Solve for x.
ax + b = r
O
b-r
X=
a
O
r-b
X=
a
b-a
X=
r
O
ar
X=
b
Answer:
x = (r-b) /a
Step-by-step explanation:
ax + b = r
Subtract b from each side
ax+b-b = r-b
ax = r-b
Divide each side by a
ax/a = ( r-b)/a
x = (r-b) /a
I have only 10 points plus give me the right answer this is the last I’m gonna ask but pls help just answer the blank question
15
I guess so
Hope it is correct
Which property justifies the statement below?
"If -4x = 28, then 28 = -4r"
A. Commutative Property
B. Symmetric Property
C. Identity Property
D. Transitive Property
Answer:
Commutative Property
Question: 1 out of 10
~!¡! Volume !¡!~
Answer:
a) 96
Step-by-step explanation:
2 + 2 = 4
4 * 24 = 96
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 97 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
Answer:
[tex]r = 5[/tex] --- Radius
[tex]h = 3.9[/tex] --- Height
Step-by-step explanation:
Given
Shape: Cone
[tex]Volume = 97in^3[/tex]
Required
Determine different possible values of radius and height
The volume (V) of a cone is calculated as:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Substitute 97 for V
[tex]97 = \frac{1}{3}\pi r^2h[/tex]
Multiply both sides by 3
[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]
[tex]291 = \pi r^2h[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]291 = 3.14* r^2h[/tex]
Divide both sides by 3.14
[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]
[tex]\frac{291}{3.14} = r^2h[/tex]
[tex]92.68 = r^2h[/tex]
From the question, we understand that:
[tex]r \ne h[/tex]
So, we have to assume a value for either r or h and then solve for the other variable.
Let [tex]r = 5[/tex]
So, We have:
[tex]96.28 = 5^2 * h[/tex]
[tex]96.28 = 25 * h[/tex]
Make h the subject
[tex]h = \frac{96.28}{25}[/tex]
[tex]h = 3.8512[/tex]
[tex]h = 3.9[/tex] --- approximated
Note that there are other different possible values of h that is true for
[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]
Can someone please help me with this I will give brainliest
Answer:
Step-by-step explanation:
2(2x +4) - 2x = x + 18
4x +8 -2x = x +18
2x -x = 18-8
X = 10
Put the value of x in both side
Left side *+*+*+*+*+
2 ( 2*10+4)-2*10
48-20 = 28
Right side +*+*+*+*+*
X + 18
10+ 18 = 28
Mark it as Brainlist. Follow me for more answer
can someone properly explain the multiplier method I need help for revision
Answer:
yes
Step-by-step explanation:
I'm ready to help anyone in maths
(4^2)^4 simplify the expression in the form 4^n please
Answer:
It would be [tex]4^{8}[/tex]
Step-by-step explanation:
[tex](4^{2})^{4}[/tex] is equivalent to [tex]4^{2*4}[/tex] or [tex]4^{8}[/tex].
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $22. The total cost to rent 3 chairs and 8 tables is $71. What is the cost to rent each chair and each table?
Answer:
The cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Step by step:
A party rental company has chairs and tables for rent. The total cost to rent
A party rental company has chairs and tables for rent. The total cost to rent 4
chairs and 8
tables is $73
. The total cost to rent 2
chairs and 3
tables is $28
. What is the cost to rent each chair and each table?
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Edward C. answered • 02/10/15
TUTOR 5.0 (377)
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Let C = cost to rent each chair
Let T = cost to rent each table
4C + 8T = 73
2C + 3T = 28
Multiply the 2nd equation by (-2) and then add the equations together
4C + 8T = 73
-4C - 6T = -56
2T = 17
T = 17/2 = 8.5
Plug this in to the 1st equation to solve for C
4C + 8(17/2) = 73
4C + 68 = 73
4C = 5
C = 5/4 = 1.25
So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
The cost to rent each chair and each table are $1 and $8.5 respectively.
Suppose the price of one chair =x
The price of one table =y
What is a linear equation?Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.
According to the question, the total cost to rent 5 chairs and 2 tables is $22.
5x+2y=22
Multiplying it by 4 on both sides
20x+8y=88.......(1)
The total cost to rent 3 chairs and 8 tables is $71.
