х
3
16
The first step to solve the equation 4
II
is shown below.
X 3 3
3
-8 + 8 = 16+
4
Which property was applied in this step?
Addition Property of Equality
O Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answers
To see which option is the most accurate one, we will verify all the options to see which is correct.
________________________________________________Option A (Correct/Incorrect)
This is correct.Option A (Reasoning):
In this step, we can see that 3/4 was added to both sides. This can only mean that the property used here is the Addition property of Equality.
________________________________________________Option B (Correct/Incorrect)
This is incorrectOption B (Reasoning):
In this step, subtraction has not been used. It has been clearly stated that 3/4 was added to both sides.
________________________________________________Option C (Correct/Incorrect)
This is incorrectOption C (Reasoning):
In this step, multiplication has not been used. It has been clearly stated that 3/4 was added to both sides.
________________________________________________Option D (Correct/Incorrect)
This is incorrectOption D (Reasoning):
In this step, division has not been used. It has been clearly stated that 3/4 was added to both sides.
________________________________________________Option A is correct.
Addition property of equality is applied in the first step of equation x/4-3/4=16.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x/4-3/4=16
x divided by four minus three divided by four equal to sixteen.
The first step to solve this equation as
x/4-3/4+3/4=16+3/4
Which means we have added 3/4 on both sides of the equation.
As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal.
So we have used the addition property of equality
Hence, addition property of equality is applied in the first step of equation x/4-3/4=16.
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Related Questions
One fourth of what number is 5/6
Answers
Answer:
20/6 or 10/3 or 3 1/3
Step-by-step explanation:
Answer:
10/3 = 3 1/3
Step-by-step explanation:
If 5/6 is one fourth (1/4) of a number,
multiply 5/6 by 4 to find the number:
5/6 x 4 = 10/3 = 3 1/3
The value of a is the value of 3x2 - 4x - 3 when x = -2. Find the value of 3a - 3.
Answers
Step-by-step explanation:
put the value of x in equation and you get the answer
then put value of a on 3a-3
Solve for m. 34m>−12 m>−16 m<−16 m>−9 m<−9
Answers
Answer:
-17m/-6 , 4m/3
Step-by-step explanation:
Im not sure what the question is regarding but if its what im doing in school now that is the answer
John bought new headphones originally listed for $ 80.99 . They are \(35\%)| off. Which equation can be used to find the amount John will save?
Answers
Answer:
$28.35
Step-by-step explanation:
The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.
I need help please can you explain it please
Answers
An 8 ft length of 4 inch wide crown molding costs $14. how much will it cost to buy 40 ft of crown molding?
Answers
Answer:
$98
Step-by-step explanation:
Hope this helps
Answer:
17.50
Step-by-step explanation:
8 times 4 = 32
32=$14
32/14= 40/x
x= 17.50
hey can someone help me with this Pleas and thank you, :)
Answers
Step-by-step explanation:
cube b side = 2*4=8 cm
cube a volume = 64 cm^3
cube b volume = 512 cm^3
How to find the median of 30 37 8
Answers
Answer:
to find the median, divide the odd number by 2 and round it up
for even numbers, only divide by 2.
Average the numbers with the number in the next highest position.
You have a median.
In this case, the median is 30.
The median of the numbers 30, 37, and 8 is 30.
To find the median of a set of numbers, you first need to arrange the numbers in either ascending or descending order and then determine the middle value.
Given the numbers: 30, 37, 8
Arrange the numbers in ascending order:
8, 30, 37
Determine the middle value:
Since there are three numbers, the middle value is the second number, which is 30.
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Challenge An arts academy requires there to be 4 teachers for every 76 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students? The academy has 10 students per teacher.
Answers
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
Carolyn swim 35 laps in 1/2 hour. How far will she swim in 4 hours? Please help.
Answers
1/2+1/2=4
35+35=70
I think
please help i need two people to answer so i can award brainliest
Answers
Answer:
64 cookies are left to bake
Step-by-step explanation:
expressions that are equivalent to 3x+6y+3
Answers
Answer:
3(x+2y+1)
3x+6x+3
Step-by-step explanation:
What is the value of a?
