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?
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]
Completing Proofs Involving Linear Pairs
Given: m ZELG = 124°
Prove: x = 28
Statements
Reasons
1. m ZELG = 124
1. given
2. m ZELD = 2x
2. given
H
L
3. ZELG and ZELD are
a linear pair
3. definition of a linear pair
(2x)
G
4. m ZELD + m ZELG = 180
4.
Ε
• F.
5. 2x + 124 = 180
5. substitution
Complete the steps in the two-column proof.
6.
6. subtraction property
7. x = 28
7. division property
Intro
Done
vity
Answer:
1. angle addition post
2. 2x=56
The corresponding angles of the lines solved and the value of x = 28°
What are angles in parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Given data ,
Let the measure of ∠ELG = 124°
The measure of ∠ELD = 2x
∠ELG and ∠ELD are a linear pairs of angles
So , the measure of ∠ELG + ∠ELD = 180°
On simplifying , we get
2x + 124° = 180°
Subtracting 124° on both sides , we get
2x = 56°
Divide by 2 on both sides , we get
x = 28°
Therefore , the value of x is 28°
Hence , the angle is x = 28°
To learn more about angles in parallel lines click :
https://brainly.com/question/27400033
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m/9 - 9 = -8. please help
Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?
Answer:
To do this, you need to find the amount of discount of the original price. To find a percent of a number you first convert the percent to a decimal (i.e. 25% = 0.25). Then you multiply this decimal by the original price. Therefore, the sale price is $17.21. If example.
Step-by-step explanation:
Answer:
102.144
Step-by-step explanation:
128 times 0.25 = 32
128 - 32 = 96
96 times 1.064 = 102.144
She will need to pay 102.144
x+4 over negative 5 =3
Answer:
x = -4 3/5 or -4.6
Step-by-step explanation:
(x+4)/-5 = 3
Divide -5 from both sides
x + 4 = -3/5
Subtract 4 from both sides
x = -4 3/5
Help me plzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
you can't get the answer if you don't know x
Mae Ling earns a weekly salary of $390 plus a 5.0% commission on sales at a gift shop.
How much would she make in a work week if she sold $4,100 worth of merchandise?
Answer:
$595 dollars in a week
Step-by-step explanation:
We know that Mae Ling earns $390 per week plus sales commissions of 5.0%, if we express this would be: (x refers to sales)
[tex]Earnings = $390 + 0.050x[/tex]So, it would be:
[tex]Earnings = $390 + 0.050(4100) = $595[/tex]Add 3 level scoops of mini chocolate chips and 1 level scoop of raisins to Container 1. If each scoop has the same number of items, what percent of the items in Container 1 are mini chocolate chips? (This value is known as the percent concentration of chips.) Explain how you decided. Label the container appropriately Answer: 50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50% Add 2 scoops of mini chocolate chips and 3 scoops of raisins to Container 2. What is the percent concentration of mini chocolate chips? Explain how you decided. Label the container appropriately. Stir the chips and raisins in each container to ensure that the chips and raisins are evenly mixed.
Answer:
Container 1
The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.
Container 2
The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.
Step-by-step explanation:
Container 1
Mini Chocolate Chips: Raisins
3 scoops: 1 scoop
The percentage of mini chocolate chip is 3/4 * 100= 75 % to raisins.
Container 2
Mini Chocolate Chips: Raisins
2 scoops: 3 scoop
The percentage of mini chocolate chip is 2/5 * 100= 40 % to raisins.
This is simplified with the help of the ratios . We find out the ratio of the mini chocolate to the total of both the ratios and mulitply it with 100 to get the percentage concentration.
estimate 1scoop chips and 2scoops rice percentage
Mr.Hollis determines that he gives away $800 each month if he gives away 16% of his budget, how much is his overall budget
At the beginning of a baking session, there were 2.26 kilograms of flour in a bag. By the end of the baking session, there were 0.98 kilograms of flour in the bag. What is the percent decrease in the amount of flou
Answer: 56.64%
Step-by-step explanation:
Given: Previous amount of flour = 2.26 kilograms
By the end of the baking session, amount of flour = 0.98 kilograms
Decrease in amount = 2.26-0.98 = 1.28 kilograms
Percent decrese = [tex]\dfrac{\text{decrease in amount }}{\text{previous amount}}\times100[/tex]
[tex]=\dfrac{1.28}{2.26}\times100\approx56.64\%[/tex]
Hence, the percent decrease in the amount of flour = 56.64%
Plzzzzzz helpppppppppppp
No like for real I don’t understand:(
Answer: Yes, No
Step-by-step explanation:
The sum of two numbers is 22 and the sum of their squares is 250. Find the following information numbers
Answer:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE100016784994
Step-by-step explanation:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Find the percent increase round to the nearest percent
From 42 acres to 72 acres
Answer:
58.333333 percent
Step-by-step explanation:
58 percent
I took 42 divided by 72 times 100
Some equations have the form y=kx, where k is a number.
Which equation CANNOT be written in the form y=kx?
y=x
y=x+3
y/2=x
y= ‐1/10x
Answer:
y=x+3
Step-by-step explanation:
The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:
y=x is possible if the value of k is 1, provided that both y and x are of the same value.
y/2=x is possible because y=2x, provided that 2 is the value of k.
y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.
did you know that if you smile you can breath.
just kidding just wanted to see you smile
Answer:
How do I keep falling for this trick!???
Awwwwwwwwwwww tyyyyy <3
How do you write this in index form?
