Antonio, Lucas y Darío compraron un refresco de 5/2 (2litros y 1/2) que piensan repartir en partes iguales. a) ¿Qué fracción de litro le corresponde a cada uno? b) Una vez repartido el refresco llego Benjamín a quien van a convidarle. ¿Cuánto debe convidarle cada uno para que los cuatro tengan la misma cantidad de refresco?
Answer:
a) A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.
b) Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.
Step-by-step explanation:
a) Antonio, Lucas y Darío compraron un refresco, el cual reparten en tres partes iguales. Por tanto, la fracción de litro para cada persona es la capacidad del refresco dividido por el número de personas. Es decir:
[tex]x = \frac{\frac{5}{2}\,L }{3}[/tex]
[tex]x = \frac{5}{6}\,L[/tex]
A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.
b) En primer lugar calculamos la fracción correspondiente a cuatro personas:
[tex]x = \frac{\frac{5}{2}\,L }{4}[/tex]
[tex]x = \frac{5}{8}\,L[/tex]
Ahora, procedemos a calcular la diferencia entre el escenario calculado en a) y el resultado anterior:
[tex]\Delta x = \frac{5}{6}\,L-\frac{5}{8}\,L[/tex]
[tex]\Delta x = \frac{40-30}{48} \,L[/tex]
[tex]\Delta x = \frac{10}{48}\,L[/tex]
[tex]\Delta x = \frac{5}{24}\,L[/tex]
Este resultado corresponde a la fracción que Antonio, Lucas y Darío deben convidar cada uno a Benjamín. Entonces, Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.
What is the product of a fraction multiplied by its multiplicative inverse? Justify your answer with an example
If the difference when −15 is subtracted from a number is twice the difference when 24 is subtracted from the same number, what is the value of the number?
Answer:
The number is 39
Step-by-step explanation:
Let the unknown number be x:
[tex](x-(-15))=2(x-24)\\x+15=2x-24\\39=x\\\therefore x=39[/tex]
Duke ate 1.2 kilograms of dog food each day for a total of 8.4 kilograms while his owners were out of town during the month of January. He ate 0.9 kilograms of dog food each day for a total of 7.2 kilograms while his owners were out of town during the month of February. He ate 1.8 kilograms of dog food each day for a total of 10.8 kilograms while his owners were out of town during the month of March. He ate 1.5 kilograms of dog food each day for a total of 13.5 kilograms while his owners were out of town during the month of April. During which month were his owners gone for the shortest period of time?
A.
January
B.
April
C.
February
D.
March
3. The sum of the two numbers is5/9
If one of the numbers is
1/3 find the other
Step-by-step explanation:
let the one number be X.
and
second one 1/3
then
1/3 +X = 5/9
X = 5/9-1/3
X =( 5-3) /9
X = 2/9 Ans
Answer:
The other number will be 2/9.
Step-by-step explanation:
Let the second fraction be x :
[tex] \frac{1}{3} + x = \frac{5}{9} [/tex]
[tex]x = \frac{5}{9} - \frac{1}{3} [/tex]
[tex]x = \frac{5}{9} - \frac{3}{9} [/tex]
[tex]x = \frac{2}{9} [/tex]
Does anybody know what 2+3 is
Tobin is solving the equation 3 (x minus 1.25) = 11.25. His work is shown below.
3 (x minus 1.25) = 11.25. 3 x minus 3.75 = 11.25. 3 x minus 3.75 + 3.75 = 11.25 + 3.75. 3 x = 15. 3 x times 3 = 45 times 3. x = 135.
What mistake did Tobin make?
please help me out....
The length of segment AE is 5 centimeters.
a. what is the length of segment CD?
b. what is the length of segment AB?
c. Name a segment that had the same length as segment AB. segment________
Answer/Step-by-step explanation:
Segment AE is a radius of the circle with center of A.
Any segment that has its origin from the center of the Circle, A, and meets at any point along the circumference of the circle, is equally a radius, and would have the same length as segment AE.
