Answer:
Step-by-step explanation:
12 marbles in total. The possibility of pulling out a red marble is going to be 7/12. Since you would then take the marble out, you'll have 11 marbles left. After that, it'll be 5/11.
The equation 3x – 2y = 18 is in slope intercept
form.
If the y variable was isolated, it would be in
1
form.
(Use all lowercase letters when writing the answers)
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].
Work out the value of 22 - 2y when
y = 10
10 X 2 = 20
22-20= 2
Answer = 2
Answer:
2
Step-by-step explanation:
22 - 2y
= 22 - 2 ( 10 )
= 22 - 20
= 2
MATHEMATICAL CONNECTIONS Find the dimensions of the polygon with the given area.
Area = 44 ft2
Answer:
Length = 11
Width = 4
Step-by-step explanation:
The value of dimension are;
Length of polygon is 11 ft.
Width of polygon is 4 ft.
Here,
Area of polygon = 44 ft^2
Length of polygon = ( x - 5 ) ft
Width of polygon = ( x - 12 ) ft
We have to find the dimension of polygon.
What is the polygon?
A two-dimensional geometric figure that has a finite number of sides, is called polygon.
Now,
Area of polygon = 44 ft^2
Length of polygon = ( x - 5 ) ft
Width of polygon = ( x - 12 ) ft
Since, Area of polygon = length x width
Hence,
[tex]44 = ( x - 5 ) ( x - 12 )\\\\44 = x^{2} -5x-12x+60\\\\x^{2} - 17x + 16 = 0[/tex]
After factorizing we get;
[tex]x^{2} - 16x - 1x + 16 = 0\\\\x ( x-16) -1 ( x - 16)= 0\\\\(x-1)(x-16)=0[/tex]
[tex]x = 1, x = 16[/tex]
Since, x = 1 is not possible because its gives the values of dimension in negative.
So, x = 16
Now,
Length of polygon = ( x - 5 ) ft = 16 - 5 = 11 ft
Width of polygon = ( x - 12 ) ft = 16 - 12 = 4 ft
Therefore, Length of polygon is 11 ft.
Width of polygon is 4 ft.
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Which equation represents the data in the table? d 1 2 3 4 5 t 9 13 17 21 25 t = 2d + 7 t = 5d + 3 t = 8d – 3 t = 4d + 5
Answer:
the last one is correct, the answer is t=4d+5
NO LINKS OR REPORT
Please help!
Find the area of the figure
Answer:
[tex]Aear=2450cm^{2}[/tex]
Step-by-step explanation:
The figure is made up of a rectangle, parallelogram, and square.
Area of the rectangle is 50(15)=750 cm²
Area of the parallelogram is 40 (40)=1600cm²
Area of the square is 10(10)=100 cm²
The total area is 750+1600+100= 2450 cm²
[tex]-------------------[/tex]
hope it helps..
have a great day!!!
Please answer correctly! I will mark you as Brainliest
Answer:
424.3m³
Step-by-step explanation:
I'm sorry, I don't have any proof because I used the go.ogle calculator, you're just gonna have to trust me on this one
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In a class of 32 students
the mean height of the 14 boys is 1.56 metres
the mean height of all 32 students is 1.515 metres.
Work out the mean height of the girls.
Please let me know the answer to this
y/8 = 5
what dose y = ?
BRAINLIEST plus 30 points IF NO LINKS!
PLZ HELP!
Answer:
3 is A 2 is 7 or around 32 and then 1 you gotta figure it out.
Step-by-step explanation:
This may not be correct but hopefully it is..
A sphere has a surface area of 803.84 cm^2. What is the volume?
Answer:
V≈2143.03cm³
Step-by-step explanation:
The volume of the sphere is 2143.57 cm³.
What is the surface area of the sphere?A = 4 × π × r², where 'r' is the radius of the sphere.
What is the volume of the sphere?V = (4/3) × π × r³
For given example,
a surface area of the sphere is 803.84 cm^2.
⇒ A = 803.84 cm²
Using the formula of the surface area of the sphere,
⇒ 4πr² = 803.84
⇒ r² = 64
⇒ r = 8 cm
Using the formula of the volume of the sphere,
⇒ V = (4/3) × π × r³
⇒ V = (4/3) × 3.14 × 8³
⇒ V = 2143.57 cm³
Therefore, the volume of the sphere is 2143.57 cm³.
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Geometry help please. Complete the similarity statement, in the box below, of these two triangles.
Answer:
ΔIJK ≈ ΔXVW
Step-by-step explanation:
Given that ac=22 and bc=7, find ab
Answer:
I'll look into that answer
is x the slope , and what is y
Answer:
wheres the picture?
Step-by-step explanation:
Answer:
y intercept
Step-by-step explanation:
the point where the graph crosses the y -axis
Pls help. Due in 5 mintues pls.
