Answer:
[tex](a)\ x = 3y - 2[/tex]
[tex](b)\ y = -3x - 2[/tex]
[tex](e)\ 3y - x = -2[/tex]
Step-by-step explanation:
Given
[tex]y =3x -2[/tex]
Required
Equations that can create consistent and independent systems
For a pair of equation to have consistent and independent systems, the equations must have different slopes.
An equation of the form [tex]y = mx + c[/tex] has m has its slope.
In [tex]y =3x -2[/tex]
[tex]m = 3[/tex] --- slope
Considering the options
[tex](a)\ x = 3y - 2[/tex]
Make y the subject
[tex]x = 3y - 2[/tex]
[tex]3y = x+2[/tex]
Divide by 3
[tex]y = \frac{1}{3}x+\frac{2}{3}[/tex]
The slope is:
[tex]m_1 = \frac{1}{3}[/tex]
Hence, (a) can make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](b)\ y = -3x - 2[/tex]
The slope is:
[tex]m= -3[/tex]
Hence, (b) can make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](c)\ y = 3x + 2[/tex]
The slope is:
[tex]m=3[/tex]
Hence, (c) cannot make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](d)\ 6x - 2y = 4[/tex]
Make y the subject
[tex]2y = 6x -4[/tex]
Divide by 2
[tex]y = 3x -2[/tex]
The slope is
[tex]m =3[/tex]
Hence, (d) cannot make a consistent and independent system with [tex]y =3x -2[/tex]
[tex](e)\ 3y - x = -2[/tex]
Make y the subject
[tex]3y = x -2[/tex]
Divide by 3
[tex]y = \frac{1}{3}x -\frac{2}{3}[/tex]
The slope is:
[tex]m = \frac{1}{3}[/tex]
Hence, (e) can make a consistent and independent system with [tex]y =3x -2[/tex]
10th Grade Mathematics Assessment SU
Question 3
A family wants to purchase a new refrigerator, but they need to determine the volume before they buy it. What is volume of the refrigerator?
4 ft
3 ft
1
2 ft
4 ft
A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.
a.150%
b.50%
c.100%
d.15%
Answer:
c. 100%
Step-by-step explanation:
profit or loss = (sale price - purchase price)/(purchase price) * 100%
profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%
profit or loss = (Rs. 150)/(Rs. 150) * 100%
profit or loss = 1 * 100% = 100%
Since the result is positive it is a profit.
Answer: The profit was 100%.
Please helpppppp 7th grade mathhh
Answer:
10 quarts
thank you
i think
Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.
Answer:
30/5=6
Step-by-step explanation:
There’s 30 fish put into five bowls, and there’s six fish in each
an article which cost money 150 was sold at a loss of 5%.what was the selling price?
Answer:
142.5
Step-by-step explanation:
150/x=100/95
95*150/100=
142.5
Can someone help plz
Answer:
Sr i dont know
Step-by-step explanation:
WILL GIVE BRAINLIST
WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”
THE PRODUCT OF 4 AND A NUMBER
Answer:
x+14.
Sum of a number and 14 is x+14.
Patricia y Armando tienen $220 entre los dos. Patricia le da a Armando $30 de tal forma que ambos tendrán la misma cantidad de dinero. ¿CUANTO DINERO TIENE CADA UNO?
Answer:
Patricia's amount of money = $125
Armando's amount of money = $95
Step-by-step explanation:
Given:
Total amount of money = $220
Patricia have $30 more than Armando
Find:
Amount of money each have.
Computation:
Assume;
Patricia's amount of money = a
So,
Armando's amount of money = a - 30
So,
a + a - 30 = 220
2a - 30 = 220
2a = 250
a = 125
Patricia's amount of money = $125
Armando's amount of money = 125 - 30
Armando's amount of money = $95
pls help me ill give brainliest and no links pls ty!:)
Given : GH bisects ∠FGI
It means : ∠FGH and ∠HGI are equal
Given :
∠FGH = (5x - 8)°
∠HGI = (6x - 15)°
⇒ 5x - 8 = 6x - 15
⇒ 6x - 5x = 15 - 8
⇒ x = 7°
Substituting the value of x, We get :
∠FGH = 5(7) - 8 = (35 - 8) = 27°
∠HGI = 6(7) - 15 = (42 - 15) = 27°
∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°
A triangle has base 8 3/8 feet and height 6 3/4 feet. Find the area of the triangle as a mixed number.
Answer:
First you convert the mixed numbers into improper fraction
[tex]8\frac{3}{8} = \frac{67}{8} \\\\6 \frac{3}{4} = \frac{27}{4}[/tex]
Solution
[tex]A=\frac{\frac{27}{4} + \frac{67}{8} }{2}[/tex]
[tex]A=\frac{\frac{54 + 67}{8} }{2}[/tex]
[tex]A\frac{\frac{121}{8} }{2}[/tex]
[tex]A=\frac{121}{8}[/tex] * [tex]\frac{1}{2}[/tex]
[tex]A= \frac{121}{16}[/tex]
[tex]A= 7 \frac{9}{16}[/tex]
Step-by-step explanation:
How do I do this trigonometry problem? or where do I even start.