A. 42.6
B. 31.6
C. 26.6
Answers
Answer:31.6
Step-by-step explanation: i did the test
please help with this
Answers
Answer:
[tex]7\sqrt{3} +12\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{12} -\sqrt{18} +3\sqrt{50} +\sqrt{75}[/tex]
[tex]\implies \sqrt{4\times3} -\sqrt{9\times2} +3\sqrt{25\times2} +\sqrt{25\times3}[/tex]
[tex]\implies \sqrt{4}\sqrt{3} -\sqrt{9}\sqrt{2} +3\sqrt{25}\sqrt{2} +\sqrt{25}\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} -3\sqrt{2} +3(5)\sqrt{2} +5\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} -3\sqrt{2} +15\sqrt{2} +5\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} +5\sqrt{3} +15\sqrt{2} -3\sqrt{2}[/tex]
[tex]\implies 7\sqrt{3} +12\sqrt{2}[/tex]
The function that assigns every positive three- digit integer the difference between the largest and the smallest digits. State the number of elements in the Domain and Range for this part.
Answers
77777
77777
77777
77777
77777
Evaluate. Express your answer to the nearest tenth, if necessary.
a) 5.3 ÷ (−8.4)
b) −0.25 ÷ (−0.031)
c) −5.3 + 2.4[7.8 + (−8.3)]
d) 4.2 − 5.6 ÷ (−2.8) − 0.9
~giving brainliest!~
Answers
The graph of f of x equals x squared is shown. A transformation is applied to f of x resulting in the function g of x equals x squared plus 2. Which graph shows g of x?Answer options with 4 options.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (2, 0) that opens up.C.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (0, negative 2) that opens up.B.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (0, 2) that opens up.D.F of x is a parabola with a vertex at (0, 0) that opens up. G of x is a parabola with a vertex at (negative 2, 0) that opens up.
Answers
Answer:
f(x) is a parabola with a vertex at (0, 0) that opens up
g(x) is a parabola with a vertex at (0, 2) that opens up
Step-by-step explanation:
Quadratic equation: [tex]y = ax^2 + bx + c[/tex]
The graph of a quadratic equation is a parabola. The value of [tex]a[/tex]determines its orientation.
If [tex]a>0[/tex] then the parabola opens upwards and its vertex is its minimum point.
If [tex]a<0[/tex] then the parabola opens downwards and its vertex is its maximum point.
Given:
f(x) = x²g(x) = x² + 2⇒ g(x) = f(x) + 2
So the transformation of f(x) to g(x) is an upward shift of 2 units, or
a translation of f(x) by the vector [tex]\left(\begin{array}{ccc}0\\2\end{array}\right)[/tex].
Therefore, the y-coordinate of the vertex of g(x) will be 2 units more than the y-coordinate of the vertex of f(x).
Therefore,
f(x) is a parabola that opens upwards with a vertex at (0, 0)g(x) s a parabola that opens upwards with a vertex at (0, 2)*PLEAS E HELP* *IRRELEVANT ANSWERS WILL BE REPORTED*
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 120 feet below the surface after 40 seconds. What is the scuba diver's rate of change (include the units)?
Find slope(Rate of Change)
Answers
Answer:
3 feet per secondStep-by-step explanation:
The rate of change is:
m = the change in depth / the change in time = (120 - 30) / (40 - 10) = 90 / 30 = 3 feet/secondTake 2 points
(10,30)(40,120)Rate of change=Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{120-30}{40-10}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{90}{30}[/tex]
[tex]\\ \rm\hookrightarrow m=3ft/s[/tex]
Abigail and her mom want to make matching pairs of polka-dotted pajama pants. So, they go to the craft store to pick out fabric. Abigail needs 4 feet of fabric for her pajamas, and her mom needs 6 feet of fabric. But, the store only sells fabric by the yard. If they buy 4 yards of fabric, how many feet will be leftover?
