The value of x from the inequality is x < 3
What is an inequality?An inequality is defined as a statement of an order relationship between two numbers or algebraic expressions.
Given the inequality;
3x + 1 < 10
To determine the solution, we take the followings steps;
collect like terms
3x < 10 - 1
Find the difference between the terms
3x < 9
Make 'x' the subject of formula
x < 9/ 3
x < 3
Thus, the value of x from the inequality is x < 3
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True or False:
______1. The number of decimal numbers in the product is based on the number of decimal numbers of the factors.
______2. In multiplying with 0.001, move the decimal point to the right 3 times.
______3. Multiplying decimal is almost the same as multiplying whole numbers.
______4. In 3.41 x 1,000, the product is 3,410.
______5. The product of 16.23 and 17.4 is 282.402.
Answer:
Step-by-step explanation:
Which property of addition is shown in the equation below?
a + bi + 0 + 0i = a + bi
The property of addition that represents this is the zero property of addition
How to determine the property of addition?The equation is given as:
a + bi + 0 + 0i = a + bi
In the above equation, the number is added by 0 and the result is the initial number
The property of addition that represents this is the zero property of addition
Because it states that
a + 0 = 0
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PLEASE ANSWERING THIS QUESTIONS!!
The length of a rectangle is two more than double the width. If the perimeter is 82 inches, find the dimensions.
The width is (Blank) inches.
The length is (Blank) inches.
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
[tex]\huge\mathcal {♨Answer♥}[/tex]
Let's get the width as [tex]\large\texttt {x}[/tex]
So,
The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]
The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]
Let's get the answer for width,
☆ 2 (2x + 2) + 2x = 82
4x + 4 + 2x = 82
6x + 4 = 82 - 4
6x ÷ 6 = 78 ÷ 6
x = 13
Let's get the answer for length,
☆ 2x + 2
2 × 13 + 2
28
Then,
[tex]\large\texttt {↪The width is 13 inches}[/tex]
[tex]\large\texttt {↪The length is 28 inches}[/tex]
☆...hope this helps...☆
_♡_mashi_♡_
please answer question in the picture
PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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1. Identify the error.
Determine the coordinates for A' after a
reflection over the x-axis.
B
D
The coordinates for A' will be (3, 1).
(3, -1)
Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.
Reflection of a coordinate in x-axis, negates the y - coordinate.
So, negation of 1 = -1
So, the new coordinate is ( 3, -1)
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73 term for the arithmetic sequence 18,30,42
The 73rd term of the arithmetic sequence 18,30,42 = 882.
What is arithmetic sequence ?An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and 27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.
What does not constitute an arithmetic sequence?The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.
According to the given data:Let us now look for the explicit rule for with this arithmetic sequence. We have the following:
aₙ = a₁ + (n - 1) * d
= 18 + 12 * (n - 1)
= 12n + 6.
The 73rd term is 12 (73) + 6 = 882.
The 73rd term of the arithmetic sequence 18,30,42 = 882.
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I need help with this
Answer: last one
Step-by-step explanation:
I think it's the last one because the value of 8 is negative and the value of 1 is positive. however, rita changes the negative and positive numbers and thats why she is wrong.
❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)
Answer:
m will be the right answer
Find the first five terms of the recursive sequence. Show all your work. an = 3a n-1 - 6 where a1 = 7
======================================================
Work Shown:
First replace every copy of n with 2
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_2 = 3*(a_{2-1}) - 6\\\\a_2 = 3*(a_{1}) - 6\\\\a_2 = 3*(7) - 6\\\\a_2 = 21 - 6\\\\a_2 = 15\\\\[/tex]
Notice how the second term [tex]a_2[/tex] relies on the first term [tex]a_1[/tex]
Then repeat for n = 3
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_3 = 3*(a_{3-1}) - 6\\\\a_3 = 3*(a_{2}) - 6\\\\a_3 = 3*(15) - 6\\\\a_3 = 45 - 6\\\\a_3 = 39\\\\[/tex]
Same goes with n = 4
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_4 = 3*(a_{4-1}) - 6\\\\a_4 = 3*(a_{3}) - 6\\\\a_4 = 3*(39) - 6\\\\a_4 = 117 - 6\\\\a_4 = 111\\\\[/tex]
Finally plug in n = 5
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_5 = 3*(a_{5-1}) - 6\\\\a_5 = 3*(a_{4}) - 6\\\\a_5 = 3*(111) - 6\\\\a_5 = 333 - 6\\\\a_5 = 327\\\\[/tex]
-----------------------------------
We have this summary:
[tex]a_1 = 7\\\\a_2 = 15\\\\a_3 = 39\\\\a_4 = 111\\\\a_5 = 327\\\\[/tex]
The first five terms are: 7, 15, 39, 111, 327
?
