The expression that we can use to substitute into the first equation is
x = - 3y + 12.
Substitution Method:
The algebraic approach to solving linear equations is known as the substitution method. This procedure involves substituting a variable's value from one equation into the other. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.
Here we have
2x + y = 8 ---- (1)
- x - 3y = -12 ----- (2)
We can isolate x in the second equation as given below
=> - x - 3y = -12
Add 3y on both sides
=> - x - 3y + 3y = - 12 + 3y
=> - x = - 12 + 3y
Multiply by -1 on both sides
=> -(- x) = - (- 12 + 3y)
=> x = + 12 - 3y
=> x = - 3y + 12
Therefore,
The expression that we can use to substitute into the first equation is
x = - 3y + 12.
Learn more about the Substitution Method at
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Jimmy has 6 computers and 7 printers to choose from. How many possible computer- printer combinations are there to make?
O 42
O 13
Answer:
13
Step-by-step explanation:
Computers=6
Printers=7
Now,
=6+7
=13
guys help im bad at math
Answer:
A = 13
B = 50
C = 22.5
D = 3.5
E = 16.3
Step-by-step explanation:
divide each area by 4
ex: 52 ÷ 4 = 13
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9514 1404 393
Answer:
A: j = 25 +55hB: m = 50 +30h1 hourStep-by-step explanation:
We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:
j = 25 +55h
Job B is the charge at Myron's shop. Similarly, that charge is ...
m = 50 +30h
__
The two charges are equal when ...
j = m
25 +55h = 50 +30h
25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation
h = 1 . . . . . . . . . . divide by 25
The charges are the same at the two shops for 1 hour worked.
_____
Additional comment
You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.
__
In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.
set up a proportion and use it to solve for x
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Set up the proportion
[tex] \frac{3}{6} = \frac{7}{6 + x} [/tex]
[tex]18 + 3x = 42[/tex]
[tex]3x = 24[/tex]
[tex]x = 8[/tex]
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Answer:
perimeter = 48 Area = 144
Step-by-step explanation:
was that all?
I need help if you get right I will mark you
Answer:
20% of his budget
Step-by-step explanation:
1500 - 100% /10
150 - 10 % ×2
300 - 20%
Answer:
20%
Step-by-step explanation:
The % is 300 / 1500 * 100% = 0.2 * 100% = 20%
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size what is the scale of the new drawing
Answer:
4 and 40
Step-by-step explanation:
2/5 of 10 is 4
2/5 of 100 is 40
Question:
Simplify. √(36)²
Answer:
36
Step-by-step explanation:
sqrt(36)^2
36
I hope this helps
Gaelle Bosquet Nth Term of an Arithmetic Sequence Apr 10, 12:29:36 AM Find the 60th term of the arithmetic sequence 4,-1,-6, ... Answer: Submit Answer
Answer:
The nth term is [tex]a_n = 4 - 5(n-1)[/tex]
The 60th term of the sequence is -291.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.
The nth term is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
4,-1,-6
The common difference is:
[tex]d = -1 - 4 = -5[/tex]
First term [tex]a_1 = 4[/tex]
So
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = 4 - 5(n-1)[/tex]
60th term:
[tex]a_{60}[/tex]. Si
[tex]a_{60} = 4 - 5(60-1) = -291[/tex]
The 60th term of the sequence is -291.
Please help. Thank you.
Answer:
-10m-9
Step-by-step explanation:
-3(4m+3)+2m
combine like terms
-12m-9+2m
-10m-9
0. Folded boxes a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 5 ft by 8 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides of length /. Find the volume of the largest open box that can be formed in this way.
Answer:
Box dimensions:
L = 3 ft
D = 6 ft
H = 1 ft
Volume V = 18 ft³
Step-by-step explanation:
a) Each side of the future box is
L = 5 - 2*x D = 8 - 2*x
height of the box is x
Then the volume of the box as function of x is:
V(x) = ( 5 - 2*x ) * ( 8 - 2*x ) * x
V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x
V(x) = 40*x - 26*x² + 4*x³
Tacking derivatives on both sides of the equation:
V´(x) = 40 - 52*x + 12x² or V´(x) = 20 - 26*x + 6*x²
If V´(x) = 0
6*x² - 26*x + 20 = 0
Solving for x
x₁,₂ = (-b ± √ b² - 4*a*c ] /2*a
x₁,₂ = ( 26 ± √ 676 - 480 ) / 12
x₁,₂ = (26 ± 14 )/ 12
x₁ = 1
x₂ = 3,33 ( we dismiss this solution since is not feasible according to cardboard dimensions )
Then the sides of the box are:
L = 5 -2*x L = 5 - 2*1 L = 3 ft
D = 8 - 2*x D = 8 - 2*1 D = 6 ft
H = x = 1 ft
And the volume is V = 6*3*1 = 18 ft³
8 3/4 divided by 3 1/2
Answer:
[tex]2\frac{1}{2}[/tex]
Step-by-step explanation:
I’ll give points + brainslist, if you don’t know don’t bother answering (:
Answer:
I think that its D
Step-by-step explanation:
..
