Answer:
[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]
Step - by - step explanation :
[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]
USING ELIMINATION METHOD :
[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )
[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )
Subtracting equation ( ii ) from ( i )
Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.
[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]
[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]
_____________________
➺ [tex] \sf{ - 16y = - 16}[/tex]
➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]
➺ [tex] \sf{y = 1}[/tex]
The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :
➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]
➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]
➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]
➺ [tex] \sf{ - 3x = - 3}[/tex]
➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]
➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]
Hence , the value of x is 1 .
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☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]
There are many methods to solve such simultaneous equations. They are :
Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ Learn more :
Solve system of equations using elimination method :
https://brainly.com/question/20160304
What is the substitution method ?
https://brainly.com/question/15936865
Hope I helped ! ツ
Have a wonderful day / night ♡
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I don’t rlly need the answer I just would like the method please
3x-7=17-5x
Answer: x=3
Step-by-step explanation:
3x-7=17-5x
-7=17-8x (subtract both sides by 3x)
-24=-8x (subtract both sides by 17)
3=x (divide both sides by -24)
The following table shows the number of alligators in each body of water near Tom's house. Number of alligators 7,0,11,10 find the mean number of alligators
Answer:
I do not know but did you find it out?
Step-by-step explanation:
bbbbbbbeeeeeeeeeeeeeeeeeeeeeeep
Please help!! Thank you so much!!
Answer:
AC, AB, BC
Step-by-step explanation:
3x-13+2x-20+x+15=180
6x-18=180
6x=198
x=33
<a 86
<b 46
<c48
Are the ratios 5:4 and 17:12 equivalent?
Answer:
yes
Step-by-step explanation:
These fractions are equivalent because they can be divided by the same number... i think
help me plsss!!!!!!!!
Answer:
the answer is b
hope that helps
What is the area of a square with a side length of 7 feet ?
HELP
Answer:
49 square feet
Step-by-step explanation:
Area of square
[tex] = {7}^{2} \\ \\ = 49 \: {ft}^{2} \\ [/tex]
Which of the following would be in the solution set to the system of inequalities given below?
(-4,0)
Both (-4,0) and (0,2)
No solution
(0,2)
Answer:
(-4,0)
Step-by-step explanation:
plzz follow me
(-4,0) is the solution of the set to the system of inequalities
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given two inequalities are
y<-3x-6 and 4x-2y<-8
Let us check for (-4, 0)
0<-3(-4)-6
0<6
4x-2y<-8
4(-4)-2(0)<-8
-16<-8
So (-4, 0) is the solution of the inequalities.
Now let us check for (0, 2)
replace y value as 2 and x as 0.
2<-3(0)-6
2<-6
Which is not true.
Hence, (-4,0) is the solution of the set to the system of inequalities.
To learn more on Inequality click:
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Alysha’s average speed when walking home from the market was 5 mph, and it takes her 21 minutes longer than when she drives to the market. If she drives along the same route, at an average speed that is 8 times her average walking speed, how many minutes does it take her to drive home from the market?
9514 1404 393
Answer:
3 minutes
Step-by-step explanation:
Let x represent Alysha's time to drive home from the market.
Speed and time are inversely proportional to each other (for the same distance), so we have ...
(walking speed)(walking time) = (driving speed)(driving time)
5(x +21) = (8·5)(x)
x +21 = 8x . . . . . . . . . divide by 5
21 = 7x . . . . . . . . subtract x
3 = x . . . . . . .divide by 7
It takes Alysha 3 minutes to drive home from the market.
Someone pls help me, I can’t figure this out!
Answer:
AC=73
Step-by-step explanation:
Find 25% of 108 grams.
Answer:
27 Grams
Step-by-step explanation:
A triangle weighs 3 grams and a circle weighs 6 grams. Find the weight of a square in Hanger A and the weight of a pentagon in Hanger B. Create equations for each hanger using the information given above! Write an equation to represent each hanger.
Answer:
Equation of Hanger A:
x + y = z
z = 9 grams
Equation for hanger B
x + y = p
p = 9 grams
Step-by-step explanation:
Note: This question is not complete, and lacks necessary data to answer this question. But for the sack of concept, we wil be solving this question using our own data.
Data given:
Triangle weight = 3 grams
Circle weight = 6 grams
There are two hangers A and B.
We have to find weight of the square in Hanger A and weight of the pentagon in Hanger B.
So, for your understanding I have drawn the two hangers A and B. In A we have triangle and circle on the LHS and the square on the right. On the other hand, we have pentagon on the right and triangle and circle.
Sketch is attached in the attachment.
Let's suppose: Hanger A is balanced, So,
Triangle weight = 3 grams = x
Circle weight = 6 grams = y
weight of the pentagon in Hanger B = p
weight of the square in Hanger A = z =?
So,
Equation of Hanger A:
x + y = z
z = 3 + 6
z = 9 grams = weight of the square in Hanger A
Similarly for Hanger B.
Equation for hanger B
x + y = p
p = 3 + 6
p = 9 grams
the question is in the picture. will give brainilist
Step-by-step explanation:
Online learning
What should the physical setting look like, would there be a desk, flexible seating, tables?
It should look like how you would feel comfortable.
Here's an example of my desk:
MATH LOVERS!!! Can u send me a pic of you filling this out plz!!!!