Answers
Explanation: A yard is 3 feet.
4 feet for Abigail and 6 for her mother makes 10 feet in total.
4 yards x 3 (to convert to feet, every yard is 3 feet, so you multiply) equals 12 feet.
12 - 10 is 2.
850 tickets were sold for a game for a total of $1,487.50. If adult tickets sold for $2.00 and children's tickets sold
for $1.50, how many of each kind of ticket were sold?
They sold_____
adult tickets and_____
children's tickets.
Answers
A number p has exactly 12 factors. Two of the factors are 4 and 15. Find the value of p
Answers
Answer:
p=60
Step-by-step explanation:
it is divisible by
1
60
20
3
4
15
2
30
12
5
6
10
A family goes to a theme park. The two grandparents pay 1/3
of the full entrance price. The two parents pay full price and the three children pay half price. A full price tickst costs £5.70. How much was the total cost of admission for the family?
Answers
parents ticket each: £5.70 x 2 = £11.40
children ticket each: £2.85 x 3 = £8.55
total: £23.75
£1.90 x 2 = £3.80 (the cost for both grandparents)
5.70/2 = £2.85 (what one child payed)
2.85 x 3 = £8.55 (the cost for all three children)
5.70 x 2 = £11.40 (the cost for both parents)
Add them all up
3.80 + 8.55 + 11.40
= £23.75 for the whole family
The quotient of two numbers is 3 their difference is 8 what are the two numbers
Answers
Answer:
x = 12, y = 4
Step-by-step explanation:
x / y = 3
x - y = 8
Or
12 / 4 = 3
12 - 3 = 8
HELP ME IM GOING TI FAIL IF YALL DINT HELP ME PLSSS!!!
Answers
Answer:
523.33375 cubic feet
Triangle BAC and Triangle EDF are similar. What is the length of DF?
Answers
Check the picture below.
(-5x2 – 43 – 1) +(-4x2 – 4x)
Answers
Answer:
−9x 2 -44-4x
Step-by-step explanation:
1 Simplifica -5{x}^{2}-43-1−5x
2
−43−1 a -5{x}^{2}-44−5x
2
−44.
-5{x}^{2}-44-4{x}^{2}-4x
−5x
2
−44−4x
2
−4x
2 Colecciona los términos semejantes.
(-5{x}^{2}-4{x}^{2})-44-4x
(−5x
2
−4x
2
)−44−4x
3 Simplifica.
-9{x}^{2}-44-4x
−9x
2
−44−4x
listo espero te halla ayudado
The circumference of a circle is 10.4mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
Answers
Answer:
diameter: 3.31 mm
Explanation:
circumference of circle → πd
using the formula:
10.4 = πd
d = 10.4/π
d = 3.31 mm
Answer:
diameter = 3.31 mm (3 sf)
Step-by-step explanation:
Diameter of a circle (d) = 2r (where r is the radius)Circumference of a circle = 2[tex]\pi[/tex]r (where r is the radius)⇒ circumference = [tex]\pi[/tex]d
Given:
circumference = 10.4 mm⇒ [tex]\pi[/tex]d = 10.4
⇒ d = 10.4 ÷ [tex]\pi[/tex] = 3.31 mm (3 sf)
Mathematics.................
Answers
Answer:
this Is 3 and the second one is also 3
1/2 of 6 is 5.5
6 x 1/2 = 9
This might not be accurate. I understand the question, but at the same time I don't. Sorry.
factor
2ay³/-4a²b
PLS HELP ME BRAINLIEST IF CORRECT
Answers
Answer:
the answer is y³/-2ab :)
For each expression, write an equivalent expression that uses only addition.
20−9+8−7
4x−7y−5z+6
-3x−8y−4−87z
Answers
Answer:
1) 28 - 16 = 12
2) 4x + 6 -7y -5z
3) -3x -8y - 4 - 87z
These were all mostly simplified already.
Hope this helps!