The solution for the system of equations 3x + 6y = 6 and 2x + 2y = 6 is
B) There is one unique solution, (4, -1).
What is a solution for a system of equations?The solutions for a system of equation is the intersecting points between them
We know that system of equations has an infinite number of solutions when they coincide with each other as every point of a line falls into another line.
Systems of equations have a unique solution when they intersect each other and that intersecting point is the solution.
The system of equations has no solution when they are parallel to each other.
So, now we'll graph this system of equations and observe where they lie in XY coordinate.
Observing the graphs of both of these equations we can conclude that they have a unique solution (4,-1).
We can also solve these equations by multiplying equation(ii) by 3 and subtracting it from equation(i) and obtaining the values of (x,y).
learn more about the system of equations here :
https://brainly.com/question/24065247
#SPJ1
What is the volume of this prism?
Answer:
in the explanation
Step-by-step explanation:
seperate the prism into two. for the long rectanglular prism the formula is (6x2)x2 which is equal to 24. for the wider rectangular prism it's (4x4)x2=32. Add 32 and 24 together which makes the answer 56
let u = <5, 6>, v = <-2, -6>. find -2u + 5v.
can someone help me find the value of x & y
Step-by-step explanation:
step 1. AD is parallel to BC
step 2. <y = 90° (definition of right trapezoid)
step 3. x + y + 90 + 140 = 360 (a quadrilateral has 360° of internal angles)
step 4. x + 90 + 90 + 140 = 360
step 5. x = 40°.
Nina has one job babysitting another job walking dogs. Each week she babysits for 21 hours and walk stocks for nine hours Sharon $7.50 per hour for dog walking. She earns $1.50 more per hour for babysitting them for dog walking there are 4 1/2 weeks in the month of July. What is the best estimate for the total amount of money Nina earns in July.
Answers :
$250
$750
$1200
$1500
Answer:
The best estimate for her earnings is $1200
Step-by-step explanation:
Number of time spent babysitting each week = 21 hours = BBS
Number of time spent dog walking each week = 9 hours = DW
She earns $7.50 per hour for dog walking,
She earns $(7.50+1.50) = $9 for baby sitting,
There are 4 1/2 weeks = 9/2 weeks in July,
Now, for each week she earns 21(9) = $189 from baby sitting
and 9(7.5) = $67.5 from dog walking,
So, for the month of July, i.e. 9/2 weeks, she earns,
9/2(189) = $ 850.5 from baby sitting,
and (9/2)(67.5) = $303.75 from dog walking,
In total for the month, she earns,
850.5 + 303.75 = $1154.25
Hence the best estimate for her earnings is $1200
Please please heeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppppp
Answer:
22.4
Step-by-step explanation:
a^2 + b^2 c^2
20^2 + b^2 = 30^2
400 + b^2 = 900
b^2 = 500
b = 22.4
ILL GIVE BRAINLIEST
edward deposited 8,500$ into a savings account 4 years ago. The simple interest rate is 2%. How much money did earn in interest?
Answer:
680
Step-by-step explanation:
8500x.02x4=680
You do the amount deposited then you multiply that by the intrest rate ( but with the intrest rate you must move the decimal 2 times to the right) then you multiply how many years
Which multiplication problem can be used to determine how many possible combinations there are for a lock consisting of 3 digits from 0–9, if the digits can be repeated?
___________________
900
___________________
a rectangle has vertices (0,0), (2k,0) and (0,k) find the fourth vertex
If a rectangle has vertices (0,0), (2k,0), and (0,k) the fourth vertex will be (4,8).
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is given that the rectangle has vertices (0,0), (2k,0), and (0,k).
A(0,0)
B(2k,0)
C(0,k)
D(x,y)
Since the opposite of the rectangle is the same it will be opposite to one of the coordinates shown in the graph.
To uniquely identify points on a plane, use ordered pairs and the rectangular coordinate system (x,y). Pairs that are ordered show position in relation to the origin.
The x-coordinate shows the left and right sides of the origin. Y-coordinate positions are above or below the origin.
Thus, if a rectangle has vertices (0,0), (2k,0), and (0,k) the fourth vertex will be (4,8).
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ5
pls help me classify each of this?!
First image -Right triangle(One angle is 90 degrees)
Second image-Isosceles triangle(Two equal sides and two equal angles).
Given the following segment lengths find a length of the segment
The length of the line segment AB is 11/2 mm.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know a line segment parallel to one side of a triangle divides the other two sides in the same ratio.
Therefore, AC/AB = EC/ED.
22/AB = 44/11.
2/AB = 4/11.
4AB = 22.
AB = 11/2.
learn more about triangles here :
https://brainly.com/question/14653505
#SPJ1
What is the simplified form of
\( \frac{x + 6}{3} - \frac{x + 2}{3} \)
Answer:
4/3
Step-by-step explanation:
x + 6 - (x + 2) / 3
= x - x + 6 - 2 / 3
= 4/3
Find the area of the circle. Use \(3.14\) or \(\frac{22}{7}\) for \(\pi\) . Round your answer to the nearest hundredth, if necessary.
Answer:
50.24
Step-by-step explanation:
area of circle = πr²
where r = radius
given radius = 4
so area = (3.14)(4)²
==> evaluate exponent
area = (3.14)(16)
==> multiply 3.14 and 16
area = 50.24
It cost $110 to plant watermelons on an acre of farmland. How much would it cost to only plant 2/3 of the acre?