Thus:
a. Length of segment CD:
Segment CD is half of the circle. So it is the diameter of the circle.
Diameter of a circle = 2 × length of the radius.
Therefore,
CD = 2 × AE
CD = 2 × 5 (substitution)
CD = 10 cm
b. AB is a radius.
Therefore, AB = AE
AB = 5 cm
c. Any of these segments are also radius of the circle and also have the same length as segment AB:
Segment AG,
Segment AD
Segment FA
Segment AC
Can you solve?
|x+5|=12
What is the answer please
There are 48 students in the dass. They arrange their desks in rows with 8 desks in each row.
How many rows are there?
Answer:
6 rows
Step-by-step explanation:
We know that 48 desks are split up into rows of 8
If we divide the 48 total desks by the 8 desks in each row... we find the number of rows.
48/8 = 6
help me find the perimeter plzzz!
Answer:
2m-4
Step-by-step explanation:
double both of them and just simplify
the first one will become (6m-12) and the second will become (-4m+8)
subtract 6m and -4m so it's 2m
subtract -12 and 8 so it's -4
so the answer is 2m-4
Answer:
B. 2m - 4
Step-by-step explanation:
When simplifying the expression (3m - 6) + (3m - 6) + (-2m + 4 ) + (-2m + 4) while trying to find the perimeter, you will find your answer to be 2m - 4.
Feel free to give brainliest.
Have a great day!
A public parking garage charges $5, plus an additional $2 per hour.
Choose the graph of the line.
Answer:
2nd one
Step-by-step explanation:
Graph-2 is correct line that represents the parking charge of the public garage.
What is a linear equation?A linear equation is an equation where the variable has the highest degree of 1.
Given, a public parking garage charges $5, plus an additional $2 per hour.
For 1 hour, the total cost will be = $(5 + 2 × 1) = $7.
For 2 hours, the total cost will be = $(5 + 2 × 2) = $9.
For 3 hours, the total cost will be = $(5 + 2 × 3) = $11.
For 4 hours, the total cost will be = $(5 + 2 × 4) = $13.
For 5 hours, the total cost will be = $(5 + 2 × 5) = $15.
Here, the increase in parking cost is in the form of linear equation and it increases $2 with the increase in every hour.
Therefore, graph-2 represents the actual line of cost of the parking charge and time.
Learn more about linear equation here: https://brainly.com/question/2263981
#SPJ2
Pleas help meh!!I really need help!!!
Answer:
360ft^2
Step-by-step explanation:
We know that the height is always 8 ft. So lets find the area of two of the 4 walls.
We multiply by 2 because there are two of the same wall.
2(8ft x 10ft) = 160ft^2
Now lets find the area of the other wall.
2(8ft x 15ft) = 240ft^2
Now we add it up
160 + 240 = 400
400ft^2
But wait! We aren't done yet! We still have to subtract out the door and window which is 60ft^2.
400 - 60 = 360
360ft^2
Consider Brainliest! Hope I helped!
Calculate each of the followi
(a) 2.31x6.4
Answer:
14.784
Step-by-step explanation:
Select the equation that contains the point (3,6) and in which the slope equals 1
Answer:
I think it would be y + 6 = x + 3
Step-by-step explanation:
Because they both have to be positive because the points are positive. Also the slope has to be 1 so x cannot have a number with it or else it changes the value.
I would say it is 1)y + 6 = x + 3 but I am not no genius
Jen walked 1/4 of a mile in 1/2 of an hour. At this rate, how long will it take her to walk 2 miles to the park?
A. 2 hours
B. 8 hours
C. 4 hours
D. 6 hours
Answer:
The awnser is C. 4 hours
Step-by-step explanation:
It takes her 2 hours two walk 1 mile so 2*2 is 4
i’m trying one last time
Write an equation in standard form of the line that passes through the following
points, where a ≠0 and b ≠0.
