Answer:
x = -2 and y = 4
Step-by-step explanation:
We have given a system of equations
2x + 4y =12 ...........(1)
and
x + y = 2 .............(2)
Now to plot them in graph we need to find the points of the above linear equations .
From equation 1 ,we get
4y=12-2x
[tex]y=\frac{12-2x}{4} \\y=3-\frac{x}{2} \\[/tex]
Put x=0, then
[tex]y=3-\frac{0}{2} =3\\[/tex]
Put x=6
[tex]y=3-\frac{6}{2}=3-3=0[/tex]
So get the points (0,3) and (6,0).
From equation 2 ,we get
y=2-x
put x=0
y=2-0=2
put x=2
y=2-2=0
So we get the points (0,2) and (2,0).
So after plotting these points we get two lines intersecting at (-2,4).
Therefore our solution is x=-2 and y= 4.
Solve for x
And show work
Answer:
x = -8
Step-by-step explanation:
1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.
2. Given the above information, that means x + 96 + 100 + x = 180.
3. (Solving for equation above)
Step 1: Simplify both sides of the equation.
[tex](x+x) + (96+100)=180[/tex] [tex]2x + 196 = 180[/tex]Step 2: Subtract 196 from both sides.
[tex]2x + 196 - 196 = 180 - 196[/tex] [tex]2x = -16[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-16}{2}[/tex] [tex]x = -8[/tex]Step 4: Check if solution is correct.
[tex]-8 + 96 + 100 - 8 = 180[/tex] [tex]88 + 100 - 8 = 180[/tex] [tex]188-8=180[/tex] [tex]180=180[/tex]Therefore, x = -8.
Answer:
x = - 8
Step-by-step explanation:
x + 96 and 100 + x are adjacent angles on a straight line and sum to 180°, so
x + 96 + 100 + x = 180 , that is
2x + 196 = 180 ( subtract 196 from both sides )
2x = - 16 ( divide both sides by 2 )
x = - 8
Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes
across several waves. For this exercise, think of the windsurfer's wake as a line. If m Z1 = (3x + 5y)° and
m 22 = (3x + y)º, find x and y.
X=
and y =
Answer:
Step-by-step explanation:
here you go
7x^3+5x^2-2 when x=-1
Answer:
7(-1)^3+5(-1)^2-2 = -4
What is slope intercept from the line that passes through the points (-3,,-1) and (2,9)?
Step-by-step explanation:
What is the slope of the line that passes through the two points? (-3, 2) and (-1, 9)
1.
A line passes through the points (–3, 1) and (–1, 9).
A.
-4
B.
-1/4
C.
4
D.
1/4
An equilateral triangle has sides of length 16.1 cm, correct to the nearest millimetre.
Find the lower and upper bounds of the perimeter of the triangle.
Answer:
48.3 cm is the lower and upper bound of the perimeter.
Step-by-step explanation:
For any equilateral triangle, by definition, the
lengths of the sides of the triangle are the same.
Thus, the perimeter of the triangle is 16.1 + 16.1 + 16.1 = 3(16.1) = 48.3 cm.
Thus, the upper and lower bounds are the same and are both equal to
48.3 cm.
Pls help me with this question thank you!!!
A skating rink charges a group rate of $10 to reserve a booth, plus a fee to rent each pair of skates. A family rents 6 pairs of skates and pays a total $76.
Gary is making a casserole but only needs 1/3 of the original serving size. If the number of servings Gary needs is 4, how many servings did the original recipe make?
What equation will model the situation?
How many servings did the original recipe make?
Answer:
What equation will model the situation?
✔ x/3 = 4
How many servings did the original recipe make?
✔ 12
Step-by-step explanation:
Hope this helps!
The equation that represents the situation is x/3 = 4. And the number of servings that the original recipe makes will be 12.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Gary is making a dish yet they just necessities 1/3 of the first serving size. In the event that the quantity of servings Gary needs is 4.
Let 'x' be the number of servings. Then the equation is given as,
x/3 = 4
Simplify the equation, then we have
x / 3 = 4
x = 12
The condition that addresses what is happening is x/3 = 4. What's more, the number of servings that the first recipe causes will be 12.
More about the Algebra link is given below.
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Please help Kfjfhtrbvfbfnfifk
Answer:
8100ft
Step-by-step explanation:
if the lengths were even, you would multiply 90 by 90 to get a area of 8100ft. Plus, if you tilt the diamond, the shape is technically a square. to find a area of a square multiply: Length * Width.
