Given:
The equation is:
[tex]3x-2y=18[/tex]
To find:
The slope intercept form of the given equation.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]3x-2y=18[/tex]
It is not in the slope intercept form.
We need to isolate variable y to get the slope intercept form.
The given equation can be rewritten as:
[tex]-2y=-3x+18[/tex]
[tex]y=\dfrac{-3x+18}{-2}[/tex]
[tex]y=\dfrac{-3x}{-2}+\dfrac{18}{-2}[/tex]
[tex]y=\dfrac{3}{2}x-9[/tex]
Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{3}{2}x-9[/tex].
Michael breeds chickens and ducks.
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.
How much does a chicken cost, and how much does a duck cost?
A chicken costs $_____ and a duck costs $_____.
Answer:
Chicken:$8 Ducks:$5
Step-by-step explanation:
Let's assume
Chickens= c
Ducks=d
50c + 30d = 550 (divide this by 10)--- 5c+3d=55
44c + 36d = 532 (divide this by 4)--- 11c+9d=133
Solving simultaneously:
5c + 3d = 55 (x9)
11c + 9d = 133 (x3)
45c + 27d = 495
33c + 27d = 399
By subtraction we get:
(45c-33c+27d-27d)= 96
12c = 96
Chicken = $ 8 (96/12)
Ducks: 50(8)+ 30d = 550
30d = 150
Ducks = $5 (150/30)
Jenny's recipe for pancakes requires 2 cups of milk. The recipe about 15 pancakes.
Answer:
A
Step-by-step explanation:
The table below shows the temperatures of 5 cities in Alaska on a day in January.
City Temperature
Anchorage 1
Fairbanks -3
Prudhoe Bay -15
Barrow -11
Juneau 17
What was the average (mean) temperature for these
plz explain
Answer:
9.4
Step-by-step explanation:
1+3+15+11+17=47
47/5=9.4
Answer:
i need answers
Step-by-step explanation:
Find the solution of the system of equations.
10x-2y=44
-2x-9y=10
Answer:
x = 4 y = -2
Step-by-step explanation:
10x - 2y = 44
-10x -45y = 50
-47y = 94
y = -2
-2x -9(-2) = 10
-2x + 18 = 10
-2x = -8
x = 4
4. What is the distance, in units, between the points (11, -7)
and (2, -7) on a coordinate plane?
M. 13
P. 9
R. 5
S. O
A garden center has 150 fruit trees to sell.
1/10 of the trees are lemon trees.
2/5 of the trees are orange trees.
1/3 of the trees are peach trees.
The rest are pear trees.
How many trees are pear trees?
Step-by-step explanation:
Take pear trees be X
1/10+2/5+1/3+x=150 (Take LCM of 10,5,3=30)
3/30+12/30+10/30+30x/30= 150
25/30+30x/30=150
25+x=150/30
X=5-25=-20 are pear trees
hope it helps
HELPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
The velocity-time graph of a vehicle is shown below. Determine the displacement of the vehicle between the interval t = 0 s to 2 s.
A) 5 m
B) 10 m
C) 15 m
D) 20 m
here the slope of the graph is straight, that means velocity is uniform
the correct answer is option B. 10m
How to Solve
x + 6y = 2
3x + 12y = 6
Answer:
x=40
y=− 17 /6
Step-by-step explanation:
Factorise fully 12x³ - 30x²
Answer:
6x² (2x - 5)
Step-by-step explanation:
12x³ - 30x²
= 6x² (2x - 5)
I'll mark you brainliest if you help me with my previous math questions.
Answer:
ok
Step-by-step explanation:
HELP PLEASE 15 POINTS
Find the equation to the line below.
Answer:
y=3/2x +2
Step-by-step explanation:
Rise/run + y-intercept
Answer:
y=3/2x+2
Step-by-step explanation:
By using slope intercept format, which is y=mx+b, you can get the answer.
If the nth term of a sequence is
4n + 3 what is the 6th term?
Answer:
27 is the answer to the question
Step-by-step explanation:
4(6)+3=24+3=27
HELP! Write an equation of a line that is parallel to y=-2x+3
Answer:
y = -2x
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = -2x + 3. Its slope is -2. A line parallel to this one will also have a slope of -2.
Plug this value (-2) into your standard point-slope equation of y = mx + b.
y = -2x + b
This question only asks for a line parallel to y = -2x + 3.
This means we can plug in any number (except 3) for b. We cannot plug in 3 because then it will be the same equation!
To make things simple, we can use 0 and therefore leave it out.
y = -2x
This line is parallel to y = -2x + 3.
Hope this helps!
Please help, Been stuck for 20 minutes on this problem.
The scale for a model is built to represent a real-life skyscraper. If a measurement of 4 cm on the model of the building is equivalent to 36 meters in real-life, what is the scale factor of the model?
LOOKS EASY !! NO FILES/LINKS THX
Answer:
16
Step-by-step explanation:
Comment if you want explanation
Answer: C. 16
Step-by-step explanation: multiply 12 and 16 to get 192. then subtract 192 to 6 to get 186.
Please help!!! I am being timed!!
Brainiest if corrected!!!
Answer:
D
Step-by-step explanation:
The starting number is 3
And they bring in 1 member each month
That can be shown with the last equation
Good luck!
please help asap:)))
Answer:
Step-by-step explanation:
Yes, We can find the cost of one admission to the water park,
We can form two linear equation with two variables and by solving the equation we can determine the cost of one admission.
Cost of 15 people's admission and 8 rental tube is $ 263.25
15x + 8y = 263.25 -------------(I)
Cost of 20 people's admission and 13 rental tubes is $ 358
20x + 13y = 358 ------------(II)
(I) * 13 195x + 104y = 3422.25
(II)*(-8) -160x - 104y = - 2864 {Now add and so y will be eliminated}
35x = 558.25
x = 558.25/35
x = 15.95
Cost of one admission = $ 15.95
X-20=62 please Help thanks
Answer:
x = 85
Step-by-step explanation:
x - 20 = 62
add the 20 on both sides x - 20 = 62
+20 +20
add 62+20 to get 85 x = 85
Solve each:
1.
2.
3.
Answer:
1. cube root of 8 = 2
2. square root of 16 is 4
3. cube root of (-8) is (-2)
Mia is trying to find the value of x in 3x = 21. Find the value of x.
Answer:
7
Step-by-step explanation:
3*7=21
Answer:
7
Step-by-step explanation:
if 3x=21 then you just have to divide 21 by 3 and the answer would be 7 because 3 times 7 equals 21
Find the slope and Y-intercept, then graph
X - 3y = 9
Answer:
y≈ 1/3x -3
y intercept (0,-3)
Step-by-step explanation:
You randomly choose a marble form a jar.The jar contains 4 red marbles , 10 blue marbles , 7 green marbles , and 6 yellow marbles.Find the probability of the event.
Choosing a green marble.
Write in plain language: d / 5 *
Answer:
d over 5 or d divided by five
or an unknown number over or divided by 5
Step-by-step explanation:
#11
Please help ASAP
Extra 500 points and brainliest
GIVING BRAINLIEST AND THE REST OF MY POINTS, PLS HELP!!!! :((
Answer:
The correct line plot is choice C.
Step-by-step explanation:
If you look at the data values, you'll notice that there are three [tex]11\frac{1}{4}[/tex], and the only line plot that depicts this is choice C, so that is the correct answer.
A right triangle has one leg with a length of 1 inch. In addition, the length of the hypotenuse is 1.5 times greater than the length of the other leg. Determine the measurements of the acute angles in the right triangle.
Answer:
25.5 inches is the correct answer
Please answer the question below fully will mark brainliest
Answer:
que es eso
Step-by-step explanation:
fuhwiheirj lo siento