-15x + 20y = 15-5
0-18x + 24y - 18
Answers
Answer:
To solve this system of linear equations, we need to first rewrite the equations in standard form, which is the form y = mx + b. To do this, we can isolate the y-term on one side of the equation and the x-term and constant on the other side. For example, the first equation can be rewritten as follows:
-15x + 20y = 15-5
20y = 15 - 5 - 15x
y = -3/4 x + 2
Similarly, the second equation can be rewritten as follows:
0 - 18x + 24y - 18
24y = -18 - 18x
y = -3/2 x - 1
Now that the equations are in standard form, we can find the point of intersection by setting the two equations equal to each other and solving for x:
-3/4 x + 2 = -3/2 x - 1
-3/4 x + 2 + 3/2 x = -1 + 3/2 x
x = -1/6
Substituting this value of x into either equation, we can solve for y to find the point of intersection:
y = -3/4 x + 2
y = -3/4 (-1/6) + 2
y = 1/3
Therefore, the point of intersection for these two equations is (-1/6, 1/3). This means that the system of equations has exactly one solution at this point.
Related Questions
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answers
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answers
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
Look at the table showing prices of different items at a grocery store.
Items for Sale
Watermelons
$14.97 for 3
Boxes of Cereal
$15.80 for 4
Bags of Pretzels
$10.77 for 3
Ice Cream
$18.36 for 4
Which items cost less than $3.99 per item?
O boxes of cereal and bags of pretzels
O ice cream and watermelons
O bags of pretzels and watermelons
watermelons and boxes of cereal
Answers
Answer:
boxes of cereal and bags of pretzels
Step-by-step explanation:
I just took the test :)
Answer:
A Box of cereal and pretzels
Step-by-step explanation:
The unit price for each is under 3.99 per item.
evaluate
6*7-3^2*9+4^3
Answers
Answer:
42-9×9+64
=42-81+64
= 106-81
=25
Which fraction is equivalent to
4/6
Answers
Answer: 2/3
Step-by-step explanation: 4/6 simplified is 2/3 because 4/6 divided by 2 is 2/3.
Answer:
2/3
Step-by-step explanation:
4 2x2
----
6 2x3
= 2/3
plz mark brainleist
Which are the partial products of 3706 x 4?
Answers
Answer:
There are no partial products to this equation. There is only one product! Okay first we will multiply 4 x 6 to get 4 in our ones place, carry the 2 over the zero put the 2 down 4 x 7 is 28 put the 8 down carry the 2, 4 x 3 is 12 + 2 is 14! So you're final product is 14,824!!!
The partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
The given product is 3706 x 4 and can be written as:-
3706 x 4 = [ 3000 x 4 + 706 x 4 ]
Therefore, the partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).
To know more about multiplication follow
brainly.com/question/10873737
#SPJ2
There are 10 roller coasters at 6 flags. If you only have time to ride 3 before the park closes. How many different ways can you create a path to 3 different roller coasters?.
Answers
There are 120 different ways to create a path to 3 different roller coasters at Six Flags.
There are a total of 10 choose 3 ways (120) to choose 3 roller coasters out of the 10 available at Six Flags. To calculate this, we can use the combination formula.
The combination formula is:
nCr = n!/(r!(n-r)!).In this case, n is 10 and r is 3, so the total number of possible combinations is
10!/3!7! = 120.To calculate the number of combinations without using a formula, we can use the following method: Start with the first roller coaster, then add a second roller coaster, then a third. There are 10 choices for the first roller coaster, then 9 for the second, and 8 for the third. This results in:
10x9x8 = 720 possible combinationswhich is 6 times more than the 120 calculated by the combination formula. This is because the combinations ABC and CBA are the same, and so are other combinations that are just permutations of each other.
Therefore, there are 120 different ways to create a path to 3 different roller coasters at Six Flags.
Learn more about combinations:
https://brainly.com/question/28065038
#SPJ4
3x^2-18x=-15 by complete the square
Answers
The solutions to the equation 3x²-18x=-15 by completing the square are x = 1 and x = 5.
How to solve quadratic equation by completing the square?In order to make an equation a perfect square, something must be added. This is known as "completing the square." This makes a number of equations simple to solve. In fact, by solving the square, all quadratic problems can be resolved.
