Answer:
Los números son 81 y 243.
Step-by-step explanation:
Un sistema de ecuaciones lineales, también conocido como sistema lineal de ecuaciones o simplemente sistema lineal, es un conjunto de ecuaciones lineales que relacionan incógnitas entre sí.
Una solución de un sistema es una asignación de valores para las incógnitas que hace verdadera cada una de las ecuaciones. Esto es, en los sistemas de ecuaciones, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.
En este caso las variables o incógnitas son los números "x" e "y".
Un tercio es la tercera parte de una cantidad y se calcula dividiendo por 3, mientras que un cuarto es la cuarta parte de una cantidad y se calcula dividiendo por 4.
Si un cuarto de la suma de dos números es 81 y un tercio de su diferencia es 54, el sistema de ecuaciones queda definido como:
[tex]\left \{ {{\frac{x+y}{4} =81} \atop {\frac{x-y}{3} =54}} \right.[/tex]
Resolviendo por el sistema de sustitución, en primer lugar se debe despejar o aislar una de las incógnitas de una de las ecuaciones. En este caso, aislando la incógnita "x" de la primer ecuación se obtiene:
x +y= 4*81
x= 324 - y
Sustituyendo la expresión obtenida en la segunda expresión:
[tex]\frac{324-y-y}{3} =54[/tex]
Resolviendo se obtiene:
324-y-y= 3*54
324 - 2*y= 162
-2*y= 162 - 324
-2*y= -162
y= (-162)÷ (-2)
y= 81
Reemplazando este valor obtenido en la expresión x= 324 - y se obtiene:
x= 324 - 81
x= 243
Los números son 81 y 243.
PLEASE HELP!! I dont understand choose all that apply
Venetta buys 2 pounds of pistachios and 3 pounds of almonds.
The pistachios cost $4 more per pound than the almonds. She
pays a total of $48. Select all the correct statements about this
situation.
Reducing the number of pounds of almonds by one results in a
total cost of $40.
The pistachios cost twice as much per pound as the almonds.
The cost p. in dollars, of 1 pound of pistachios is modeled as 2p +
310 - 4) = 48.
One pound of pistachios plus 1 pound of almonds cost $20.
The cost a, in dollars, of 1 pound of almonds is modeled as 2la – 4)
+ 3a = 48
Answer:
Step-by-step explanation:
I cant fully answer it, I'm having trouble with too. But i know for a fact that the cost of a pound of pistachios is 12 dollars. The cost of a pound of almonds is 8 dollars. Sorry -_-
The ratio of sam's age to Hank's age is 5 to 3.if the sum of their ages is 24, how old is Hank?
a. 21
b. 9
c. 19
d. 15
Answer:
c is the answer if this question
match each trig function to a ratio. tan(B)=
Answer:
Tan B = x/y
Step-by-step explanation:
You need to memorize the definitions of all the trig functions and then these types of problems become easy! OK?
Tan = opposite side/adjacent side
Tan B = x/y
What is the volume of a rectangular prism whose dimensions are 2 feet, 2.5 feet and 4 feet?
A 8.5 cubic feet
B 20 cubic feet
C 46 cubic feet
D 200 cubic feet
Answer:A
Step-by-step explanation: you need to add them so 8.5
Write an exponential function in the form y=b^x that goes through the points (0,9) and (3,4608)
Answer:
y = 9 * bˣ
Step-by-step explanation:
y = a * bˣ
9 = a * b⁰ = a * 1
a = 9
4608 = 9 * b³
b³ = 512
b = 8
y = 9 * bˣ
pleaseeee helppp mee!!!!
Answer:
C
Step-by-step explanation:
If each of the 4 siblings expect to pay the same (share equally), then y is the cost of the meal, 3 is the extra fee for each meal, so each expects to pay y + 3 for a meal. Figure C shows 4 such payments, all equal to each other.
What is the area of this compound shape? I need a step-by-step answer.
