Identify the property of equality that justifies the missing step in solving the equation below
Answers
Answer:
property of equality that justifies the missing step is Division property of equality
Step-by-step explanation:
We need to Identify the property of equality that justifies the missing step
[tex]28=4x-8\\28+8=4x\\36=4x[/tex]
Now, we divide both sides by 4 using division property of equality as it states that [tex]\frac{a}{c}=\frac{b}{c}[/tex]
[tex]\frac{36}{4}=\frac{4x}{4}\\9=x[/tex]
So, The property of equality that justifies the missing step is Division property of equality
Related Questions
A rectangular box is 17 cm wide and 26 cm high. If the
surface area of the box is 4238 square centimeters,
find the length of the box.
Answers
Answer:
3796 length of the box
Step-by-step explanation:4,238-26×17=3,796
Aisha is three years older than Mpho . Together their ages add up to 17 years. How old is Aisha
Answers
Answer:
Aisha is ten years old and Mpho is seven
The age of Aisha is 10 years old and the age of Mpho is 7 years old.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Aisha is three years older than Mpho. Together their ages add up to 17 years.
Let x be the age of Aisha and y be the age of Mpho. Then the equations are given as,
x = y + 3 ...1
x + y = 17 ...2
From equations 1 and 2, then we have
y + 3 + y = 17
2y = 14
y = 7
Then the value of 'x' is given as,
x = 7 + 3
x = 10
The age of Aisha is 10 years old and the age of Mpho is 7 years old.
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Do these decorations always come off of jokers or end up falling off when they get old answer asap for brainlist?
Yes or no
Answers
Answer:
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Ln(x)=y (log(x)) what is y?
Answers
Answer:
Step-by-step explanation:
ln(xy²/z)
712 can be divisble by both 2 and 3?
Answers
Answer:
no
Step-by-step explanation:
it is divisble by 1, 2, 4, 8, 89, 178, 356, 712
Micaela and Elisa each Micaela and Elisa each improved their yards by planting rose bushes and geraniums they both bought their supplies from the same store. Micaela spent $122 on 14 rose bushes and. 8 geraniums Elisa spent $120 on 12 rose bushes and 12 geraniums. What is the cost of one geranium?
HELP ASAP
Answers
By solving a system of equations, we can see that each geranium costs 3 dollars.
What is the cost of one geranium?
First, let's define the two variables:
x = price of one rose bush.
y = price of one geranium
Now, with the information on the problem we can write two equations, thus, we will have a system of equations:
$122 = 14*x + 8*y
$120 = 12*x + 12*y
We want to solve that system, if we isolate x on the first equation we will get:
x = ($122 - 8y)/14
Now we can replace this on the other equation:
$120 = 12*($122 - 8y)/14 + 12*y
Now we can solve this for y.
14*$120 = 12*($122 - 8y) + 12*14*y
$1,680 = $1,464 + 72y
($1,680 - $1,464 )/72 = y = $3
Each geranium costs 3 dollars.
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width= x length =2x+6. Two expressions to represent the perimeter
Answers
The two expressions to represent the perimeter of this rectangle include the following:
P = 2(2x + 6 + x).P = 2(3x + 6).What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangle can be calculated by using this formula;
P = 2(L + W)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.Substituting the given variables into the given expression, we have;
P = 2(2x + 6 + x) ......expression 1.
For the second expression, we have:
P = 2(2x + 6 + x)
P = 2(3x + 6) ......expression 2.
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Complete Question:
The length of a rectangle is 2x+6 and the width is x. Write two expressions to represent the perimeter.
what is the value of x?
please help!!
Answers
Answer: 20
Step-by-step explanation:
Step by step
The two angles will equal 180 degrees as a complementary angle.
So your equation is
2x + 40 = 180
Solve for x
Subtract 40 from both sides to isolate x
2x + 40 - 40 = 180 - 40
2x = 140
Divide both sides by 2 to solve for x
2/2 x = 140/2
x = 70
Now check your work
2x + 40 = 180
2 (70) + 40 = 180
140 + 40 = 180
180 = 180
Problem solved!
Please help me 40 points and brainliest (show your work)
Answers
The actual width of Tyrone's patio using the scale drawing is 16 feet's
How to find the actual width of Tyrone's patio using scale drawing?The scale from the backyard to the drawing is 2 ft to 1 inches.
The width of the patio on the drawing is 8 inches.
Therefore, the width of the Tyrone's actual patio is as follows;
Hence,
1 inches = 2 feet's
8 inches = ?
cross multiply
actual length of Tyrone's patio = 8 × 2
actual length of Tyrone's patio = 16 feet's
Therefore, using the scale drawing, the actual length of Tyrone's patio is 16 feet's.
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I only need the answer for Part 1, thank you.
