Answer:
The solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
Step-by-step explanation:
Given the equation
[tex]-6y+11x=-36[/tex]
[tex]-4y+7x=-24[/tex]
solving the system of equations
[tex]\begin{bmatrix}-6y+11x=-36\\ -4y+7x=-24\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-6y+11x=-36\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12y+22x=-72[/tex]
[tex]\mathrm{Multiply\:}-4y+7x=-24\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-12y+21x=-72[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -12y+21x=-72\end{bmatrix}[/tex]
[tex]-12y+21x=-72[/tex]
[tex]-[/tex]
[tex]\underline{-12y+22x=-72}[/tex]
[tex]-x=0[/tex]
[tex]\begin{bmatrix}-12y+22x=-72\\ -x=0\end{bmatrix}[/tex]
solving for x
[tex]-x=0[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{0}{-1}[/tex]
[tex]x=0[/tex]
[tex]\mathrm{For\:}-12y+22x=-72\mathrm{\:plug\:in\:}x=0[/tex]
[tex]-12y+22\cdot \:0=-72[/tex]
[tex]-12y+0=-72[/tex]
[tex]-12y=-72[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-12[/tex]
[tex]\frac{-12y}{-12}=\frac{-72}{-12}[/tex]
[tex]y=6[/tex]
Therefore, the solutions to the system of equations will be:
[tex]y=6,\:x=0[/tex]
Write a rule for the translation.
A. ( x - 1, y + 2 )
B. ( x + 2, y - 1 )
C. ( x - 2, y + 1 )
D. ( x + 1, y - 2 )
Answer:
Option B. ( x + 2, y - 1 ) is the correct answer.
Step-by-step explanation:
First of all, we have to write the coordinates of vertices of both triangles and then compare the respective vertices to find the rule,
So the vertices are:
A(-4,2) , B(-3,4) and C(-1,1)
A'(-2,1), B'(-1,3) and C'(1,0)
By comparing respective vertices we can observe that
A(-4,2) => (x+2,y-1) => A'(-2,1)
B(-3,4) => (x+2,y-1) => B'(-1,3)
C(-1,1) => (x+2,y-1) => C'(1,0)
Hence,
Option B. ( x + 2, y - 1 ) is the correct answer.
La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 magdalenas. En cambio, la fábrica María Magdalena elabora el doble de magdalenas que la otra fábrica y las empaqueta en cajas de dos docenas. Sin hacer cálculos, ¿cuántas magdalenas le sobran a la segunda fábrica?
Answer:
5 magdalenas
Step-by-step explanation:
Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.
Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.
4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?
Answer:
675
Step-by-step explanation:
If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price
Let x be the original price
x* 80% = 540
Change to decimal form
x * .80 = 540
Divide each side by .80
.80x / .80 = 540/.80
x =675
The original price is 675
I need someone’s help please I don’t know this that well
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
I’ll give you brainlest if you solve this!! Pleasee
Answer:
1, -0.5, -1/4, 0, 0.75
Step-by-step explanation:
i have no clue on the second onde
Rehman invests his summer earnings of $3050. He invests past of the money at 8%/year, and the rest at 7.5%/year. After 1 year, these investments earn 242$ in simple interest. How much did he invest at each rate?
Answer:
let he invest x part of earning at the rate of 8%
simple interest = P*T*R/100 = x*1*8/100 = 0.08x
His invest at the rate of 7.5% = 3050 - x
Again simple interest = P*T*R/100 = (3050 - x)*1*7.5/100 = 228.75 - 0.075x
N0w acc0rding to question
0.08x + 228.75 - 0.075x = 242
0.005x= 13.25
x = 2650
rehman invest 2650 at 8% per year
He invest (3050-2650) = 400 0n 7.5% per year
Step-by-step explanation:
For which inequality is x = 5
A $290 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
HURRY I NEED THE ANSWE ASAP
Answer:
261 ! Round to the nearest dollar
Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.
Step-by-step explanation:
[tex]\sf 2x-y-3=0\dots \dots (1)[/tex]
[tex]\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)[/tex]
from eq (1)[tex]{:}\longrightarrow[/tex][tex]\sf 2x-y-3=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x-3=y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 \dots\dots(3)[/tex]
Substitute the value in eq(2)[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4y-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x +4 (2x-3)-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+8x-12-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-77=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x=77 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {77}{11}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 (7)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=14-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=11 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf (x,y)=(7,11)}}}[/tex]
I need help on all of them :(
Please help ive been trying at this stupid question for 45 minutes now.
Answer:
25
Step-by-step explanation:
What is −2y + 10 + 2y − 8 simplified? A. 10 B. 8 C. 6 D. 2
Answer: 4y + 2
Step-by-step explanation:
IM JUST DIFFERENT;D
convert 37 percentage into a fraction
Answer:
37/100
Step-by-step explanation:
40 - 2× 3². What the answer
I believe the answer is 22!
Answer:
The answer is 22
Step-by-step explanation:
40-2(3^2)
= 40 - (2)(9)
= 40 - 18
= 22
Hope this helps
Please help! Due tonight!
Answer:
x = square root of 119
Step-by-step explanation:
Because it is only a little bigger than the side it opposes
someone please help me understand how to do this
Answer: These are the answers for the first section
A) 1/5(10)-4= -2
B) 1/5(-15)-4= -7
C) 1/5(2)-4= -3.6
Step-by-step explanation: You plug in those numbers for X
Dos o más ángulos son_______________________ si la suma de sus medidas es 90°
Answer:
Dos ángulos son complementarios si la suma de sus medidas es igual a 90°.Y son suplementarios si la suma es 180°.
