Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
What is the slope of the graph of the given line?
Answer:
slop = 2/3
Step-by-step explanation:
slope = rise/run
Start at the lower left point (-2, -1).
We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).
First we go up 4. The rise is 4.
Then we go right 6. The run is 6.
slope = m = rise/run = 4/6 = 2/3
slope = 2/3
Mr smith’s Pizza parlor
The questions are not readable. try uploading a better picture.
HELPPPPP!!!!!!!!!!!!!!!!!!
Answer:
I think b im not too sure
Step-by-step explanation:
Answer:
C 8
Step-by-step explanation:
3 apples/2 oranges = 12 apples/x
3/2 = 12/x
3x = 24
x = 8 oranges
One member of the solution set of 3x + 2 > x + 8 is
(A) 1
(B) 3
(C) 5
(D) -4
Anyone know the answer to this ?
3x + 2 > x + 8
3x - x > 8 -2
2x > 6
x > 3
ok done. Thank to me :>
PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.
Step-by-step explanation:
Given function:
f(x) = xThe transformation of f(x) is g(x):
g(x) = f(-2/3x) = -2/3xThe graph of g(x) is attached below
1/6 to 4/7 what is the ratio? Pls hurry!
Answer:
7:24
Step-by-step explanation:
Find the common denominator for both fractions: 42
1/6 x 7/7 = 7/42
4/7 x 6/6 = 24/42
7:24
Factor the following polynomial completely. x2n – y2n
Answer:
(x/y)^2n-2n
(x/y)⁰
=1
since any number raised to power of 0 is 1
Sam is 4 years younger than Linda. The sum of their ages is 28. Find both Sam and Linda’s age and show your work.
Answer:
Sam = 6 years
Linda = 22 years
Step-by-step explanation:
this is best solved by using an algebraic equation
let Sam's age be x
let Linda's age be 4x
now that we defines our variables let's make an algebraic equation
the sum of their ages is 28 so
4x + x = 28
combine like terms
5x = 28
find for x
x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)
Sam is 5.6 years
Linda is 4 years older so we multiply Sam's age by 4
4 × 5.6 = 22.4
Linda is 22.4 years
now let's round our answers to the nearest whole
5.6 ~ 6 years
22.4 ~ 22 years
let's double check and add our answers now
22 + 6 = 28
the answer is correct
(Pythagorean theorem) do the following lengths form a right triangle? Show steps
Answer:
8^2+6^2=10^10?
64+36=100
Yes
Hope This Helps!!!
Answer:
Yes,
Step-by-step explanation:
8^2 +6^2=100
[tex]\sqrt 100\\[/tex]= 10
0.35 is best known as what number
A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?
The number of cells which have been cut into two parts is approximately ; 72 units
According to the question;
The rectangle has dimensions 60 units x 40 units.Provided a cell of the grid is 1 unit * 1 unit.
When a diagonal of the rectangle is drawn;
The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.
Diagonal, D² = 60² + 40²D² = 3600 + 1600D² = 5,200D = √5200D = 72.11 unitsRead more;
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Answer: 80
see attached
Step-by-step explanation:
If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut. because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.
Natalie is graphing point T at (1,8). should she moves to the right 8 units or up 8 units? Explain
Answer:
move 1 to the right and 8 units up
Step-by-step explanation:
The Shanghai Maglev Train takes 8 minutes to travel a distance of 30.5 kilometres.
Work out the average speed of the train.
Answer:
228.75 km/h
Step-by-step explanation:
average speed = total distance / total time
The Average speed is 228.75 Km/h.
What is speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed,Given:
Distance= 30.5 Km
Time= 8 min
= 8/60 hr= 2/15 hour
Now, Average speed= Distance / time
= 30.5 x 15/2
= 228.75 Km/ h
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An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?
Answer: the answer is 1/2
Step-by-step explanation:
is 5/8 greater than 61%? thanks i have late stuff that i need done
Answer:
5/8 is 62.5% which makes it greater
Step-by-step explanation:
Convert the fraction to a decimal and then just multiply it with 100
5/8 is 0.625
0.625×100 is 62.5
just add a %
then you get 62.5%
What is the equation for this? please help!!
Answer:
the equation is y=x^2+8
What expression is equivalent to 42+18
I think the answer is 20+40...