The midpoint of AB is M(-6, 1). If the coordinates of A are (-7, -3) what are the coordinates of B?
Answer:
Step-by-step explanation:
Check if (1,6) is the solution to the system shown below.
Answer:
NO it is not
Step-by-step explanation:
To check that, we will need to substitute the value of each of the coordinates in each of the equations
10x-y = -6
substitute 1 for x and 6 for y
we have this as;
10(1)-6 = 4
Outrightly, we can see that the given point is not a solution to the given system of equations
however, let us confirm for the second
We have this as;
-10(1) + 5(6)
= -10 + 30 = 20
so we can confirm that it does not work for any of the two and our answer is NO
A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).
Answer:
Step-by-step explanation:
A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).
Which expressions are equivalent to the expression 18b+24? Select all that apply. *
A.6(3b+4)
B.6(3b+8)
C.2(96-12)
D.3(6b+8)
E.3(6b+4)
F.2(9b+12)
Answer:
A, D, F
Step-by-step explanation:
6(3b+4)=18b+24
6(3b+8)=18b+48
2(96-12)=192-24
3(6b+8)=18b+24
3(6b+4)=18b+12
2(9b+12)=18b+24
Which point is on the graph of -5x + 4y = 60
What type of sequence is this:
a1 = 2
an = an-1+4
Answer:
a
Step-by-step explanation:
the common d/ce is four but not common ratio
The type of Sequence from [tex]a_1[/tex] = 2 and [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 is Arithmetic and recursive.
What is Arithmetic Sequence ?In algebra, an arithmetic sequence is a set of numbers whose every two consecutive terms have the same difference.
An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.
For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6.
Given:
[tex]a_1[/tex] = 2
[tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4
We know that the Arithmetic Sequence is of two forms
Explicit Form : [tex]a_n[/tex] = a+ (n-1)d
and, Recursive form: [tex]a_n[/tex] = [tex]a_{n+1}[/tex] + d
Now, we have [tex]a_n[/tex] = [tex]a_{n-1}[/tex] + 4 which is in the form of Recursive.
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A new iPhone cost $829 and is on sale at a 25% discount. What is the sale price.
Answer:
621.75
Step-by-step explanation:
Hope this helps!!!
Dante’s Pizza offers 6 different kinds of toppings: extra cheese, green olives, mushrooms, onions, peppers, and tomatoes.
A 2-topping pizza must have 2 different kinds of toppings on it. Make a list of all the different 2-topping pizzas you could order.
Answer:
extra cheese, green olives, mushrooms, onions, peppers, and tomatoes.
Step-by-step explanation:
{67, 68, 68, 71, 73, 73, 73, 74, 74, 74, 74, 75, 75, 77, 78, 79, 79, 80, 80}
What is the median of the data?
68
71
74
75
Answer:
74
Step-by-step explanation:
hajahabajsj abshahhahss
Can someone help me with this question?!!
Consider the points.
(2,5) and (-4,5)
If these points are graphed on a coordinate plane, what is the distance between them?
Answer:
6 units
Step-by-step explanation:
Use the distance formula, [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex].
Plug the x and y values from the given points into the distance formula:
[tex]\sqrt{([-4]-2)^{2}+(5-5)^{2}}[/tex].
Solve the square root:
[tex]\sqrt{36}[/tex] = [tex]\sqrt{6^{2}}[/tex] = [tex]6[/tex]
What is the perimeter, in units, of Rectangle WXYZ?
Answer:
I'm pretty sure it's 72, if not i'm sorry
HELP ASAP
Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet.
A triangle is created from point Bird Watcher, point First Bird, and point Second Bird. Angle First Bird is a right angle, and angle Second Bird measures x degrees.
What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth.
35.4°
44.7°
45.3°
54.6°
Answer:
The correct angle is 45.3°
Step-by-step explanation:
Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to [tex]\frac{32}{45}[/tex]. To find the value of x, take the arcsin of both sides and you'll get that [tex]x = arcsin(\frac{32}{45})[/tex] ⇒ [tex]x[/tex] ≈ 45.3°.
Louise has a $75 gift card for her favorite toy store. She buys a model car kit for $22.79 and a doll for $19.95. What is the remaining balance on Louise's gift card?
Answer:
Louise has a remaining balance of $32.76
Step-by-step explanation:
Skylar has a collection of 60 comic books. She gave away some of her comic books to her friend. After she gave them away, she had 48 still. What percent of her comic books did Skylar give away?
Answer:
the percent of her comic books did Skylar give away is 20%
Step-by-step explanation:
Given that
Skylar has a collection of 60 comic books
She gave away some of her books
And she left by 48 books
we need to find out the percent of the skylar give away books
= (60 - 48) ÷ 60
= 12 books ÷ 60 books
= 20%
Hence, the percent of her comic books did Skylar give away is 20%