Solve the system using elimination. 3 x plus 3 y equals 27. x minus 3 y equals negative 11.
Answer:
- 5/4
Step-by-step explanation:
Answer:
x=4 and y=5 commonly notated as (4,5)
Step-by-step explanation:
The equations
Equation 1: 3x+3y=27
Equation 2: x-3y= -11
The second equation looks like it will be the easiest to rearrange.
x-3y = -11
add 3y to each side to get
x = 3y-11
Substitute that in for x in equation 1 so
3x+3y=27
turns into
3(3y-11) +3y =27
multiply out to get
9y-33+3y =27
Condense variables
12y-33=27
add 33 to each side
12y= 60
Divide by 12
y = 5
Plug into one of the original equations (I will be doing both to show it doesn't matter what equation you use, but you only need to use one equation, I personally think it is easier to plug into the second equation)
Equation 1: 3x+3y=27
Plug in what we got for y
3x+3(5)=27
multiply
3x+15=27
subtract 15 from each side
3x=12
divide by 3
x=4
Equation 2: x-3y = -11
Plug in what we got for y
x-3(5) =-11
Multiply
x-15= -11
Add 15 to each side
x=4
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Answer:
oop
Step-by-step explanation:
Answer:
who?
Step-by-step explanation:
could someone answer this pls thank u
Given:
The area model.
The area of the shape is 82 square units.
To find:
The correct equation for the given situation.
Solution:
We know that, area of a rectangle is
[tex]Area=Length \times Width[/tex]
The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is
[tex]A_1=(x)\times (3x)=3x^2[/tex]
[tex]A_2=(x)\times (4)=4x[/tex]
[tex]A_3=(3)\times (3x)=9x[/tex]
Now, the total area is equation to 82 square units.
[tex]A_1+A_2+A_3=82[/tex]
[tex]3x^2+4x+9x=82[/tex]
[tex]3x^2+13x=82[/tex]
Since the required equation is [tex]3x^2+13x=82[/tex], therefore, the correct option is C.
Find the value of x in the triangle shown below.
Answer: x = 5
Step-by-step explanation:
Use Pythagorean's Theorem
[tex]a^2+b^2=c^2\\12^2+x^2=13^2\\144+x^2=169\\x^2=25\\x=5[/tex]
r + 8 > 21 what the ansr
Answer: r>13
Step-by-step explanation:
The sign is less than so r +8 has to be 20 or less.
what is the value of w?
Answer:
12.58
Step-by-step explanation:76+70-360/17=w
w = 2
70+76= 146
180-146=34
17w = 34
divide by 17 on each side
answer is w=2
18
Calculate the following leaving your answer in standard form.
(1 Point)
[tex]3 \times 10 { }^{2} + 2 \times 10 {}^{3} [/tex]
5. In the picture shown, point D is the image of point A after a clockwise rotation about point C
by 136 . Points B, C, and D are collinear. Which statement below must be true?
Answer:
hhmmmmmhmmmm hmhmmmm hmmm yeah i got nothing
Step-by-step explanation:
3n - 17 = -50
two step equations help please
Answer:
n = -11
Step-by-step explanation:
3n - 17 = -50
⇒ 3n = -33
⇒ n = -11
Answer:
n = -11
Step-by-step explanation:
3n - 17 + 17 = -50 + 17
3n = -33
3n/3=-33/3
n = -11
PLEASE HELP!!!! DUE TODAY!!!
Bidet used a computer algebra system (CAS) to find the quotient of (4x^3+2x^2+3x+5)^2 and x^2+3x+1. Which statement correctly shows a way to enter this problem into a CAS?
A. Division[4x^3+2x^2+3x+5^2, x^2+3x+1]
B. Division[ (4x^3+2x^2+3x+5)^2] [x^2+3x+1]
C. Division[ (4x^3+2x^2+3x+5)^2, x^2+3x+1]
D. Division[2 (4x^3+2x^2+3x+5), x^2+3x+1]
=============================================================
Explanation:
It honestly depends on the CAS program, but for GeoGebra for instance, the general format would be Division[P, Q]
Where,
P = numerator = (4x^3+2x^2+3x+5)^2Q = denominator = x^2+3x+1As another example, let's say we want to divide x^2+5x+6 all over x^3+7 as one big fraction
We would type in Division[x^2+5x+6, x^3+7]
Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar?
Answer:
She pays 0. 05$
Step-by-step explanation:
Cost per once is 40, peanut butter is 5. 20 divide those 2 you will get 0. 13
Now divide it by the butter price 2. 70/15
It will be 0. 18
Subtract 0. 18-0. 15
Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar?