According to question:To complete the square for the equation 3x²-18x=-15, we can follow these steps:
Move the constant term to the right side of the equation:
3x² - 18x + 15 = 0
Divide both sides by the coefficient of x^2 to make the coefficient 1:
x² - 6x + 5 = 0
To complete the square, we need to add and subtract the square of half of the coefficient of x:
x² - 6x + 9 - 4 = 0
(x - 3)² = 4
Take the square root of both sides to solve for x:
x - 3 = ±2
x = 3 ± 2
x = 1 or x = 5
Therefore, the solutions to the equation 3x²-18x=-15 by completing the square are x = 1 and x = 5.
To know more about Quadratic equation visit:
brainly.com/question/30098550
#SPJ1
How many solutions are there to the equation below? 17 x - 8 = 3x + 16
maqth
Answers
Answer:
There is one solution and that answer is mixed number form 1 5/7 or exact form 12/7
Step-by-step explanation:
r3 – [q + (r – s)2 ]
Answers
The expression is simplified to r²( r + 1) - (q - s²)
What are algebraic expressions?Algebraic expressions are mathematical expressions made up of variables and constants.
They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc
Given the expression;
r3 – [q + (r – s)2 ]
With the knowledge of BODMAS, we expand the bracket
r³ - q + ( r + s²)
r³ - q + r² - s²
Now, let's collect like terms
r³ + r² - q - s²
(r³ + r²) - (q - s²)
Factor out r, we then have;
r²( r + 1) - (q - s²)
The expression is simplified to r²( r + 1) - (q - s²)
Thus, the expression is simplified to r²( r + 1) - (q - s²)
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
On a certain hot summer day, 606 people used the public swimming pool the daily prices are 1.50 for children and 2.00 for adults the receipts for admission totaled 1042.50 how many children and how many adults swam at the public pool that day
Answers
Answer:
rsgsadfg
Step-by-step explanation:
d dhrtyeyerte
find the sum of the AP 1 + 3 ½/2 +6.... 101
Answers
Answer:
2091
Step-by-step explanation:
\(1+3.5+6+\cdots+101 \\ \\ n=\frac{101-1}{2.5}+1=41 \\ \\ a=1 \\ \\ d=2.5 \\ \\ S=\frac{41}{2}[2(1)+(41-1)(2.5)] \\ \\ =2091\)
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
A: 70>t-55
B: 70<t-55
Theres a line under the < For C
C: 70<t+55
D: 70>t+55
Answers
Answer:
c is the answer i dont know just here for the points
Step-by-step explanation:
i guess
True or False: This table describes a linear function.
XY
1 5
2 8
3 10
Answers
Answer:
False
Step-by-step explanation:
The slope is not constant
Jamison needs a total of $395 to buy a new bike. He has $35 saved. He earns $15 each week delivering newspapers . How many more weeks will Jamison have to deliver papers to earn enough money for a bike?
Answers
An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.
Now, the equation that can represent the situation can be written as,
Cost of the bike = Amount Saved + Earning by delivering newspapers
Substituting the values,
$395 = $35 + $15x
where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,
395 = 35 + 15x
395 - 35 = 15x
360 = 15x
x = 360 / 15
x = 24
Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ1
The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the surface area of the candle? Use 3.14 for Pi. Round to the nearest whole square inch.
A cylinder with a radius of 3 inches and height of 5 inches.
Recall the formula S A = 2 pi r squared + 2 pi r h.
48 square inches
151 square inches
251 square inches
414 square inches
Answers
Answer: 151sq
Step-by-step explanation:
You may use the formula for a cylinder's surface area to determine the candle's surface area:
SA = 2πr^2 + 2πrh
Given:
Radius (r) = 3 inches
Height (h) = 5 inches
Pi (π) = 3.14 (approximately)
Now, enter the values into the formula to get:
SA = 2 * 3.14 * 3^2 + 2 * 3.14 * 3 * 5
SA = 2 * 3.14 * 9 + 2 * 3.14 * 3 * 5
SA = 56.52 + 94.2
SA ≈ 150.72 square inches
The candle has a surface area of around 151 square inches.
Brenda pours laundry detergent from a bottle into the cap and then into the washing machine. Every time she fills the cap, the amount of detergent in the bottle changes by -0.26 liters. She fills the cap 3 1/4 times in all. John has a different bottle of detergent that is the same size. Every time he fills his cap, the amount of detergent in his bottle changes by -0.21 liters. He fills his cap 2 5/6 times in all. Who has the greater total change in the amount of detergent in their bottle?
