Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(0, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x + 2
3x + 3y = 6
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 3x + 3(x + 2) = 6[Distributive Property] Distribute 3: 3x + 3x + 6 = 6Combine like terms: 6x + 6 = 6[Subtraction Property of Equality] Subtract 6 on both sides: 6x = 0[Division Property of Equality] Divide 6 on both sides: x = 0Step 3: Solve for y
Substitute in x [1st Equation]: y = 0 + 2Add: y = 2Answer:
(0, 2)
Step-by-step explanation:
Since y is x + 2, we can replace y with x + 2
3x + 3y = 6
3x + 3(x+2) = 6
3x + 3x + 6 = 6
6x + 6 = 6
6x = 0
x = 0
y = x + 2
y = 2
Now we can check by replacing x with 0
3x + 3y = 6
3(0) + 3y = 6
0 + 3y = 6
3y = 6
y = 2
GIVE AN EXPLANATION PLEASE! 20 POINTS!! AND A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FORST SERVE BASES + ANSWER HAS TO BE CORRECT)
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
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Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45
The inequality that represents the statement on the number of marbles that the students have is 5x < 45.
What inequality represents the situation?The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x
This total is less than 45 however so the inequality will be:
(5 × x ) < 45
5x < 45
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Please help me here. I've tried this one over and over and I'm unable to get the answer that was given. How do I find the area of this triangle?
Answer:
jjdjdjdj and technology and technology and technology and technology and technology
what is the answer and how do you get the answer
Answer:
The answer is -10 or 1
Step-by-step explanation:
by doing multjoke for each and subtracting
Where do the light-dependent reactions of photosynthesis occur in a plant cell? Choose 1 answer:
A) Chloroplast; stroma
B) Mitochondrion: thylakoid membrane
C) Chloroplast; thylakoid membrane
D) Chloroplast: outer membrane
Answer:
C) Chloroplast; thylakoid membrane
Step-by-step explanation:
The question is a biological science question
The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane
The dark reactions take place inside the stroma
Therefore, the correct option is chloroplast; thylakoid membrane
The length of a rectangle is 7 ft less than three times the width, and the area of the rectangle is . Find the dimensions of the rectangle.
Answer:
See explanation
Step-by-step explanation:
the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.
Width = x
Length = 3x - 7
Area of a rectangle = length × width
180 = (3x - 7) * x
180 = 3x² - 7x
3x² - 7x - 180 = 0
Using quadratic formula
a = 3
b = -7
c = -180
x = -b ± √b² - 4ac / 2a
x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)
x = 7 ± √49 - (-2160) / 6
= 7 ± √49 + 2160 / 6
x = 7 ± √2209/6
= 7 ± 47 / 6
= (7 + 47)/6 or ( 7 - 47)/6
= 54/6 or -40/6
x = 9 or -6.67
x cannot be negative
Therefore,
x = 9 ft
Width = x = 9 ft
Length = 3x - 7
=3(9) - 7
= 27 - 7
= 20 ft
evaluate f(3) if (x) = -4x+5
Answer:
-7
Step-by-step explanation:
(sqrt)48,400 is a number that lies
between which two powers of 10?
Answer:4 and 8?
Step-by-step explanation:
A valid argument form is one in which, when you uniformly substitute for the variables, the result is
Answer:
True
Step-by-step explanation:
This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.
Find the measure of the third angle of a triangle if the measures of the other two angles are given.
102.9 and 40.4
Answer:
36.7
Step-by-step explanation:
180 - 102.9 - 40.4= 36.7
The measure of the third angle of the given triangle after applying the angle sum property of a triangle is 36.7 degrees.
The measures of the two angles of a triangle are 102.9 and 40.4.
We need to find the measure of the third angle.
What is the Angle Sum Property of a triangle?The angle sum property of a triangle states that the sum of all three interior angles of a triangle is 180 degrees.
If A, B, and C are the interior angles we have,
A + B + C = 180.
Consider the three interior angles to be A, B, and C.
We are given two angles 102.9 and 40.4.
Let A = 102.9, B = 40.4.
and C = angle to be measured.
Now,
Applying the angle sum property of a triangle.
We have,
A + B + C = 180
102.9 + 40.4 + C = 180
143.3 + C = 180
C = 180 - 143.3
C = 36.7 degrees.
After applying the angle sum property of a triangle we got the measure of the third angle as 36.7 degrees.
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Find the quotient: 63/-9
Answer:
-7
Step-by-step explanation:
63/9 but there is an odd number of negative numbers so negative answer
For every 19 litres of petrol a car can run for 50 km . How much petrol do you need ( to 1 DP ) to ensure the car has enough petrol of a trip that is 130 km
Answer:
49.4 liters
Step-by-step explanation:
we have the basic ratio between liters of petrol (gasoline) and distance driven :
19/50
now, the same ratio has to apply, when we talk about 130 km instead of just 50.
so,
19/50 = x/130
x = 130×19/50 = 13×19/5 = 49.4 liters
if I may add, this is a very bad or at least very, very big car based on today's standards ...
What's the answer? Also please tell the steps of the solution.
Answer:
[tex] \rm\displaystyle D) \left (1,3\right)[/tex]
Step-by-step explanation:
well to figure out the point we can consider the following formula:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{m x_{2} + n x_{1} }{m + n} , \frac{m y_{2} + n y_{1} }{m + n} \right)[/tex]
from the given we acquire that,
[tex](x _{1}, y_{1}) = ( - 1,7)[/tex][tex](x _{2}, y_{2}) = ( 4, - 3)[/tex][tex]m : n = 2 : 3[/tex]therefore substitute:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{(2) (4)+ 3( - 1) }{2 + 3} , \frac{(2) ( - 3) + (3)(7)}{2 + 3} \right)[/tex]
simplify multiplication:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{8 - 3 }{2 + 3} , \frac{ - 6+ 21}{2 + 3} \right)[/tex]
simplify:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{5}{5} , \frac{ 15}{5} \right)[/tex]
simplify division:
[tex] \rm\displaystyle \text C(x,y)= \left (1,3\right)[/tex]
hence our answer is D)
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
Points => (-1, 7) & (4, -3)
Ratio => 2 : 3
(x₁, y₁) = (-1, 7)
(x₂, y₂) = (4, -3)
(m₁, m₂) = (2, 3)
Formula = [tex]\large\left (\frac{m_{1} x_{2} + m_{2} x_{1} }{m_{1} + m_{2}} , \frac{m_{1} y_{2} + m_{2} y_{1} }{m_{1} + m_{2}} \right)[/tex]
Points which divide the line segment
= [tex]( \frac{2 \times 4 + 3 \times - 1}{2 + 3}, \frac{2 \times -3 + 3 \times 7}{2 + 3})[/tex]
[tex] =( \frac{8 - 3}{5} , \frac{ - 6 + 21}{5}) \\ = ( \frac{5}{5} , \frac{15}{5} ) \\ = (1,3)[/tex]
Answer => (1, 3) [option D]
The question is in the image
Answer:
$9Step-by-step explanation:
f(x) = - 25 ( x - 9 )² + 200when x = 5 ,
f(5) = - 25 ( 5 - 9 )² + 200 = - 200
when x = 9 ,
f(9) = - 25 ( 9 - 9 )² + 200 = 200
when x = 10 ,
f(10) = - 25 ( 10 - 9 )² + 200 = 175
when x = 15 ,
f(15) = - 25 ( 15 - 9 )² + 200 = -700
∴ when price = $9
the company receive the maximum profit
Answer:
9$
Step-by-step explanation:
PLS HELP + WORKING OUT !
Two thirds of the length of a sheet of plywood is 70mm. Calculate the total length.
Answer:
105 mm
Step-by-step explanation:
So this means 1/3 of the length is 35 mm. Now just multiply 35 by 3 to get the whole. 35*3=105. So 105 mm.
Answer:
105mm
Step-by-step explanation:
2/3= 70mm
70mm/2=35
35*3= 105
Rewrite as a power of 10: 1/10
Answer:
Step-by-step explanation:
You have to know how negative exponents "work" to understand this concept.
[tex]\frac{1}{10}=10^{-1[/tex] because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.
Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?
Answer:
If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.
Find the values of x and y.
Answer:
x=14
y=24
Step-by-step explanation:
4y+42=8y-54
4y-8y=54-42
-4y/4=96/-4
y=24
solving for x
5x-28=7x-56
5x-7x=-56+28
-2x/-2=-28/-2
x=14
The width of a DVD case is the same as the width of a
DVD. If the DVD case is a square with an area of 144 square
centimeters, what is the width of the DVD?
Answer:
12m
Step-by-step explanation:
Given that the area of the square DVD case is 144 square cm
Since Area = L²
144 =L²
L = √144
L = 12m
Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m
(9-3)+18÷9
show your work
(9-3)+18÷9
= 6+18÷9
= 6+2
= 8
Answer:
8
Step-by-step explanation:
Well, we need to use order of operations. Since there are parenthesis, we solve what is inside that first. So, 9-3=6. We have solved one part of the equation. There are no exponents so division comes next. 18/9=2. Now we are left with 6+2. 6+2=8. Therefore, your final answer is 8.
Jessie spent $10 on 3 hair accessories. Which point represents this relationship?
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
Answer: X or 30
Step-by-step explanation:
Triangle MNO is isosceles. Find the value of y and the measure of Angle O.
Y=______
Angle O=_______degrees
Answer:
y = 14
Angle O is 41 degrees
Step-by-step explanation:
From the question, since we have an isosceles triangle, then the base angles are equal
This means that the angle at M is (4y-15) too
Mathematically, the sum of the angles in a triangle is 180 degrees
Thus;
7y + 4y-15 + 4y-15 = 180
15y-30 = 180
15y = 180+ 30
15y = 210
y = 210/15
y = 14
Angle O is 4y-15
= 4(14) -15 = 56-15 = 41 degrees
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
x = 3.6
Step-by-step explanation:
[tex]Cos \theta = \frac{adjacent}{hypotenuse} \\\\ \ where \ \theta = 69^\circ , \ adjacent = TS = x ,\ Hypotenuse = SU = 10[/tex]
[tex]cos \ 69 = \frac{x}{10}\\\\x = 10 \times cos \ 69\\\\x = 10 \times 0.3584\\\\x= 3.584 \\\\x = 3.6[/tex]
I NEED HELP AND NOBODY HELPING ME !!
if we have 765 toys and there are 3 people how many toys should we give to each man
Answer:
255 is the answer
Step-by-step explanation:
Divide 765 by 3 and the answer will come .
Hope it will help u
When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than One-third the total number of guests. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Answer:
It's d or the 4th graph
Step-by-step explanation:
A graph which represents the overall equation (inequality) represented by this scenario.
What is a graph?A graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
Let the variable x represent the total number of guests.
Let the variable y represent the amount of meat
Next, we would write an inequality that represents an amount of meat that must be 2 pounds fewer than one-third (1/3) the total number of guests. Since the customer decides they want at least that amount of meat, the inequality symbol that must be used is greater than (>).
y > 1/3(x) + 2
y > x/3 + 2
In conclusion, the y-value for this inequality graph (see attachment) intersects the x-axis at 0 and 6 with the boundary line shaded upward and dashed to indicate that it is not part of the solution, which must be represented with a greater than (>) inequality symbol.
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Please help thank you!
Answer:
2
Step-by-step explanation:
X^2+Y^2=4=2^2
help please i need help help
Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2
Step-by-step explanation:
Brainly to whomever somehow solves for g & k. I WILL REPORT SCAMS AND UNHELPFUL/ UNRELATED ANSWERS.
Answer:
g = 48
k = 18
Step-by-step explanation:
h / 10 = 60 / 12
h / 10 = 5
h = 5 x 10
h = 50
40 / h = g / 60
40 / 50 = g / 60
4 / 5 = g / 60
g = ( 60 x 4 ) / 5
= 12 x 4
g = 48
90 / k = 60 / 12
90 / k = 5
k = 90 / 5
k = 18