Answers
Located In The Following Attachments
High Hopes
Barry-
Answer:
you would just do 2/3*-6-1= -5
and you would fill in the numbers in the x column and solve
5-1/2*-2=6
and you would replace x with the number in the x column
(ik i already helped you on this lol)
have a great day/night
*WILL GIVE A BRAINIST*
GEOMETRY
Kristen used the expression 82 - 22.2-52, what is the
value of it?
Answer:
the answer to this is 7.8
Sarah had 36 free throw attempts during a game and made at least 75% of the free throws.
What is the greatest number of free throws Sarah could have missed during the game?
Answer:
9 free-throws
Step-by-step explanation:
75% of 36 = 27
36-27=9
She could have missed up to nine free throws
Answer:
3
Step-by-step explanation:
25% of 12 is 3. Brainliest pls :)
c) Which of these numbers is a square number?
A) 4 x 10^5
B) 9 x 10^4
C) 4 x 10^3
D) 9 x 10^3
Answer:
A is the correct answer
Answer:
non of them
Step-by-step explanation:
Square number should have power of 1/2 .
Please help me, thank you
Just divide 1,300 by 5.
260 would be your answer. If you want an explanation, if you think about the term 100%, that's the total at the time. Amplifying that 100% by five would practically mean five times the amount of 100%, so 500%. You're just multiplying the amount of bunnies at the time by 5. (500% in decimal form is 5)
how do I find the inverse of the first function ?
[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ Inverse \ of \ the \ given \ function \ is \ x^2+2x-4 .}}}[/tex]
Step-by-step explanation:A function is given to us , and we need to find its inverse. So the function is ,
[tex]\bf\implies f(x) = \sqrt{x + 5 } - 1 [/tex]
So , firstly replace x with y in the given function and then solve for y to get its inverse . Taking the given function ,
[tex]\bf \implies f(x) = \sqrt{x+5}-1\\\\\bf\implies y = \sqrt{x+5}-1 \\\\\bf\implies x = \sqrt{y+5}-1 \:\:\bigg\lgroup \red{\sf Replacing \ x \ with \ y .} \bigg\rgroup \\\\\bf\implies x + 1 = \sqrt{y+5}\\\\\bf\implies y+5 = (x+1)^2 \\\\\bf\implies y+5 = x^2+1 +2x \\\\\bf\implies y = x^2+1-5+2x \\\\\bf\implies y = x^2-4+2x \\\\\bf\implies \boxed{\red{\bf f^{-1}(x)= x^2+2x - 4 }}[/tex]
Here I have also attached the graph of , x² + 2x - 4 and √(x+5) - 1. Here blue graph is of √(x+5) - 1 & red of x²+2x-4.
Hence the inverse f -¹(x) of the given function is x² + 2x - 4 .Please help me with this ;(
A right triangle has legs of lengths 24 and 23 inches. Find the length of
the hypotenuse (nearest tenth).
label required
Answer:
33.2
Step-by-step explanation:
24²+²23²=1105
Square root of 33.2415
=33.2
Is the scale factor k=1.5 an enlargement, a reduction or an isometry?"
A. Enlargement
B. Reduction
C. Isometry
Answer:
Step-by-step explanation:
The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.
Answer: 525
Step-by-step explanation:
450+15+60=525
Answer:
The cost of each ticket is $30.
Step-by-step explanation:
$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.
450 ÷ 15 = 30
Jason’s current age is 1/4 his mom’s current age. In 16 years, Jason’s age will be 1/2 his mom’s age. The equation below can be used to determine x, Jason’s current age. What is Jason’s current age, in years
Answer:x=8
Step-by-step explanation: if you download Math-way you’ll get a lot of answers I was doing a test and I seen u didn’t have an answer so I decided to help you
Arrange the 9 digits in three arithmetic sums. Using three of the four operations of addition, subtraction, multiplication, or division. Use no signs except the signs using those operations. Here is an example
You must use digits 1 - 9 and only ONCE
3 + 4 = 7
9 - 8 = 1
30 / 6 = 5
The above example is not correct, because it does not contain 2, and three is repeated.
Answer:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
Step-by-step explanation:
Given: The basic arithmetic operations: addition, subtraction, multiplication or division.
Digits from 1 - 9
Using three arithmetic operations - addition, subtraction, multiplication, and the given digits, the following three expressions can be formed:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
It can be observed that there is no repetition of digits in the above expressions as required.
The ratio of boys to girls in a classroom is 7 to 11. If
there are a total of 49 boys in the classroom, then how
Many boys and girls are there altogether?
Answer:
77 girls
Step-by-step explanation:
becasue 49 divided by 7 is 7. so you just multiply 11 by 7. ANd that will get you 77
20098765432 plus 34567890
Answer: 20133333322
Step-by-step explanation: I just did it thx
What is the Equation of the Line Passes through the points (-4,8) and (1,3)
show work please, i need these asap and thx for trying :)
y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through points (-4,8) and (1,3)
m=3-8/1+4
=-5/5=-1
Now we need to find the y intercept
8=-1(-4)+b
8=4+b
b=4
Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
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round 2.33459 to the hundreths place
Answer:
2.33
Step-by-step explanation:
Answer:
go to your hundredths place. since 4 is not greater than 5 then it would round down. so the final answer would be 2.33
