4. Tres albañiles trabajaron en una construcción. Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo. Entre los tres hermanos trabajaron 104 horas ¿Cuántas horas trabajó cada uno? Planteamiento algebraico: Procedimiento:
Answers
Answer:
La cantidad de horas que trabajó Hugo son 8, mientras que Eduardo trabajó 32 horas y Francisco 64 horas.
Step-by-step explanation:
En primer lugar, para determinar la ecuación que debes resolver, es conveniente establecer la variable a la que debes encontrar una solución en la ecuación. Entonces, llamas x a la cantidad de horas que trabajó Hugo.
Luego, sabes que Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, esto es, cuatro veces más de las horas trabajadas por Hugo. Esto se expresa matemáticamente como 4*x.
Finalmente, Francisco trabajó el doble de horas que Eduardo, que se calcula multiplicando a las horas trabajadas por Eduardo por 2: 2*4*x= 8*x
Entre los tres hermanos trabajaron 104 horas. Esto indica que la suma de las horas trabajadas por Francisco, Eduardo y Hugo debe ser 104 horas. Esto se expresa matemáticamente como:
x + 4*x+ 8*x= 104 (Planteamiento algebraico)
Resolviendo (Procedimiento):
13*x=104
[tex]x=\frac{104}{13}[/tex]
x=8
Esto significa que la cantidad de horas que trabajó Hugo son 8.
Eduardo trabajó 4*x, esto es 4*8, que da como resultado 32 horas. Entonces Eduardo trabajó 32 horas.
Por último, Francisco trabajó 8*x. Siendo x=8, entonces 8*8=64. Entonces Francisco trabajó 64 horas.
Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.
Dado que tres albañiles trabajaron en una construcción, y Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, y entre los tres hermanos trabajaron 104 horas, para determinar cuántas horas trabajó cada uno se debe realizar el siguiente cálculo:
E + F + H = 104F = 2EE = 4HF = 8HH + 4H + 8H = 10413H = 104H = 104 / 13H = 8Así, Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.
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Related Questions
What 10 x 13x 5 x6 x8 x9 x9 x0
Answers
Answer:
0
Step-by-step explanation:
If those x's are NOT variables, then the answer is 0. The x is a multiplication sign, right?
4. A map has a scale of 1 inch = 100 miles. The distance between two cities is 7.25 inches. If a car travels
50 miles per hour, about how long will it take to get from one city to another?
hours
Answers
Answer:
14.5 hours/14 hours 30 minutes
Step-by-step explanation:
The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).Can you guys answer 1 and 2?
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Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?
Answers
Answer:
D
Step-by-step explanation:
To get from A to B you must divide by x on each side, therefore dividing by the same variable expression
Find f (h(-5))
f (x) 9x - 5
g(x) - 3x
h(x) 2x2
Your answer:
Answers
hi
You are making f ° h
f(x) = 9x-5
h(x) = 2x²
You must first calculate h(-5) : so remplace x by -5 in h :
h(-5) = 2 (-5)² = 2* 25 = 50
then apply f(x) to result : f(50) = 9 *50 -5 = 450 -5 = 445
To solve the following system by elimination of the x terms, if the first equation were multiplied by -4, by what number would you multiply the second equation?
Answers
Answer:
6
Step-by-step explanation:
Multiply by 6 and you can eliminate x or y.
- 6
48
-
99
how to solve it
Answers
ILL GIVE Brainliest
find the area of the polygon
Answers
Answer:
27.5 units^2
Step-by-step explanation:
Total area = Area of triangle ILH + Area of parallelogram JKLI
Area of triangle ILH
= 1/2 * b * h
= 1/2 * 5 * 5
= 12.5 units^2
Area of parallelogram JKLI
= bh
= 3 * 5
= 15 units^2
Total area
= Area of triangle ILH + Area of parallelogram JKLI
= 12.5 + 15
= 27.5 units^2
i need help with a question! im going to post it now! some one please help!!!!
its math
Answers
Answer:
Where is it?
Step-by-step explanation:
Given that sec(0) =25/7
and 0 is in Quadrant I, find csc(0) and tan(0).
Answers
Answer:
Csc(0)=24/27 and Tan(0)= 24/7
Step-by-step explanation:
We know that secant is the inverse of cos. So that Sec(x) = Cos^-1(x)= hypotenuse/adjacent. We now know that 25 is hypotenuse and 7 is the length of side adjacent to angle theta.
Given this information we can find the length of side opposite to theta, which has length 24.