She pays 0.05$
1 2/3 −3/4= _ −_=
Rewrite using twelfths.
The population of a town is decreasing at a rate of 1% per year. In 2015 there were 1300 people. Use an exponential function to find the population in 2023.
Answer:
500 i belive sorry if i wroung
Step-by-step explanation:
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Answer: x = 1 and y = 2
Step-by-step explanation:
Solve for y in the first equation by adding 2x to both sides
[tex]y=2x[/tex]
Then plug this in for the y value in the second equation
[tex]3x+4(2x)=11[/tex]
Combine like terms and simplify
[tex]3x+8x=11\\11x=11\\x=1[/tex]
Plug x into either equation to find the y value
[tex]y=2x\\y=2(1)\\y=2[/tex]
Write an equation.
Find the constant of proportionality and write an equation for the proportional relationship.
y = 10 and x = 8
Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get
[tex]10=k(8)[/tex]
[tex]\dfrac{10}{8}=k[/tex]
[tex]\dfrac{5}{4}=k[/tex]
Putting [tex]k=\dfrac{5}{4}[/tex] in (i), we get
[tex]y=\dfrac{5}{4}x[/tex]
Therefore, the contestant of proportionality is [tex]k=\dfrac{5}{4}[/tex] and the equation for the proportional relationship is [tex]y=\dfrac{5}{4}x[/tex].
ILL GIVE YOU BRAINLIEST
Answer:
ITS A 100% B
15z-12
Step-by-step explanation:
What is the surface area of a cylinder with a base diameter of 8 inches and a height of 5 inches. Use 3.14 for pie.
Answer:
surface area=226.12 in^2
Step-by-step explanation:
8x3.14x5=circular area=125.6
(8/2)^2 x 3.14=0ne end of cylinder area=50.26
125.6+50.26+50.26=226.12
Find a. Round it to the nearest tenth
Answer:
42637646e6r7r7e7464664
Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years
Answer:
The worth of the TV after 3 years is £809.90208
Step-by-step explanation:
The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine
The given parameters of the TV are;
The amount at which Collin buys the TV, P = £720
The rate at which the TV depreciates at, R = 4%
The number of years the depreciation is applied, T = 3 years
The amount the TV is worth after three years, 'A', is given as follows;
[tex]A = P \cdot \left(1 + \dfrac{R}{100} \right )^T[/tex]
By plugging in the known values, we have;
[tex]A = 720 \cdot \left(1 + \dfrac{4}{100} \right )^3 = 809.90208[/tex]
The amount the TV is worth after three years, A = £809.90208
What the answer to this -8 x -6 =
Answer:
48
Step-by-step explanation:
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Step-by-step explanation:
-3x + 7y = 5x + 2y (you subtract the 2y from both sides)
-3× + 5y = 5x (then add 3x to both sides)
5y = 8x (use x = - 5)
5y = 8x - 5 = -40 (both sides are divided by 5)
y = -8
answer is (-5, -8)
11.1 x 0.8 x 1.16 x 0.4
(IMPORTANT!!!) Identify the function shown in this graph.
Evaluate the expression for r = 9. 15 + r =
Write an equation that represents the line.
Answer:
COORDANITE GRID
Step-by-step explanation:
y=1x+2 y=3x-4 use substtiution
Answer:
3Y - 4X - 4
Step-by-step explanation:
Is 6 a factor of 327 + 8?
Susan said, "I multiplied 100 by 47, and then I removed one group of 47." Write an expression to represent how Susan solved 99x47. Then evaluate the expression.
Answer:
The expression of how Susan solved 99 × 47 is;
99 × 47 = 100 × 47 - 47
The evaluation of the expression is;
99 × 47 = 4653
Step-by-step explanation:
The question relates to the simplification of the multiplication of two numbers by the use of a combination multiplication of one of the numbers, 'x', with the nearest 10s or 100s of the other number, 'y', followed by the subtraction or addition operation of the product between the number 'x' and the difference between the specified 10s or 100s and 'y';
The given information on how Susan solved the equation 99 × 47 can be presented as follows;
99 × 47 = (100 - 1) × 47 = 100 × 47 - 47
The expression of how Susan solved 99 × 47 is therefore presented as follows;
99 × 47 = 100 × 47 - 47
The evaluation of the expression is therefore given as follows;
100 × 47 - 47 = 4700 - 47 = 4653.
plssss help i just cant figure it out
HELP!! due right now!! giving brainlest?
Answer:
45
Step-by-step explanation:
7+11= 18
18/2=9
9*5=45