Answer:
y = - [tex]\frac{2}{3}[/tex] x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 24 ( subtract 2x from both sides )
3y = - 2x + 24 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 8 ← in slope- intercept form
The equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]
From the question,
We are to write the given equation in the slope-intercept form
The slope-intercept form of an equation of straight line is written as
y = mx +c
To write the equation, 2x+3y=24, in the slope-intercept form, we will make y the subject of the equation
[tex]2x+3y=24[/tex]
First, subtract 2x from both sides of the equation
That is,
[tex]2x -2x +3y = 24 -2x[/tex]
This becomes
[tex]3y = 24 -2x[/tex]
Now, divide both sides by 3
[tex]\frac{3y}{3} =\frac{24-2x}{3}[/tex]
∴ [tex]y = \frac{24}{3}-\frac{2x}{3}[/tex]
[tex]y = 8-\frac{2}{3}x[/tex]
In the slope-intercept form, we get
[tex]y = -\frac{2}{3}x+8[/tex]
Hence, the equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]
Learn more here: https://brainly.com/question/20076300
Given triangle ABC in which angle B = 47 degrees, angle C = 65 degrees and c = 12.4cm, determine the length of b.
Answer:
Step-by-step explanation:
Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group. Her tips averaged 18% of the total amount spent by all the groups of customers that day. What were Brianna's tip income earnings that day?
Given :
Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.
Her tips averaged 18% of the total amount spent by all the groups of customers that day.
To Find :
Brianna's tip income earnings on Friday.
Solution :
Total amount of money spent by 12 groups :
P = $ 12×186 = $2232 .
She got tip of 18% of the total amount spent by all the groups of customers.
[tex]T = P\times \dfrac{20}{100}\\\\T= 2232\times \dfrac{20}{100}\\\\T=\$446.4[/tex]
Brianna's tip income earnings on Friday is $446.4 .
Hence, this is the required solution.
-1/3(5x+12)-3
show work.
Answer:
-5/3x-7
Step-by-step explanation:
I will say -5/3x-4
i totally forgot the -3
my bad but -3 with -4 and it would be -7
my 2nd guess is -5/3x-7
In the given figure, x = 30°. What's the property of parallel lines used to find x?
James has 16 baloons 1/4 of his balloons are red how many balloons deos he have
Answer:
16 balloons
But if your asking how many red balloons, then the answer is 4
Step-by-step explanation:
16 balloons because you asked how many balloons does he have
Elin’s old fish tank is leaking. Diagram not drawn to scale This old fish tank is in the shape of a cuboid. The base of this tank measures 60cm by 40cm. Before the leak, the height of the water level in Elin’s old fish tank was 45cm. Elin decides to replace her fish tank with a cylindrical one. 70 cm Diagram not drawn to scale 25 cm She selects a new cylindrical fish tank that has a radius of 25cm and a height of 70cm. Will all the original contents, including the water and the fish, fit into this cylindrical tank? You must show all your working.
Step-by-step explanation:
nnsndnxnxndjenendjdnrjr
(6 +4) x 8 =
find the answer
A garden table and a bench cost $659 combined. The garden costs $91 less than the bench. What is the cost of the bench?
What are the four main types of graphs and when would they be most appropriate to use?
Answer:
The four main types of graphs are line graphs, bar charts, pie charts, and histograms. They all can be used for many things
help please
i don't understand
Answer:
I believe it has 9 edges, comment if u need me to explain more
Answer:
6
Hope it helps!
1) Find AB
round answer to the nearest tenth
Answer: 23.6
Step-by-step explanation:
3. 40% of x is 35. Write an equation. Then use your equation to find x.
Answer: x = 87.5
................
Answer:
87.5
Step-by-step explanation:
40% of x = 35 , that is
[tex]\frac{40}{100}[/tex] x = 35
0.4x = 35 ( divide both sides by 0.4 )
x = [tex]\frac{35}{0.4}[/tex] = 87.5
ite and Identity Statistical tions Select from the drop-down menu to create a statistical question Dan could ask his friends in a survey.
What is Choose... Choose George's favorite food?
the color of a lemon?
the capital of Spain?
your favorite food?