Answer:
The area is 96cm²
Area 1
A= 2(L+w)
A= 2( 15+7)
A=2(22)
A=44cm²
Area 2
A=2(L+W)
A= 2(11+15)
A=2(26)
A=52cm²
Total area=52+44=96cm²
True or False The slope of a line can be found by finding the quotient of the change in y and the change in x.
Answer:
false
Step-by-step explanation:
I need fast help!!!!!!!!! Please
Answer:
x= −5/ 2 + 1 /2 √21 or x= −5 /2 + −1/ 2 √21
Step-by-step explanation:
For an art project, Kelvin cut a 4-foot piece of yarn into pieces. He then measured the length of each piece of yarn to the nearest inch. He wants to summarize the data using a histogram. Which units are the best to use to label the x- and y-axes
A
label the x-axis "Length (feet)," and label the y-axis "Pieces of Yarn"
B
label the x-axis "Pieces of Yarn," and label the y-axis "Length (feet)"
C
label the x-axis "Length (inches)," and label the y-axis "Pieces of Yarn"
D
label the x-axis "Pieces of Yarn," and label the y-axis "Length (inches)"
Answer:
I think answers is
D
label the x-axis "Pieces of Yarn," and label the y-axis "Length (inches
The best units to label is C. label the x axis "Length (inches)," and y axis "Pieces of Yarn".
What is Histogram?A histogram is defined as the pictorial representation of data in the form of a bar graph where the X axis represents the columns of classes and Y axis represents the frequency of those classes.
Given that,
Kelvin cut a 4-foot piece of yarn into pieces.
There may be many pieces of yarns.
He measured the length of each piece of yarn to the nearest inch.
Total length of the yarn = 4 foot = 4 × 12 inches = 48 inches
x axis contains the interval range of the length of the pieces in inches.
This length can be divided in to intervals of length 4.
y axis contains the number of pieces of yarn falling in to that interval.
Hence the correct option is C.
Learn more about Histogram here :
https://brainly.com/question/30354484
#SPJ2
13. please help me out ill mark you brainlist
Answer:
C
Step-by-step explanation:
All points of the figure are in Q1. Rotating about the origin 180° clockwise puts the figure in Q3, which has -x and -y coordinates.
What is the area of the figure?
Answer:
252 square inches.
Step-by-step explanation:
Split the Cube into three shapes.
You can make the biggest cube 12 by 15 and mutliply those together.
That would be 180.
Now you are left with 2 other smaller cubes.
3 * 6 = 18
6 times 9 = 54
The Final Answer is 252 square inches.
Identify the polygon that has vertices J(12,−4), U(0,−4), S(4,3), and T(8,3), and then find the perimeter and area of the polygon.
Answer:P= 16 + 2\|65 units; A= 56 units2
Step-by-step explanation:
What English word has three consecutive double letters?
Answer:
Bookkeeper
Step-by-step explanation:
Answer:
Bookkeeper
Step-by-step explanation:
Bookkeeper is an example of an English word with three consecutive double letters. There's 2 o's, 2 k's, and 2 e's!In Terry's hometown, the probability of snow on Saturday is approximately 0.07. Which of the following
best describes the chances of snow on Saturday in Terry's hometown?
O A. likely
O
B. certain
his
O
C. unlikely
D. impossible
Answer:
c
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
the probability it would snow is 0.07 or 7%. this is quite low. so, it is unlikely that it would snow
Answer:
Step-by-step explanation:
C
Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters.
What is the length of Jason’s tool shed?
Answer:
12 sq meters
Step-by-step explanation:
96 / 8 = 12 sq meters
Answer:
12
Step-step
96/8
=12
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
30 meters
Which of the following are quadrilaterals?
[A] triangles
[B] pentagons
[C] parallelograms
[D] none of these
Answer:
C
Step-by-step explanation:
beccause it has four sides
(quad) ,
A tank is filled with 2 gallons of propane. The tank is being used to fuel a heater that uses propane at a rate of 0.5 gallons per hour.
Answer:
fhiuqhficu3f
Step-by-step explanation:
Answer:
4 hours
Step-by-step explanation:
take 2 divides with 0.5 to found out how many it took to run out of fuel
hours
A 50-meter cable is secured at the top of the tower and tied 30 meters away from
the base. What angle does the cable form with the ground?