Now we know:
Hypotenuse=27
Adjacent=7
Opposite=24
Csc is inverse of sin, so that scs=sin^-1=hypotenuse/opposite=27/24
and tan=opposite/adjacent=24/7
Find y if 3х + 4y = 1
Answers
Answer:
y=1/4-3/4y
Step-by-step explanation:
rearrange the equation
4y=1-3x
divide both sides by 4 to get the value of y
Answer:
y = 1/4
Step-by-step explanation
Find Y set x=0
3(0)+4y = 1
4y = 1
y = 1/4
I've worked out the problem multiple times but I don't get any of the answer choices. Can someone work it and tell me what you get? The answer I have selected is closest to what I'm getting.
Answers
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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]
[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]
[tex]1[/tex]
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The correct answer is the first option .
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Consider the expression shown.
(x^-3 y^5 z^-4) • (x^6 y^-7 z^-2)
Part A. The value of the exponent of x in the simplified expression will be
1. -18
2. -9
3. 3
Part B. The value of the exponent of y in the simplified expression will be
1. -35
2. -12
3. -2
Part C. The value of the exponent of z in the simplified expression will be
1. -6
2. -2
3. 8
Answers
Answer:
3, 3 and 1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
([tex]x^{-3}[/tex] [tex]y^{5}[/tex] [tex]z^{-4}[/tex] × [tex]x^{6}[/tex] [tex]y^{-7}[/tex] [tex]z^{-2}[/tex]
A
[tex]x^{-3}[/tex] × [tex]x^{6}[/tex] = [tex]x^{(-3+6)}[/tex] = x³ → with exponent 3
B
[tex]y^{5}[/tex] × [tex]y^{-7}[/tex] = [tex]y^{(5-7)}[/tex] = [tex]y^{-2}[/tex] → with exponent - 2
C
[tex]z^{-4}[/tex] × [tex]z^{-2}[/tex] = [tex]z^{(-4-2)}[/tex] = [tex]z^{-6}[/tex] → with exponent - 6
Write the equation of the line that passes through the given points.
Answers
Answer:
y=3x-3
Step-by-step explanation:
the y(intercept)= -3 because the point is at -3 on the y-axis. from there the line goes up 3 and over 1. the slope would be 3.
All together the equation of the line is:
Y=3x-3
La profesora repartió témperas del mismo tamaño entre los chicos. Mariana usó 3/5 de su pote y Juan 3/4 del suyo. ¿Quién usó mayor cantidad y por qué? Representa con dibujos los potes y lo que se usó
Answers
Answer:
Juan uso mayor cantidad de témpera.
Step-by-step explanation:
Para comparar fracciones que tienen distintos denominadores, como en este caso, es conveniente encontrar fracciones equivalente a las fracciones dadas, donde ambas tengan el mismo denominador. Dos fracciones son fracciones equivalentes cuando representan la misma parte de la unidad.
En este caso, para comparar las fracciones 3/5 y 3/4, obtienes que el mínimo común múltiplo entre los denominadores que es 20 (el denominador común se puede obtener multiplicando ambos denominadores o calculando el m.c.m) y amplificas cada una de las fracciones para que tengan el mismo denominador.
Entonces:
[tex]\frac{3}{5} =\frac{3*4}{5*4} =\frac{12}{20}[/tex]
[tex]\frac{3}{4} =\frac{3*5}{4*5} =\frac{15}{20}[/tex]
Cuando dos o más fracciones tienen igual denominador, es mayor la que tiene mayor numerador. Entonces en este caso podes observar 15/20 es mayor. Como 3/4 es una fracción equivalente a 15/20, entonces 3/3 es una fracción mayor. Por lo que es posible decir que Juan uso mayor cantidad de témpera.
Esto también se puede observar en la representación de la imagen adjunta, donde se divide en 1/4 y 1/5 y se encuentra pintado la cantidad usada por Juan y Mariana. En ese caso se puede ver que el área pintada es mayor en el caso de 3/4, la cantidad usada por Juan.
Imad's family drove 345 miles from Chicago to Cleveland.
They drove at a speed of 50 miles per hour. How many hours did it take Imad's family to drive from Chicago to Cleveland?
A
7.1 hr
B
6.35 hr
6.9 hr
D
7.9 hr
Answers
Answer:
6.9 is the answer
Step-by-step explanation:
345 divided by 55. hope this helps....
At an office supply store, 8 boxes of pens and 3 folders cost $6.50. At the same store, 8 boxes of pens and 1 folder cost $5.90. How much does one box of pens cost? How much does 1 folder cost? Please explain.
Answers
Answer:
$0.30
Step-by-step explanation:
the difference of the folders is 2.
The difference of money is $0.60
60/2 = 30
$0.30
Kinsley can illustrate 9 story book pages in 3 hours. How many pages can she
illustrate per hour?
Hint: Make a W.O.N. table to solve.
o A) 27 pages
B) 9 pages
o C) 1 page
D) 3 pages
Answers
Answer:
3 pages
Step-by-step explanation:
because if she reads 9 pages in 3 hours if you multiply each answer by 3 you should be able to find the right answer
18 + 19x = 10x + 54
can someone help me with this
Answers
Answer:
The answer is X= 4.