What is your favorite food is the most appropriate statistical question.
What is a statistical question?This refers to a question that leads to different answers. These answers can be collected and analyzed based on statistics to determine the preferences or habits of people.
What is the ideal statistical question?From the options, the best statistical question is: What is your favorite food?. The reasons are:
This question leads to different answers; on the opposite, questions such as "What is the capital of Spain" are likely to be answered in the same way.The answers can be collected and analyzed. For example, you can analyze how many people like hamburgers or how many people have the same favorite food.Learn more about statistical question in: https://brainly.com/question/21508412
Answer:
favorite food
Step-by-step explanation:
i took the k12 test
Use the algebra tiles to model x 2. Which statements are true? Select all that apply. The expression cannot be modeled. The variable is modeled by an orange x tile. The variable is modeled by an orange tile. 2 is modeled by 2 orange x tiles. 2 is modeled by 2 orange tiles.
The statements are true about the algebra tiles to model x + 2 are as follows;
The variable is modeled by an orange x tile.
+ 2 is modeled by 2 orange + tiles.
What are algerbra tiles?
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x + 2.
The statements are true about the algebra tiles to model x + 2 are as follows;
The variable is modeled by an orange x tile. + 2 is modeled by 2 orange + tiles.To know more about algerbra tiles click the link given below.
https://brainly.com/question/81876
Answer:
The variable is modeled by an orange x tile
+ 2 is modeled by 2 orange + tiles
Step-by-step explanation:
Edge 2022
What is the value of y?
A.
16
B.
48
C.
64
D.
132
Answer:
3x+3x+7x+20+7x+20=360
20x=360-20
20x=320
x=16
therefore x=16 so,
7x+20+y=180
but x=16
7(16)+20+y=180
y=180-132
y=48
If an object has two forces acting on it, and the object is moving with constant velocity, what can be said about these forces? Select all that apply. One of the forces is larger than the other.One of the forces is larger than the other. , , The forces have opposite directions.The forces have opposite directions. , , The forces have the same direction.The forces have the same direction. , , The forces have equal magnitudes.The forces have equal magnitudes. , ,
Answers:
The forces have opposite directions
The forces have equal magnitudes
=====================================================
Explanation:
Imagine a bucket of water being held up by a rope.
Gravity pulls down on the bucket with a constant force. The reason why the bucket doesn't fall to the ground is because the tension in the rope is holding it up.
More specifically, the force of the rope's tension is exactly matching the force of gravity. So we have equal magnitudes here. However, the force vectors point in complete opposite directions. Gravity points down and the tension of the rope points up. The two opposite directions cancel out to create balance and that's why the object doesn't move. It has velocity = 0 which is considered a constant velocity even though it's not something like 3 m/s.
If the forces acted in the same direction, then the magnitudes would add up to accelerate the object (either downward or upward). However, the bucket stays fixed in place, so it's clear that the vectors must be opposite in nature.
---------------
Now consider a skydiver. At some point of the descent, the skydiver will hit terminal velocity. This is the fastest s/he can fall because the force of gravity pulling down counterbalances perfectly with the upward force of wind/air resistance pushing upward. The air is resisting the downward motion being a form of friction. In this case, the magnitude of the gravitational force is the same as the magnitude of the upward air resistance.
Unlike the bucket of water, the skydiver is of course moving. They are moving at a constant velocity since they cannot accelerate any faster. Hence the name "terminal" meaning "the final or ending velocity". It is when the parachute is deployed that will apply a much greater upward force, which then slows down the downward velocity to allow the skydiver to safely land.
---------------
In both examples, we have a constant velocity happening when the vectors pull in equal amounts but in opposite directions. Think of it like a tug-of-war to keep everything balance. If there is an imbalance of any kind, then acceleration will happen.