3x+8y=71.........(2)
Subtracting (2) from (1)
17x=17
x=1
So, y=8.5
So, the price of 1 chair =$1
the price of 1 table =$8.5
Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.
To get more about linear equations visit:
https://brainly.com/question/14323743
Please Help i need this right now Thanks
Jeri asked 30 classmates how many liked chocolate cake,how many liked white cake,and how many liked neither.Eleven liked chocolate cake,and seven liked white.Assuming that all of her classmates replied,what percent liked neither?
11/30 + 7/30 = 18/30
30/30 - 18/30 = 12/30
12/30 = 0.4
40% liked neither.
Answer:
percent of classmates looked liked neither of 'em=40%
Step-by-step explanation:
students who liked chocolate cake=11
students who liked white cake=7
students who didn't like either of it=30-18=12
percentage of ''=[tex]\frac{12}{30}[/tex] ×100=40%
In the equation 5x - 4 = 71, what is the constant
Answer:
I believe the Constant is 4, because the constant is supposed to be a stand alone number.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
a constant is a number that doesn't change
Analyze the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas. Explain your answer in 1–2 sentences
25 POINTS!
Answer:
Step-by-step explanation:
Firstly, we should begin to know what leveling off is.
Leveling off- to stay the same after a period of increase
Nearing the end of the graph you can see there is no continuous increase for the rotifers. That can be explained by carrying capacity. The flask has limited space.
There is no continuous increase for the rotifers.
We have given that the scatter diagram
And we have to determine, the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas
What is the leveling off?Leveling off- to stay the same after a period of increase
Nearing the end of the graph you can see there is no continuous increase for the rotifers.
That can be explained by carrying capacity.
The flask has limited space.
Therefore, there is no continuous increase for the rotifers.
To learn more about the scatter graph visit:
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Solve for x in the following figure and choose the appropriate result.
Answer:
2x is equal to 45
e is equal to x and 2
Step-by-step explanation:
find the sum of series of multiple of 5 from 5 to 100 inclusive
Answer:
let me think
Step-by-step explanation:
There are 6 dogs and 12 cats in the backyard. Write the ratio of cats to total animals In 3 ways, in simplest form.
Step-by-step explanation:
12:18
12 to 18
12/18 = 2/3
Solve for x
Solve for x
Answer:
x=19
Step-by-step explanation:
20/36=30/(x+5+30)
20(x+35)=30(36)
20x+700=1080
20x=380
x=19
The sum of 7 times the number and 3 times the 2nd numbers 54 if the 1st number is 2 more than the 2nd number what are the 2 numbers right as this movie equations that can be used to find the numbers
Answer:
1) The series of equations that can be used to find the numbers are
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) The first number is 6
The second number is 4
Step-by-step explanation:
1) The given parameters for the numbers are;
7 times the first number + 3 times the 2nd number = 54
The first number = The 2nd number + 2
Let 'x' represent the first number and let 'y' represent the second number
The following series of equations can therefore be used in finding the numbers;
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;
7·x + 3·y = 54
∴ 7×(y + 2) + 3·y = 54
7·y + 14 + 3·y = 54
10·y + 14 = 54
10·y = 54 - 14 = 40
y = 40/10 = 4
The second number = y = 4
The first number, x = y + 2 = 4 + 2 = 6
The first number, x = 6.
I really really need help
Step-by-step explanation:
you can use any two points on the graph but I used the easiest one. It doesn't matter it will give the same result
why is it important to learn statistics?
how can you apply statistics in your everyday life?
Answer:
Statistics is a mathematical technique and science that attempts to extract valid knowledge using empirical data of observation or experiment. The main object of research and study of Statistics is the collection, processing and interpretation of various data with the ultimate goal of drawing safe conclusions for making correct decisions. It is an important science whose applications have a wide field in administration, business, as well as in positive and behavioral or social sciences.
Consider the following two linear equations.
2x + y = 5
-2x + 2y = 4
Solve for the point of intersection using elimination
Point of intersection:
Answer:
(1,3)
Step-by-step explanation:
:)
p=
A. i
B. -1
C. -i
D. 1
Answer:
la respuesta es capó la B
Step-by-step explanation:
xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero
I need help on this and please explain to
Answer:
[tex]\displaystyle m=-0.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-10, 6) → x₁ = -10, y₁ = 6
Point (-15, 7) → x₁ = -15, y₁ = 7
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{7-6}{-15+10}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{1}{-5}[/tex][Fraction] Convert: [tex]\displaystyle m=-0.2[/tex]We will be using the above formula. The answer will be a bit rough.