What operation should be done first to solve 6x + 5 = 35?
1.) Multiply by 6
2.) Divide by 6
3.) Add 5
4.)Subtract 5
Answer:
option 4
Step-by-step explanation:
6x + 5 = 35 ( subtract 5 from both sides ) ← first step
6x = 30 ( divide both sides by 6 ) ← second step
x = 5
guys pls help me!!!!!!!
x right? the answer is 54 degrees
which is an equation of the line through (2,-1) and (0,5)
Answer:
[tex]y = mx + c \\ - 1 =2 m + c...(1) \\ 5 = (0)m + c \\ c = 5...(2) \: sub \: in \: (1) \\ - 1 = 2m + 5 \\ m = - 3 \\ y = - 3x + 5[/tex]
Mrs. Taylor put $3,550 into a savings account . The account pays 2.5 % simple interest each year . If she neither adds nor withdraws money from the account , how much interest will she ears after 2 years
Answer:
The answer is$179.72
Step-by-step explanation:
[tex]3500 \times {1.025 }^{2} = 3729.71875[/tex]
[tex]3729.72 - 3550 = 179.72[/tex]
which of the following does not correctly refer to the slope of a line?
a. m = x2-x1/y2-y1
b. it represents the steepness of a line
c. m = rise/run
d. it is the ratio of the vertical change to the horizontal change
Answer:
D
Step-by-step explanation:
d is incorrect because it's saying the vertical (x) is over the horizontal change (y) and we know that's wrong because it's y/x or rise/run
The option that does not correctly refer to the slope of a line is:
a. m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex]
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
We have,
The slope of a line:
a.
m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex]
The slope formula is:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
So,
m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex] is not correct.
b. it represents the steepness of a line.
The slope of a line is the steepness of the given line on the graph.
It is correct.
c. m = rise/run
The slope can also be termed as rise/run.
It is correct.
d. it is the ratio of the vertical change to the horizontal change
The slope of a line is given as:
m = Vertical change / Horizontal change
It is correct.
Thus,
The option that does not correctly refer to the slope of a line is:
a. m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex]
Option A is the correct answer.
Learn more about equation of a line here:
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What is the length of each side of a cube whose volume is 8 units?
Answer:
2
Step-by-step explanation:
A cube as four sides. So we divide 8 by 4. What does that give us? Exactly! 2. Hop this helps!!
Given :-
Volume of cube is 8 u³.To Find :-
The length of each side .Answer :-
As we know that ,
Volume of cube = side³So that ,
a³ = 8 a =³√8 a = ³√2³a = 2uHence the side of the cube is 2 units.
A factory has 203 workers. There are 70 more males than females. Let x represent the number of males and let y represent the number of females. Which system of equations represents this situation?
Equation:
X+Y=203
X=70
Answer:
x - y = 70 and x + y = 203 are the required system of equations represents this situation.
Step-by-step explanation:
Given that factory has 203 workers
Let "x" represent the number of males and let "y" represent the number of females
There are 70 more males than females. Which means,
Number of males = 70 + number of females
x = 70 + y
On rearranging we get,
x - y = 70 ----> equation 1
It is given that factory has 203 workers, which means number of males and females is equal to 203
Number of males + number of females = total workers
x + y = 70 ---- equation 2
So equation 1 and equation 2 represents the system of equations for this situation
x - y = 70 and x + y = 203 are the required system of equations
Chris and his crew can build 7 stone fireplaces in 3 days. At this rate,how many fireplaces can Chris and his crew build in 11 days? Round to the nearest stone fireplace.
please answer asap, I will mark brainiest.
Thank you!
Answer: It should be 26, thank you
Step-by-step explanation:
Expand and simplify (3a + 4)(3a + 4).
these are the answer options.
3a^2 + 16
9a^2 + 16
9a^2 + 12a + 8
9a^2 + 24a + 16
Answer:
9 a²+24a+16
Step-by-step explanation:
hope it's helpful to you ☺️
9a^2 + 24a + 16
Step-by-step explanation:
..........
how do i work out -2=6+a/5
Answer:
a = -40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]-2 = 6 + \frac{a}{5}[/tex] [tex]-2 = 6 + \frac{1}{5}a[/tex] [tex]-2 = \frac{1}{5}a + 6[/tex] [tex]\frac{1}{5}a + 6 = -2[/tex]Step 2: Subtract 6 from both sides.
[tex]\frac{1}{5}a + 6 - 6 = -2 -6[/tex] [tex]\frac{1}{5}a = -8[/tex]Step 3: Multiply both sides by 5.