Answer:
The equation =3 is equivalent to = 0 +3. From this form, we know the line has slope =0.
Step-by-step explanation:
Answer:
ax + by = c
Step-by-step explanation:
The standard form of the line is
ax + by = c; where a, b and c are numbers
Also a and b are coefficients are not zero so there are x and y terms.
please helpppppppppppp
Answer:
20/3
Step-by-step explanation:
Slope = Rise/Run
11-(-9)/2-(-1)
= 20/3
A student ticket for a high school basketball game costs $3.00. A monthly game pass costs $20.00. Which inequality represents the number x of times that a student must attend a basketball game for the monthly pass to be the better deal?
Answer: basketball game costs $3.00
Step-by-step explanation: so A monthly game pass costs $20.00. Which inequality represents the number x of times that a - 191… ... game pass costs $20.00. Which inequality represents the number x of times that a student must attend a basketball game for the monthly pass to be the better deal? 3x 20
The high school band sells cured hams for a fundraiser. The first week of the
fundraiser, the club sells 8 cases of hams. Each case contains 10 hams. The goal is to
sell at least 20 cases. During the second week of the fundraiser, the club meets its
goal. Which graph of the inequality can be used to find the possible number of hams
sold the second week?
Answer:
ITS THE SECOND ONE
Step-by-step explanation:
Chestnut is trying to break his school record for eating the most hot dogs in 10 minutes he needs to eat more than 72 hot dogs to break his record after 1 minute Joy has eaten 71 for the hot dogs lady represent the number of hotdogs Joy East per minute for the next 9 minutes
Use the fact that the graph passes through (1, -18)
to find the coefficient a in
f(x) = a(x + 2)(x + 2)(x-3).
Answer: 1
Step-by-step explanation:
just did it on edg
Elvira used 4 cups of grape juice, 1 1/2 cups of cranberry juice, and 1/2 cup of pineapple juice to make punch. One liter
is approximately equal to 4.23 cups.
Which measurement is closest to the number of liters of punch Elvira made?
Sophie and Isadora ride around a circular track that has an inner radius of 30 m. The track is 2 m wide and Isadora rides along the outer lane. How much further does Isadora ride than Sophie, In one lap? Is any one else as confused as I am?
can someone pls give me 2 mo brainlist
Answer:
i cant do dat because im broke sorry
Step-by-step explanation:
which pair of numbers shows an integer and its opposite?
1 point
A.7 , -7
B.7 , 1/7
C.-7 , 1/7
D.1/7 , 1/7
through (1,4), (6, -1)
Write the equation of a line in slope-intercept and standard form
Answer:
y=-x-7
Step-by-step explanation:
m=-5/5
m=-1
y=-x+b
-1=6+b
b=-7
y=-x-7
solve (2x-10)=(65-x) show your work plz!
Answer: x=25
Step-by-step explanation:
Simplifying
(2x + -10) = (65 + -1x)
Reorder the terms:
(-10 + 2x) = (65 + -1x)
Remove parenthesis around (-10 + 2x)
-10 + 2x = (65 + -1x)
Remove parenthesis around (65 + -1x)
-10 + 2x = 65 + -1x
Solving
-10 + 2x = 65 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-10 + 2x + x = 65 + -1x + x
Combine like terms: 2x + x = 3x
-10 + 3x = 65 + -1x + x
Combine like terms: -1x + x = 0
-10 + 3x = 65 + 0
-10 + 3x = 65
Add '10' to each side of the equation.
-10 + 10 + 3x = 65 + 10
Combine like terms: -10 + 10 = 0
0 + 3x = 65 + 10
3x = 65 + 10
Combine like terms: 65 + 10 = 75
3x = 75
Divide each side by '3'.
x = 25
Simplifying
x = 25
Sorry if its too confusing!
(70 points) please answer this question and explain how you get the answer!!
Answer: -0.10
Step-by-step explanation:
there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.
Answer: -0.10
Step-by-step explanation:
because of the down fall