Answers
Answer:
John
Step-by-step explanation:
A rectangular roof has a length of 13g and a width of 4g+7. write an expression for the area of the roof.
Answers
Answer:
13g*4g+7
Step-by-step explanation:
Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
Answers
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
Learn more about the present value at https://brainly.com/question/20813161.
#SPJ1
Can anyone help me solve these ?
Answers
Answer:
try using demos its a great app for creating and reading maps
anyone know the answer?
Answers
Answer:
no
Step-by-step explanation:
Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
Answers
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
Learn more about Ratios here :
https://brainly.com/question/1706633
#SPJ9
is the ordered pair a solution to the equation. y=-7; (-5,6)
Answers
Answer: No
To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.
If the equation is true, then the ordered pair is a solution to the equation.
If we put (-5,6) into y=-7, we get 6=-7, which is not true.
So, (-5,6) is not a solution to the equation y=-7.
Select the correct answer.
What is the simplified form of 3 squared 7 - 5 squared 7?
A. -2 squared 7
B. 2 squared 7
C. -14 squared
D. 15 squared 7
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Need the answer now!
Answers
Answer: -2√7
Step-by-step explanation:
In the diagram, the measure of angle 5 is (10x – 9)°, and the measure of angle 7 is (9x)°. What is the measure of angle 6, to the nearest degree?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 6, to the nearest degree?
Answers
9514 1404 393
Answer:
99°
Step-by-step explanation:
If we assume that angles 5 and 7 are vertical angles, they are congruent:
10x -9 = 9x
x = 9 . . . . . . . add 9-9x
Then angles 5 and 7 are ...
(10·9 -9)° = 9·9° = 81°
Angle 6 will be the supplement to this.
angle 6 = 180° -81°
angle 6 = 99°
Answer:
the answer is not 99
Step-by-step explanation:
Translate and solve:17.433 is what percent of 14.9
Answers
Answer:
117%
Step-by-step explanation:
17.433=x/100(14.9)
1743.3/14.9=x
117
Which model represents the equation 4w+3=3w+6
Answers
Answer:
w=3 (please give me brianliestt!!)
Step-by-step explanation:
4w+3=3w+6 (subtract 3 from both sides)
-3 -3
4w=3w+3 (subtract 3w on both sides)
-3w -3w
1w=3 (divide by 1)
w=3
What is the domain of the graph 1? What is the range of graph 1? What is the domain of graph 2and what is the range of graph 2
Answers
EXPLANATION
Graph 1)
Domain: All real numbers
Range: All real numbers
Graph 2)
Domain: -1≤ x≤ 5
Range: -1≤ y ≤ 2
Aaron bought 2 pounds of cheese for $6. Assuming the situation is proportional, determine how much it will cost for Aaron to buy 15 pounds of cheese.
Answers
The population of a country was 64 million in 1993 and the continuous exponential growth rate was
estimated at 2.7% per year. Assuming that the population of the country continues to follow an
exponential growth model, find the projected population in 2008. Round your answer to 1 decimal
place.
The approximate population in 2008 is
million people
Answers
Answer: 104.1
Step-by-step explanation:
If \(P(t)\) represents the initial population in millions. \(t\) years after 1990, then \(P(t)=64e^{0.027t}\).
2008 is 18 years after 1990, so \(P(18)=64e^{0.027 \cdot 18} \approx 104.1\)
The exponential growth of population in 2008 is 95.4 million
What is exponential growth factor?
The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the population of the country in 1993 be = 64 million
The exponential growth rate r = 2.7 %
So , the population of the country in 2008 is calculated by
The time t in years = 2008 - 1993
= 15 years
So , the equation for exponential growth rate is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
And substituting the values in the equation , we get\
x ( 15 ) = 64 × ( 1 + 0.027 )¹⁵
x ( 15 ) = 64 × ( 1.027 )¹⁵
x ( 15 ) = 64 × 1.49127
x ( 15 ) = 95.4413
So , the value of x ( 15 ) = 95.4 million
Hence , The exponential growth of population in 2008 is 95.4 million
To learn more about exponential growth click :
https://brainly.com/question/13674608
#SPJ1