Solve the literal equation
X= (a+b+c)/(ab)
for a.
Answers
Answer:
a = (b + c)/(bx - 1)Step-by-step explanation:
Given
x= (a+b+c)/(ab)Solving for a
x = (a + b+ c)/(ab)abx = a + b+ cabx - a = b + ca(bx - 1) = b + ca = (b + c)/(bx - 1)Chicken costs $3.20 per pound, and beef costs $4.59 per pound. Answer each question and show your reasoning. When purchasing 3 pounds, which meat is more expensive? By how much more expensive is it?
Answers
Given :
Chicken costs $3.20 per pound, and beef costs $4.59 per pound.
To Find :
When purchasing 3 pounds, which meat is more expensive and by how much.
Solution :
Price of 3 pound chicken, [tex]P_c=3.2\times 3 = \$9.6[/tex] .
Price of 3 pound beef, [tex]P_b = 4.59\times 3=\$13.77[/tex] .
Now, difference in price :
P = $13.77 - $9.6 = $4.17 .
Therefore, beef is more expensive than chicken by $4.17 .
Hence, this is the required solution.
Park rangers at a game preserve in Africa observed a cheetah run 3
3
5
miles in
1
20
hour. What was the cheetah’s speed in miles per hour (mph)?
A.
9
50
mph
B. 5
5
9
mph
C. 72 mph
D. 92 mph
2
Among other ingredients, a recipe for paella calls for
3
4
pound of chorizo and
1
2
cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?
A.
3
10
pound of chorizo per cup of rice
B.
8
15
pound of chorizo per cup of rice
C. 1
7
8
pound of chorizo per cup of rice
D. 3
1
3
pound of chorizo per cup of rice
3
Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown
2
3
foot in
3
4
year. What is the tree’s growth rate in feet p
Answers
Answer:
Cheetah's speed = 2.79 miles per hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 335 miles, Time = 120 hours
So, speed = 335 / 120
Speed = 2.79 mph
Please anyone help me
Answers
Answer: Are we supposed to solve for y or?
Step-by-step explanation:
warning: sorry if this doesn't make sense but this all i can get out of this one
-2x + y = -9
x = 9/2 + y/2
y = -9 + 2x
------
same warning here
12x + 3y = 9
x =3/4 - y/2
y = 3 - 4x
sorry if this doesn't help but i hope it does
4. The difference log2 (3) - log2 (12) is equal to
Answers
Answer:
Step-by-step explanation:
-2
Apply this particular rule of logs:
log a - log b = log a/b
Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)
This last result simplifies to log2 1 - log2 4 = 0 - 2 = -2
Answer:
-2
Step-by-step explanation:
[tex]log_2(3)-log_2(12)[/tex]
~Simplify using log properties
[tex]log_2(\frac{3}{12})[/tex]
[tex]log_2(\frac{1}{4})[/tex]
~Apply log rules
[tex]-log_2(4)[/tex]
~Rewrite
[tex]-log_2(2^2)[/tex]
~Apply log rules
[tex]-2log_2(2)[/tex]
~Apply log rules
-2 * 1
~Simplify
-2
Best of Luck!
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
Answers
Answer:
66 %
Step-by-step explanation:
it is 66% because 203 is less than half of 605 .So, you would add together .
203+203=406 Thats not even close to 605 so now you add almost half so that would be about 66%
IT'S D
HOPE THIS HELPED MARK ME BRAINLIST PLS
I need help on this... i have to find the m
Answers
Answer:
100°
Step-by-step explanation:
(20x)° = (7x + 5)° + 60°
20x - 7x = 65
13x = 65
x = 5
m∠BTU = (20 × 5)° = 100°
Paul's bank account used to have $1,250 dollars in it. After saving and following a strict budget he manages to increase that amount by 40%. How much money is in his bank account now?
Answers
Step-by-step: see the picture
Please mark me brainliest!! :)
2x+2y=38
Y=x+3
Substitute to solve
Correct answer gets Brainliest
Answers
Answer:
x=8
y=11
Step-by-step explanation:
2(8) + 2(11) = 38
8 + 3 = 11
help pls thank you!!
Answers
2/3*4= 8/3
2 2/3 is your answer (C)
Answer:
C 2+2/3
Step-by-step explanation:
10/2.5= 4
2/3*4= 2+2/3
If two pounds of steak will serve 5 people, how many
pounds will be needed to serve 13 people?
Answers
Answer:
5.2 pounds will be needed
Step-by-step explanation:
TEXAS INSTRUMENTS TI-30X IX
- calculator i used
Answer:
5.2 approximately 5 pounds of steak
Step-by-step explanation:
if 5 people : 2 pounds of steak
then 13 people : ?
if more , less divides
13/5×2
26/5
5.2