Okay. So our two points are (-10, 6) and (-15, 7). The number first in the brackets is always the 'x' variable while the second number in the bracket is always the 'y' variable. I will be using ² instead of the bottom 2 (As shown in the formula).
x = -10 x² = -15
y = 6 y² = 7
7 - 6
m = ———
- 15 - (-10) = -15 + 10
1
m = ——— OR - 0.2
- 5
Find the measure of an angle and its complement if one angle measures 18 degrees more than the other?
Answer:
x+18=90-x
use this equation and solve
2x=72
x=36
36+18=54
90-54=36
54 degrees and 36 degrees
The solution is, the measure of an angle and its complement are, 54 degrees and 36 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
let, one angle = x
x+18=90-x
use this equation and solve
2x=72
x=36
so, we get,
36+18=54
90-54=36
Hence, The solution is, the measure of an angle and its complement are, 54 degrees and 36 degrees.
To learn more on angle click:
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Need help!!!! ahaaaaaa
Answer:
Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!
Please help me I don’t know what to do
A car ride is drawn on a coordinate plane so that the first card is located at the point by (5,10) what are the coordinates of the first car after a rotation of 270° about the origin
Answer:
There are two possible solutions:
Clockwise rotation
[tex]P'(x,y) = (-10,5)[/tex]
Counterclockwise rotation
[tex]P'(x,y) = (10, -5)[/tex]
Step-by-step explanation:
There are two possible answers: (i) Clockwise rotation, (ii) Counterclockwise rotation. Vectorially speaking, rotation of point of rotation of a point about another point of reference is defined by:
[tex]P'(x,y) = O(x,y) + r_{OP}\cdot (\cos (\theta_{OP}\pm \theta'),\sin (\theta_{OP}\pm \theta'))[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]r_{OP}[/tex] - Length of the segment OP.
[tex]\theta_{OP}[/tex] - Direction of segment OP, measured in sexagesimal degrees.
[tex]\theta '[/tex] - Angle of rotation, measured in sexagesimal degrees.
Please notice that clockiwise rotation occurs when [tex]\theta = \theta_{OP}-\theta'[/tex] and counterclockwise rotation when [tex]\theta = \theta_{OP}+\theta'[/tex]. In addition, we define length and direction of the segment below:
[tex]r_{OP} = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}[/tex] (1)
[tex]\theta_{OP} = \tan^{-1} \frac{y_{P}-y_{O}}{x_{P}-x_{O}}[/tex]
If we know that [tex]x_{O} = y_{O} = 0[/tex], [tex]x_{P} = 5[/tex], [tex]y_{P} = 10[/tex] and [tex]\theta' = 270^{\circ}[/tex], then the coordinates of the first car after rotation is:
[tex]r_{OP} = \sqrt{(5-0)^{2}+(10-0)^{2}}[/tex]
[tex]r_{OP} \approx 11.180[/tex]
Please notice that original point is located at first quadrant of the Cartesian plane centered at origin, then the direction of the segment OP is:
[tex]\theta_{OP} = \tan^{-1} \frac{10-0}{5-0}[/tex]
[tex]\theta_{OP} \approx 63.435^{\circ}[/tex]
The two solutions are finally presented:
Clockwise rotation
[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (-206.565^{\circ}),\sin (-206.565^{\circ}))[/tex]
[tex]P'(x,y) = (-10,5)[/tex]
Counterclockwise rotation
[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (333.435^{\circ}),\sin (333.435^{\circ}))[/tex]
[tex]P'(x,y) = (10, -5)[/tex]
Helpppp!!!!
Which of the following are square roots of the number below? Check all that
apply.
49
A. 7
B. 28
C. 8
D. -491/2
E. -7
F. 491/2
Answer:
Step-by-step explanation:
Because 7(7)=(-7)(-7)=49 the square roots of 49 are 7 and -7
7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.
Answer:
A=-6 is the answer
Step-by-step explanation:
it's simple
2.) Find the value of n in the equation 1/2(n+4) = 6 *
Answer:
2
Step-by-step explanation: