge2020

Step-by-step explanation:

Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.

Marcus's claim is correct.

The triangles are given as: ΔTSR and ΔUSV

By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.

So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.

Hence, Marcus is correct, and Sam is not.

Read more about transformation at:

https://brainly.com/question/4539110

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

The question is this: Rationalize the denominator and simplify.

Plssss hurry & answer this!!!!

Answers

9514 1404 393

Answer:

  [tex]\dfrac{20+5\sqrt{3}}{13}[/tex]

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

  [tex]\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}[/tex]

__

This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

  a² - b² = (a -b)(a +b)

If you understand similar figures you will get this because I don't

Answers

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

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