1. Two students are asked to find the angle measures of AEFG, given that the triangle is isosceles. AEFG has an exterior angle at which has a measure of 110%. Their work is shown below.
Which answer is correct? Explain below.
Serin's Answer: The measure of Angle G is 70 degrees. Since the base angles are congruent, the measure of Angel F is also 70degrees.This leaves 40 degrees for Angle E.
Lam's Answer: The measure of angle G is 70degrees. Since an isosceles triangle has two congruent angles, the measure of Angle E and Angle F must be 55degrees
O Both are correct.
ONeither is correct.
Answer:
∆EFG has an exterior angle at G which has a measure of 110°. Which answer is incorrect ... Since external angle is 110 degrees, the internal is 70 degrees
Step-by-step explanation:
no problem we all get stuck
The angles can be ∠ G = 70°, ∠ F = 70° and ∠E = 40° or ∠ G = 70°, ∠ F = ∠ E = 55° hence both are correct so, option C is correct.
What is triangle?
Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle is isosceles, and AEFG has an exterior angle at which has a measure of 110°,
Calculate the interior angles of the triangle as shown below,
∠ G = 180 - 110 (exterior angle)
∠ G = 70°
Since the remaining angles can be ∠ F = 70° and ∠E = 180 - 70 + 70 = 40°
or ∠ F = ∠ E = 55°
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8 I am 8 yeard old, my father is24 years older than iam ,how old was my father 5 years ago?
Step-by-step explanation:
He was 19 years old when you were 5
The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.
Answer:
30.55 <_ a < 30.55
Step-by-step explanation:
a = 1/2 × b × h
a = 1/2 × 13 × 4.7
a = 30.55 cm^2
30.55 <_ a < 30.55
0.000456 in scientific notation (Please answer fast this is on my final math exam!)
Answer:
0.000456 in scientific notation
= 4.56 × 10-4
Step-by-step explanation:
Can I have brainliest?
0.000456 in scientific notation is 4.56 × 10-4
write each power as a product of the same factor. Then find the value. 4^4
Answer:
256
Step-by-step explanation:
4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256
The mean of 16, X, 3, 14,57 is 22. Find
Х
Answer:
20
Step-by-step explanation:
Given,
The mean of 16, X, 3, 14, 57 is 22.
Therefore,
(16+X+3+14+57)/5 = 22
(16+X+3+14+57) = 110
(90+X) = 110
X = 110-90
X = 20
The value of x will be 20.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mean of set 16, X, 3, 14, 57 is 22.
Now,
Since, The mean of 16, X, 3, 14, 57 is 22.
Hence, By definition of mean we get;
⇒ 16 + X + 3 + 14 + 57 / 5 = 22
Solve for x as;
⇒ 90 + X / 5 = 22
⇒ 90 + X = 22 × 5
⇒ 90 + X = 110
⇒ X = 110 - 90
⇒ X = 20
Thus, The value of x will be 20.
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7. Write an equation for the line in slope- intercept form
Answer:
y equals -2x - 3
Step-by-step explanation:
hope it helps
(would appreciate mark brainliest)
what is the difference of 23xand 9 x
Answer:
14x
Step-by-step explanation:
.....................
what are the coordinates of the point 2/3 of the way from A to B? A (-5,-5). B(7,8)
I need help with this :')
Answer:
Rate of change is 15/2
Step-by-step explanation:
Rate of change is the same as slope of a line.
( y1 - y2 ) / ( x1 - x2 )
( 30 - 15 ) / ( 4 - 2 )
15 / 2
Hopefully this helps!
Brainliest please?
Convert 4.5 to a mixed number help for brainlist with explanation!
Answer:
4 1/2
Step-by-step explanation:
the 4 means that the whole number will be 4. .5 means that there is one half of 1, so 1/2 will be the decimal
we can also write the decimal as an improper fraction.
45/10
then, reduce the fraction by 5
9/2
2 can go into 9 four times, so that is our whole number. 2 times 4 is 8, so there is 1 left in the numerator.
4 1/2
What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?
Answer:
[tex]y = -6[/tex]
Step-by-step explanation:
Because is a line is of the form
[tex]y = mx + b[/tex]
and its parallel to the line
[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]
So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form
[tex]y = b[/tex]
Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to
[tex]y = -6[/tex]