[tex]\frac{1}{5}a * 5 = -8 * 5[/tex] [tex]a = -40[/tex]Therefore, a = -40. I hope this helped you!
Answer:
-40 = a
Step-by-step explanation:
-2=6+a/5
Subtract 6 from both sides of the equation-8 = a/5
Multiply both sides by 5(5)-8 = a/5(5)
-40 = a
How do you solve for (w-2)²-63=0 where w is a real number
Zoe needs to rent a car. Kara's Kar Kompany charges $22 per day and a $100 cleaning fee. Callie's Car Company charges $26 per day and has a $40 cleaning fee. After how many days would the rental cost be the same for both car rental companies
Answer:
15 days
Step-by-step explanation:
Step 1 - Put in equation form:
22d + 100 = t
26d + 40 = t
Step 2 - Simplify equations:
22d + 100 = 26d + 40
100 - 40 = 26d - 22d
60 = 4d
d = 60/4
d = 15
Hope this helps!
Which equation best represents the relationship between x and y.
Answer:
b
Step-by-step explanation:
May I please receive help
Find the perimeter of this semi-circle with diameter, d = 65cm. Give your answer rounded to 1 DP.
Answer:
1658.3
Step-by-step explanation:
the perimeter of a semi - circle is simply half the circumference of a circle.
that is ;
1 / 2 ( pi ( r² ) )
where;
pi = 3.14 ( this is a constant that should be known and also equals 22 / 7 )
r = radius ( or half a diameter )
in our question, we are given a diameter with no radius
this means that we will have to halve the diameter to give us our radius
that is;
d = 65cm
r = 65 / 2
r = 32.5
so, using our formula;
1 / 2 ( 3.14 ( 32.5² ) )
1 / 2 ( 3.14 ( 1056.26 ) )
1 / 2 ( 3316.65 )
1658.3125
rounded to 1 DP;
1658.3
please help me with explanation
Answer:
Step-by-step explanation:
Basically for questions like these, you have to make the denominator a whole number with no surds, so you multiply it by the same numbers but change the sign. Whatever you do at the bottom you have to do at the top so
[tex]\frac{3(\sqrt{5}-\sqrt{2}) }{\sqrt{5} +\sqrt{2} (\sqrt{5}-\sqrt{2} )}[/tex]
and then you expand
Step-by-step explanation:
3/(√5+√2) = 3/(√5+√2) × (√5-√2)/(√5-√2)
= 3(√5-√2)/5-2 = 3(√5-√2)/3 = √5-√2 answer:-
hope this helps you.
CAN YALL HELP ME IM NOT SURE PLEASE
Answer:
10^2
Step-by-step explanation:
when bases are same and exponents are in division we subtract the exponents.
so 10^6-4 = 10^2
Answer:
10^2
Step-by-step explanation:
10^6 / 10^4 =
10 x 10 x 10 x 10 x 10 x 10 <------- 6 times 10
------------------------------------
10 x 10 x 10 x 10 <--------- 4 times 10
Simplify and you get
10 x 10 = 10^2
HELP!!!
Only question 16
Answer:
Cost is $255
Step-by-step explanation:
Cost = 150 + 15d ( d = day(s) )
Cost = 150 + 15(7) ( d becomes 7 because the boat is rented for 7 days )
Cost = 150 + 105
Cost = 255
Hopefully this helped!
Brainiest please?
Answer:
The cost of Juan's rent of the boat in 7 days is 255
Step-by-step explanation:
Cost = 150 + 15d
--
==>> D = days
--
Cost = 150 + 15(7)
--
150 + 105 = Cost
--
255 = Cost
FINAL
After a rainy spring, beavers build a dam that stretches 235 feet across and is 3 feet tall. around the bend, the river is narrower, so a second beaver dam spans 115 feet across. if the proportions of the two dams are the same, how tall is the second dam?
Answer:
well,
Step-by-step explanation:
as you see.....uhhh.....hmmmm.....if you first a _________________________________
The function h is defined by h(m)=m^2−3m .
What is the value of h(9) ?
Answer:
h(9) =54 is did it on the test
Hannah has 126 coins. Some quarters and some are dimes. The total value of the coins is $16.50. How many of each coin does Hannah have
Answer:
Step-by-step explanation:
126 coins
Quarters(25) - Dimes(10)
Has $16.50
Q+D=126
Q*0.25+d*0.10=126
Srry for not answering since the rules say not to give answers away just to help understand more but if you need more help feel free to ask.