Answer:
∅=6
Step-by-step explanation:
let ∅=x
[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]
the slope of the line that passes through the points in the table is:
Answer:
-2/7
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
m = (8-0)/(-14-14)
= 8/-28
= -2/7
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Step-by-step explanation:
the equation is
c =>
4.50 + 1.70 w = 16
PLEASE HELP
IM BEGGING PLEASE
Lake Pyramid, Nevada is one of the best places in the connected 48 states to
catch trophy cutthroat trout. History shows that about 37% of guest catch a
cutthroat. Let X be a random variable that represents the first trip to Lake
Pyramid on which a guest catches a cutthroat. Let X be a random variable that
represents the first trip to Lake Pyramid on which a guest catches a cutthroat.
Find the probability that it takes the fisher no more than 4 trips to catch a
cutthroat. . *
If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.
So, what are the chances of it not occurring in 1 trip?
1−.37=.63
What about not occurring in 2 trips?
(1−.37)⋅(1−.37)=.63⋅.63=.3969
Now what about not occurring in 4 trips?
.63^4 = 0.15752961
We must subtract this value from 1
(recall that what we just calculated is the probability of it not occurring, so the probability of it occurring at least once is:
1−0.15752961 = .84247039
TLDR - In 4 trips the chance of a guest catching a cutthroat once in under 4 trips in 0.84.
Ive friends each knit one part of a scarf that is 1 5 12 yards long. Which shows the fractions of the scarf each friend could have knit? A. 1 12 + 2 12 + 3 12 + 8 12 + 4 12 B. 1 12 + 6 12 + 3 12 + 2 12 + 4 12 C. 2 12 + 3 12 + 3 12 + 2 12 + 5 12 D. 5 12 + 1 12 + 4 12 + 2 12 + 5 12
Answer:
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Step-by-step explanation:
Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.
Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options
A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 18/12 = 1 6/12 = 1 1/2
Option A is wrong
B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 16/12 = 1 4/12 = 1 1/3
Option B is wrong
C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12
Lowest Common Denominator = 12
Hence = 15/12 = 1 3/12 = 1 1/4
Option C is wrong
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Lowest Common Denominator = 12
Hence = 17/12 = 1 5/12
Option D is correct
Therefore, the fractions of the scarf each friend could have knit is Option D
In a flight of 600km,an aircraft was alowed down due to bad weather. Its average speed for the trip reduced to 200km/hr and the time increased by 30 minutes. Find the duration of the flight.
Answer:
The duration of the flight is 1 hour
Step-by-step explanation:
Since average speed = distance traveled / time
Let the duration of the flight be in z hours
So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr
Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.
200 = (600/z ) - (600/z + (1/2))
Multiply 2 through on (600/z + (1/2))
200 = (600/z ) - (1200 / (2z + 1))
Divide through by 200
= z(2z + 1) = 3
convert to quadratic equation
2z² + z = 3
2z² + z - 3 = 0
(2z + 3) ( z-1) = 0
z-1 = 0
z = 1 hour
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
Which expression entered into a graphing calculator will return the probability
that at most 10 heads come up when flipping a coin 25 times?
A. binomcdf(25, 10,0.5)
B. binomcdf(10, 0.5, 25)
C. binomcdf(25, 0.5, 10)
D. binomcdf(10,25, 0.5)
SUBMIT
Calculate the length of side WX:
Answer:
WX = 38
Step-by-step explanation:
To get this, we are gong to use the cosine rule
We have the general form as;
a^2 = b^2 + c^2 - 2bc Cos A
Let WX be a
a^2 = 17^2 + 26^2 -2(17)(26) cos 123
a^2 = 1446.46
a = √1446.46
a = 38.03
Please help !!!!!!!!
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.
Question in the picture ^
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft
Answer:
18 ft
Step-by-step explanation:
Similar triangles are proportional
Ratio of vertical legs = Ratio of base legs
x/6 = 12/4
multiply both sides by
x = 12/4 * 6
x = 18 ft
Please give me the answer and tell me how you solved it
Answer:
6x-3
Step-by-step explanation:
that is the procedure above
Step-by-step explanation:
5+4X+2x-8
=6x-3
answer is third option
A ... has one triangular base and three triangular lateral faces.
Rectangular Prism
Square Pyramid
Triangular Pyramid
Triangular Prism
Answer quick Please!
Hope this help!!!
Have a nice day!!!
Answer:
that gy is rong dount do it
Step-by-step explanation:
6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:
PLEASE SOMEONE HELP IM IN NEED
Answer:
he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.
*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
The expression 2 - x-1/x+2
is equivalent to
A. 1 - 3/x+2
B. 1 + 3/x+2
C. 1 - 1/x+2
D. 1 + 1/x+2
The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
We have to find, which equation is equivalent to the given expression.
The given expression is,
[tex]= 2- \dfrac{x-1}{x+2}[/tex]
To determine the equivalent expression following all the steps given below.
Step1; Taking LCM in the equation,[tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]
Step2; Solving the equation,[tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]
Step3; rewrite the equation in the small factors,[tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]
Step4; By using partial fraction rewrite the equation,[tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]
Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
For more details refer to the link given below.
https://brainly.com/question/2264568
PLEASE HELP ATTACHED BELOW
Answer:
[tex]Area~of~quarter:-[/tex]
[tex]\frac{\pi r^2}{4}[/tex][tex]=\frac{\pi *8*8}{4}[/tex]
[tex]=16\pi[/tex]
--------------------hope it helps...have a great day!!can someone help me please with solution
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Answer:
4 miles apart. the answer this question.