5
Find the arc length of the semicircle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units
Show Calculator
The length of the arc is calculated for the given semicircle as 15.7 units.
What exactly is a semicircle?When a circle is split in half it along diameter, a semicircle is formed. The 2 halves are the same size.A semicircle, also defined as a ½, is a folded circular sheet plate in half.The semicircle has one symmetry line, which is recognized as the reflection symmetry.The semicircle's arc everytime measures 180° because it is half of the a 360° circle.For, the given question.
The radius of the semicircle is 5 units.
The length of the arc of semicircle is equal to the perimeter of the semicircle.
The formula for perimeter;
P = πr
where, r is the radius and π = 3.14.
Put the values in the formula.
Perimeter = 3.14×5
Perimeter = 15.7 units.
Therefore, the length of the arc of the semicircle is 15.7 units.
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The perimeter of the school crossing sign is 102 inches. What is the value of s ?
Equation:
= 102
S =
What is the length of each side? Label the length of each side in inches.
2s-
Answer:
The value of s is 15
Step-by-step explanation:
so first you count all the sides and add them up
s+6+s+6+s+2s+s=102
6s+12=102
6s=90
s=15!!
After that you plug that into to the equations for the answer.
Hope this helps!
Ryan has nine 14-ounce bags of popcorn
to repackage and
sell at the school fair.
A small bag holds 3 ounces. How many
small bags can he make?
What is the solution set for the following
inequality?
6x +12 ≥ 2x + 10
A prize of $20,000 is to be shared by two winners of a contest in the ratio of 6 to 4. What is the larger share worth? What is the smaller share worth?
Answer:
Mark me brainliest hope your day goes wellSuppose that u and v are two vectors with |u| = 1, |v| = 3 and u · v = −2.
a. Compute |u + v|.
b. Compute |(u + 2v) × v|.
a. |u + v| = 4
b. |(u + 2v) × v| = 16
What are vectors?Vectors are known as quantities having both magnitude and direction.
Given that;
|u| = 1 |v| = 3 u · v = −2a. |u + v|
Substitute the values of the vectors
|u + v| = 1 + 3
|u + v| = 4
b. |(u + 2v) × v|
Expand the bracket
|u. v + 2v² |
But u. v = -2
We then have;
-2 + 2(3)²
-2 + 2(9)
-2 + 18
16
Thus, the values are 4 and 16 respectively.
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Sixteen participants pre-registered for a workshop that had a total of 30 participants.
Approximately what percentage of all participants pre-registered for the workshop? A 1.9% B 5.3% C 18.8% D 53.3%
Answer: D
Step-by-step explanation:
16/30 x100= 53.3%
(2thousands 7 tens) multiple by 10
Answer:
207 2 hundreds seven ones
Step-by-step explanation:
Use a calculator to find a decimal approximation for the following trigonometric function sin 28°48
The decimal approximation for the trigonometric function sin 28°48' is
Given the trigonometric function is sin 28°48'
The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.
To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°
sin (28°48') = sin(28° ₊ (48 × 1/60)°)
= sin(28° ₊ (48 /60)°)
= sin(28° ₊ 4°/5)
= sin(28° ₊ 0.8°)
= sin(28.8°)
= 0.481753
Therefore sin (28°48') is 0.481753.
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Solve for f can somebody help
Answer: f < 9
Step-by-step explanation:
first, cross multiply 2 and 2:
f - 5 < 4
f < 9
Answer:
f < 9
Step-by-step explanation:
=> (f-5)/2 < 2
multiplying both sides by 2
=> 2(f-5)/2 < 2×2
=> f-5 < 4
adding 5 to both sides
=> f-5+5 < 4+5
=> f < 9
I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS
Answer:
No
Step-by-step explanation:
The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.
MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 to rent shoes and $4.50 per game. a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B? Bowling alley A: ___ or more games. Bowling alley B: ___ or___ games .
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.
The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
How to solve inequality word problems?Bowling alley A;
Their charges per game is $4 per game
Charges to rent shoes is $3.75
If number of games is x, then we have;
Total Cost = 3.75 + 4x
Bowling alley B;
Their charges per game is $4.50 per game
Charges to rent shoes is $2.50
If number of games is x, then we have;
Total Cost = 2.5 + 4.5x
Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;
2.5 + 4.5x > 3.75 + 4x
Rearrange to get like terms gives;
4.5x - 4x > 3.75 - 2.5
0.4x > 1.25
x > 1.25/0.4
x > 3.125
Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
B) Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;
3.75 + 4.5x > 2.5 + 4.5x
This means that the total cost will now always be greater at Bowling alley A
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I need help on question 1-6 please
Ill mark brainlist
Answer:
1: 7.2 2: 2012 3: 2014 and 2015 4: 2011 5: 6.6 6:1
Step-by-step explanation:
I don't have time to explain.
It just is.
-4p + (-2) +2p + 3 combine like terms
Answer:
Step-by-step explanation:
-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p
= -1p
You, Newton, and Descartes have
17 stampers in all. Newton and Descartes each
have 6. How many stampers do you have?
I will have 5 stampers
How to calculate the number of stampers left ?I, Newton and Descartes have 17 Stampers in total
Newton and Descartes have 6 stampers each
6 + 6
= 12
The number of stampers left for me can be calculated as follows
= 17 - 12
= 5
Hence I have 5 stampers
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Help!!!!!!Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.
∠DFG and ∠JKL are complementary angles
Measure of each angle
Given :
∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,
and m∠JKL = x − 1
When two angles are complementary then the sum of angles is 90 degrees
∠DFG and ∠JKL are complementary angles.
So,
Now replace the expressions and solve for x
Now replace x with 43 and find out each angle
Divide 38 in two parts such that one part is 18 more than the other
Answer:
10 and 28
Step-by-step explanation:
let x be one number then the other is x + 18 ( 18 more than the other ), then
x + x + 18 = 38
2x + 18 = 38 ( subtract 18 from both sides )
2x = 20 ( divide both sides by 2 )
x = 10
and x + 18 = 10 + 18 = 28
the 2 numbers which divide 38 into the 2 parts are 10 and 18
In the diagram, P is a point on ST such that P is between S and T. If SP = x + 3, PT =2x-1 and ST = 17, find the length of PT
Based on the given parameters, the numerical length of PT is 9 units
How to determine the length of PT?The given parameters are:
P is a point on ST such that P is between S and T.
SP = x + 3,
PT = 2x - 1
ST = 17
The statement "P is a point on ST such that P is between S and T" implies that
ST = SP + PT
Substitute the known values in the above equation
17 = x + 3 + 2x - 1
Evaluate the like terms
17 = 3x + 2
Add 2 to both sides of the equation
3x = 15
Divide both sides of the equation by 3
So, we have
x = 5
Substitute x = 5 in PT = 2x - 1
So, we have
PT = 2 x 5 - 1
Evaluate
PT = 9
Hence, the numerical length of PT is 9 units
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You are buying a new car. There are 7 body styles, 3 colors, and 7 models. How many different choices of car are there?
Answer:
147 different choices.
Step-by-step explanation:
(7)(3)(7) = 147
Hope this helps
Help plss
If m/ABF = 8w - 6 and m/ABE = 2(w + 11), find m/EBF.
B
ㅏ
Answer:
∠ EBF = 47°
Step-by-step explanation:
since BE bisects ∠ ABF , then
∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22
∠ ABF = ∠ ABE + ∠ EBF ( substitute values )
8w - 6 = 2w + 22 + 2w + 22
8w - 6 = 4w + 44 ( subtract 4w from both sides )
4w - 6 = 44 ( add 6 to both sides )
4w = 50 ( divide both sides by 4 )
w = 12.5
Then
∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°