Answers
a The absolute value of ax will be considered while for the second the absolute value of ax + b will be considered.
b The absolute value of ax will be considered while for the second the absolute value of ax + b will be considered.
Given data
a, b, c, and x be real numbers.
How to show the difference in solving |ax| + b = c and |ax + b| = c|ax| + b = c
The equation here contains the modulus sign only for ax hence only the absolute value of ax is considered.
|ax + b| = c
Here the modulus sign covers both ax and b hence the absolute values of ax + b is considered.
How to show the difference in solving |ax| + b ≤ c and |ax + b| ≥ c|ax| + b ≤ c
The equation here contains the modulus sign only for ax hence only the absolute value of ax is considered.
|ax + b| ≥ c
Here the modulus sign covers both ax and b hence the absolute values of ax + b is considered.
Note that absolute values do not consider the signs
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For each of the following polynomials given a power function that best represents the end behavior of the polynomial. Draw the arrows.
Answers
Answer:
the answer is the 3rd to the 4th power and
The end behavior of the polynomial y=-4x+8x-21'+3 is y = -4x^3.
What is degree of a polynomial?Degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is addition of power of variables in that term).
Thus, in the degree of the polynomial is 3 as the highest power in its terms is 3.
(power and exponent are same thing)
We are given that;
The functions (a) 1=3x-2x+12
(b) 1-10-8.x2
(c) y=6r-4r+x-120
(d) y=-3x+2x-4x+7
(e) y=5x+2x2
(f) y=-4x+8x-21'+3
Now,
To find the power function that best represents the end behavior of a polynomial, we need to look at the leading term (the term with the highest degree) of the polynomial.
(a) The leading term of this polynomial is 3x. So the power function that best represents its end behavior is y = 3x.
(b) The leading term of this polynomial is -8x^2. So the power function that best represents its end behavior is y = -8x^2.
(c) The leading term of this polynomial is 6r. So the power function that best represents its end behavior is y = 6r.
(d) The leading term of this polynomial is -3x^3. So the power function that best represents its end behavior is y = -3x^3.
(e) The leading term of this polynomial is 2x^2. So the power function that best represents its end behavior is y = 2x^2.
(f) The leading term of this polynomial is -4x^3. So the power function that best represents its end behavior is y = -4x^3.
Therefore, by polynomials the answer will be y = -4x^3.
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the length of a rectangle is 3 less than twice the width. The perimeter is 108 in. What is the length and width?
Answers
Answer:
19 in and 35 in
Step-by-step explanation:
Let the width be w and the length be 2w-3. Then,
[tex]2(w+2w-3)=108 \\ \\ 3w-3=54 \\ \\ 3w=57 \\ \\ w=19 \\ \\ \implies 2w-3=35[/tex]
Pls help BD bisects LABC. Find m LABD, m m LABC = (25x + 34) °
Answers
Answer: ABD=67 degrees
CBD=67 degrees
ABC=134 degrees
Step-by-step explanation:
ABC=ABD+CBD
25x+34=ABD+11x+23
14x+34=ABD+23
ABD=14x+11
ABD=CBD ==> Bisected angles are equal to each other since angle ABC is divided into two equal angles when bisected.
14x+11=11x+23
3x+11=23
3x=12
x=4
ABD=14x+11
ABD=14(4)+11
ABD=56+11
ABD=67 degrees
CBD=11x+23
CBD=11(4)+23
CBD=44+23
CBD=67 degrees
ABC=25x+34
ABC=25(4)+34
ABC=100+34
ABC=134 degrees
Answer:
∠ ABD = 67° , ∠ CBD = 67° , ∠ ABC = 134°
Step-by-step explanation:
since BD bisects ∠ ABC , then
∠ ABD = ∠ CBD = 11x + 23
∠ ABC = ∠ ABD + ∠ CBD ( substitute values )
25x + 34 = 11x + 23 + 11x + 23
25x + 34 = 22x + 46 ( subtract 22x from both sides )
3x + 34 = 46 ( subtract 34 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Then
∠ ABD = 11x + 23 = 11(4) + 23 = 44 + 23 = 67°
∠ CBD = ∠ ABD = 67°
∠ ABC = 25x + 34 = 25(4) + 34 = 100 + 34 = 134°
Simplify each expression. 13. (9 − 3) 2− (5 • 4) 0= _________________ 14. (2 + 3) 5÷ (5 2 ) 2= _________________ 15. 4 2÷ (6 − 2) 4= _________________ 16. [(1 + 7) 2 ] 2• (12 2 ) 0= _________________
Answers
The expressions can be simplified as follows-
1. (9 − 3) 2− (5 • 4)0 = 12
2. (2 + 3)5 ÷ (5 × 2)2 = 5/4
3. 4 × 2 ÷ (6 − 2)4 = 1/2
4. [(1 + 7) 2] 2• (12 2 )0 = 0
Let us look at each expression one by one-
1. (9 − 3) 2− (5 • 4)0
Zero multiplied by any number is 0 itself. Thus, the expression becomes-
= (9 - 3) 2
= 6 × 2
= 12
2. (2 + 3)5 ÷ (5 × 2)2
According to the rules of BODMAS, we first solve the brackets-
(5)5 ÷ (10)2
= 25 ÷ 20
= 25/20
= 5/4
3. 4 × 2 ÷ (6 − 2)4
= 4 × 2 ÷ (4)4
= 8 ÷ (4)4
= 8/16
= 1/2
4. [(1 + 7) 2] 2• (12 2 )0
= [(8)2]2• 0
= 0
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Jerry surveyed adult males to study the relationship between their High and the length of their Footwear both are measured in centimeters. he found the equation y equals 75 + 3.4 x in which tax is the foot length and why is the height to be a good fit for his data. Based on this equation what would be the expected foot length of an adult male who is 1.8 m tall round your answer to the nearest tenth
Answers
The expected foot length of an adult male who is 1.8 m tall is 30.8 cm.