Answer:
A 2
Step-by-step explanation:
have a good day /night sorry if wrong
The sim of any matrix and a zero matrix is
A. Undefined
B. Zero
C. The zero matrix
D. The original matrix
It’s D the answer is D
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
the measures of the three angles: x=18°, y= 68°, z=. 94°
A flower bed is in the shape of a triangle, with a base of 11 feet and a height of 7 feet. What is the area of the flower bed
Answer:
38.5ft²
Step-by-step explanation:
Triangle area formula = [tex]\frac{1}{2} * b * h[/tex]
Triangle area = [tex]\frac{1}{2} * 11 * 7[/tex]
Triangle area = 0.5 * 11 * 7
Triangle area = 38.5ft²
Answer: GIVE THE GUY BRAILIEST PLEASE
Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20
Answer:
-18, |-17|, |-18|, |19|, 20
Step-by-step explanation:
the absolute value of -17 is 17, the absolute value of -18 is 18, and the absolute value of 19 is just 19. Absolute values are never negative.
Hope this helps!
A block of wood measures 5.5 inches by 3.5 inches by 9 inches. What is the volume of the block of wood
Answer:
V = 173.25 in³Steps:
V = 5.5 × 3.5 × 9
V = 173.25 in³
PLEASE HELP!! NO SCAM LINKS
9514 1404 393
Answer:
(d) new line is less steep
Step-by-step explanation:
Changing the slope from 3 to 1/3 makes the line less steep.
__
In the attachment, the blue line is the new line.
help me please! i’m giving brainliest! :)
A desk measures 3 feet in height. How many inches does the desk measure in height?
Answer:
36 Inches
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
it would just be 12×3=36
5/8 in simplest form.
Answer:
5/8 in simplest form is 5/8
Step-by-step explanation:
Answer:
5/8 is in the simplest form already.
Step-by-step explanation:
It cant be lowered anymore, due to 5 not being divisible by 4, 2, or 8, which is what 8 is divisible by.
Help me I beg u! The pre-image coordinates of a triangle are J(-6,9), K(-6,4), and L(-3,4). The coordinates of the transformed triangle are J'(2,9), K'(2,4), and L'(5,4). What transformation has occurred? A. translation B. reflection C. dilation D. rotation Reset Next Question
Answer:
A. Translation
Step-by-step explanation:
Given
Preimage
[tex]J = (-6,9)[/tex]
[tex]K = (-6,4)[/tex]
[tex]L = (-3,4)[/tex]
Image
[tex]J' = (2,9)[/tex]
[tex]K' = (2,4)[/tex]
[tex]L' = (5,4)[/tex]
Required
Which transformation occurred
The transformation that occurs is translation because each of the preimage were translated or shifter right by 8 units.
The rule applied here is:
[tex](x,y)=>(x+8,y)[/tex]
So, we have:
[tex]J = (-6,9)[/tex] [tex]==> (-6+8,9) = (2,9)[/tex]
[tex]K = (-6,4)[/tex] [tex]==> (-6+8,4) = (2,4)[/tex]
[tex]L = (-3,4)[/tex] [tex]==> (-3+8,4) = (5,4)[/tex]
Hence, the transformation is (a) Translation
Can someone help me with this question?
Answer:
D
Step-by-step explanation:
2 x 2 = 4 x PI = 12.56
Find the slope of the line passing through the points (-6,-9) and (9,-9)
Rachel has a drawerful of pop, rock, metal, and country CDs. The table gives the probability of randomly picking a CD of each type from the
drawer.
Music Style Probability of Picking a CD
pop
0.2
rock
0.1
metal
0.3
country
0.4
Rachel picks a CD 150 times, replacing each pick before the next draw. Arrange the events in order from the lowest predicted frequency to the
highest predicted frequency.
picking a pop
music CD
picking a rock
music CD
picking a metal
music CD
picking a country
music CD
Answer:
rock, pop, metal, country
Step-by-step explanation:
i just took the test :)
On Edmentum and got it right.
find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmetic or geometric
-3,9,-27,81,
whcich expression are equivialant to the one below 3^4*3^x
Answer:
3x+4
Step-by-step explanation:
joseph left the house at 11:17 A.M and returned at 12:45 P.M how many minutes was joseph gone from the house
Pls help with this asap