No solve this you have to multiply the cost per acre by the total are you want to plant:
\(110\cdot\frac{2}{3}=73.3\)It'll cost $73.3 to plant 2/3 of the acre.
which equation correctly represents the line graph below?
Answer:
y = 1/2x + 12
Step-by-step explanation:
The y intercept is 12, and the slope is 1/2
A cone has a height of 15 meters and a radius of 13 meters. What is its volume?
Answer:
V≈2654.65m³
Step-by-step explanation:
Answer:
Volume (V) = 2,654.645792
Step-by-step explanation:
Hope that helps and please give me brainliest!!
Which statement about conduction is true?
1.Conduction uses electromagnetic waves.
2.Conduction transfers energy from one particle to another.
3.Conduction produces currents in a heated pot of water.
Answer:
statement 2, conduction is the transfer of heat through direct contact
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
option C.
Which ordered pair can be plotted together?The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;
The four points include;
A = (1, 2)
B = (2, - 3)
C = (-2, - 2)
D = (-3, 1)
The ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;
(2, - 1)
Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
Learn more about ordered pairs here: https://brainly.com/question/30467126
#SPJ1
. Importance of hydrologic cycle The role of water is central to most natural processes - Transport - Weathering, contaminant transport - Energy balance - transport of heat, high heat capacity - Greenhouse gas - 80% of the atmospheric greenhouse effect is caused by water vapor - Life - for most terrestrial life forms, water determines where they may live; man is exception
The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.
The importance of the hydrologic cycle can be understood by considering its various functions:
Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.
Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.
Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.
Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.
Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.
It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.
To know more about hydrologic cycle click here:
https://brainly.com/question/13729546
#SPJ4
f(x) = 3x
reflected over y-axis
Answer:
g(x)=-3x
Step-by-step explanation:
Reflecting any equation over the y-axis will make it negative, hence 3x->-3x
Ms. Webb bought 3 sparkly markers that are $1.20 each and 4 glitter glue sticks that are $1.05 each. These were on sale for 25% off. What is the discount amount?
Answer:
5.85 is the total after the discount. The amount taken off is 1.95.
Step-by-step explanation:
P = e f e = 4.8 correct to 2 significant figures. f = 0.26 correct to 2 significant figures. Work out the lower bound for the value of P . Give your answer correct to 3 significant figures. (2 marks)
Answer:
Step-by-step explanation:
P = efe =4.8
f =0.26
substitute the value of P and f into the equation to obtain the value of e
4.8 = e*0.26*e
4.8 = 0.26*e^2
make e^2 the subject of the formula
e^2 =4.8/0.26 =18.62
find the square root of e
e =\(\sqrt{x} 18.46\\\)
e = 4.3
Lower bound of P = 4.8 - 4.79 = 0.01
A flagpole casts a 12ft long shadow and the sun is currently at an angle of elevation of 53°. How tall is the flagpole?
Find the component form of the vector that translates A(-4,8) to A'(7,-9)
The component form of the vector that translates A to A' is (11, -17)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
In translation, the shape of the figure does not change but its size may change.
Other transformation processes are reflection and rotation.
The component form of the vector is governed by the rule; A' - A
so we subtract corresponding x- coordinates and corresponding y- coordinates
A' - A = (7, -9) - (-4, 8)
= ( 7 - - 4, -9 - 8)
-= ( 11, -17)
In conclusion, the vector that translates A to A' is ( 11, -17 )
Learn more about translation: https://brainly.com/question/12861087
#SPJ1
Which choice is equivalent to the expression shown?
2(x+4)6 + 13
Question options:
A. x3+33
B. 2x9+59
C. 2x9+99
D. x3+53
Answer:
b
Step-by-step explanation:
15 + ax/5=10 solve for x
Answer:
25/4
Step-by-step explanation:
I just did it and got It right on M period
The value of x = -25/ a
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
WE have been given an equation 15 + ax/5=10. we need to solve for x
15 + ax/5=10
Subtract 10 from, both side then
15 - 10+ ax/5=10 -10
15 - 10+ ax/5= 0
5 + ax/5= 0
Now subtract ax/5 on both side we get
5 = -ax/5
Cross multiplication;
25 = -ax
Therefore, the value of x = -25/ a
Learn more about solving equations here:
https://brainly.com/question/13072448
#SPJ2
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
When three times a number is subtracted from 20, the result is 4 plus the number. What is the number? equation. 20 - 3n= 4 +n (Type an integer or a decimal.) Next, solve the equation. Begin by isolating the constants on one side of the equation and the variables on the other. To move the variables to the right side of the equation, add 3n to both sides. 20-3n = 4+n
Answer:
4+n×36-8/8(6+6)=N thats how yiu do it
y=10x y=-3x+39 what is x and y
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
O 2.95x+ 39.95
O 39.95x+ 2.95
O 2.95x-39.95(12)
O 295x+39.95(12)
Answer: 2.95x+39.95(12)
Step-by-step explanation:
Hi, to answer this question we have t write an expression with the information given:
The yearly cost for x movie rentals is equal to : the product of the cost of each movie (2.95) and the number of movies (x) ;plus the product of the monthly fee (39.95) and the number of months in a year (12)
Mathematically speaking:
2.95x+39.95(12)
Answer:
D-295x+39.95(12)
Step-by-step explanation:
EDG2021
collect like terms to simplify 3x²+7x+8²-2x
Answer:
14x + 64
Step-by-step explanation:
3X x 3X + 7X + 64 - 2X =
9X + 7X + 64 - 2X =
16X + 64 - 2X =
14 X + 64
Hope that helps!