How to illustrate the information?Based on the information given, Jerry surveyed adult males to study the relationship between their high and the length of their footwear both are measured in centimeters and he found the equation y equals 75 + 3.4 x.
This will be illustrated as:
y = 75 + 3.4x..
y = 1.8m = 180
Therefore, y = 75 + 3.4x.
180= 75 + 3.4x
180 = 75 + 3.4x
Collect like terms
3.4x = 180 - 75
3.4x = 105.
Divide
x = 105 / 3.4
x = 30.8 cm
Therefore, the expected foot length of an adult male who is 1.8 m tall is 30.8 cm.
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what are the length and width in meters of the actual court
Answers
The real court is 9 by 18 meters in length and width.
In arithmetic, what does length mean?The length of something is its width or size measured across its entire surface. Or, to put it another way, it is the larger of a geometric shape's higher two or three dimensions.
This statement implies that the court's original dimensions have been reduced by 22.5 for every 1 centimeter in the size of the current drawing, which is 40 cm by 80 cm. To get the original dimension, we will multiply the required dimension by each 22.5 cm as shown. Original length for a 40-cm length = 40 * 22.5 originally 900 cm long 100 cm equals one meter in metres. Multiply 900cm by x to get 9m: 100x = 900*1x = 900/100x Therefore, 900cm = 9m For the 80-cm width: Original width is equal to 80 * 22.5, or 1800 cm. 100 cm equals one meter in metres. multiplying 1800cm by x yields 100x, 1800*1, 1800/100x, and 18m. So 1800cm = 9m. As a result, the real court is 9 meters long and 18 meters wide.
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Suppose that the functions p and q are defined as follows.
p(x)=x² +6
q (x)=√x+9
Find the following.
(pg) (7) =
(9 °p) (7) = [
X
0/0
5
Answers
Answer:
Step-by-step explanation:
Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.
Answers
←
The surface area of a
three-dimensional figure is the sum of
the areas of all of its surfaces. Find the surface area of the
figure shown to the right.
The surface area of the figure is in².
4 in
4 in
10 in
Answers
Answer:
192 [in²]
Step-by-step explanation:
Area=(4*4)*2+(4*10)*4=192.
if the m P=4x+1 and m Q=9x-3, find m Q
Answers
Answer:
4×9=36
1-3=-2
36÷2=18
Step-by-step explanation:
4×+1,9×-1.
4×9=36
1-3=-2
the ice rink sold 95 tickets for a total of 828.00. general admission tickets are $10.00 each and youth tickets are $8.00 each. how many of each did they sell
Answers
There were 61 youth tickets sold and 34 general admission tickets in linear equation .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.GA= GENERAL ADMISSION =$10
Y= YOUTH =$8
GA+Y= 95
GA=95-Y
10GA+8Y=828
10(95-Y)+8Y=828
950-10Y+8Y=828
-2Y= 122 MULTIPLY BY (-1)
2Y= 122
Y= 61
GA= 34
There were 61 youth tickets sold and 34 general admission tickets.
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Question Multiply. (−5 5/8)⋅(−2 1/3) What is the product? Enter your answer as a simplified mixed number in the box.