The general form is nthroot{a} in index form looks like this: a^(1/n).
Let's rationalize the denominator first.
Doing so, we get (1/2)sqrt{2}.
In index form, the sqrt{2} = 2^(1/2).
We now have (1/2)[2^(1/2)].
Is this clear?
Name a set of vertical angles
Answer:
EKH and FKG
Step-by-step Explanation:
you could choose any sets with a common vertex. i just chose those two
can someone please help and explain
Answer:
Im not sure how you are supposed to answer this but they are similar by side angle side
Step-by-step explanation:
We are given that NO/OQ=PO/OM
This tells us that the sides are in a ratio.
We also know that angle NOM is equal to angle POQ
Now we have 2 sides and 1 angle thus they are similar by side angle side
I hope this helps you come up with your statements and reasons
Answer:
I think the answer is scalpel porators
Step-by-step explanation:
Find the center and radius of the equation of the circle
a). x2 + y2 – 8x +6y + 9 = 0
Compare the given equation with the general equation of a circle
Given equation: x² + y² - 8x +6y +9 = 0
Equation of a circle: x² + y² + 2gx + 2fy + c = 0
2g= -8; g = -8÷2= -4
2f = 6; f = 6÷2 = 3
c= 9
Solving for radius of the circle...
r =√g² + f² - c
g= -4, g² = ±16
f = 3, f² = 9
Substituting, we have
r = √16 + 9 - 9
r = √25-9
r=√16
r = 4
Therefore, the centre and radius of the circle is 9 and 4 respectively.
Hope this helped!
Please mark brainliest;-)
hey, this is homework that is due today❤️ feel free to help thank you ☺️ have a g❤️❤️d day☺️
Answer:
About $1.82
Step-by-step explanation:
Q» 7. A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram On O 1,017.88 in. O 254.47 in.3 O 84.82 in. 9 in. O 339.29 in. 3 CLEAR ALL 6 in. Which measurement is closest to the volume of the party hat in cubic 2.
Answer:
The answer is 84.82 in^3
Step-by-step explanation:
What is the volume of a container that is 5cm tall by 10cm long and 4cm deep
Answer:
200cm³
Step-by-step explanation:
lenght×width×height=Volume
10cm×4cm×5cm=200cm³
let a(-a -b) b(-a -b) distance between two points
fast
Answer:
A(-a,-b)and B(-a,-b) be
distance between AB= square root(x2-x1)^2+(y2-y1)2
AB= square root (-a)-(-a)^2+(-b)-(-b)^2
AB= squareroot (-a+a)^2+(-b+b)^2
AB= square root (0)^2+(0)^2
AB=square root 0+0
AB= square root 0
AB=0 answer
this may help you !!!!!
A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16. a. Write a binomial that represents the width of the pool. b. Find the perimeter of the pool when the width of the deck is 17 feet.
Answer:
Step-by-step explanation:
First we need to factorize the given area of the rectangle as shown;
Given
A(x) = x^2-10x+16
Factorize
A(x) = x²-8x-2x+16
A(x) = (x²-8x)-(2x+16)
A(x) = x(x-8)-2(x-8)
A(x) = (x-2)(x-8)
Since area of a rectangle = length ×width
Hence the binomial that represents the width of the pool is w(x) = x-2
b) If the width of the deck is 17feet
Width = x-2
17 = x-2
x = 17+2
x = 19feet
Get the length
Length = x-8
Length = 19-8
Length = 11
Get the perimeter
P = 2(L+W)
P = 2(17+11)
P =2(28)
P = 56feet
Perimeter of the deck is 56feet
A tanker truck fills the gas station's reservoir at the rate of 1212 gallons per minute. If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir? Round your answer to the nearest tenth.
Answer: 2.9 minutes.
Step-by-step explanation:
Given: Rate of filing the tank = 12 gallons per minute
Total volume of reservoir = 35 gallons
Time taken to fill the reservoir = [tex]\dfrac{\text{Total volume of reservoir }}{\text{Rate of filing the tank}}[/tex]
[tex]=\dfrac{35}{12}\approx2.9[/tex]
hence, time taken to fill the reservoir = 2.9 minutes.
what is -40+7r=-5(8+5r)
Answer:
r= -40/9 or r=-4 4/9
Step-by-step explanation:
You're welcome :)
please help me with my homework my friends won’t
Answer:
Part A
1. Celsius
2. 100 C
3. 273.15 Kelvin.
4. 273, formula: °C + 273.15 = K.
5. -273 celsius
6. Farenheit
Part B:
7. True
8. False, you add not subtract.
9. False, it's 373.1 K
10. True
Find the length of side x in simplest radical form with a rational denominator.
WILL GIVE BRAINLIEST!!!
Answer:
x=3
Step-by-step explanation:
The triangle has angles 30,60,90
In this type of right triangle, the ratio of the sides is 1:square root of 3:2
In this type of triangle, the square root of 3 is equal to the 1 in the ratio above because it is across from the angle 30
With this, we multiply the ratio at the top by the square root of 3
since x is across the angle 60, we multiply square root of 3 by the square root of 3 which equals 3.
I hope this makes sense
Multiply. Answer with a mixed number in simplest form.
5 x 2 1/4
Answer:
The correct answer should be 11[tex]\frac{1\\}{4}[/tex]
Step-by-step explanation:
Let me know if this is wrong and I will correct it if it is.
Find the value of y. -6y + 14+4y=32.
A.18.
B.1.8.
C.-9.
D.9
Answer:
Step-by-step explanation: