Answers
Answer:
s = -1
r = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2r + 8s = -4
7r = -6s + 8
Step 2: Rewrite Systems
2r + 8s = -4
Factor: 2(r + 4s) = -4Divide 2 on both sides: r + 4s = -2Subtract 4s on both sides: r = -4s - 2Multiply -7 on both sides: -7r = 28s + 14Step 3: Redefine Systems
-7r = 28s + 14
7r = -6s + 8
Step 4: Solve for s
Elimination
Combine equations: 0 = 22s + 22Isolate s term: -22 = 22sIsolate s: -1 = sRewrite: s = -1Step 5: Solve for r
Define equations: 2r + 8s = -4Substitute in s: 2r + 8(-1) = -4Multiply: 2r - 8 = -4Isolate r term: 2r = 4Isolate r: r = 2Answer:
r = 2, s = - 1
Step-by-step explanation:
Given the 2 equations
2r + 8s = - 4 → (1)
7r = - 6s + 8 ( add 6s to both sides )
7r + 6s = 8 → (2)
Multiplying (1) by 7 and (2) by - 2, then adding will eliminate the r- term
14r + 56s = - 28 → (3)
- 14r - 12s = - 16 → (4)
Add (3) and (4) term by term to eliminate r , that is
44s = - 44 ( divide both sides by 44 )
s = - 1
Substitute s = - 1 into either of the 2 equations and solve for r
Substituting into (1)
2r + 8(- 1) = - 4
2r - 8 = - 4 ( add 8 to both sides )
2r = 4 ( divide both sides by 2 )
r = 2
solution is r = 2 , s = - 1
Related Questions
Y=2x + ? ITS DUE IN 20 MINUTES
Answers
2x + y = 7 3x -2y = -7 solve by substitution
Answers
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(1, 5)
Equation Form:
x = 1, y = 5
Brainliest Please!!
The solution for the given equations: x = 1 , y = 5.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given, equations
2x + y = 7 -------(a)
3x -2y = -7 -------(b)
Taking equation (a)
2x + y =7
y = 7 - 2x ------(c)
Substituting value of y in equation (b) from equation (c)
3x - 2(7 - 2x) = -7
3x - 14 + 4x = -7
7x = 7
x = 1
Putting value of x in equation (c)
y = 7 - 2 (1)
y = 5
Hence, x = 1 and y = 5 is the solution for the given equations 2x + y = 7 and 3x -2y = -7.
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-8(4+7)=-88 SIMPLIFY __=-88 PLEASE HELP
Answers
Answer:
Is this what you need?
-8(4+7)=-88
-8(11)=-88
-88=-88
5/6x - 2/3x
combine like terms....
Answers
Answer:
1/6x
Step-by-step explanation:
5/6x - 2/3x = 5/6x - 4/6x = 1/6x
Answer:
The answer is x.
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)
Answers
Answer:
From his starting point of 85 3/4, he descended 17 9/20 meters
Step-by-step explanation:
We want to know how much farther he went down from his starting point.
103 1/5 - 85 3/4
S
tart off by making the denominators of both the numbers the same.
103 1/5 - 85 3/4
103 4/20 - 85 15/20
Make them into improper fractions
2064/20 - 1715/20 = 349/20
Make 349/20 into a mixed fraction
17 9/20
A 28-inch ribbon is cut into 8 pieces that are all the same length. What is the length of each piece?
Answers
Answer:
3.5 inches
Step-by-step explanation:
28/8 = 3.5
Answer:
3.5 inches
Step-by-step explanation:
You have a 28-inch ribbon and you have to divide it into 8 equal parts. To do that:
28/8, which equals
3.5 inches
Suppose the length of a vehicle is drawn to scale. The scale of the
drawing is 1:30. if the length of the drawing of the vehicle on paper is
9.95 inches, how long is the vehicle in feet. (Use only a number for your
answer) *
Answers
Answer:
24.88
Step-by-step explanation:
If the scale of the drawing is 1:30, it means that the vehicle drawing is 30 times smaller than the actual vehicle.
Vehicle Length / 30 = Drawing LengthWith the above information in mind, we can calculate the length of the vehicle in inches:
Vehicle Length / 30 = 9.95 inVehicle Length = 30 * 9.95 inVehicle Length = 298.5 inFinally we convert inches to feet(dividing inches by 12):
298.5 / 12 = 24.875 feetTom received an allowance of $300 for his upcoming trip to Canada. He knows that he will spend $15 each day on food. Which equation represents the amount of extra spending money, m, that Tom will have after d days on his trip?
Answers
Answer:
m=15d-300
Step-by-step explanation:
Answer:
300-15d = m
Step-by-step explanation:
Since he spends 15 each day, we dont know how many days, so we put 15d to represent $15 spent each day (d)
We use this formula above ^ and subtract that from 300, which is why it's
300 - 15d
Lastly, we need to find money remaining, so 300 - 15d = m
Lin was looking at the equation 2x−32+4(3x−2462)=14x. She said, “I can tell right away there are no solutions, because on the left side, you will have 2x+12x and a bunch of constants, but you have just 14x on the right side.” Do you agree with Lin?
Answers
Answer:
Disagree with Lin: There are no solutions because 12x+2x is equal to 14x, if 14x=14x on both sides, the x variable can be cancelled out since they have the same slope
Step-by-step explanation:
I agree with Lin the system of equation 2x - 32 + 4(3x - 2462) = 14x
has no solution.
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Given, An equation 2x - 32 + 4(3x - 2462) = 14x.
2x - 32 + 12x - 9848 = 14x.
14x - 9880 = 14x.
So, 14x - 9880 ≠ 14x and has no solution.
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Divide: 2 ÷ 1/2
A. 2
B. 16
C. 8
D. 4
Answers
Answer:
D
Step-by-step explanation:
hope this helps :)
if this did help, mark me brainliest
Evaluate the expression
please help me
Answers
Answer:
19/9 i think
Step-by-step explanation:
No explanation
I don’t know. Please help
Answers
Answer:
The answer is D
Step-by-step explanation:
HELP PLZ!!Which equations have exactly one y-value for any given x-value? Select all that apply.
A.y = −x
B.x = 4
C.y = x2
D.y = x3
Answers
Answer:
The answer is A,C, and D
Step-by-step explanation:
pls help 20points if help.How would the growing season of plants in Florida differ from the growing season of plants in New York?
a.The growing seasons of both states are similar. This is because the climates of both states are similar.
b.The growing seasons of both states are the same. This is because the climate has very little effect on growing seasons.
c.The growing season in New York is much longer than the growing season in Florida. New York's seasons are warmer than seasons in Florida.
d.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.
Answers
Answer:
D.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.
Step-by-step explanation:
It costs $22 to get a pass at a ski report, plus $5.50 each hour to rent skis. Another ski resort charges $18 for a pass and $7.20 per hour to rent skis. Find the number of hours for which the costs are the same. Round your answer to the nearest half hour.
Answers
ski resort 1: 5.50x +22
ski resort 2: 7.20x +18
(x represents the number of hours)
set the equations equal to find when the costs are the same
5.50x+22=7.20x+18
solve for x (subtract 5.50x from both sides, subtract 18 from both sides)
4=1.7x (divide by 1.7)
2.4=x
in 2 and a half hours the cost would be the same
If Tammy has 5 credit cards that are all maxed out, a bank could deny her a loan to buy a house based on her __________.
Answers
Answer:
access to credit I think
Step-by-step explanation:
I don't know the options but if all her cards are maxed out, she must have horrible credit.
The bank can deny Tammy a loan to buy a house based on her access to credit.
Given that:
Tammy has 5 credit cards.
All of the 5 credit cards are maxed out, which means that all the credit cards have reached the limit of the card and the payment has to be fully paid at the earliest.
The credit scores of one person will be affected when the credit limits are reached and the payment has not been done.
For financial services like loans, credit limits are all important.
So, the bank can deny the service based on the access to credit.
Hence the correct option is A.
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The complete question is:
If Tammy has 5 credit cards that are all maxed out, a bank could deny her a loan to buy a house based on her __________.
A) Access to credit
B) Education history
C) Employment history
D) Delinquent payments
0.25(x + 4) – 3 = 28
Answers
Answer:
x = 120
Step-by-step explanation:
Given
0.25(x + 4) - 3 = 28 ( add 3 to both sides )
0.25(x + 4) = 31 ( divide both sides by 0.25 )
x + 4 = 124 ( subtract 4 from both sides )
x = 120
The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.
Here, we have,
To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:
Let's go through each step in detail:
Step 1: Distribute the 0.25 to the terms inside the parentheses.
0.25(x + 4) - 3 = 28
Distribute 0.25 to (x + 4):
0.25x + 0.25 * 4 - 3 = 28
Step 2: Simplify the equation by combining like terms.
0.25x + 1 - 3 = 28
Simplify 0.25 * 4:
0.25x + 1 - 3 = 28
0.25x - 2 = 28
Step 3: Isolate the variable x on one side of the equation.
To isolate the variable x, we want to get rid of the constant term -2 on the left side.
We can do this by adding 2 to both sides:
0.25x - 2 + 2 = 28 + 2
Simplifying:
0.25x = 30
Step 4: Solve for x.
To find the value of x, divide both sides by 0.25:
0.25x / 0.25 = 30 / 0.25
Simplifying:
x = 120
So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.