Answer:
53.13 degrees to the nearest hundredth.
Step-by-step explanation:
We know the adjacent side and the hypotenuse of the right triangle.
So cos x = 30/50 = 0.6
The required angle x = 53.13 degrees.
Find mAC. Will give brainliest
Answer:
58° = measure of arc AC
Step-by-step explanation:
The measure of an angle formed by 2 chords is equal to 1/2 the sum of the measures of the intercepted arcs.
65 = (measure of arc AC + measure of arc BD)/2
= (measure of arc AC + 72)/2
130 = measure of arc AC + 72
58° = measure of arc AC
please help i’ll give brainliest!!! thanks
Answer:
The Yangtze RiverHope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
China's two main rivers that both helped and hurt trade are the Huang -he (or yellow ) river in the north and The Yangtze river in the south .hope it is helpful to you
George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the cost of the markers and paper is more than $14, which inequality represents the dollar amount, p, George can spend on glue?
Answer:p< 9
Step-by-step explanation: that is the correct answer
Please answer
1/8 - 1/4 (3 - 1/2) + 2/3
And
2/9 - 1/6 (8- 2/3) + 1/2
Answer:
1/6, - 1/2_____________
I NEED HELP WITH NUMBER 3 HURRY
Answer:
There are 4 pitchers
Step-by-step explanation:
3p - 1 = number of infielders
3p - 1 = 11
+1 +1
3p = 12
[tex]\frac{3p}{3}[/tex] = [tex]\frac{12}{3}[/tex]
p = 4
hope this helps! if you have any questions, let me know!
What is the volume of a cylinder with a base radius of 7in. and a height of 12in?
Answer:
1847.26 cubic inches
Step-by-step explanation:
The volume of a cylinder is given by the formula:
V = Ah
Where V is the volume of the cylinder, A is the area of the base, and h is the height of the cylinder. The area of the base can be shown as the formula for the area of a circle:
A = πr²
Where r is the radius of the circle.
Now, find the area of the base of the cylinder:
A = π(7)²
A = 153.93804
Next, plug this value into the equation for volume, substituting h for the height of the cylinder; 12 inches.
V = 153.93804(12)
V = 1847.26
Volume is given in cubic units, and the units for this cylinder are inches, so this cylinder has the following volume:
1847.26 cubic inches
Solve the system of equations.
y = 2x
x + y = -6
Answer:
y=-4
x=-2
Step-by-step explanation:
Given:
x+y=-6
y=2x
So, you can then substitute y for 2x
x+(2x)=-6
Then, solve for x
3x=-6
x=-2
Then solve for y
y=2x=2(-2)=-4
What are the steps to solving the area of this compound shape?
Step-by-step explanation:
2Li+2H2O—>2LiOH+H2
Calculate the mass of reacted lithium when H2 is 6.02 * 10 ^ 23 molecules.
I really need the answer with all the calculation please.
Hey! I need help answering this :)
Answer:
It's -72 W19 r8
Step-by-step explanation:
On a unit circle, the terminal point of Theta is
(Sqrt2/2, sqrt2/2). What is theta
A.
Pi/6
B.
Pi/3
C.
Pi/4
D.
Pi/2
Answer:
C. [tex] \frac{\pi}{4} [/tex]
Step-by-step explanation:
[tex]terminal \: point \: of \: \theta = \bigg( \frac{ \sqrt{2} }{2}, \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: (x, \: \: y) = \bigg( \frac{ \sqrt{2} }{2} \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: x = \frac{ \sqrt{2} }{2}, \: \: y = \frac{ \sqrt{2} }{2} \\ \\ \because \tan \theta = \frac{y}{x} \\ \\ \therefore \tan \theta = \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \\\therefore \tan \theta =1 \\ \\ \implies \tan \theta =\tan \bigg( \frac{\pi}{4} \bigg) \\ \\ \implies \: \theta \: = \frac{\pi}{4} [/tex]