Dean used a triple beam balance to find that the mass of a rock was 40 g and he used a graduate cylinder that measures the volume is 5 ml. What is the density?
a
9 m/l
b
10 g/ml
c
6 g/ml
d
8 g/ml
PLSSSSSSSSSSSSSSSSSSS HELP MEEEEEEEEEEEEEEEEE
Answer:
Never bwa hahaha JK try d
Step-by-step explanation:
If x=4 and y=-2, what is the value of [tex]\frac{1}{2}[/tex] xy²?
Answer:
8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
1/2xy²
x = 4
y = -2
Step 2: Solve
Substitute: 1/2(4)(-2)²Exponents: 1/2(4)(4)Multiply: 2(4)Multiply: 8Which of the folllowing is the equation of a line perpendicular to the line y=-10x+1, passing through the point (5,7).
Answer:
[tex]y=\frac{1}{10}x+6.5[/tex]
Step-by-step explanation:
We know that a perpendicular line is the slopes reciprocol, so we just flip it.
10/1 --> 1/10
y = 1/10x + b
Now we plug in the coordinates to solve for the y-int!
7 = (1/10)5 +b
7 = 1/2 + b
Subtract 1/2 on both sides!
6.5 = b
Reform equation!
[tex]y=\frac{1}{10}x+6.5[/tex]
Brainliest Appreciated!
solve 3x + 5 ⩾ x + 17
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = x + 17
Reorder the terms:
5 + 3x = x + 17
Reorder the terms:
5 + 3x = 17 + x
Solving
5 + 3x = 17 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
5 + 3x + -1x = 17 + x + -1x
Combine like terms: 3x + -1x = 2x
5 + 2x = 17 + x + -1x
Combine like terms: x + -1x = 0
5 + 2x = 17 + 0
5 + 2x = 17
Add '-5' to each side of the equation.
5 + -5 + 2x = 17 + -5
Combine like terms: 5 + -5 = 0
0 + 2x = 17 + -5
2x = 17 + -5
Combine like terms: 17 + -5 = 12
2x = 12
Divide each side by '2'.
x = 6
Simplifying
x = 6
PLS HELP ME WITH THIS
9514 1404 393
Answer:
Abby left some squares under the radical20x³√(3x)Step-by-step explanation:
[tex]5x\sqrt{48x^5}=5x\sqrt{3x(4x^2)^2}=(5x)(4x^2)\sqrt{3x}\\\\=\boxed{20x^3\sqrt{3x}}[/tex]
please help thanks.
Answer:
Option A
I hope this helps!
what does x = ? need help with the pythagorean theorem
Answer:
The answer is 9
Step-by-step explanation:
set up the equation as 12^2 + b^2 = 15^2
solve the exponents and you get 144 + b^2 = 225
Then subtract 144 from both sides and get 81
After that just do the square root of 81 and you get 9
pls mark brainliest
Elijah is keeping track of his baby sister’s shoe size at different ages throughout her childhood. Which statements about the relationship between Elijah’s sister’s shoe size and her age are true? Select all that apply.
A. The relationship is a continuous function.
B. The relationship is a discrete function.
C. The domain and range are restricted to positive numbers.
D. The domain and range are restricted to positive integers.
Answer:
B and D
Step-by-step explanation:
The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.
If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.
Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.
Answer:
b and d
Step-by-step explanation:
Devin and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be
one week long, another two days, and the other two weeks.
Оа
ob
Factorial; 5040 possible choices
Fundamental Counting Principle; 196 possible choices
Combination; 35 possible choices
Permutation; 210 possible choices
Od
Answer:210
Step-by-step explanation:
can someone please help me i dont understand this
Answer:
(-2,12)(-1,10)(0,8)(1,6)
Step-by-step explanation:
It has a constant slope of -2/1 *y2-y1/x2-x1*
Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population?
Answer:882
Step-by-step explanation:5 percent of 840 is 42 so 840 plus 42
Answer:
882
Step-by-step explanation:
Ghosts are still one of the greatest frights. The number of scares a ghost will get is modeled with the equation
`y=5x+2`. Skeletons, on the other hand, have become rather common and no one is scared of them anymore. In fact, they often are scared themselves more than they scare anyone else. If the equation for skeletons is perpendicular to the equation for ghosts and passes through the point (10, -4), what is the equation for skeletons?
Answer:
i don't know the answer but i really want the points
Step-by-step explanation:
NEED HELP ASAP
An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction S 45° E. What is the plane’s ground speed?
640.00 kph
658.94 kph
700.00 kph
743.64 kph
Answer:
the planes ground speed is 658.94 kph
Step-by-step explanation:
The ground speed of the plane with respect to the wind is determined as 658.94 kph.
Ground speed of the planeThe ground speed of the plane is determined from the resultant speed of the plane with respect to the wind.
R² = 700² + 60² - 2(700)(60)cos45
R² = 434,203.03
R = √434,203.03
R = 658.94 kph
Thus, the ground speed of the plane with respect to the wind is determined as 658.94 kph.
Learn more about resultant speed here: https://brainly.com/question/15093278
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