Answers
Answer:
[tex]13\frac{1}{8}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(-5 \frac{5}{8}\right) \cdot \left(-2 \frac{1}{3} \right)[/tex]
Convert the mixed numbers into improper fractions by multiplying the whole number by the denominator, adding it to the numerator of the fraction, and placing this as the numerator:
[tex]\implies -\dfrac{5 \cdot 8+5}{8} \cdot -\dfrac{2 \cdot 3+1}{3}[/tex]
[tex]\implies -\dfrac{40+5}{8} \cdot -\dfrac{6+1}{3}[/tex]
[tex]\implies -\dfrac{45}{8} \cdot -\dfrac{7}{3}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{a \cdot c}{b \cdot d}:[/tex]
[tex]\implies \dfrac{-45 \cdot -7}{8 \cdot 3}[/tex]
[tex]\implies \dfrac{315}{24}[/tex]
Convert the improper fraction into a mixed number:
[tex]\implies 315 \div 24 = 13\: \text{r}\:3[/tex]
[tex]\implies 13\frac{3}{24}[/tex]
[tex]\implies 13\frac{1}{8}[/tex]
Answer:
Product = 13 1/8
Step-by-step explanation:
The equation is,
→ (-5 5/8) × (-2 1/3)
Now the product of equation will be,
→ (-5 5/8) × (-2 1/3)
→ (-45/8) × (-7/3)
→ (-15 × -7)/8
→ 105/8
→ 13 1/8 {mixed fraction}
Therefore, the product is 13 1/8.
Sophie needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4 hours and charged her $127 for
parts. The total was $227. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answers
Answer: 227=4x+127
x=$25
Step-by-step explanation:
227=4x+127 ==> equation
227-127=4x+127-127
4x=227-127
4x=100
4x/4=100/4
x=100/4
x=$25
Please help! 10 points. If u don’t know don’t js answer for point I really need help. And please explain! Thank u!
Answers
Answer:
(b) √(4x+2)√(25x-4)
Step-by-step explanation:
Given two functions f(x) = √(4x+2) and g(x) = √(25x-4), you want the function fg.
SolutionThe product fg is a bit of shorthand notation:
[tex]fg = fg(x) = f(x)\cdot g(x)[/tex]
Substituting the given function definitions, we have ...
[tex]f(x)\cdot g(x) = \sqrt{4x+2}\cdot\sqrt{25x-4}[/tex]
The product of the radicals could be combined into one radical, but that has not been done in your answer choices. This means ...
[tex]\boxed{fg=(\sqrt{4x+2})(\sqrt{25x-4})}[/tex]
Find the slope between points (1,-1) and (2,-2)
Answers
Answer:
The slope should be -1.
----------------------------------
Hope this helps!
Have a great day and God bless! :)
================================================
Work Shown:
[tex](x_1,y_1) = (1,-1) \text{ and } (x_2,y_2) = (2,-2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-2 - (-1)}{2 - 1}\\\\m = \frac{-2 + 1}{2 - 1}\\\\m = \frac{-1}{1}\\\\\boldsymbol{m = -1}\\\\[/tex]
--------------------
Side notes:
Slope = rise/run
rise = change in y value = [tex]y_{2} - y_{1}[/tex]
run = change in x value = [tex]x_{2} - x_{1}[/tex]
Make sure you subtract in the same order each time.
Identify which of the following numbers is an integer, rational and real number?
A.
−√5
B.
-1/2
C.
-50, 000, 000
D.
-1.5
Answers
From the given numbers :
Integers: -50,000,000
Rational numbers : -1/2 and -1.5
Real numbers : −√5 , -1/2, -50, 000, 000 , -1.5.
As given,
Given numbers:
A. −√5 :It is an irrational number.
Therefore belongs to real numbers.
B. -1/2 :In p/q form .
It is a rational and real number.
C. -50,000,000
It is a negative integer and real number.
D. -1.5 =-15 /10
=3/2
It is a rational and real number.
Therefore, from the given numbers :
Integers: -50,000,000
Rational numbers : -1/2 and -1.5
Real numbers : −√5 , -1/2, -50, 000, 000 , -1.5.
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!!!!!!!Question 3 pls help!!!
Answers
PLEASE HELP ME !!!?!????
Answers
The figure below shows points PQRS on a circle centre O. QP is produced to X Angle XPS = 77 and angle PSO = 68⁰. R Find the size of angle PQO. 0 68% 770 S X
Answers
Answer:
Step-by-step explanation:
Which of the following statements is true of the data displayed on this graph? 3 2 (2,5) (1,2) 2 77 (3,4) (3, 1) 3 (6,5) (5,3) 5 6 O The set of points on this graph is a relation and is a function. O The set of points on this graph is a relation but not a function O The set of points on this graph is a function but not a relation O The set of points on this graph is not a function and not a relation.
Answers
The set of points on this graph is a relation but not a function
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, we have the data as:
(2,5), (1,2), (3,4), (3, 1), (6,5) and (5,3)
We can say that it is a relation as for every input, there is an output.
But, it is not a function.
This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.
Therefore, the set of points on this graph is a relation but not a function.
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