LCD 7/8 and 1/4
Im stuck
help pls
Answer:
2
Step-by-step explanation:
It's the lowest common denominator si the answer is 2
Look at picture need help asap
Answer:
f^-1 = 3(x + 1)
Step-by-step explanation:
f(x) = (3 - x)/x
y = (3 - x)/x
x = (3 - y)/y
xy = 3 - y
xy + y = 3
y(x + 1) = 3
y = 3/(x + 1)
f^-1 = 3(x + 1)
25 POINTS!!! simplify A=(1/2)(5x-2y)(4x+3y) please help and do step by step
Answer:
A= 10x^2 + 7/ 2 xy − 3y^2
Step-by-step explanation:
( 1/ 2) (5x−2y))(4x+3y)
= ( 1/ 2(5x−2y)) (4x+3y)
= ( 1/ 2 (5x−2y)) (4x) + ( 1/ 2 (5x−2y)) (3y)
= 10x^2 − 4xy + 15/ 2 xy − 3y^2
= 10x^2 + 7/ 2 xy − 3y^2
WILL GIVE BRAINIEST
50 POINTS!!
i am timed
What is the scale factor of this dilation?
Answer:
The scale factor of this dilation is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The length of AC is 8, which is given. Since AC' is the dilated side that corresponds to AC, and the length is 4, that means the scale factor of dilation from ABC to AB'C' is [tex]\frac{4}{8}[/tex] or [tex]\frac{1}{2}[/tex].
yooooo can like someone please help me !
Answer:
Step-by-step explanation:(3,-1)
Answer:
(3,0) and (-1,0)
Step-by-step explanation:
just find the points on the graph
Which animal can run faster?
Answer:
i think A
Step-by-step explanation:
in 1990 there were about 5.4 billion people in the world. if the population has been growing at 1.95% per year, estimate the year when the population will be 8 billion people
Answer:
2011
Step-by-step explanation:
Here is the formula.
[tex]A=P(1+r)^{n}[/tex]
A = Final Value
P = Starting Value
R = Rate
N = Time in Years
A = 8,000,000,000
P = 5,400,000,000
R = 0.0195
N = Time in Years
Solve for n.
20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.
For each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
1. 5 and 17
2. -4 and 6
3. -0.5 and 0.5
Please hurry!!
Will award 30 points!!
Answer:
b) |y-11|=6
c) |z-1|=5
d) |a-0|=1/2
Step-by-step explanation:
This definetly works!
The absolute value equations are =
1) |x - 11| = 6
2) |x + 1| = 5
3) |x| = 0.5
1) To satisfy the solution set of 5 and 17 on a number line, we can write an absolute value equation as follows:
|x - 11| = 6
Explanation: The midpoint between 5 and 17 is 11, which serves as the value c in the equation.
The absolute value of x minus 11 should be equal to the distance between the midpoint and either endpoint, which is 6.
2) To satisfy the solution set of -4 and 6 on a number line, we can write an absolute value equation as follows:
|x + 1| = 5
Explanation: The midpoint between -4 and 6 is -1, which is the value c in the equation.
The absolute value of x plus 1 should be equal to the distance between the midpoint and either endpoint, which is 5.
3) To satisfy the solution set of -0.5 and 0.5 on a number line, we can write an absolute value equation as follows:
|x| = 0.5
Explanation: In this case, the midpoint between -0.5 and 0.5 is 0, which is the value c in the equation.
The absolute value of x should be equal to the distance between the midpoint and either endpoint, which is 0.5.
Learn more about number line, click;
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Understanding Exponents - Item 30692
Drag each expression to show if it is equivalent to 36,63,6 x 3, or none.
3 + 6
6 + 6 + 6
6 x 6 x 6
3 + 3 + 3 + 3 + 3 + 3
3 X 3 X 3
3 X 3 X 3 X 3 X 3 X 3
36
6
6 x 3
None
Answer:
none
Step-by-step explanation:
Which triangles are similar?
A. Triangles A and C
B. Triangles A, B, and C
C. Triangles B and C
D. Triangles A and B
Answer:
See below.
Step-by-step explanation:
They are all similar.
-hope it helps
What’s the scale factor?
what number produces an irrational number when added to 1/3
Please help, I will give brainliest if you are correct
Answer:
In 24 years there will be 140 foxes
Step-by-step explanation:
When a cannonball is fired, the equation of its pathway can be modeled by h=-16t2 +128t. Find the maximum night of the cannon ball
Answer:
256
Step-by-step explanation:
When the equation is graphed the highest point is (4,256). So 256 is the maximum height of the cannon ball.