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Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution
Answers
3x - x + 2 = 11x + 9
2x + 2 = 11x + 9
X= - 7 over 9
The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation 3x + 2 - x = 11x + 9.
The first step would be subraction property of equality.
We'll subtract 2 from each side of the equation.
3x + 2 - x - 2 = 11x + 9 - 2.
3x - x = 11x + 7.
We choose subraction property of equality to separate the vriables and the constants.
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The football team has played 12 games so far this season they have won 8 games, what percent of their games has the team lost?
plz help I need to know how to set it up
Answers
Answer: They won 80% and lost 20%.
Step-by-step explanation:
A cell phone company charges $45 per month for unlimited calls and $0.25 per text messages. Another call phone company $0.15 per text messegaes and $70 per month for unlimited calls. Write an equation to reoresent when the cost from both compsnies will be the same after one month
Answers
Answer:
You first start by making your equation: 45 +.25x = 70 +.15x. then subtract .15x from both sides. it should look like 45 +.10x = 70. subtract 45 from both sides then you get .10x = 25. divide 10 to both sides and you get 250. so the two companies will be the same at 250 texts.
Step-by-step explanation:
Which interval is the solution set to 0.35x – 4.8 < 5.2 – 0.9x?
Answers
Answer:
B, (-symbol, 8)
Step-by-step explanation:
Answer:
(–∞, 8)
Step-by-step explanation:
I’m confused on how I can prove number 1 and 2, unless T is the median idk
Answers
Problem 1
We're given that QE = RW and QW = RE. This is given both in terms of symbols, and also visually in terms of the tickmarks. We have two pairs of congruent sides.
The third pair of sides is the overlapping shared segment of segment WE. So WE = WE by the reflexive property.
From here we use the SSS congruence property to conclude the proof that triangle QWE = triangle REW
==============================================
Problem 2
Segments BC and AE bisect each other. The term "bisect" means "to cut in half".
BC bisecting AE means AD = DE
AE bisecting BC means BD = DC
So we have two pairs of congruent sides. So far, we're on a similar path compared to problem 1. This time however, we'll use a pair of congruent angles instead of the third pair of sides.
Specifically we'll use the fact that
angle ADB = angle CDE
by the vertical angle theorem
Once we know that, we then use the SAS congruence theorem to prove triangle ABD = triangle ECD
To be honest, I'm not sure what you meant by "median", but we don't use any triangle medians here (none of the triangles shown have any medians drawn). You might be thinking of a previous problem.
Step-by-step explanation:
i hope this helps this is how u answerd to my question
Help as soon as possible plz!
Answers
Answer:
a or c
Step-by-step explanation:
Answer:
it would be B
Step-by-step explanation:
because if you look at the x and y axis thats the x axis
1
A line has a slope of -2 and a y-intercept of -2.
7
6
6
4
3
1
3-7-6-5-4-3-2-1
1 2 3
6 67
X
-3
4
-
--7-
What is the x-intercept of the line?
Answers
Answer:
-1
Step-by-step explanation:
How much was janes refund this year?
a 6835
b nothing
c 4190
d 2642
Answers
find the simple interest for having $2600 in the bank for 4 years the rate is 5%
Answers
Answer:
130 a year, so it would be $520 interest for 4 years in the bank.
Ryan played in 3 basketball games. He scored 18 points in the first game and 12 points in the second game. If he scored 42 points in all games combined, how many points did he score in the third game?
Answers
12points
Step-by-step explanation:
Let x be the number of points in the third game
His total number of points is 42
That is
18+12+x=42
30+x=42
x=42-30
x=12
I am doing a percent equation problem and I need help please here’s the question 20% of blank =10
Answers
Answer:
[tex]50[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] blank (for convenience)
[tex]20\%x=10[/tex]
[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)
[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)
[tex]x=50[/tex]
∴ Blank = 50
Hope this helps :)
I need help! Please help meee! I will give brainliest.
Answers
Answer:
I think it is D.....
I might be wrong though
Line segment RS has endpoints R(– 2, 4) and S (– 4, – 1). Line segment R''S'' has endpoints R'' (3, – 3) and S'' (5, 2). Name the transformations that map line segment RS to line segment R''S''. reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1) rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1) rotation of 90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1) translation (x, y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin
Answers
Answer:
Rotation of 180° about the origin,
Followed by a translation (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Given
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S" = (5,2)[/tex]
Required
Determine the transformations
From the list of given options (B) answers the question.
Rotation of 180° about the origin,
When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)
So:
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
becomes
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
A translation (x, y) → (x + 1, y + 1)
This implies that 1 is added to the x and y coordinates
So:
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
becomes
[tex]R" = (2 + 1,-4 + 1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S"=(4 +1,1+1)[/tex]
[tex]S" = (5,2)[/tex]